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Session L36 - General Poster Session II.
POSTER session, Wednesday morning, March 22
Exhibit Hall, MCC

[L36.001] Effect of starting material on ferroelectric properties of Pb_0.90La_0.15TiO_3 thin films.

Bhaskar Srinivasan (Dept. of Physics, University of Puerto Rico)

The substrate and precursor effects in sol-gel derived Pb_0.90La_0.15TiO_3 thin films were studied at various annealing temperatures in the range of 350 - 650^oC. Films for this study were prepared using acetic acid and methoxyethanol routes on Pt/Si and Pt substrates. X-ray results indicate that films prepared by acetic acid route show texturing along (100) orientation of the films with increasing annealing temperature. These film also exhibit better ferroelctric properties on Pt compared to Pt/Si substrates. Raman spectra show the stress induced softening of the lowest frequency mode with increasing annealing temperature in the films prepared by acetic acid and methoxyethanol route. However, relatively less phonon damping was observed in the methoxyethanol route processed films. The phase transition behavior in these films will be studied by high temperature Raman measurements. The structural, micro-Raman and electrical data from these films will be presented in detail. This work is supported in part by DE-FG02-91ER75764, DEPSCOR DAAG55-98-1-0012 AND NSF-DMR9801759 grants.

[L36.002] Computer Modeling of the Metal-Insulator Transition in Disordered Systems

Dain Horning, Kendall Mallory (University of Northern Colorado)

We have developed a computer model to study the effects of electron interactions on the metal-insulator transition in disordered systems. We will present some early results from this model. We have looked for the possibility of delocalized electron states existing in systems that normally exhibit only localized states.

[L36.003] Plasma Physics Calculations on a Parallel Macintosh Cluster

Viktor Decyk, Dean Dauger, Pieter Kokelaar (University of California, Los Angeles)

We have constructed a parallel cluster consisting of 16 Apple Macintosh G3 computers running the MacOS, and achieved very good performance on numerically intensive, parallel plasma particle-in-cell simulations. A subset of the MPI message-passing library was implemented in Fortran77 and C. This library enabled us to port code, without modification, from other parallel processors to the Macintosh cluster. For large problems where message packets are large and relatively few in number, performance of 50-150 MFlops/node is possible, depending on the problem. This is fast enough that 3D calculations can be routinely done. Unlike Unix-based clusters, no special expertise in operating systems is required to build and run the cluster. Full details are available on our web site: http://exodus.physics.ucla.edu/appleseed/.

[L36.004] Spin Expectation Values in Fermion Gases

Lauren Ault (The College of Wooster, Wooster OH 44691), Don Colladay (Colby College, Waterville, ME 04901)

Recently, the possibility of spontaneously breaking Lorentz invariance has been suggested in fundamental theories underlying the standard model. Resulting terms can have implications for a variety of low-energy experiments testing Lorentz and CPT symmetry. Here we investigate the effect of some of these terms on fermion gases. In some circumstances, such as thermal equilibrium, a small net expectation value on the spin of the fermion gas occurs. In addition, the number densities of left- and right-handed particles are found to differ. Some possible implications for early universe physics are discussed. This research was conducted at The College of Wooster with support from NSF-REU grant DMR 9619406.

[L36.005] First-principles study of higher-energy phases in Cu and its relation to the atomic configurations of extended defects

L.G. Wang, M. Sob (Inst. of Physics of Materials, Acad. Sci. of the Czech Republic, Brno, Czech Republic)

We performed full-potential first-principles total energy calculations for three displacive phase transformation modes in Cu. The structural and elastic properties of the ground state (fcc) and higher-energy phases (bcc and 9R), as well as the energy barrier for sliding of \111\_fcc close-packed atomic planes and the stacking fault energy were obtained. Stability of higher-energy phases in the region of extended defects is discussed in detail. Examples presented are bcc and 9R Cu in grain boundaries and bcc Cu in pseudomorphic films at low temperatures. It is shown that the higher-energy phases, which are usually unstable, can be stabilized in the region of extended defects by certain imposed constraints.

[L36.006] Dipolar interactions in systems with uniaxial symmetry

Demetris Nicolaides (Bloomfield College)

It is well known how the critical behavior of a ferromagnet, is altered considerably when one considers the effect of the long-range interaction due to pairs of magnetic dipoles in addition to the short-range spin-spin interactions. For example, the work of Larkin and Khmel'nitskii, using Feynman-graph expansions for d=3, showed that the critical behavior of a uniaxial ferromagnet with both exchange and dipolar interactions has logarithmic corrections not expected classically. This was verified with exact renormalization group equations and the \varepsilon -expansion, as well as predicted that the critical behavior of a d-dimensional uniaxial Ising ferromagnet with dipole-dipole interactions belongs in the same universality class as a (d+1)-dimensional, strictly short-range Ising ferromagnet. In the present work, an alternative approach will be used to confirm and generalize this result. It will be shown that d-dimensional uniaxial systems with isotropic short-range as well as dipole-dipole interactions have d=3 as the upper marginal dimension above which mean-field behavior fully sets in, and below which critical behavior prevails. Unlike the \varepsilon -expansion where the validity of the results depends on the smallness of \varepsilon , the method used here derives the result for any d without any constraints. The study of such systems will be done by considering a model with reduced interactions of fluctuations, allowing for the exact calculation of the partition function.

[L36.007] Ground-state Properties of One-dimensional Symmetric Periodic Anderson Model Away From Half-filling

Yan Luo, Nicholas Kioussis (Department of Physics, California State University Northridge, Northridge CA 91330-8268)

The ground-state energy, the local moment, the effective hybridization, and the projected f- and conduction density of states of the one-dimensional periodic, symmetric Anderson Lattice Model have been investigated as a function of U, V and band filling using the local mean-field (LMF) method. We have evaluated the magnetic phase diagram for the symmetric case, which shows three distinct phases: the antiferromagnetic, ferromagnetic, and Kondo phases. The antiferromagnetic phase is found to be the ground state at the half-filling and the quarter-filling cases with strong Coulomb coupling.

[L36.008] X-ray Temperature Difference Absorption Spectra (XTDAS) Analysis of Phase Transitions in NiS2-xSex (x=0.62)

Quang Le, Professor Juana Acrivos Collaboration, Boichau Nguyen Collaboration, Rizwana Shaikh Collaboration, Charles Burch Collaboration

Transmission x-ray absorption spectra (XAS) for amorphous powder NiS2-xSex (x=0.62) versus temperature (T) has been measured at the Ni and Se K-edges in the 4K to 150K temperature range to determine the presence of a temperature and composition dependent metal to insulator transition. The changes in the XAS over the temperature range support the Mott-Hubbard model, which exists at Se compositions varying between x~0.4 and x~0.6 and in the 0K to 115K temperature range.

[L36.009] Spin-Echo Decay Rates of ^29Si in URu_2Si_2 at High Temperatures

C. Rodrigues, O. O. Bernal (California State University, Los Angeles), H. G. Lukefahr (Whittier College, Whittier)

We present a study of ^29Si spin-echo relaxation in URu_2Si_2. Our measurements reveal a difference between the Hahn-echo method [\pi/2--\tau--\pi--detection] and the Carr-Purcell-Meiboom-Gill method [(\pi/2)_90^\circ--\tau--\pi--\tau--\pi\ldots detection] even at high temperatures (T\ge40~K). These results are compared with Hahn-echo and Carr-Purcell-Meiboom-Gill measurements of spin-echo relaxation in insulator and simple-metal samples. Possible origins of the high-T difference between the two methods in URu_2Si_2 are explored. We discuss our results in view of published T_2-data on URu_2Si_2.

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[L36.010] Electronic properties of single crystalline UIrGe in high magnetic fields

H. Nakotte, S. Chang (Physics Department, New Mexico State University, Las Cruces NM 88003), K. Prokes (Hahn-Meitner-Institute, NE, Glienickerstrasse 100, D-141 09 Berlin, Germany), A. H. Lacerda (National High Magnetic Field Laboratory, Pulse Field Facility, Los Alamos National Laboratory, Los Alamos NM 87545), I. Hagmusa (Van der Waals-Zeeman Institute, University of Amsterdam, Valckenierstraat, 1018 XE Amsterdam, The Netherlands)

UIrGe crystallizes in the orthorhombic TiNiSi structure and exhibits a huge magnetic anisotropy with the hard magnetization axis along the a-axis. Previous magnetic, transport and thermal studies indicated anti-ferromagnetic ordering below 15.8 K with an additional transition at 14.1 K [1]. For the present work, we have performed magnetization, magnetoresistance and specific heat measurements in magnetic fields up to 18 T. The data were taken in order to determine the magnetic phase diagrams for UIrGe in fields applied along the principle axes. [1] K. Prokes et al., Phys Rev B. 60 (1999) 9532

[L36.011] Ultrasonic measurements of UPt3 at high magnetic fields

Jeffrey R. Feller (Northwestern University, Physics Dept.), Chrong-Chu Tsai (Northwestern University), D. Dasgupta (University of Wisconsin-Milwaukee), D. G. Hinks (Argonne National Laboratory, Argonne, IL), J. B. Ketterson (Northwestern University), Bimal K. Sarma (University of Wisconsin-Milwaukee), Northwestern University Collaboration, University of Wisconsin-Milwaukee Collaboration, Argonne National Laboratory Collaboration

Ultrasound velocity and attenuation measurements have been performed on the heavy fermion compound UPt3 in magnetic fields up to 33 T and at temperatures down to 50 mK. With the field applied in its basal plane, UPt3 is known to undergo a metamagnetic transition near 20 T. This is evidenced by a large velocity dip (Dv/v > 5% at the lowest temperatures), accompanied by a peak in attenuation. The temperature- and frequency-dependence of these features will be discussed. Additional structure appears below \sim300 mK, including quantum acoustic oscillations. The field dependence of the period and amplitude of these oscillations suggest a reconstruction of the Fermi surface at the metamagnetic transition.

[L36.012] Microwave response of the heavy fermion superconductors UBe13 and U0.9725Th0.0275Be13

J. R. Feller, C. T. Lin, Chrong-Chu Tsai (Northwestern University), J. L. Smith (Los Alamos National Laboratory), J. B. Ketterson (Northwestern University), Bimal K. Sarma (University of Wisconsin-Milwaukee), Northwestern University Collaboration, University of Wisconsin-Milwaukee Collaboration, Los Alamos National Laboratory Collaboration

The superconducting transition temperature Tc of the heavy fermion system U1-xThxBe13 depends strongly on the Thorium concentration [Heffner, et al., Phys. Rev. Lett., 65, 2816 (1990)]. Tc is found to decrease monotonically from \sim0.86 K for x = 0 to \sim0.48 K for x = 0.019. For 0.019 < x < 0.043, however, two transitions are observed. These are visible as anomalies in, for example, magnetization, specific heat, and muon spin resonance data. It has been suggested that this double transition is evidence of a coexisting antiferromagnetic phase, or of a multi-component superconducting order parameter. We have measured the normalized surface impedance of two U1-xThxBe13 samples: the first with a Thorium concentration of 2.75 %, the second with no doping (UBe13). For these measurements a cylindrical copper cavity, resonated at frequencies \sim9-30 GHz, was employed. The cavity and sample were cooled using a dilution refrigerator with a top-loading feature. The temperature was varied from \sim85 mK to \sim0.9 K. Magnetic fields were also applied. The predicted double transition, with Tc1 \sim 0.6 K and Tc2 \sim 0.4 K, are observed in the doped sample. The second transition is evidenced as a kink in the resistance and a broad peak in the reactance.

[L36.013] Effects of p-p energy transfer on the pairing correlations in the one-dimensional d-p model

Zhongbing Huang, Haiqing Lin (Department of Physics, The Chinese University of Hong Kong, Hong Kong), James Gubernatis (Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545)

Using the constrained-path Monte Carlo (CPMC) method, we have studied the one-dimensional d-p model for the cases with finite Coulomb repulsion on d sites, and mainly examined the effects of transfer energy t_pp between the nearest-neighbor p sites on pairing correlations with different symmetry. Of these pairing correlations, we observed that only the tail of singlet pairing between the nearest-neighbor p sites increases explicitly with the increase of t_pp, while others decrease or increase negligibly. But for all symmetries, the vertex contributions fluctuate around zero at large distance, therefore it is difficult to determine which pairing channel dominates when the critical exponent of the correlation functions K_\rho > 1.

[L36.014] Peierls instability in a polymer chain

C.Q. Wu, Y.Z. Zhang (Phys. Dept., Fudan Univ., Shanghai, China), H.Q. Lin (Phys. Dept., Chinese Univ. of Hong Kong, Hong Kong, China)

By using a Su-Schrieffer-Heeger-type Hamiltonian, we investigate the Peierls instability in the substituted polyacetylene with lateral radical R. It is found that the Peierls dimerization along the polyacetylene chain is suppressed by increasing \pi-electron hopping between the radicals and the associated carbons. The expected quadrimerization, which is required by the Peierls theorem, does not appear in this kind of one-dimensional systems. The physical reason behind the fact is that the electronic energy gap is not again proportional to the lattice distortion as usual and then the logarithm term, which is the driving force for the Peierls instability, does not exist in the electronic energy gain of the system.

[L36.015] Elastic moduli and Entropy Considerations at the delta-epsilon Phase Transition in Pu

Timothy Darling, Albert Migliori, Joseph Baiardo, Franz Freibert, Stuart Trugman (Los Alamos National Laboratory)

Recent elastic modulus measurements by us on Ga stabilized \delta-Pu, as well as a critical examination of latent heat, elastic modulus and crystal structure data on this unusual metal suggest that some of the many structural phase transitions of Pu may be understood within a simple thermodynamic model. We show that the free energy of Pu in the FCC \delta phase and the BCC \epsilon phase, as well as the negative volume expansion coefficient of \delta can be understood and almost entirely accounted for by the phonon contributions to the entropy and the structure. We suggest that the behavior and stability of Pu is driven by the low elastic shear moduli that this material possesses, and that electronic structure calculations need only account for the low temperature monoclinic phase. Variation of the number of itinerant f electrons is unnecessary for an accurate description of the higher temperature phases.

[L36.016] Ground-State of the Single Impurity Anderson Model (SIAM) with Correlated Conduction Electrons

William J. Massano (SUNY Maritime), Jay D. Mancini, Vassilios Fessatidis (Fordham University), Samuel P. Bowen (Chicago State University)

In this work we shall consider the Hamiltonian system given by H=H_A+H_C where H_A is the usual SIAM Hamiltonian given in second-quantized notation by \[ H_A=\sum_k,sn_k,s\varepsilon _k,s +\sum_sE_sN_s+UN_rN_l+\sum_k,sV(k) \left[ c_k,sf_s+f_sc_k,s\right]. \] The interaction H_c=U_c\sum_k

[L36.017] Moments Expansion Study of the Rabi Hamiltonian

Jay D. Mancini, Vassilios Fessatidis (Fordham University), Samuel P. Bowen (Chicago State University), Robert K. Murawski (Stevens Institute of Technology)

The interaction of a single bosonic mode with a two-level fermion system has been the subject of a large number of articles in the physics literature for quite some time. For the condensed-matter physicist the boson in question is typically a phonon whereas the fermion system is represented by a two-level electron structure. The Hamiltonian which yields the appropriate physics is given by the Rabi Hamiltonian. In second-quantized notation this may be written as \[ \hatH=\frac12 ømega_0 \sigma_z+ømega b^b+ g\left(\sigma^+ b^\dagger+\sigma^+ b+ \sigma^- b^\dagger+\sigma^- b \right). \] Here the \sigma's are the usual Pauli matrices, while b and b^\dagger are the Bose operators for the (quantized) field modes. In general the natural transition frequency ømega_0 of the atom need not coincide with the boson-mode frequency ømega. In this work we shall use both the Connected Moments Expansion (CMX) and the Alternate Moments Expansion (AMX) as well as the non-perturbative Lanczos tridiagonal scheme to study the ground-state spectrum of this system. Comparisons will be made with other approximation schemes as well as ``exact" methods.

[L36.018] Generalized 2nd and 3rd order moments expansion

Robert K. Murawski (Stevens Institute of Technology), Jay D. Mancini, Vassilios Fessatidis (Fordham University), Samuel P. Bowen (Chicago State University)

A number of years ago, Cioslowski (Phys. Rev. Lett. 58, 83 (1987)) utilizing a t-expansion derived a novel expression to estimate the expectation value of the ground-state of quantum many-body systems. His derivation of a Connected Moments Expansion (CMX) was obtained through the use of a helper function. Following this work, Mancini et al.\ (Int. J. Quantum Chem. 50, 101 (1994) ) chose a different helper function to derive an Alternate Moments Expansion (AMX). The algebra of the problem suggests that there exists a set of helper functions and hence a set of unique moments expansions. In this work we present a Generalized Moments Expansion (GMX) which has as a subset both the CMX and AMX, and apply it to the harmonic oscillator.

[L36.019] Schrödinger Green's Function for an Electron in an Anisotropic Harmonic Potential in the Presence of Electric and Magnetic Fields

Vassilios Fessatidis (Fordham University)

We have examined the nonrelativistic retarded Green's function for electron motion confined by an anisotropic harmonic oscillator potential and in the presence of constant magnetic and electric fields. Here the electric field is at an arbitrary orientation with respect to the magnetic field. A closed form expression for the propagator is obtained by employing Schwinger's equation of motion operator technique.

[L36.020] Liquid Crystalline Behavior of DNA Fragments

Sean English, Shila Garg (The College of Wooster, Wooster OH 44691)

An investigation of the liquid crystalline phases of DNA fragments in different buffer solutions is reported. Previous studies have shown that a strong correlation exists between the critical concentration and the average length of DNA fragments for the observed mesophases of DNA [1]. The focus of our study is to understand the phase ordering of DNA due to changes in concentration under various boundary conditions. Previous studies have utilized evaporation as a means for increasing the concentration of the DNA samples [2]. The effects of evaporation on the development of precholesteric and cholesteric phases will be examined.

[1] K. Merchant and R. Rill, Biophys. J. 73, 3154 (1997). [2] F. Livolant, J. Physique 48, 1051 (1987). This research was partially supported by the Copeland Fund, administered by The College of Wooster.

[L36.021] Fluctuations in a near-critical steady state with temperature gradient

Alexander Patashinski (Northwestern University, Evanston Illinois), Alexander Burin (Northwestern University, Evanston, Illinois)

In liquids, temperature gradients change the large scale fluctuations due to mode coupling. For scales larger than the mode coupling radius, nonequilibrium fluctuations are stronger than equilibrium ones. Near the critical temperature Tc the mode coupling radius decreases with decreasing T-Tc, while the equilibrium correlation radius increases, and at some temperature Tcc, both characteristic lengths coincide. At Tcc>T>Tc, the fluctuations at large scales in the critical range change, the temperature gradient becomes a new relevant critical parameter; the correlation radius and the mode coupling radius as functions of this parameter yield new scaling laws. Suported by NASA Grant NAG3-1932

[L36.022] Molecular Segregation-Desegregation and Ordering: A Hybrid Computer Simulation Approach

Grace Foo (National University of Singapore), Ras Pandey (University of Southern Mississippi)

Effect of heterogeneous matrix density on segregation and orientation of short chain molecules (dimer, trimer, etc.), a model for polymer dispersed liquid crystal (PDLC), is studied by a computer simulation. The hybrid computational method involves discrete lattice and off-lattice simulations to incorporate its strength in moving the system efficiently and capturing the details; this method is also used for long chain polymer systems. On increasing the matrix density (p_b), the size of molecular aggregates is found to increase leading to a polymerization-induced segregation and seems consistent with the recent experimental observations. Orientational ordering is found to depend on the molecular weight in which the ordering decreases monotonically with the matrix density for low molecular weight liquid. For higher molecular weight liquid, on the other hand, it depends non-monotonically on the molecular weight. Similar study is also carried out at different temperatures which play an important role in clustering of molecules and their orientational ordering. Some of these results will be presented.

[L36.023] Modeling Orientational Ordering in Main-Chain LC Polymers

Paul Wessels, Bela Mulder

We present a density functional theory approach to the study of main-chain LC polymers. These polymers are modeled to consist of M slender rod-like segments joined together end-to-end. A generic bending potential between successive segments provides for a molecular flexibility mechanism. The interaction between different polymers is described by segment-segment excluded volume interactions.

The model allows the analytical determination of the isotropic-nematic (IN) bifurcation (spinodal) densities. Numerical solutions to the self-consistency equations are also obtained under various conditions. We determine the dependence of the order parameter jump \langle P_2 \rangle at the transition and the coexistence (binodal) densities as a function of the chain flexibility for several values of the chain length.

One of the advantages with working with a segmented chain model is that the generalization to other (more general) classes of systems is immediate. We illustrate this point by the application of our model to biaxial polymers and block copolymers for which we calculate the IN bifurcation densities.

[L36.024] Dielectric and Photon Correlation Spectroscopy of Filled Nematic Liquid Crystal

Fouad Aliev, Ghanshyam Sinha (Department of Physics, University of Puerto Rico, PR 00931)

Nematic liquid crystal filled with aerosil particles has been investigated by broadband dielectric spectroscopy (BDS) and photon correlation spectroscopy (PCS). The aerosil particles of diameter \simeq 10 nm in filled nematic liquid crystals form a network structure with linear size of LC domains about 250 nm and with random distribution of the director orientation of each domain. This material has a very developed liquid crystal-solid particle interface that makes the role of the surface layers of LC important in the determination of the properties of the material. BDS provides information on reorientational motion of polar molecules of liquid crystal while PCS probes dynamics of collective modes associated with director fluctuations. We found that the properties of 5CB are considerably affected by the network. Two bulk-like dielectric modes due to the rotation of molecules around short axes and the tumbling motion were observed in filled 5CB. Additionally, a low frequency relaxation process and dispersion of dielectric permittivity due to conductivity were observed. The treatment of the surface of filling particles has strongest influence on the properties of the slow process and it is less important for molecular modes. PCS experiment shows that two new relaxation processes appear in filled 5CB in addition to the director fluctuations process in bulk.

[L36.025] Molecular and Collective Relaxation in Liquid Crystals Partially Filling Cylindrical Pores

Zaira Nazario, Timofei Krouglov, Ghanshyam Sinha, Fouad Aliev (Department of Physics, University of Puerto Rico, PR 00931)

We have investigated the influence of layer thickness on dynamical behavior of liquid crystal (LC) - 8CB - partially filling cylindrical pores by dielectric and photon correlation spectroscopies (PCS). Layers of different thickness are formed on the pore walls as a result of controlled impregnation of porous matrices (Anopore membranes). Dielectric spectra of samples with different LC layer thickness consist of the main peak (f_m \sim 5 MHz) due to the reorientation of molecules around short axis and secondary peak (f_m \sim 50 MHz) - tumbling mode - with much smaller amplitude. Since the probing electric field was parallel to the pore axis the presence of the tumbling mode suggests that the orientation of molecules in partially filled pores is not perfectly axial. The relative contribution of the tumbling process increases with the decrease of the thickness of LC layer. The main relaxation process broadens and its relaxation times decrease with decreasing thickness. Results on structure and orientation in surface layers obtained in PCS experiments, probing collective dynamics of director fluctuations, were consistent with dielectric data. These experiments allow clarifying the role of the surface layers on the physical properties of geometrically restricted LC.

[L36.026] Liquid crystals in the SiO_2 opals

Daeseung Kang, Joseph E. Maclennan, Noel A. Clark (Department of Physics and Ferroelectric Liquid Crystal Materials Research Center, University of Colorado, Boulder, CO), Ray H. Baughman (AlliedSignal Corp., Morrstown, NJ)

We have investigated the electro-optical properties of liquid crystals (LCs) that are confined in a regularly arranged opal structure. It is known that periodic structures of dielectric solids can exhibit photonic band gaps. Three-dimensionally periodic structures made of SiO_2 spheres with the diameter ranging from 100 to 400 nm are realized by a sedimentation process between two ITO glass plates. The empty space is then infiltrated with a liquid crystal. An external electric field applied on the LC-opal composite changes the effective refractive index and, as a consequence, alters the stop band wavelength. Additionally we have made inverse opal structures by replacing the liquid crystal with a polymer matrix, and then by extracting the SiO_2 particles. Field induced phenomena on the LC-inverse opal are discussed. This work was supported by the NSF MRSEC Grant DMR 98-09555, the NSF Grant DMR 96-14061 and the NASA Grant NAG3-1846.

[L36.027] Structure and Phase Determination of Laterally Attached Side-Chain Liquid Crystalline Polynorbornenes with a One-Carbon Spacer

Gue-Hyun Kim, Coleen Pugh, Stephen Z. D. Cheng* (Maurice Morton Institute and Department of Polymer Science, The University of Akron, Akron, Ohio 44325-3909)

A series of polynorbornenes (PNBEs) with 1,4-bis[(3´-fluoro-4´-n-alkoxyphenyl)ethynyl] benzene mesogens (n = 9-12) laterally attached to the polymer backbone through a one-carbon spacer was synthesized by ring-opening metathesis polymerization of the corresponding norbornene-based monomers. Wide angle X-ray diffraction experiments demonstrate that the mesogens organize into the tilted layer structure of a smectic C phase at room temperature, and polarized light microscopy demonstrates that the highest temperature phase is a nematic phase. Upon heating above room temperature, the tilt angle of the smectic C phase of all of the PNBEs (n = 9 - 12) continuously decreases, especially at temperatures above 60°C. However, the smectic C phase of PNBE (n = 12) transforms to a smectic A phase at 85 °C, whereas the smectic C phase of the PNBEs (n = 9 - 11) transforms to a N phase. The phase transformation between the smectic C and the smectic A phases is characterized by a second-order transition.

[L36.028] DENDRITIC GROWTH IN NEMATIC LIQUID CRYSTALS

Joshua Martin, Shila Garg (The College of Wooster, Wooster OH 44691)

The experimental study of the onset of electrohydrodynamic convection (EHC) through a dendritic growth is reported. If a magnetic Freedericksz-distorted liquid crystal of negative dielectric anisotropy is subjected to an electric field parallel to the magnetic field, EHC sets in through the nucleation of dendrites [1,2]. Measurements of tip speeds of the dendrites as a function of applied voltage at a fixed magnetic field are made. The goal is to explore the effect of the magnetic and electric fields on the dendritic growth. In addition, pattern dynamics is monitored once the final state of spatio-temporal chaos is reached by the system. [1] J. T. Gleeson, Nature 385, 511 (1997). [2] J. T. Gleeson, Physica A 239, 211 (1997). This research was supported by NSF grants DMR 9704579 and DMR 9619406.

[L36.029] The influence of ions on the "V-shaped" electrooptic response of ferroelectric liquid crystals with high spontaneous polarization

Martin Copic, Danielle Bundy, Joseph E. Maclennan (Affiliation), Noel A. Clark (Ferroelectric Liquid Crystal Materials Research Center, Department of Physics, University of Colorado at Boulder, CO 80309-0390)

It has recently been shown that in surface stabilized ferroelectric liquid crystal (SSFLC) cells with high spontaneous polarization the polarization charge self-interaction leads to a so-called "V-shaped" optical response to an applied voltage. The presence of ionic free charges in the liquid crystal, however, changes the internal electric field and therefore also the spatial dependence of the polarization and optic axis orientation. We have numerically solved the nonlinear ion diffusion equation in the electric field due to external voltage, spontaneous polarization and ions, and calculated the electrooptic response to a triangular applied voltage. When the period of the driving voltage is smaller than the zero-field diffusion time of the ions across the cell and larger than the ion transit time in the applied field, an inverse hysteresis in the electrooptic response is obtained, in agreement with experimental observations. At these time scales ions also cause characteristic changes in the shape of the electrooptic response. This work was supported by NSF MRSEC Grant DMR 98-09555 .

[L36.030] Depletion and Reentrant Phase-transitions with Colloids and Dendrimers

A. G. Yodh, Jian Zhang, Subrata Sanyal (Department of Physics amp; Astronomy, University of Pennsylvania, PA 19104)

Starburst Polyamidoamine (PAMAM) dendrimers represent ``dense star'' polymers that unlike classical polymers have specific size and shape characteristics, a high degree of monodispersity and molecular uniformity. Using optical microscopy, we have studied systems composed of aqueous suspensions of charged polystyrene colloids and ``generation'' 9.5 PAMAM dendrimers. Depletion-mediated crystallization of colloids is observed. In addition, an entropy-driven reentrant phase behavior (liquidlike to solidlike to liquidlike) of colloids is tentatively observed with the systematic increase of dendrimer concentration and a fixed colloid concentration.

[L36.031] Structural Relaxation of Soft Giant Micelles with Liquid Like Order

Reinhard Sigel (FO.R.T.H.-IESL Heraklion, Crete, Greece), Stergios Pispas (Department of Chemistry, University of Athens, Athens, Greece), Dimitris Vlassopoulos (FO.R.T.H.-IESL Heraklion, Crete, Greece), Nikos Hadjichristidis (Department of Chemistry, University of Athens, Athens, Greece), George Fytas (FO.R.T.H.-IESL Heraklion, Crete, Greece)

In a selective solvent, diblock copolymers form micelles consisting of colloid like cores and tethered polymer "hairs". Liquid like order of these soft colloids gives rise to a maximum in the structure factor S(q), which for high polymeric molecular weight is accessible by dynamic light scattering. While a pronounced slowing down of the collective diffusion at the maximum position is well known for hard spheres, which just reflects an enhanced lifetime of the fluctuation with the largest amplitude, a similar effect is not observed for micelles with long hairs (hairy micelles). A coupling of translational and rotational motion due to shearing forces is suggested as an explanation. On going to micelles with shorter hair, the slowing down is partly recovered. In addition to the diffusion dynamics, the scattering data show two relaxation modes, which arise from the motion of the hairs and are also detected by dynamic mechanical experiments. They barely depend on q and - in contrast to the viscosity - on the concentration.

[L36.032] Heat Transfer and Onset of Convection in a Very Compressible Fluid

Andrei Kogan, Horst Meyer (Duke University)

The heat transfer has been studied in a Rayleigh-Bénard cell filled with ^3He at the critical density over the reduced temperature range 5\times10^-4 < \epsilon < 0.2 where \epsilon = (T-T_c)/T_c with T_c = 3.316 K. The experiment consisted in measuring the temperature difference \Delta T(t) across the fluid layer as a function of time after turning on a constant vertical heat current q. The height of the fluid layer was 1 mm and the aspect ratio \Gamma = 57. The thermal conductivity in the non-convective state and the onset of convection were determined, and measurements were made of \Delta T(t = \infty) as a function of q up to reduced Rayleigh numbers (Ra-Ra_c)/Ra_c of the order of 5 \times 10^3. The onset of convection agreed well with predictions combining the Schwarzschild and Rayleigh criteria. As q is increased beyond the onset of convection, several qualitatively different patterns in \Delta T(t) are observed until the steady state is reached. These patterns, among them unusual oscillatory ones, change as q and \epsilon are varied and a map of the various features in \Delta T(t) is presented in the [\Delta T(\infty), \epsilon] plane. The power spectrum in the convective regime will also be discussed. The transient measurements of \Delta T(t) in the non-convective regime were in very good agreement with predictions based on the theory by Onuki and Ferrell.

[L36.033] Twisted and Braided Vortices in Rotating Channel Flow

Jessica Levine, Joseph Niemela (University of Oregon)

We report observations of two types of secondary flow patterns in a channel flow subject to spanwise rotation: twisted and braided vortices. These states have many similarities to those patterns first observed in Taylor-Couette flow (TVF) by Andereck, Dickman and Swinney (Phys. Fluids 26, 1983) and can coexist at the same Reynolds number. The streamwise wavenumber, corresponding to the twists, or to the spacing of vortex crossings, has broadband components in the power spectrum, as in the case of TVF. The spectrum is determined from light intensity measurements at a particular downstream point as the vortices are swept by. A 1.75% by volume mixture of Kalliroscope flakes in water is used for flow visualization and reflectance measurements. A laser beam is transmitted across the channel width and scattered light is detected off-axis by a sensitive fast photodiode with wide angle collection optics. With span-to-width aspect ratios as small as 2, single braided roll pairs are observed. Spatial and temporal characteristics are observed as a function of Reynolds and Rossby number. Research supported by NSF grant CTS-9422442.

[L36.034] Flow Through Layered Porous Media in Gradient Field: Response of Flux Rate and Density Distribution

Ras Pandey (University of Southern Mississippi), Joe Gettrust (Naval Research Laboratory)

A lattice gas model is used to study the flow of gas (methane) within marine sediments with simplified pressure and temperature gradient conditions. The porous sedimentary material is described by a matrix on a discrete lattice. Geologic fault zones, in which the porosity is higher than the surrounding material are imbedded in the model. The bottom layer of the matrix is connected to a source of gas, which is modelled by particles with simplified particle-particle, particle-pore, and particle-barrier interactions. The Metropolis algorithm is used to move the gas particles, which are driven by the density gradient at the source, temperature, and a pressure gradient, from bottom to the top of the model where gas particles can escape the system. In this non-conservative open system, a steady state is accomplished for both the flow rate and the density distribution. Response of the flow rate is studied in detail as a function of pressure and temperature gradient. Both linear and nonlinear responses of the flow rate are observed and the crossover regime is identified. We show that the steady-state density profile depends on porosity, magnitude of the field, and the temperature. Some specific profiles and flow predictions will be presented.

[L36.035] Self-consistent Approach to Finite-Temperature Excitations in Dilute Bose Gases

Emil Lundh, P. Ao, Lars M. Jensen (Dept.\ of Theoretical Physics, UmeåUniversity, S-90187 Umeå

Using a path-integral approach, we develop a self-consistent theory of excitations at finite temperature for dilute Bose gases. The use of pairing fields \langle \psi \psi \rangle, \langle\psi^\psi \rangle ensures validity in a broader temperature range than the traditional condensate-wavefunction approach can offer. We derive Bogoliubov equations, dispersion relations and critical temperatures for both homogeneous and trapped systems.

[L36.036] Strongly interacting one-dimensional Bose condenstates

B. Tanatar (Bilkent University)

We study the interaction effects on the condensates by considering a model of one-dimensional bosons. The power-law type external potential allows for the formation of a condensate in these systems. Using a density-functional theory type formalism we obtain an equation describing the condensate wave function in the limit of very strong interactions between the bosons. The properties of the condensate in the model system with strong interactions are investigated.

[L36.037] Harmonically Trapped Quantum Gases

M. Grether (Facultad de Ciencias, UNAM, México D.F., México), M. Fortes (Instituto de F\'\isica, UNAM, México D.F., México), M. de Llano (Instituto de Investigaciones en Materiales, UNAM, México D.F., México), J.L. del R\'\io (UAM, Unidad Iztapalapa, México D.F., México), F.J. Sevilla, M.A. Sol\'\is, S. Tapia (Instituto de F\'\isica, UNAM, México D.F., México), A.A. Valladares (Instituto de Investigaciones en Materiales, UNAM, México D.F., México), Universidad Autónoma Metropolitana Collaboration, Universidad Nacional Autónoma de México Collaboration

We solve the problem of an ideal boson or fermion gas in d-dimensions trapped by \delta \leq d mutually perpendicular harmonic oscillator potentials and obtain the general density of states from which thermodynamic properties such as internal energy, specific heat, etc. can be determined. The trapped system is identical that of the corresponding ideal quantum gas in d+\delta dimensions but with an effective mass that vanishes in the thermodynamic limit.

[L36.038] Stability of Vortices in Two-component Bose Condensates

Hualin Shi, Sui-Tat Chui (Bartol Research Institute, University of Delaware)

We study the stability of vortices in two-component Bose condensates by means of Monte Carlo simulations. The total energies of condensates with different vorticity have been calculated. The global stability has been analyzed with and without rotating fields. We study the local stability of vortices prepared in the recent JILA experiment (M. R. Andrews et al., Phys. Rev. Lett. 83, 2498 (1999)), where there are two available configurations in which one specie has vorticity m=1 and the other one has m=0. The relationship between the stability with the interacting strengths has been studied. We find both of configurations are not locally stable when the interacting strengths are weak, but when the interacting strengths are strong enough both of configurations are locally stable. At a certain condition, one configuration is locally stable and the other one is not.

[L36.039] Excited States of a Bose Condensate in a Harmonic Trap

Kunal Das, T. Bergeman (SUNY Stony Brook)

Experimental observations [1,2]of some of the modes of lowest frequency above a Bose condensate in a harmonic trap raises the question whether higher modes might also be observed. A systematic study of various modes would provide valuable diagnostics for the Bose condensate regime and might also provide useful research tools, analogous to atom Rydberg states. Using the Hartree-Fock Bogoliubov equations and discrete variable representation methods [3], as well as perturbation approaches, we have calculated energies as a function of atom number, atom-atom interaction and temperature. For a spherically symmetric trap, we find that asymptotically, the energies approach the bare harmonic oscillator values as 1/sqrt(n), where n is the number of radial nodes. We have begun to address the crucial question of widths, taking into account Landau and Beliaev processes. Our first results, also for spherical symmetry, indicate that as a function of energy, the widths vary somewhat randomly about a slowly decreasing trend. We will discuss means to excite these resonances selectively by off-resonance modulated laser light or by stimulated Raman scattering. 1. D. S. Jin et al. Phys. Rev. Lett. 78, 764 (1997). 2. D. Stamper-Kurn et al., Phys. Rev. Lett. 81, 500 (1998). 3. T. Bergeman et al., abstract this meeting.

[L36.040] Studies of surface spin waves and exchange interactions

Mark van Schilfgaarde (Sandia Nat.Lab.,Livermore,CA), Vladimir Antropov (Ames Lab,Ames,IA)

A layer version of the tight-binding LMTO-GF method was used to obtain exchange interaction parameters and spin wave spectrum at the surface of elementary ferromagnets (Fe,Ni,Co) with the local spin-density functional approximation. Different ways of calculating of exchange parameters in density functional approach were used and the results compared. The stability and characteristic range of surface spin wavecompare to bulk ones have been estimated and possible connection with experimental data emphasized.

[L36.041] GW quasiparticle bandstructure of YH_3

Takashi Miyake, Ferdi Aryasetiawan (JRCAT-ATP, 1-1-4 Higashi, Tsukuba, Ibaraki 305-0046, Japan), Hiori Kino (Institute for Solid State Physics, University of Tokyo, Roppongi, Minato-ku, Tokyo 106-8666, Japan), Kiyoyuki Terakura (JRCAT-NAIR, 1-1-4 Higashi, Tsukuba, Ibaraki 305-8562, Japan)

We present the bandstructure of YH_3, which exhibits a metal insulator transition under continuous increase of hydrogen concentration from 2 to 3. Although LDA calculations suggest that the trivalent hydride has no band gap unless we assume a complicated structure, the quasiparticle band with the GW approximation reproduces insulating behavior. The role of the self-energy correction is to raise the unoccupied Y4d band rather than to decrease the band-width of the occupied H1s band. The results will be compared with other theories which are based on model Hamiltonians. The effect of the self-consistency will be also discussed.

[L36.042] A Database of Fermi Surfaces in Virtual Reality Modeling Language

Tat-Sang Choy, Jeffery Naset, Selman Hershfield, Christopher Stanton (Physics Department, University of Florida), Jian Chen (Seagate Technology)

We have built a database of Fermi surfaces in Virtual Reality Modeling Language (VRML) for 45 elemental solids. Running any of the free VRML browsers on an entry level personal computer, a user can rotate and fly through the 3-dimensional Fermi surfaces in real time. The homepage of the database contains a periodic table that links to the Fermi surface pages of individual elements. For each of the solids, the Fermi surface of a band that crosses the Fermi level is contained in one of the 167 VRML files. The average size of the files is less than 70KB. To obtain the Fermi surfaces, the energy E(k) in k-space is calculated using a nine-band tight-binding model. The energy data is then passed through an isosurface generator which also clips the surfaces with the boundary of the first Brillouin zone. The website also provides a CGI script which returns Fermi surfaces in VRML using user-submitted energy data. The homepage of the database is \underlinehttp://www.phys.ufl.edu/fermisurface .

[L36.043] Tight Binding Electronic Structure Calculation of (GaAs)_n/(Ge_2)_n (2 \leq n \leq 4)

Jeffrey Rufinus (University of Wisconsin)

We have performed a calculation of electronic structure of (GaAs)_n/(Ge_2)_n Superlattice (2 \leq n \leq 4) with Tight Binding Method. We have found that the band-gaps are direct. Previous self-consistent pseudopotential calculations also showed that in the range of ( 2 \leq n \leq 4) the band-gaps of (GaAs)_n/(Ge_2)_n are direct.

[L36.044] Electronic excitations in II-VI compounds from an ab-initio GW approach

Andrzej Fleszar, Werner Hanke (Inst. for Theoretical Physics, University of Würzburg, 97074 Würzburg, Germany)

The electronic excitation spectrum in baryllium, magnesium, cadmium and mercury chalcogenides has been calculated by means of the ab-initio GW approximation using norm-conserving pseudopotentials, plane-waves or mixed-basis expansions, and including the spin-orbit interaction. Both real and imaginary parts of self-energy have been obtained, thus giving insight into the dynamics of quasiparticles: besides the correlated band structure, we present the excitation-energy dependence of the lifetime and the inelastic-mean-free path of hot electrons and holes. The GW energy bands compare very well with ARPES data for all materials studied except the mercury compounds, where there are still significant differences. In addition to the one-particle energy spectrum we present EELS. ellipsometry and soft-x-ray resonant inelastic scattering spectra.

[L36.045] The efficiency of the generalized simulated annealing

Y. Xiang, X. G. Gong (Institute of Solid State Physics, Chinese Academy of Sciences, Hefei-230031, China)

We have explored the efficiency of the generalized simulated annealing (GSA) [1] through a comparable study with the classical simulated annealing (CSA) [2] and the fast simulated annealing (FSA) [3]. Our calculations on the Thomson model and nickel clusters show that the relative efficiency of GSA to CSA and FSA increases exponentially with the number of variables of the objective function. We have also observed a larger exponential factor in optimizing the structures of Ni clusters than that in the Thomson model. Thus, relative to CSA and FSA, the more complex the system is, the more efficient the GSA method is. The possible reason for GSA with high probability in finding the global minimum is also addressed through searching a two-dimensional phase space in a low temperature.

[1] C. Tsallis and D. A. Stariolo, Physica A 233, 395(1996).

[2] S. Kirkpatrick, C. D. Gelatt, Jr., and M. P. Vecchi, Science 220, 671(1983).

[3] H. Szu. and R. Hartley, Phys. Lett. A 122, 157(1987).

[L36.046] Further Consequences of the Canonical sequence Method in Quantum Many-Body Systems

Vassilios Fessatidis, Jay D. Mancini (Fordham University), Robert K. Murawski (Stevens Institute of Technology), Samuel P. Bowen (Chicago State University)

A number of years ago, Horn and Weinstein (Phys. Rev. D30, 1256(1984)) introduced a novel nonperturbative method for calculating ground-state expectation values for Hamiltonian systems. Although close in spirit to standard variational schemes this ``t-expansion" introduces a fictional parameter t to the trial state \exp(-\hatHt/2) |\Phi\rangle wherein the limit t\rightarrow \infty yields convergence to the ground-state energy E_0 for the expansion \[ \lim _t\rightarrow \infty \frac\left\langle \Phi \right| \hatH \exp \left( -\hatHt\right) \left| \Phi \right\rangle \left\langle \Phi \right| \exp \left( -\hatHt\right) \left| \Phi \right\rangle =E_0. \] Recently Samaj et al.\ (J. Phys. A30, 1471(1997)) have generalized the t-expansion technique and the related Connected Moments Expansion to a more general canonical sequence. They then apply this canonical series to the quantum Ising model. In the present work we have expounded upon the work of Samaj et al.\ and have applied this to a number of different many-particle Hamiltonian systems.

[L36.047] Variational Approach for Approximating the Ground-state Energy of the Rabi Hamiltonian

Samuel P. Bowen (Chicago State University), Vassilios Fessatidis, Jay D. Mancini (Fordham University), Robert K. Murawski (Stevens Institute of Technology)

In this work a recently developed variational technique (Phys. Rev. A51, 3337 (1995)) is applied in the estimation of the ground-state energy of the Rabi Hamiltonian \hatH=\frac12 ømega_0 \sigma_z+ømega b^b+ g\left(\sigma^+ b^\dagger+\sigma^+ b+ \sigma^- b^\dagger+\sigma^- b \right). For a trial wavefunction we use a single parameter coherent state of the form \left| \Psi _0\right\rangle =N_0\,e^\alpha b^\dagger \left| 0\right\rangle \left( \left| \downarrow \right\rangle - \left| \uparrow \right\rangle \right) and a finite non-orthogonal basis is generated. This is a generalization of the Linear Variational Method used by quantum chemists. Our results are compared to those of Bishop et al.\ (Phys. Lett. A254, 215 (1999)), where a large scale diagonalization of the hamiltonian was performed.

[L36.048] A Parallel AMR version of the PPM Hydrodynamics Code

Dennis Dinge (The Laboratory for Computational Science and Engineering at The University of Minnesota and Hamline University), Paul Woodward (The Laboratory for Computational Science and Engineering at The University of Minnesota)

The Piecewise Parabolic Method (PPM) hydrodynamics code and other codes based on the PPM technique have been used extensively for the simulation of astrophysical phenomena. A new version of the PPM code under development at the the University of Minnesota's Laboratory for Computational Science and Engineering (LCSE) will be described. This new code incorporates a version of dynamic local adaptive mesh refinement (AMR) targeted specifically at improving the treatment of flow around shocks and contact discontinuities. Because the AMR is targeted at surfaces within a flow that can develop complex shapes, a cell-by-cell approach to the grid refinement is adopted in order to minimize the number of fine grid cells, with the hope of controlling the computational cost. Information is saved from the coarse grid solution in order to reduce the difference stencil for refined grids, also with the goal of reducing cost. The data structures and parallization method are being carefully designed to permit efficient implementation of the algorithm on clusters of shared memory machines, with automatic dynamic balancing of computational loads over the cluster members. Sample results in 2-D will be presented.

[L36.049] Dimensional Crossover of the XC Density Functional

P. Garcia-González (University of York)

In the Density Functional Formalism, the ground state energy of any electron system is given by an unique universal functional of the density. As a consequence, the same functional must be able to describe systems confined in any number of spatial dimensions. Concretely, the expression of the functional for a 2D system should result from the 3D one applied to a system where the density profile is a delta function along one of the coordinates. In this work, we present a study on the ability of several models for the exchange-correlation (XC) energy to verify this property. We obtain the behavior of various well known approximations in the strict 2D limit. We show that the LDA and GGA approximations diverge. However, the weighted density approximation (WDA) gives an accurate XC energy for the 2D electron gas as well as a good description of its pair correlation function. The above theoretical study is illustrated by applying these models to more realistic quasi-2D electron systems.

[L36.050] First principles study of the Raman spectra of SiS_2 and SiSe_2

Shau Grossman, Koblar Jackson (Physics Dept., Central Michigan University, Mt. Pleasant, MI 48859)

Raman spectroscopy has long been used as a probe of the atomic structure of chalcogenide glasses. Sharp features in the spectra indicate the presence of characteristic structural units, but the Raman measurements alone cannot directly determine the atomic arrangements in these units. In this presentation we discuss calculations based on the density functional theory (DFT) that are aimed at interpreting the spectral peaks in atomistic terms. The calculations yield both the frequencies and Raman spectral intensities for the vibrational modes of cluster models of the materials. We create simulated spectra by combining results of several cluster calculations. Here we focus on SiS_2 and SiSe_2. The simulated spectra for these materials are in good agreement with experiment. We contast the results for these glasses with previous calculations for the Ge-analogues, GeS_2 and GeSe_2 and discuss the structural implications of the differences. Work supported by Research Corporation and NSF DMR-9972333

[L36.051] The Fractal Structure of Basic Particles

Shuming Li (University of Science & Techmology Hebei), Lihua Li (University of Minnesota), Shuyun Li (Shijiazhuang Vocational Technology College), Shuwei Li (Hebei BoAi Hospital)

A single photon with very high energy can form a tiny black hole bound by its gravitational force, whose state is referred as Space-Time Quantum of Action (STQA). The Schwarzschild radius, energy and duration of STQA can be calculated. It is very intriguing to find out that the product of space interval, energy and time interval of STQA is a constant (STQAC). In addition, STQAC is proven to be the minimum of all particles, which means that the product of space interval, energy and time interval for other particles is integer times as much as STQAC. Thus it is reasonable to hypothesize that the STQA is the basic unit of all kinds of particles. We deduced that STQAs construct all the particles in various fractal dimensions. The dimension of the universe is calculated to be three. Since the product of energy and time interval of the basic unit STQA is the Plank constant, the real quantum of action can be found, which leads to a new explanation to the in-determinant principle of Quantum theory. We can foresee many practical applications of this finding. One example is the novel design of fractal antennas that might lead to revolution in wireless communications.

[L36.052] Infrared Photoablation Studies of Arsenic Selenide with the Vanderbilt FEL

Janet Adair, Zsuzsanna Marka, Mike Albert, Shailesh Singh, Norman Tolk (Vanderbilt University, Nashville TN)

In recent years arsenic selenide has shown a high potential for application as an infrared fiber material. It transmits in most of the 2-10 micron region, which is available at the Vanderbilt Free Electron Laser (FEL). The ablation threshold was measured for the bulk material at several different wavelengths corresponding to impurity absorption, such as Se-H and C-H vibrational modes. Using a time of flight spectrometer to detect the ablated particles, individual As/Se ions as well as bigger clusters of ~6 As/Se atoms were observed. The Vanderbilt FEL delivers 3-5 microsecond long macropulses which consist of 1 ps long micropulses separated by 350 ps. Previous threshold measurements were made with the entire length of the macropulse hitting the sample. In the future a Pockel cell will be used to reduce the length of the macropulse to investigate the pulse length dependence of the ablation process. (Work funded by ONR)

[L36.053] Length Scale of Spatially Heterogeneous Dynamics in Supercooled Glycerol

XH Qiu, M.D. Ediger (University of Wisconsin-Madison), S.A. Reinsberg (Max-Planck-Institut fuer Polymerforschung)

Studies on a number of fragile glass formers has shown that the non-exponential \alpha-relaxation at temperatures close to T_g can be attributed to the existence of spatially heterogeneous dynamics. We have applied a recently developed multidimensional solid-state NMR method to measure the length scale of dynamic heterogeneities for the first time to a low molecular weight glass former. The length scale in glycerol was determined to be about 0.6 nm, much shorter than the length scale of 2-3 nm found in poly(vinyl acetate). This difference may be related to the fact that glycerol is a stronger glass former than poly(vinyl acetate). Since the heterogeneity length is an upper bound for the length scale associated with cooperative motion, our result is an interesting test for current theories of the glass transition.

[L36.054] Fluid Viscosity Analogs in Granular Materials

Amaria George, Osiel Bonfim (Reed College)

Viscosity is a major factor contributing to the dynamical behavior of a fluid system. Fluid viscosity is responsible for the resistive force experienced by objects moving through a fluid, and is directly proportional to the drag force on an object. Since granular materials exhibit many fluid-like properties, it is natural to assume the existence of a granular viscosity analog. We measure the granular drag force on cylindrical and spherical objects, and we compare it to the cross-sectional area and the insertion depth of the objects in granular materials to determine the mathematical dependence of the drag force on these parameters. From this relation, we determine a granular form of Stokes' Law.

[L36.055] BEAD PILE SYSTEM AS A MODEL FOR SELF-ORGANIZED CRITICALITY

Hanna L. Wagner, Donald T. Jacobs (The College of Wooster, Wooster OH 44691)

In 1987, Bak, Tang, and Wiesenfeld introduced a new paradigm in the physics of large, complex, dynamical systems called Self-Organized Criticality. One system that has previously been used as a model for SOC is a sandpile. We experimentally investigated smooth glass beads forming a conical pile, where adding one bead at a time causes many small, and a few large, avalanches. The size distribution of avalanches was consistent with the predictions of Self-Organized Criticality. In particular, the number of avalanches of a given size was proportional to the size of the avalanche to the power (-1.47±0.09), which is close to the mean-field prediction of –1.40±0.03. This result was independent of the size or shape of the base of the pile. We were also able to determine the power spectral density, which exhibited a power-law with slope -1.80±0.09 that was also independent of base size and shape. This research was supported by NSF-REU grant DMR 9619406.

[L36.056] Exploring Subsurface Detail of Axial Segregation in Binary Mixtures of Glass Beads in a Horizontal Drum Mixer by Mechanical Means

Kevin A. Parendo (University of Minnesota -- Morris), Joel M. Hanson, James A. Flaten

We have studied axial segregation of mixtures of 2.0 mm and 0.90 mm soda-lime glass beads in a 5"-diameter, 22.5"-long horizontal drum mixer. ``Reversible" axial segregation is apparent on the surface down to concentrations of about 20/much of the segregation action occurs beneath the avalanching surface and cannot be inferred from surface observations. We have used a variety of mechanical techniques to characterize the subsurface segregation. Although mechanical probing is somewhat invasive, a combination of "freezing" bead packs in gelatin, sieving bead packs axially, and cutting into dry bead packs to examine subsurface structure has allowed us to document the time evolution of reversible axial segregation in a 50%-small, 50%-large bead mixture.

[L36.057] Droplet Vorticity Alignment in Model Polymer Blends

Kalman Migler (NIST, Polymers Division)

The shear induced deformation of polymeric droplets in an immiscible polymeric matrix is studied using a transparent rotating plate-plate device. We consider the case where the viscosity ratio of the two phases is near unity, but the elasticity ratio of the droplet to the matrix is of order 10^2. This is achieved by using a matrix of PDMS and a droplet of a PIB based Boger fluid. In the limit of weak shear and small droplets, the droplet alignment is along the shear direction, whereas for strong shear and large droplets, the alignment is along the vorticity direction. There is a range of conditions for which alignment can be along either axis. For droplets aligned along the vorticity axis, the distribution of aspect ratios is broad. The transformation from flow alignment to vorticity alignment upon commencement of shear flow has been observed and correlates with the time scale for development of normal forces in the Boger fluid.

[L36.058] Multilayer Coextrusion Reveals Slip at Polymer-polymer Interfaces

Rui Zhao, Christopher W Macosko (Department of Chemical Engineering and Materials Science,University of Minnesota)

De Gennes (1992) suggested that loss of entanglement in the interfacial region between two incompatible polymers causes slip at interfaces. Goveas and Fredrickson (1998) developed a quantitative model for the lowering of interfacial viscosity. However, to date there appears to be no quantitative experimental evidence for interfacial slip. We coextruded polypropylene and polystyrene with closely matched viscosities into multilayers with 2,32 and 128 layers. Pressure drop of the coextruded multilayer melts through a slit die was measured. The data showed a 40reduction when the number of layers increased from 2 to 128, which indicates interfacial slip. The steady shear viscosity of the multilayer sample was also measured in parallel plates. When the shear stress was higher than a critical value, the viscosity of the multilayers was lower than either of the components. The interfacial viscosity was estimated, and 40 times reduction was observed. Diblock copolymer which spanned the interfaces was shown to able to suppress interfacial slip.

[L36.059] Electrospinning from a Polymer Melt in a Vacuum

Ratthapol Rangkupan, Darrell H. Reneker (Maurice Morton Institute of Polymer Science, The University of Akron, Ohio 44325-3909)

Electrospinning from polymer melts in a vacuum was studied. Fibers of polypropylene, high-density polyethylene and poly(ethylene terephthalate) were successfully electrospun. The molten polymer was held in a glass tube. A metal wire immersed in the molten polymer supplied charge, which migrated through the melt to the surface exposed at the end of the glass tube. The electrical forces overcame both surface tension and the viscous forces within the polymer melt, and ejected charged jets of molten polymer. The jets were attracted to an aluminum sheet maintained at an attractive electrical potential, where they solidified. The motion of the larger jets could be followed by eye. The diameters of the solidified jets ranged from 3 to 60 microns in these preliminary experiments. The vacuum process is being investigated because the magnitude of electric fields produced in a vacuum are not limited by the low dielectric breakdown strength of air.

[L36.060] JET-SPLITTING INSTABILITY IN ELECTROSPINNING OF POLY(2-HYDROXYETHYL METHACRYLATE)

Sureeporn Koombhongse, Darrell H. Reneker (Maurice Morton Institute of Polymer Science, The University of Akron, Akron, Ohio 44325)

The electrically charged surface of a polymer fluid becomes unstable when the electrical forces overcome forces of surface tension. A charged jet is then ejected from the surface. The electrical charge carried with the ejected jet can excite instabilities of the jet, which affect its path. A bending instability [1] is frequently observed. In some solutions of poly(2-hydroxyethyl methacrylate) (HEMA), high speed videographic images show that a splitting instability also occurs for the more concentrated solutions. In the splitting instability, a smaller, straight jet is ejected from the primary jet. The splitting instability may be observed before or while the bending instability is growing. In a 20instabilities are dominant. The bending instability became observable when the concentration was reduced to 16more dominant when the concentration was further reduced to 16 1. D. H. Reneker, A. L. Yarin, H. Fong, S. Koombhongse, J. App. Phys, to be published.

[L36.061] COLLECTION OF ELECTROSPUN POLYMER NANOFIBERS

Woraphon Kataphinan, Darrell H. Reneker (Maurice Morton Institute of Polymer Science, The University of Akron, Akron, Ohio 44325-3909)

The dry nanofibers produced in a typical electrospinning process are electrically charged. The nanofibers were directed by an electrical field, a tensile force along the axis of the fiber, and by the viscous drag force of moving air. The looping and spiraling path of the nanofibers, which resulted from bending and other kinds of instabilities that occurred as the fiber was formed, also complicated the collection process. Non-woven sheets of nanofibers were made by attracting the nanofibers to a conducting sheet or screen. The sheet or screen was flat and stationary, or wrapped around a rotating drum. Nanofibers were also collected in a liquid. The liquid removed charge or solvent. Nanofibers were collected on the surface of a non-wetting liquid, so that the patterns formed by the arriving nanofibers were observed directly. Streams of air, and air vortices were also used. These methods are being combined with robotic manipulators to collect nanofibers in many useful forms.

[L36.062] In situ x-ray scattering study of a main-chain thermotropic liquid crystalline polymer under oscillatory shear flow

Nitin Vaish, Wesley R. Burghardt (Northwestern University), Weijun Zhou, Julia A. Kornfield (California Institute of Technology)

Liquid crystalline polymers (LCPs) have been the subject of extensive studies because of potential commercial applications and scientific challenges. The excellent mechanical properties of LCPs arise from highly anisotropic molecular structure, which develops as a complex interplay between molecular dynamics and the applied flow field. We study the behavior of model thermotropic main-chain LCP (DHMS-7,9) under oscillatory shear flow using in situ X-ray scattering techniques. Experiments were done in nematic (140^o C) and x-phase (110^o C) to study the effects of frequency (0.5 - 50 rps) and strain amplitude (50 – 200In nematic phase, strong alignment in the flow direction (‘parallel’) was observed. The steady state was reached quickly either at high strain amplitudes or high frequencies. In x-phase, molecules aligned in flow direction at high strain levels or oscillation frequency, while alignment in vorticity (‘perpendicular’) direction was observed at low strain amplitude or frequency. In addition, we present the flipping of orientation from parallel to perpendicular alignment as a result of step change in temperature from 140^o C to 110^o C and oscillatory motion from a pre-aligned parallel state in x-phase.

[L36.063] Nucleation in Microcellular Thermoplastic Foams

Pieter Spitael, Christopher W. Macosko (Department of Chemical Engineering and Materials Science, University of Minnesota)

Amorphous, thermoplastic polymers are foamed using inert gases such as carbon dioxide or nitrogen to create a microcellular foam. The small cell size, smaller than critical flaws already present in most polymers, allows the microcellular foam to retain some critical mechanical properties present in the bulk material. Microcellular foams with a cell density greater than 10^8 cells/cm^3 and an average cell size of order 10 microns or less, have been succesfully produced in amorphous polymers such as polystyrene, poly(methyl methacrylate) and polycarbonate. Current processing methods make it difficult to achieve a high cell nucleation density. In an effort to control the cell nucleation density, heterogeneous nucleation sites, both solid particle sites and in the form of block copolymer micelles, have been added to polystyrene samples. Batch experiments using carbon dioxide gas reveal anomalous trends in nucleation behavior that can not be explained by the classical nucleation theory, prompting further inquiry into its validity.

[L36.064] Electrospun high performance nanofibers

Wenxia Liu, Zongquan Wu, Darrell H. Reneker (Maurice Morton Institute of Polymer Science, The University of Akron, Akron, Ohio 44325-3909)

Poly(meta-phenylene isophthalamide) was electrospun from solution to form nanofibers. The resulting nanofibers were birefringent and ranged in diameter from 30 to 300 nanometers. High-speed videographic observations showed that the jet developed the bending, looping and spiraling path characteristic of electrospinning. The thermal properties and the structure of the as-spun and annealed nanofibers were characterized by thermogravimetric analysis, X-ray diffraction and transmission electron microscopy. Both electron and X-ray diffraction patterns of the as-spun fibers showed diffuse equatorial diffraction spots, indicating that the molecules were oriented along the axis of the nanofiber. After annealing, the diffraction spots became much sharper, and other spots appeared, indicating that the as-spun fibers were in a metastable state. Nanofibers of this material were stable up to 200°C.

[L36.065] Flipping from the Perpendicular to Parallel Orientation in Block Copolymers: An Electron Microscopy Study

Lei Qiao, Karen Winey (Department of Materials Science and Engineering, University of Pennsylvania)

Previous studies in lamellar diblock copolymers have determined the processing conditions necessary to create the parallel and perpendicular orientations. In addition, studies have shown a flipping behavior between the perpendicular and parallel orientations. The purpose of this study is to investigate the mechanisms by which the flipping occurs. A low molecular weight styrene-isoprene diblock copolymer was first aligned in the perpendicular orientation through extensive large amplitude oscillatory shear. Flipping from the perpendicular to parallel orientation was then conducted and interrupted at intermediate stages. The evolution of the parallel orientation and the morphological development at these stages were characterized by the electron microscopy. Simultaneous shearing and small angle x-ray scattering were also performed to elucidate the flipping mechanism.

[L36.066] Processing Effects on Block-Copolymer–Based Pressure-Sensitive Adhesives

A. E. O'Connor, C. W. Macosko (University of Minnesota)

The goal of this work is to investigate how the variables in the hot-melt coating process affect the microstructure and properties of pressure-sensitive adhesives based on a styrene–isoprene–styrene triblock copolymer. This polymer is a thermoplastic elastomer, able to be coated at high temperatures and physically crosslinked at lower temperatures. Adhesive tape samples have been made through hot-melt and solvent coating methods. Hot-melt coatings are prepared at speeds up to 110 feet/minute. Materials with the same thermal history have been coated using both methods and then tested for comparison of properties. PSA properties are strongly dependent on the time scale of application and debonding, as revealed by shear rheology data, and three types of performance tests (tack, peel, and shear holding power) are used to capture the various responses. Solvent-coated tape has superior shear strength, while hot-melt-coated tape performs better in peel tests. It is expected that the varying flow and deformation histories of the samples will lead to distinct chain orientations, while the rate of cooling of hot-melt-coated samples may influence the degree of phase separation achieved. These factors will cause the adhesive coatings to have different microstructures and therefore different properties.

[L36.067] Achieving microkelvin control at room temperature

Amy L. Lytle, D.T. Jacobs (The College of Wooster, Wooster OH 44691)

An experiment is in progress to investigate the turbidity of a liquid-liquid mixture very close to its critical temperature. Temperature is controlled precisely through an onion-layer design, with successive stages of control and measurement. This process is automated using a program in LabVIEW, an icon-based programming language. Control of the temperature has been achieved to within a few microkelvin of the critical temperature, which is near room temperature. The techniques and methodology that allow such precise temperature control and measurement will be presented along with the results showing 10ppb control.

Acknowledgment is made to NSF-REU grant DMR 9619406 and to NASA grant NAG8-1433 for support of this research.

[L36.068] Roughening and De-roughening of the Interface Width in an Electrophoretic Deposition of Polymer Chains

Frank Bentrem, Ras B. Pandey (University of Southern Mississippi)

A discrete lattice of size L_x \times L_y \times L_z is considered with a large aspect ratio L_x/L_y(L_z). Polymer chains, each of length L_c are released from one end (x=0) of the sample in presence of a field (E) along x-direction. In addition to excluded volume, a nearest neighbor repulsive interaction is considered among the polymer nodes. Metropolis algorithm is used to move chain nodes: kink-jump dynamics is primarily used in this study, however, attempts are made to explore the effects of other dynamics such as crank-shaft and reptation. As the polymer density grows at/near the wall (x=L_x), an interface develops. Density and coformational profiles of the polymer chains and the interface width are monitored as function of Monte Carlo steps (MCS). Growth of the interface width (W) of the polymer density with time, i.e., W \sim t^ \beta, is analyzed in detail and the saturated width W_s = W, t \to \infty is evaluated as a function of temperature, field strength, and chain length. Using the scaling of the saturated width (W_s) with the transverse dimension, i.e., W_s \sim L_y(z)^\alpha, the roughness exponent \alpha is esimated. Variations of the interface width and the roughness exponent with the smulation parameters (E, T, L_c) exhibit interesting roghening and de-roughening phenomena, some of these results will be presented.

[L36.069] Pattern Coarsening of Spherical Copolymer Microdomains

Christopher Harrison, Zhengdong Cheng, Paul M. Chaikin, David A. Huse (Department of Physics), Richard A. Register (Department of Chemical Engineering), Douglas H. Adamson (Princeton Materials Institute, Princeton University)

We have investigated two dimensional pattern coarsening dynamics with a block copolymer which microphase separates into spheres. The system consisted of a single layer of polystyrene spheres in a polyethylene-alt-polypropylene matrix (PS-PEP) on a substrate and was studied by hot stage atomic force microscopy (AFM). By performing Delaunay triangulation, we quantitatively demonstrate a high density of free dislocations and a relatively low density of free disclinations. By obtaining sequential AFM images as a function of annealing time, we have tracked the grain growth and defect motion. During annealing, the correlation length saturates at temperature dependent values, resulting in pinned grain boundaries consisting of a high density of dislocations and disclinations. Increasing the annealing temperature decreases barriers to motion, depinning defects from grain boundaries and resulting in a better ordered pattern with fewer grain boundaries.

[L36.070] Simulation of a Liquid Crystal at an Amorphous Polymer Surface

T. P. Doerr, P. L. Taylor (Case Western Reserve University)

Atomistic molecular dynamics simulations of the anchoring of a liquid crystal at the surface of an amorphous polymer have been performed. The particular materials modeled were 5CB in the nematic phase at the surface of amorphous polyethylene. The inverted pendulum model of B. Lin and P. L. Taylor (Physics Letters A 172) (1993) 281-284 indicates that the dynamics of the substrate, in this case amorphous polyethylene, can stabilize non-planar orientations of the liquid crystal molecules. Simulations were performed to test this hypothesis. In order to isolate the effects of the motion of the polymer substrate on the liquid crystal, two sets of simulations were performed: in one set the atoms comprising the polyethylene were allowed to move and in the other set the polyethylene atoms were fixed. Also, simulations were performed starting from both planar and homeotropic initial conditions.

[L36.071] Structural Properties of a Two-Dimensional Coulomb System

Girija S. Dubey, Godfrey Gumbs (Hunter College/CUNY)

There is very keen interest from a thoretical as well as an experimental point of view to determine the initial conditions which one can use to predict the formation of a Wigner crystal in experiments. The density at which solids can be formed from individual particles is limited by the range of their interaction potential. Short-range forces can only bind particles at high density, whereas long-range forces, e.g. the Coulomb interaction, are capable of forming solids even at very low densities. Wigner predicted the existence of such a low-density Coulomb solid for electron systems, the so-called Wigner crystal. Recently, the experimental realization of a Wigner crystal was found in an electron system with charged calloidal particles in an aqueous solution, and charged dust particles in plasmas. Using numerical simulation, we demonstrate that there are several densities at which a Wigner crystal exists for the two dimensional electron gas.

[L36.072] Propagation of Heterogeneous Substrate Induced Ordering in Thick Block Copolymer Films

Lee D. Rockford, Thomas P. Russell (Umass Amherst, Dept. Polymer Science and Engineering), M. Yoon, S. G. J. Mochrie (Massachusetts Institute of Technology, Dept. Physics)

Commensurability of chemical and physical length scales between substrate heterogeneity and copolymer morphology has been shown to induce control over block copolymer ordering in thin films. In thicker films, free surface effects compete with substrate incuded ordering and prevent the oriented morphology from propagating throughout the entire film thickness. Herein we examine the crossover region between substrate control and free surface effects. Varying both film thickness and solvent casting under different conditions, as well as spin casting and annealing, we probe the effects of competing free surface and substrate control.

[L36.073] Modeling the Molecular Packing of Copper Phthalocyanine / Poly (1-lysine) Multilayer Thin Films

Angela L. Campbell (Air Force Research Laboratory, Materials & Manufacturing Directorate, AFRL/MLPJ, Wright-Patt AFB, OH 45433), D.R. Wiff (AFRL/MLPO)

A broadening research effort on how cation species affects association, structure, and packing of Copper Phthalocyanines (CuPcTs) in Electrostatic Self-Assembly (ESA) thin films is underway. Here we present molecular dynamics simulations using Cerius2 software to examine the CuPcT / Poly(1-lysine) molecular level deposition process. The shape of the CuPcT molecule and the chain conformations of the poly(1-lysine) molecule are examined. An amorphous glass slide is simulated and on this molecular layers of CuPcT and poly(1-lysine) are sequentially deposited. At each level the depositing molecule atoms are allowed full motion while the previously minimized layers atoms are fixed. A grand canonical ensemble minimization at 800K is followed by a minimization at 300K and finally one at 0K. After a deposited monolayer global conformation is minimized, the atoms in the top two layers are allowed to vary to obtain a local minimum at 0K. We find this modeling scheme to be very effective and final molecular spacings agree well with ellipsometry data.

[L36.074] Spinodal dewetting in polymer/polymer systems

A. M. Higgins, R. A. L. Jones (Department of Physics and Astronomy, University of Sheffield, Sheffield S3 7RH, UK), M. Sferrazza (ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, UK), P. Jukes, J. Sharp, L. Dryden (Department of Physics and Astronomy, University of Sheffield, Sheffield S3 7RH, UK), J. Webster (ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, UK)

In the spinodal dewetting process, a thin liquid film breaks up due to the unstable growth of capillary waves driven by dispersion forces across the film. We have investigated the dewetting of a polymer melt substrate by a polymer thin film. The dewetting of polystyrene (PS) by a thin poly(methyl methacrylate) (PMMA) film has been studied using optical microscopy, atomic force microscopy and neutron reflectivity. The characteristic length of the dewetted morphology has been investigated by changing the thickness of the bottom (PS) layer, which changes the effective Hamaker constant of the system. Changing the substrate from which the PMMA film was floated can control the degree of order in the dewetted morphology. The early stage kinetics of dewetting are followed by measuring the growth of the interface and surface roughness with neutron reflection. The kinetics are studied as a function of the molecular weight of the polymers and of temperature.

[L36.075] Novel method of tailoring the surface properties of elastic materials

Kirill Efimenko, Jan Genzer (NC State University, Raleigh, NC)

We present a novel method for controling the wetting properties of materials. Our technique is based on the grafting reaction between w(CH_2)_xSiCl_3 molecules and the surface -OH functionalities. A thin film made of a poly(dimethyl siloxane) (PDMS) network is first stretched and then physically modified to produce surfaces containing grafted -OH groups, which are used as attachment points for the chlorosilane molecules. The grafting density of the organic modifiers can be adjusted by controlling the strain on the PDMS substrate, \Deltax. We test the feasibility of the proposed grafting technique by attaching semifluorinated (SF) self-assembled monolayers (SAMs), F(CF_2)_y(CH_2)_xSiCl_3 (FyHx), to PDMS substrates. After the SAM deposition, the stress from the substrate is released and, as a result, the grafted FyHx chains form well-organized SAMs with an exceptional order of packing and alignment. The water contact angles (\theta) are found to increase with increasing the strain on the pristine PDMS substrate and reach values larger than \theta=130^o for \Deltax=50resistance of the SF-SAMs against water exposure is investigated. Experiments using scanning force microscopy on samples exposed to water reveal significant variations in the surface topography with the immersion time. However, near-edge X-ray absorption structure and water contact angle measurements indicate that regardless of the immersion time, the SF chains stay oriented and maintain their great wetting properties.

[L36.076] Mobility of polymer chains at the polymer/air interface

Tobias Kerle, Zhiqun Lin, Ho-Cheol Kim, Thomas P. Russell (University of Massachusetts, Amherst MA01003)

Relaxation of polymers from non-equilibrium conditions will in general only occur if the polymeric system is above the bulk glas temperature. The mobility of the chains near the solid surface can be, depending on the interaction with the surface, either enhanced or depressed. To examine the influence of a free surface on the mobility of polymer chains rough surfaces of thick polystyrene films (> 5 \mum) were prepared. Each peak or surface asperity of the PS film presents a non-equilibrium system with a large interfacial surface area. Depending on the mobility of chains the peaks will decay in order to minimize the overall surface area. Relaxation of the surface asperities at temperatures well below the bulk glas temperature is observed. One typically observes a fast decay of structures with a high aspect ratio and small lateral extension, leaving the surface with peaks of rather well defined aspect ratio and a lateral extension above a critical value. A second far slower process is observed with virtually no change of the aspect ratio.

[L36.077] Microstructure of a new Poly[(A-r-B)_x-b-B_y] (y>x) gradient copolymer

Zhiqun Lin, Thomas P. Russell (University of Massachusetts, Amherst, MA., 01003), Elbert E. Huang, Didier Benoit, Craig Hawker (IBM Almaden Research Center, San Jose, CA., 95120)

The morphology and structure of gradient copolymers of poly[(styrene-r-maleic anhydride)-b-polystyrene] were investigated. Reflection optical microscopy images showed continuous color changes at the edge of the spin-coated thin films indicating that a layering of the morphology parallel to the substrate interface did not occur. Microphase separation was observed by atomic force microscopy measurements on reactive ion etched samples, which showed cylindrical microdomains oriented normal to the surface. The cylinder-cylinder separation distance was about 16nm, consistent with bulk values determined by x-ray scattering. No interference maxima were seen in neutron reflectivity experiments over a temperature range from 130^oC to 190^oC, suggesting a vertical orientation of the cylinders. The surface tension of the gradient copolymer was slightly higher than that of PS. The combined control over the orientation of the microdomains with the ability to convert the anhydride to the corresponding acid makes the materials interesting candidates for functional nanascopic arrays.

[L36.078] Rheology of Confined Telechelic Chain under Shear

June Huh, Anna C. Balazs (Chemical and Petroleum Engineering, University of Pittsburgh)

We study rheologiacl behavior of di-end-functionalized polymer confined between two flat walls by using Monte Carlo simulation. In order to investigate the effect of the associating structure induced by functional groups on the rheological properties, we simulate three kind of telechelic chains with different number of associating capacity, f=1, 2 and 3 and compared the shear responses of these polymers. When the associating capacity of a functional group is larger than 1, physically crosslinked network of associating structure effectively blocks the extreme chain stretching against shear deformation, resulting in decrease of limiting shear stress.

[L36.079] Thickness dependence of the glass transition temperature in thin polymer films

Wang-Cheol Zin (Dept.of Material Science and Engineering, Pohang University of Science and Technology), Jae Hyun Kim, Jyongsik Jang (School of Chemical Engineering, Seoul National University)

The glass transition temperature of thin polymer film is studied in this work. We have used ellipsometry to measure the glass transition temperature(Tg) of poly(alpha-methyl styrene)[PAMS] thin films as functions of film thickness and molecular weight. When the films are thinner than a few hundreds of angstroms, substantial reduction in Tg is apparent and Tg of the film approaches the asymptotic value with increasing film thickness. Tg depression pattern of PAMS does not differ with molecular weights. To fit our experimentally obtained thickness dependent Tg data, the Michaelis-Menten equation, which is widely known model in enzyme kinetics, is analogized. The observed Tg depression data in thin film has the good agreement with our analogized equation and two adjustable parameters are obtained from fitting. The large surface to volume ratio in thin film geometry is the main reason for the Tg reduction in thin film.

[L36.080] Investigation of p-quaterphenyl layers vapor deposited on KCl (001) by Atomic Force Microscopy (AFM)

Jr. Kintzel, D.H. Van Winkle, J.G. Skofronick, S.A. Safron (Florida State University), F. Flaherty (Valdosta State University), D.-M. Smilgies (European Synchrotron Radiation Facility, France), Valdosta State University Collaboration, European Synchrotron Radiation Facility Collaboration

We have investigated the structural properties of the aromatic molecule p-quaterphenyl (p-4P) vapor deposited onto a KCl (001) surface at a pressure of 10^-6 mbars. In a series of AFM studies, thicknesses of p-quaterphenyl varying from 1 to 20 monolayers exhibited unusual features not previously imaged. Included in our observations are: i) needle-like accumulations of the p-quaterphenyl around surface defects, ii) a striped-phase region with a lateral spacing of approximately 25 nm for a nominal monolayer of p-4P, and iii) a thickness range where we found indications for a transition from lying to standing orientation of the molecules.

[L36.081] Interfaces of two immicible polymer thin films studied by X-ray Scattering

K. Shin, Y. Seo, M. Rafailovich, J. Sokolov (State University of New York at Stony Brook), H.O. Seeck, S.K. Sinha (Argonne National Laboratory), R. Jones, S. Kumar (Penn State University), R. Kolb (Exxon Research and Engineering Company)

We investigated the interface of PS/PMMA and PS/ PVP as a function of film thickness by X-ray scattering, SIMS and AFM techniques. Although the neutron scattering of two immiscible polymer/polymer interfaces has been investigated by Sferrazza et.al( PRL, 78, 1997), the disadvantages of small qz range(~0.15A^-1) and lower resolution of neutron reflectivity brought difficulties to detect within reasonable error range. By the way X-ray reflectivity can overcome these limitation of neutron reflectivity because of its much larger qz ranges and high resolution, but the small contrast, which is that most of polymers have very similar refractive index of X-ray, was only problem. Recently, we found that X-ray reflectivity can be analyzed using Fourier method (Seeck et al, APL, in preparation) to detect the ultra-small density contrasts in thin film layer system. Therefore with great advantages of X-ray scattering compared to neutron scattering, this method can be applied specially to polymer-polymer interfaces without any further contrast alteration. The results are showing that interfacial energy as well as film thickness are the most important factors to modify the intrinsic interfacial width and additional interfacial broadening by capillary wave. The results were well matched to the theoretical calculation within very small error ranges. Experiments are currently in progress for bilayer systems with diblock copolymer. The existence of diblock copolymer can reduce tremendously the interfacial tension of immcible polymer/polymer interface and bring the interfacial length broadening.

[L36.082] Surface Segregation of Fluorine in Thin Films of Poly (Methyl Methacrylate-co-Tetrahydroperfluorooctylacrylate) (PMMA/TAN) Random Copolymers.

Nora Beck Tan, Wendy Kosik, Joseph Deitzel, Steve McKnight (US Army Research Laboratory, Materials Division AMSRL-WM-MA, APG, MD 21005.), Stephanie Crette, Joseph DeSimone (Department of Chemistry University of North Carolina at Chapel Hill Chapel Hill, NC 27599-3290)

Design and control of polymer surface functionality is desirable for numerous applications. It is widely known that hydrophobic polymer surfaces can be produced on block-copolymers due to surface segregation of hydrophobic blocks. Less research has been performed on random copolymer compositions. In this work, we investigate the surface segregation of a series of random copolymers composed of methyl methacrylate (MMA) and tetrahyrdroperflourooctyl acrylate (TAN). Thin films (150-200 nm) were solution spun-cast onto silicon substrates. As deposited and samples annealed above the copolymer glass transition temperature were studied to assess the degree of surface reorganization that might occur. Surface analysis using water contact angle measurements and angle resolved XPS indicate that the concentration of fluoro groups increases near the surface of the film in all compositions. The degree of surface segregation was dependent on the PTAN to PMMA ratio of each copolymer. The segregation was enhanced after annealing the films at elevated temperatures.

[L36.083] Surface Segregation and Bulk Thermodynamics of Polybutadiene Star/Linear Blends

T. D. Martter, M. D. Foster, G. Lizarraga, S. Xu, R. P. Quirk (U. of Akron, Dept. of Polymer Science, Akron, OH 44325), P. Butler, C. F. Majkrzak (National Institute of Standards and Technology, Gaithersburg, MD 20899), J. D. Demaree (Army Research Lab, AMSRL-WM-ME, APG, MD 21005)

We investigated the effect of chain architecture on surface segregation and bulk thermodynamics of blends of well-defined star-branched and linear polybutadiene. Bulk thermodynamics were sensitively studied with Small Angle Neutron Scattering. The thermodynamic interaction parameter was found to increase with branching and also to vary somewhat with composition. The surface properties were studied with Neutron Reflectometry, and Nuclear Reaction Analysis. These measurements were performed on blends with varying compositions, number of arms of the star, and molecular weight of linear deuterated PB.

[L36.084] Diffusion Behavior in Metal/Polymer Nanocomposites

Rodney Guico (Northwestern University, Argonne National Laboratory), Kenneth Shull (Northwestern University), Jin Wang, Lynn Rehn, Peter Baldo (Argonne National Laboratory)

Characterizing diffusion behavior of metal nanoparticles in a polymer matrix is important for understanding metal/polymer interfacial dynamics. We have applied a variety of techniques to study such mobility in a gold/poly(tert-butyl acrylate) system in order to obtain a more complete picture of the diffusion behavior. X-ray standing wave along with reflectivity techniques were used to measure gold particle movement in a time resolved manner. Diffusion coefficients were also calculated from peak broadening in Rutherford backscattering spectrometry experiments. These methods were complemented by TEM, which shows the two-dimensional distribution of particles.

[L36.085] Effect of Strain on the adsorption of CO on Pd(100)

H. Metiu, M.W. Wu (Chemistry Department, University of California, Santa Barbara, CA 93106)

We present a density functional study of the adsorption of CO on the Pd(100) surface, to examine how surface strains affects adsorption isotherms. We find that the coverage, at a given temperature and presure, is changed substantially by strain.

[L36.086] Tuning the wetting behavior of block copolymers on self-assembled monolayers exposed to ionizing radiation

Richard Peters, Xiao Yang, Paul Nealey (Department of Chemical Engineering, University of Wisconsin)

Exposure of self-assembled monolayers to x-ray and extreme ultra violet radiation in the presence of air or oxygen results in the incorporation of oxygenated functional groups on the surface of the monolayer. The extent of chemical modification was determined as a function of dose and oxygen concentration. Dewetting, symmetric, neutral and asymmetric wetting of poly(styrene-b-methylmethacrylate) thin films was observed with increasing concentration of oxygenated functional groups. The results were analyzed using the Fowkes-van Oss-Chaudhury-Good approach for determining solid/liquid interfacial tensions. We will discuss and demonstrate applications of this technique to tune the surface properties of substrates for nanopatterning and to induce macroscopic ordering of thin films of diblock copolymers.

[L36.087] Symmetric Diblock Copolymer Thin Films Confined Between Two Hard Surfaces: Simulations and Theory

Qiliang Yan, Qiang Wang, Paul Nealey, Juan de Pablo (Department of Chemical Engineering, University of Wisconsin-Madison)

The morphology of thin films of symmetric diblock copolymers confined between two hard and flat surfaces was explored by means of Monte Carlo simulations on a lattice. For such simulations, the match between the bulk lamellar period and the simulation box size is crucial to obtain meaningful results. The simulations were performed in an expanded grand-canonical ensemble, where the chemical potential and the temperature of the confined film were specified and its density was allowed to fluctuate. Our simulations have revealed various types of morphology, depending on the surface configurations.

To construct the phase diagram for confined thin films, we have combined the results of simulations with a phenomenological theory. The simulations provide valuable insights into the lowest free-energy morphologies that are required by the theory; these structures are sometimes difficult to guess by simple intuition. The theory is useful for rationalizing the simulation results and for designing experimental protocols that will permit long-range patterning of nanoscale features.

[L36.088] Phase transition of LB films of mixed diblock copolymer at the air/water interface

Y.S. Seo, K.S Kim, V. Samuilov, M.H. Rafailovich, J. Sokolov, Rob G.H. Lammertink, G.J. Vancso (Affiliation)

We have studied the morphology of Langmuir blodgett films at the air/water interface of mixed diblock copolymer films. Solutions of poly(styrene-b-ferrocenyldimethylsilane) and PS-b-P2VP mixed in a ratio of 20/80 in chloroform were spread at the air/water interface. The morphology of the films was studied with AFM as a function of the surface pressure and the diblock copolymer molecular weight. The results show that the two diblock copolymers can be induced to mix at the air/water interface with increasing surface pressure. A reversible transition from spherical to cylindrical morphologies is induced in the mixture which can not be observed in films formed of the two components separately. The effective surface phase diagram as a function of block copolymer composition and pressure will be presented.

[L36.089] Brushes and Mushrooms in Diblock Copolymer/Homopolymer Mixtures

Andreas Terzis, Doros N. Theodorou, Chris Toprakcioglu (Univ. of Patras and FO.R.T.H.-I.C.E./H.T., Greece), Haralambos Retsos, Spiros H. Anastasiadis (FO.R.T.H.-I.E.S.L. and Univ. of Crete, Greece), Greg Smith (LANSCE, Los Alamos), Alain Menelle (C.E.N. Saclay, France), Yves Gallot (Inst. Charles Sadron, France), Georges Hadziioannou (Groningen, Univ., The Netherlands)

The interfacial segregation of block copolymers to the substrate/polymer interfaces from their mixtures with the respective homopolymers in thin films is investigated by neutron reflectivity and lattice-based self-consistent mean-field calculations; the adsorbed chain configuration was probed as a function of the ratio of block lengths. The segment density profiles of either PV2P-PS or PMMA-PS diblocks adsorbed at the PS/substrate interface are evaluated. Both experiment and theory reveal evidence for a broad transition from a "mushroom" to a "wet brush" configuration of the dangling chains by changing the ratio of the block lengths.

[L36.090] Anisotropic Buckling in a Confining Coverlayer Directs Island and Hole Formation in an Underlying Lamellar Block Copolymer Thin Film

M. R. Hammond, G. H. Fredrickson, E. J. Kramer (UCSB)

We cast symmetric poly(styrene-b-2vinylpyridine) (PS-PVP) diblock copolymer thin films on Si which form lamellae oriented parallel to the substrate surface, with equilibrium thicknesses 1.5 L_0, 2.5 L_0, etc, where L_0 is the equilibrium lamellar period. We investigate films of initial thickness 2.0 L_0, which form bicontinuous domain structures (1.5 or 2.5 L_0 thick) after annealing. If a thick, glassy confining film is placed on top of the block copolymer film before annealing, island and hole formation is restricted and the underlying lamellar morphology is forced to reorganize, whereas a thinner, elastically deformable confining layer will buckle to accommodate island and hole growth in the underlying film. By creating confining films with controlled topologies, we show that island and hole growth can be oriented, with domains forming parallel to directions of minimum bending stiffness of the cover layer topological structure.

[L36.091] Long-Range Order of Symmetric Block Copolymer Thin Films

Ho-Cheol Kim, Thomas Russell (Polymer Science and Engineering Department, University of Massachusetts at Amherst)

The long-range lateral ordering of the lamellar microdomains of symmetric diblock copolymers of styrene and methyl methacrylate was studied. Thin films of the block copolymer were prepared by spin coating solutions of the copolymer onto a nonpreferential surface which was made by end grafting poly(styrene-r-methyl methacrylate) random copolymer having a styrene fraction of 0.58 to silicon substrates. In the case of very thin films the nonfavorable interactions with the substrate result in a dewetting. The contact line is found to pin fluctuations, laterally, leading to a long-range lateral ordering of the lamellae that extends microns across the surface. The evolution and interfacial interactions dependence of the alignment will be addressed.

[L36.092] Controlling the Long Range Ordering of Block Copolymer Micelle Films

R.A. Segalman, H. Yokoyama, E.J. Kramer (UCSB)

The surfaces of polymer thin films preferentially attract one block of a diblock copolymer and this attraction can induce layering of spherical microdomains of asymmetric poly(styrene-b-2vinylpyridine)(PS-PVP) diblock copolymers, resulting in long range order perpendicular to the surface. We demonstrate that the lateral structure of such an asymmetric diblock copolymer film may be controlled by imposing a topological pattern on the film surface, resulting in a perfectly packed hexagonal array in 2-D, i.e., with no grain boundaries and few, if any dislocations. We observe the structure of these films by sputtering down to the midplane of a layer of PVP spheres with the oxygen ion beam of a secondary ion mass spectrometer and then imaging the exposed surface by scanning force microscopy. These images show that the topologically confined stripe of copolymer is ordered in a single crystalline, close packed structure with hexagonal symmetry for stripe widths as wide as 4 \mums, with a definite epitaxial orientation relationship between the edges of the stripe and the close packed directions in the layer. Such control may prove useful in lithographic applications of block copolymer films.

[L36.093] Alignment mechanisms of diblock copolymers in electric fields

Jason DeRouchey (UMass-Amherst Polymer Science and Engineering), Thomas Thurn-Albrecht, Tom Russell (UMass-Amherst), Sushil Satija (NIST)

Precise control of the orientation of block copolymer domains is of interest for the production of self-assembling nanoporous media. Electric fields are effective in orienting copolymer domains normal to a surface. In thin films of poly(styrene-block-methyl methacrylate), a threshold electric field strength E_t was found, which for film thicknesses greater than 10 \mum, was independent of film thickness and could be described by the difference in interfacial energies of the diblock components with the substrate. Neutron reflectivity, small angle neutron and x-ray scattering and off-specular scattering suggest that interfacial fluctuations are amplified by the electric field that leads to orientation of the cylinders along the field lines. In the case of poly(styrene-block-isoprene), a material with a smaller difference in dielectric constants, the microdomain orientation occurs at higher field strengths. Also the reorientation process is more rapid than in poly(styrene-block-methyl methacrylate).

[L36.094] Fracture of interfaces between glassy polymers in a trilayer geometry

Nicolas Passade, Costantino Creton (Laboratoire PCSM-ESPCI, Paris, FRANCE)

We have investigated the fracture behavior of A/B/A assemblies where A is a thick (2mm) beam of a glassy polymer and B is a thin (1 to 200 microns) layer of another glassy polymer immiscible with A. The external loading, the molecular structure at the A/B interface and the thickness of the B central layer were varied and the fracture toughness Gc was measured for each assembly. Fracture always occurred at one of the A/B interfaces and the microscopic deformation mechanisms depended on the molecular structure at the interface, on the plastic deformation properties of the A and B polymers but also on the thermal residual stresses in the layer and on the degree of mode mixity ahead of the crack tip, which was imposed by the external loading. A significant amount of shear stresses at the interface promoted the formation of oblique crazes in one of the two polymers and this caused a surprising dependence of Gc on the layer thickness which will be discussed. http://umr7615.pcsm.espci.fr/^\simpassade/gb/indexgb.html

[L36.095] The Relationship of Pretilt Angle and Chemical Structure of Rubbed Organo-Soluble Side-Chain Polyimides

Ian K. Mann, F. Bai, Z. Bai, J. Ge, L. Sun, H. Wang, Z. Zhang, Frank W. Harris, Stephen Z.D. Cheng (Maurice Morton Institute and Department of Polymer Science, The University of Akron, Akron, OH 44325-3909)

This work is concerned with the relationship between the properties of the pretilt angles and chemical structure of the alignment layer for a series of novel organo-soluble side-chain polyimides developed at The University of Akron. The polyimides were spin cast on ITO glass substrates and mechanically rubbed with a velvet cloth. Liquid crystal display cells were constructed with an anti-parallel geometry using 10\mum glass spacers and filled with the nematic liquid crystal mixture E7. The pretilt angle, which is defined as the angle between the liquid crystal director and the substrate, was measured using the magnetic null method. Various side-chain polyimide films were prepared and pretilt angles were determined employing identical processing conditions. In general, polyimides containing long flexible aliphatic side-chains (no. carbons >12) resulted in high pretilt angles (>20^o) however over time the pretilt shifted to a homeotropic alignment (i.e. 90^o to the substrate). The stability of the pretilt angles was improved when polyimide copolymers were used. Further enhancement of the stability was achieved by crosslinking the system prior to rubbing. Liquid crystal like side-chains (cyanobiphenol and biphenol based) resulted in stable pretilt angles ranging from 20 to 40^o for a spacer length of six carbons. Several surface techniques were used to study the effect of rubbing, including; atomic force microscopy, surfaced enhanced Raman scattering, and contact angle.

[L36.096] Reactive Processing with Difunctional Oligomers to Increase Interfacial Adhesion in Polymer Blends

Charles O'Brien, Kevin Rice+, Mark Dadmun (The University of Tennnessee, Knoxville)

The intoduction of blocky copolymers represents a possible method of compatibilizing two immiscible polymers in a blend. However, copolymers do not diffuse quickly to the interface of a polymer blend system. Therefore, reactive processing is being investigated as a means to form in-situ compatibilizers for polymer blends. A model system composed of poly(bisphenol A-co-epichlorohydrin) blended with poly(ethylene oxide) that is compatibilized with difunctional oligomers that are the same structure as the blend components is currently under investigation. It is expected that the oligomers can undergo an addition copolymerization during processing to create the blocky copolymers at the biphasic interface. Initial tensile measurements show that the addition of the reactive oligomers improves the properties of the blend. Additionally, preliminary results indicate that reactive oligomers may act as plasticizers and continue to polymerize at room temperature after the blend is removed from the melt mixer if insufficiently mixed.

[L36.097] Fracture Toughness of Modified Poly(ethylene terephthalate)/Gelatin Interfaces

B.Y. Asoo, E.J. Kramer (UCSB), C.-A. Dai (Eastman Kodak)

The poor wettability of gelatin solutions on nonpolar poly(ethylene terephthalate) (PET) and subsequent inadequate adhesion of cast gelatin films to PET substrates, can be improved by modifying the surface of the PET. Plasma treatment of the PET, which creates reactive surface functional groups, is a suitable surface modification. We measure the fracture toughness, G_c, of a semi-crystalline poly(ethylene terephthalate)/gelatin interface using an asymmetric double cantilever beam (ADCB) technique as a function of sample thickness, relative humidity, and plasma parameters. The results indicate that varying the thicknesses of the two beams, and thus the mechanical phase angle, is important to control the direction of crack propagation. Under high relative humidity G_c increases due to water absorption and plasticization of the gelatin. The fracture toughness increases as the product of the plasma power and exposure time of the PET to the plasma.

[L36.098] Experimental and theoretical investigation of random copolymer segregation

W Li, B Tang, Y Zhang, D Gersappe, M Rafailovich, J Sokolov (Department of Materials Science and Engineering, SUNY, Stony Brook, NY 11794), D Peiffer, M Lin (Exxon Research and Engineering, Annandale, NJ 08851), J A Dias, K O MacElrath (Exxon Chemical Corp, Bayton, TX 77520)

In this work we will show the compatibilization effect of random copolymer AB in homopolymer A and random terpolymer CDE rubbery system. In particular, we studied the interfacial property of styrene-butadiene rubber (SBR) in the interface of polybutadiene(PB) and functionalized polyisobutylene (Brominated isobutylene-co-methylstyrene, BIMS). Neutron reflectivity (NR) results indicated that BIMS/PB interfacial width broadened significantly (from 4nm to over 30nm) with the addition of SBR in PB. Flory-Huggins parameters were obtained from interfacial width of BIMS/PB and BIMS/SBR profiles measured with NR. Flory-Huggins parameter for SBR/PB was obtained from literature. With three Flory-Huggins parameters available, the interfacial property of SBR was studied with SCF (Self-Consistent Field) modeling. SCF modeling will be compared with NR results.

[L36.099] Numerical Investigation of Monodisperse Polymer in an Athermal Solution Between Two Surfaces

Matthew Yi, Mukesh Chhajer, P. D. Gujrati (University of Akron, Akron OH 44325)

We investigate a monodisperse polymer in an athermal solution between two surfaces, through a numerical method developed by Chhajer and Gujrati which has been successfully applied to a polydisperse system. The monodisperse polymers require distinguishing a monomer by its distance from the end-point, which was not the case with the polydisperse polymers. Previously, we have applied this method to fixed length polymer lengths and explored effects next to a surface and bulk properties. We replace the original cubic lattice by a modified tree structure of the same coordination number. This modification allows us to capture some of the correlations produced by the surface. The model is then solved by recursive technique. Here we report our results for a system of fixed length polymers between two surfaces of finite separation. We report the results of our computation of various density profiles as a function of the distance between the two surfaces. We also present results for the surface entropy and the surface free energy as a function of surface interaction energy as well as the effect of chain length.

[L36.100] Structure Within Thin Epoxy Films Revealed by Solvent Swelling: A Neutron Reflectivity Study

Hyun Yim, Michael Kent, W. Frere McNamara (Sandia National Laboratories), Robert Ivkov, Sushil Satija (NIST), Jaroslaw Majewski (Los Alamos National Labs)

Structure within thin epoxy films is investigated by neutron reflectivity (NR) as a function of resin/crosslinker composition and cure temperature. Variation in the crosslink density normal to the substrate surface is examined by swelling the films with the good solvent d-nitrobenzene (d-NB). The principal observation is a large excess of d-NB near the air surface. This is not a wetting layer, but rather indicates a lower crosslink density in the near-surface region. This effect is due to preferential segregation of the crosslinker to the air surface, driven by the lower surface tension of the crosslinker relative to the epoxide oligamers. The magnitude of the effect is a function of composition and cure temperature. Exclusion of d-NB from the region immediately adjacent to the substrate surface is also observed, possibly indicating a tightly bound layer of epoxy. Regarding swelling in the bulk of the films, the behavior is nonsymmetric with departure from the stoichiometric ratio. The films deficient in curing agent show greater equilibrium swelling and faster swelling kinetics than the films with an excess of curing agent.

[L36.101] Interdiffusion of Polyethylenes in Microlayers

Sergei Nazarenko, Eugene Stepanov, Anne Hiltner, Eric Baer (Case Western Reserve University, Department of Macromolecular Science,Center for Applied Polymer Reserach)

Kinetics of interdiffusion of a miscible polymer pair, high density polyethylene (HDPE) and linear low density polyethylene (LLDPE), was studied experimentally and theoretically in order to characterize the conditions required to construct micro- and nanoscopic gradient morphologies from microlayers. Microlayers were taken into the melt for a period of time, and the compositional gradient was fixed by crystallization upon quenching. High specific interfacial area of microlayers offset the low diffusion mobility of polymeric chains so that the microlayer in the melt approached composititional homogeneity on a laboratory time scale. The progress of interdiffusion was analyzed by thermal behavior, optical, electron and atomic force microscopy. The analysis revealed the role of different fractions and heterogeneity in the chain microstructure, and allowed us to extract the diffusion coefficients for elementary chains in the developing melt blend from the net kinetics of interdiffusion. It was found that the interlayer boundaries remained stationary during a characteristic time of interdiffusion of the component main fractions, and moved at long times as high molecular weight fractions became involved in interdiffusion. Interdiffusion of polyethylene pairs in microlayers was exploited to increase the concentration of inorganic particles in one of the components. When microlayers of LLDPE and low density polyethylene (LDPE) were taken into the melt, significantly greater mobility of linear LLDPE chains compared to branched LDPE chains caused a significant shrinkage of LLDPE layers. Adding a particulate in the LLDPE did not impede the process of interdiffusion in the melt, and the resultant shrinkage served to increase the particle concentration.

[L36.102] Patterning of a Semicrystalline Block Copolymer Thin Film via Epitaxial Crystallization

Cheolmin Park (Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139), Claudio De Rosa (Dipartimento di Chimica, Universita'di Napoli "Federico II" Via Mezzocannone 4, 80134 Napoli, Italy), Lewis J. Fetters (Exxon Research and Engineering Company, Annandale, New Jersey 08801), Bernard Lotz (Centre de Recherches sur les Macromolecules, CNRS Strasbourg, 67083 France), Edwin L. Thomas (Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139)

Epitaxial crystallization of a semicrystalline block copolymer onto a crystalline organic substrate guides microphase pattern formation. We used a semicrystalline triblock copolymer composed of a crystallizable polyethylene (PE) block, a glassy polystyrene block (PS) and a rubbery mid-block of alternating ethylene and propylene units (PEP). The surface interaction between the crystallizable PE block and the crystalline organic substrate induces a well ordered vertical lamellar structure of the crystalline block, within which polymer chains are epitaxially oriented, as evidenced by bright field imaging as well as selected area electron diffraction. The oriented pattern of the crystalline PE induced by the crystallographic epitaxy with the anthracene substrate simultaneously creates a layering of the PS component. Such control will be useful for the patterning of the block copolymers from the Angstrom to the micron scale.

[L36.103] Size induced glass transition in ultra-thin films and its impact in diffusive and elastic behavior.

J. Andres Torres, David S. Fryer, Paul F. Nealey, Juan J. de Pablo (UW-Madison)

Experiments show that ultra thin free-standing polymeric films have a lower glass transition temperature (Tg) than that of the bulk, but a higher Tg when supported on strongly attractive substrates. Our Tg values obtained by ellipsometry and local probe calorimetry are fully consistent. Molecular simulations of such films indicate the existence of two regions in the films: a low mobility region near strongly attractive substrates, and a high mobility region near a free surface. High mobility induces a lower Tg while low mobility tends to increase it. To understand the mechanisms behind these changes, self-diffusion coefficients were determined in bulk, supported and free-standing films. Tg changes could have serious implications for nanolithography. Simulations of structure deformation explored the changes that can be expected in the mechanical properties of nano scale structures. The results indicate that the Young's modulus of a polymeric material undergoes tremendous changes in the sub-100 nanometer range and feature's aspect ratio, temperature, and substrate's characteristics influence its elastic behavior.

[L36.104] Understanding the morphology and dynamics of ordering of thin films of diblock copolymers on chemically heterogeneous surfaces

Xiao Yang, Richard Peters, Qiang Wang, Juan dePablo, Paul Nealey (Department of Chemical Engineering, University of Wisconsin)

Chemically heterogeneous surfaces patterned with length scales from 10s of microns to 10s of nanometers were used as substrates for thin films of symmetric poly(styrene-b-methylmethacrylate). Film morphology was described by alternating regions of symmetric/asymmetric wetting or symmetric/neutral wetting, and patterns formed in the films due to differences in thickness between different wetting regions. Evidence of mass transport of polymer molecules on the surface of the films was observed. Pattern features coarsened with annealing time, film surfaces were smooth over one region even when the film thickness did not equal the quantized thickness for the type of wetting present in that region, and perpendicular lamellae were present at the free surface on patterned films over regions with neutral wetting. Some of the results were analyzed using a combination of Monte Carlo simulations and theory.

[L36.105] Thermal Expansion Behavior of Thin Polycarbonate Films

Christopher Soles, Wen-li Wu (NIST Polymers Division)

Recently the issue of physical property deviations in ultra-thin polymer films has received considerable attention in the literature. However, the majority of these works primarily focus on PS and PMMA, two polymers with very high entanglement molecular weights. In this work, we extend the thin film studies to polycarbonate, a polymer with one of the lowest entanglement molecular weights. Polycarbonate films of variable thickness are spun coat onto Si wafers and the thermal expansion is observed with specular X-ray reflectivity. For films supported on a wafer with the native oxide of Si, the expansion behavior is very bulk-like for thicknesses greater than 100 ÅFor films thinner than 100 Å\/ (the rms end-to-end length is ~ 160 Åthe apparent glass transition appears to be depressed. In these same sub-100 Å\/ films, a negative coefficient of thermal expansion is observed for temperatures below about 80 ^\circC. Curiously, this negative coefficient of thermal expansion is no longer observed when the sub-100 Å\/ films are supported on a hydrogen passivated Si wafer, suggesting that substrate interactions are important. The origins of these phenomena are to be discussed in greater detail.

[L36.106] Molecular dynamics simulation study of Norbornene-POSS polymers

R. J. Berry (Air Force Research Laboratory, Materials and Manufacturing Directorate (AFRL/MLBP), WPAFB OH 45433), R. K. Bharadwaj (Systran Federal Corporation, Dayton, OH 45431), B. L. Farmer (Air Force Research Laboratory, Materials and Manufacturing Directorate (AFRL/MLBP), WPAFB, OH 45433)

Atomistic molecular dynamics simulations have been used to delineate the effect of introducing polyhedral oligomeric silsesquioxane (POSS) moieties substituted by cyclopentyl (C5POSS) and cyclohexyl (C6POSS) rings as pendant groups on polynorbornene. Simulations were also performed on polynorbornene for comparison. Calculated volume-temperature behavior and X-ray scattering profiles matched well with experimental results. Most importantly, the effects of incorporating the POSS moieties into the polymer have been identified via simulations. These were judged on the basis of the increase in the glass transition temperature, retardation of the chain dynamics and improvements in the calculated elastic tensile, bulk and shear moduli of the POSS containing polymers compared to the norbornene homopolymer. The most important conclusion from the study is that aggregation of the POSS moieties is not required for the beneficial effects to be realized. Indeed, the simulations show that there is no tendency for aggregation to occur among the POSS moieties if they are well dispersed to begin with. Analysis using various intermolecular site-site radial distribution functions show the packing of the polymer chains around the C5POSS is more efficient compared to that in C6POSS and is attributed to the ungainly nature of the C6POSS moiety. In addition, the mean squared displacement of the POSS moieties in the polymer matrix was found to be very small at all temperatures leading to a slowing of the segmental dynamics of the backbone polymer chain, and thereby imparting the macroscopically observed stiffness. It is reasoned that the chief source of reinforcement arises from the POSS moieties behaving as strong anchor points in the polymeric matrix. This has more to do with the ponderous nature of these moieties versus any specific intermolecular interactions.

[L36.107] Synthesis and Characterization of High Performance Polyheterocycles

Shuxin Cong, Shi Jin, Stephen Z. D. Cheng (The University of Akron)

A new synthetic method has been developed to improve the low-potential polymerization of thiophene. In order to suppress the side reactions caused by the presence of water during electropolymerization, 2,6-di-tert-butylpyridine (DTBP) was added to the BF3-ethyl ether-thiophene(BFEE) solution. The addition of DTBP leads to an increase of the conjugation length and improves the packing of the polythiophene. Highly conductive polythiophene films can be electrochemically synthesized in the presence of BFEE and DTBP. The electrical conductivity of the polythiophene is approximately 1300 S/cm, which is one order of magnitude larger than that of the polythiophene film without DTBP. The new Lewis acid/DTBP electrochemical system also has been demonstrated to work well on other heterocyclic materials. Successful low-potential electro-polymerization of furan has been achieved with the oxidation potential lowered by 1100 mV using the DTBP/BEFF system.

[L36.108] Analysis of Sub-nanometer Defects Near Coating Surfaces by Positron Annihilation

Hongmin Chen, Renwu Zhang, Huimin Cao, Peter Mallon, Ying He, Thomas Sandreczki, Y.C. Jean (University of Missouri-Kansas City), R. Suzuki, T. Ohdaira (Electrotechnical Labs, Japan), Bent Nielsen (Brookhaven National Labs)

The environmental durabilities of several commercial bridge coatings are being investigated by exposing samples to accelerated UV irradiation. Primary microscopic techniques include positron annihilation spectroscopy (PAS), which detects and characterizes nanometer-scale physical holes/defects, and electron spin resonance (ESR) spectroscopy, which detects broken chemical bonds. For the PAS tests, significant decreases of sub-nanometer defect parameters are observed as a function of exposure time and of depth from the surface to the bulk. This is interpreted as a result of a loss of free-volume and holes fraction and an increase in cross-link density of the polymers during the degradation process. For the ESR tests, direct free radical signals are observed as a function of irradiation time and chemical environments. A high sensitivity of PAS and ESR tests to the early stage of degradation is observed.

*Supported by National Science Foundation (CMS-9812717) and by the Air Force Office of Scientific Research under Contract Numbers F49620-97-1-0162 and F49620-98-0309

[L36.109] Oxygen Diffusion In Physically Modified PET

Eugene Stepanov, Sergei Nazarenko, Anne Hiltner, Eric Baer (Case Western Reserve University), Center for Applied Polymer Research Collaboration

The improvement in oxygen barrier properties of poly (ethylene terephthalate) through various ways of physical modification was examined experimentally. Orientation and heat setting, crystallization from the glassy state at different temperatures as well as incorporation of platelet particles by microlayer coextrusion were considered. A model for correlating the permeability, diffusion and solubility coefficients with morphological changes was proposed. The model operated with the fraction of an impermeable phase that developed as a result of the material modification (an oriented amorphous phase, crystallites or oriented platelets) and a permeable amorphous phase of variable density. It was shown that crystallization frustrated the molecular packing in the amorphous phase, the densities of amorphous and crystalline phases being found in good agreement with previous X-ray results. The oxygen transport data were amendable to interpretation in terms of free-volume theory. The transformation from gauche to trans conformers upon orientation was characterized, and the density of the oriented impermeable phase was obtained.

[L36.110] Mesoscale modeling study of nematic liquid crystals confined to ellipsoidal domains

B. L. Farmer (Air Force Research Laboratory, Materials and Manufacturing Directorate (AFRL/MLBP), WPAFB, OH 45433), R. K. Bharadwaj (Systran Federal Corporation, Dayton, OH 45431), T. J. Bunning (Air Force Research Laboratory, Materials and Manufacturing Directorate (AFRL/MLPJ), WPAFB, OH 45433)

Director configurations of nematic liquid crystalline molecules packed in ellipsoidal domains have been investigated using mesoscale modeling techniques. Interactions between the directors were described by the Lebwohl-Lasher potential. Four different ellipsoidal shapes (sphere, oblate spheroid, prolate spheroid, and ellipsoid) were studied under homogeneous and homeotropic surface anchoring conditions. The model has been characterized by computing thermodynamic and structural properties as a function of ellipsoidal shape (prolate and oblate) and size. The predicted director configuration in ellipsoids resulting from homeotropic surface anchoring is found to be very different compared to that in spherical domains. The bipolar configuration involving homogeneous surface anchoring is nearly identical in the four cases. The effect of an external electric field applied at different orientations with respect to the major axis of the ellipsoid has been probed as a function of the magnitude of the field and ellipsoidal size and shape. The orientation of directors is most easily accomplished parallel and perpendicular to the major axis for the oblate and prolate spheroids respectively for homeotropic anchoring and along the bipolar symmetry axis for homogeneous anchoring. In domains with homeotropic surface anchoring, the oblate spheroid and elongated ellipsoid, and for homogeneous anchoring conditions, the prolate spheroid and elongated ellipsoid are predicted to be the most efficient geometries for PDLC applications.

[L36.111] QSPR Calculations of Tg of Electroactive Molecular Glasses

James M. O'Reilly, Santosh Putta, Priyan Patkar (Eastman Kodak Company)

Amorphous molecular glasses are used in a variety of electronic devices. Higher temperature performance requires the design of higher Tg glasses. QSPR techniques have been applied to calculate the Tg's of a series of triaryl amines that may be used in electroluminescent displays. The molecular descriptors described in Cerius2, (Molecular Simulations Inc.) were used with a Genetic Function Analysis to fit the experimental Tg data. For 31 molecules, Tg can be fitted within +_4C (std. error) and a max. deviation of 11 C with 5 molecular descriptors. Comparisons of these data with related QSAR calculations are discussed.

[L36.112] Photoresist Outgassing in EUV

Maharshi M. Chauhan, Paul F. Nealey (The Center for Nanotechnology and the Department of Chemical Engineering, University of Wisconsin - Madison, Madison WI 53706), Harun Solak, Franco Cerrina (The Center for Nanotechnology and the Department of Electrical and Computer Engineering, University of Wisconsin - Madison, Madison WI 53706)

The outgassing behavior of several commercial photoresists upon exposure to lithographic doses of EUV was studied. The amount of outgassing was determined by using a quartz crystal microbalance (QCM) and the chemical composition of the outgassed species was determined by using a quadrupole mass spectrometer (MS). The MS results were also used to obtain outgassing fluxes to compare with the QCM results. Solvent evolution studies at various PAB times and temperatures were also performed. Resists evaluated included four phenolic and one novolac based. Three of the phenolic resists used a chemically amplified deprotection reaction mechanism and the other two used a chemically amplified crosslinking mechanism. Most of the outgassed species that were identified were deprotection reaction products and photoacid generator (PAG) decomposition products.

[L36.113] Competing Silicon Backbone Conformations in Poly(di-n-octyl silane)

W. Chunwachirasiri, M.J. Winokur (Dept.~of Physics, Univ.~of Wisconsin, Madison, WI), R. West (Organo-silicon Research Center, Dept.~of Chemistry, Univ.~of Wisconsin, Madison, WI)

In situ quenching studies of poly(di-n-octylsilane) by UV-Vis absorption identify the presence of at least two competing low temperature Si-backbone conformations with

distinct UV-Vis absorption peaks centered at 354 and 370 nm. The actual chain conformation adopted is found to be extremely sensitive to the preexisting alkyl side chain packing (which itself depends on the thermal history). Thermal quenching from the thermotropic mesophase (at 70 ^\circC) to temperatures well below 0~^\circC suppresses side chain crystallization and this stabilizes the more planar form (at 370 nm). More modest thermal treatments allow for additional side chain packings and new crystal phases. Cooling to temperatures near 0~^\circC yields samples dominated by the 354 nm conformational form while cooling to temperatures between 5 and 10~^\circC gives a UV-Vis absorption with peaks centered at 322, 360 and 374 nm. X-ray diffraction and Raman scattering are used to further characterize these structural phases.

[L36.114] Studies of the Structure of Poly(silylenemethylene)s

Soo-Young Park (University of Virginia / Air Force Research Lab.), Tao Zhang, Leonard V. Interrante (Rensselaer Polytechnic Institute), Barry L. Farmer (Air Force Research Lab.)

The structures of several poly(silylenemethylene)s have been studied using X-ray, electron diffraction and molecular modeling methods. For most of the poly(di-n-alkylsilylenemethylene)s (alkyl : ethyl to hexyl), the backbone has an all-gauche conformation giving a 4_1 helical structure and similar packing with a two dimensional monoclinic ab-projection. Poly(di-n-ethylsilylenemethylene) (PDESM), however has a pseudo-orthorhombic unit cell (\gamma*=~92^o) containing two chains (four repeat units), one at the corner and the second nearly in the center of ab-projection, indicating that the length of the alkyl side chains affects the packing without changing the backbone conformation. The structure of two side chain liquid crystalline polysilylenemethylenes, -(SiCH_3R-CH_2)_n- : R = O(CH_2)_8O-Ph-Ph (PSM-8) and R = O(CH_2)_11O-Ph-Ph (PSM-11) also have been studied by X-ray diffraction methods. PSM-8 has both S_B and S_A liquid crystalline phases with a layer thickness of 26ÅPSM-11 has S_B and S_A phases as well as two additional crystalline structures (K_0 and K_1) with a layer thickness of 30 Å. The crystalline structure has three dimensionally ordered mesogenic groups tilted ~ 26^o from the fiber axis.

[L36.115] Structure and Properties of Modified Poly(urethane urea)s: Polyisobutylene Comb Polymers and Nanocomposites

D.M. Weisberg, R. Xu, J.T. Garrett, C.A. Siedlecki, A.J. Snyder, G. Rosenberg, J. Runt (Penn State University)

Two routes to lower permeability of gases in polyether-based poly(urethane urea) block copolymers are being explored. In the first, several series of relatively high molecular weight poly(urethane urea) comb polymers with polyisobutylene were synthesized. Characterization of the structure of these amphiphilic copolymers was conducted using solid state 13C NMR among other methods. Atomic force microscopy was used to evaluate the microphase-separated morphology. Permeability of the copolymers to water vapor and simple gases was measured and the values compared to predictions from theoretical models. In the second portion of the study, nanocomposites of poly(urethane urea) and modified montmorillonite were prepared. A significant change in the gallery spacing of the composites was noted from x-ray diffraction experiments and significant reinforcement of the mechanical properties was obtained at low clay loadings. Permeability measurements on these materials will also be discussed.

[L36.116] Microdomain Morphology of Poly(urethane urea) Multiblock Copolymers

J.T. Garrett, C.A. Siedlecki, J. Runt (Penn State University)

A series of well-defined poly(urethane urea) multiblock copolymers was synthesized from MDI, ethylene diamine and 2000 MW poly(tetramethylene oxide), with hard segment contents between 14 and 47 wt. percent. Atomic force microscopy and small-angle x-ray scattering were the primary techniques used to investigate the microphase-separated structure. Surfaces of solution cast films and freeze-fractured surfaces were analyzed using a Digital Instruments MultiMode SPM in the tapping mode. Both topography and phase images were recorded. The copolymers have a uniform, single-phase outer layer (soft phase), with the hard domains primarily located beneath this overlayer. For all copolymers, AFM images show that the hard domains are in the form of randomly oriented cylinders. A structural model for these copolymers is presented.

[L36.117] Crystallization and Solid State Structure of Poly(lactide) Copolymers

S. Baratian, J. Runt (Penn State University), E. Hall (Cargill-Dow), J.S. Lin (Oak Ridge National Laboratory)

A series of random poly(lactide) copolymers was synthesized from L-lactide and D,L lactide using a tin (II) octanoate catalyst. The copolymers contained from 1.7 to 6.2 percent R stereochemical defects in otherwise S stereoisomer chains. Small-angle x-ray scattering experiments were used to determine the final lamellar microstructure of the copolymers. Lamellar thicknesses were strongly dependent on R co-unit concentration and it was concluded that the final structure contains significant pockets of non-crystalline material between spherulite fibrils. Equilibrium melting temperatures were estimated using the Gibbs-Thomson approach and their variation with comonomer content suggests that there is significant exclusion of R stereochemical defects from crystalline regions. Spherulite growth rates of the D-lactide copolymers were found to be larger than L-lactide/meso-lactide copolymers at equivalent optical composition.

[L36.118] Distortions Near Edge Dislocations in Conjugated Crystalline Polymers

David Martin, Lawrence Drummy, Lebzylisbeth Gonzalez-Ronda, Christian Kübel (Materials Science and Engineering, The University of Michigan)

We have been examining the microstructure and macroscopic properties of specific grain boundary and dislocation defects in optoelectronically active, conjugated crystalline polymers such as polydiacetylenes and polyalkylbithiazoles. Here, we discuss molecular models of dislocation structures in these materials, and compare our results with direct experimental images of dislocations obtained by low dose High Resolution Electron Microscopy (HREM). The molecular models of the defects were constructed by generating a superlattice containing two neighboring arrays of polymer chains with different lengths (N, N-1). The simulations were examined in the limit of N -> infinity, corresponding to an effective defect density 1/N -> 0. Estimates of the geometrical distortions associated with the defect and the contributions of the different molecular mechanisms leading to the increase in energy were obtained. The models correspond to edge dislocations with Burger's vector b=[001] and line directions [100] and [010]. For poly(methyl bithiazole), it was found that after energy minimization the dislocation cores tended to dissociate into two partials separated by an extended stacking fault between neighboring chains.

[L36.119] A Morphological Investigation of Dry and Solvent Swollen Nafion

Sandra Young, Samuel Trevino, Nora Beck Tan, Don Rivin (US Army Research Laboratory), Rick Paul (NIST)

A common goal between many scientists is to determine the structure of Nafion®. Through this structural determination, a better understanding of the properties (mechanical, thermal, transport) of ionomers might be achieved, along with the possibility of controlling the properties. In the pursuit of this goal, we have utilized neutron scattering techniques to gain information on the polymer morphology. All membranes were initialized to a standard state before using the membranes in experiments or exchanging to a different counterion. Prompt g activation analysis has been utilized to evaluate the counterion on the sulfuric acid group; i.e. evaluate the extent of neutralization, and the amount of water trapped within the membrane. Samples of N117 were dried and some of these samples were then swollen to equilibrium in a variety of solvents: water, ethanol, DMF, DMMP. Other samples of N117 were swollen with water or ethanol with an increasing volume fraction of solvent. Small angle neutron scattering experiments were then conducted to evaluate the structure of the polymer in the dry and solvent swollen states. Three distinct 'q' features can be noted from the SANS plots. For the experiments investigating the effect of increasing volume fraction of water or ethanol within the membrane, the peak at the highest 'q' value can be observed to shift to lower 'q' values while the other two features remain the same. A linear, monotonically increasing relationship exists for d-spacing of this 'q' value versus increasing volume fraction solvent plots and is believed to be indicative of the changing structure of the cluster.

[L36.120] What Does the SAXS Experiment Tell Us?

Buckley Crist (Nortwestern University)

SAXS is a primary tool for assessing the morphology of semicrystalline polymers. The most common model is a stack of alternating lamellar crystals and amorphous regions; spherulitic polymers are represented by an isotropic array of such stacks. Assuming that lamellae are flat and infinitely wide, the structure is effectively one-dimensional, and the (Lorentz corrected) intensity I_1(s), the correlation function \gamma_1(r), and the interface distribution function g_1(r) each provide structural information. I_1(s) gives a measure of the periodicity within a stack, while \gamma_1(r) and g_1(r) permit ready estimation of both periodicity and local crystallinity. Intensity I_1(s) is calculated for stacks with symmetric and skewed distributions of repeat periods, various crystallinities, and for different numbers of lamellae per stack. I_1(s) is used to generate \gamma_1(r) and g_1(r), as in an experiment. For all cases the three functions return periodicity in the order L_I \geq L_\gamma \geq L_g, where the subscript designates the function. Apparent crystallinity is in the order \alpha_\gamma \leq \alpha_g. These inequalities are interpreted in terms of the characteristics of the disordered lattice. Preliminary calculations are presented for the case when stacks have a finite width. It is concluded that the "infinitely wide" assumption is valid for cylindrical stack diameter D greater than approximately 6 times the average long period L.

[L36.121] The Structure and Phase Behavior of the Novel Dendritic Liquid Crystalline Polymers

Zhen Liu, Stephen Z. D Cheng (The University of Akron), Peiwei Chu, Virgil Percec (Case Western Reserve University)

Dendritic polymers are macromolecular compounds that contain a branching point in each structural repeating unit. Recently liquid crystalline dendritic polymers have proven to be an interesting new family of mesogenic compounds. These liquid crystalline dendrimers can exhibit nematic (N), smectic A (SA) or Smectic C (SC), and hexagonal columnar phases. In addition, several monodendrons can self-assemble into cylindrical and spherical supramolecular structures which produce columnar and cubic mesophases. A series of side-chain dendritic polynorborenes has been synthesized by living ring-opening metathesis polymerization. The side groups are second generation G2(OH) monodendron which are based on the comformationally flexible AB2 mesogenic monomer, 13-hydroxy-1-(4-hydroxyphenyl)-2-(4-hydroxy-4”-p-terphenylyl) tridecane building block. These polymers exhibit multiple phase transitions during cooling and heating in DSC experiments. Four different phases are identified in addition to the isotropic melt using wide angle X-ray diffraction and small angle X-ray scattering synchrotron experiments and polarized light microscopy. These phases include a novel supermolecular SB phase, two SA phases and a nematic phase. One of the SA phases is metastable and can be separated by annealing the samples.

[L36.122] Melting and Crystallization of Amorphous-Crystalline Diblock Copolymer

Yan Chen, Lei Zhu, Stephen Z.D. Cheng (Maurice Morton Institute and Department of Polymer Science, The University of Akron, Akron, Ohio 44325-3909)

Many transition behaviors such as crystallization and glass transition of polymer thin films are dependent of the thickness, which has been a very active research topic for the past several decades. Methods to obtain uniform thin films and detection of the physical transition processes are the keys to studying phase transitions of the thin film. We have chosen a series of poly(ethylene oxide)-b-polystyrene (PEO-b-PS) to construct a uniform semi-crystalline PEO film sandwiched by amorphous PS films, whose thickness can be controlled by the diblock copolymer composition and crystallization conditions by growing single crystals from dilute copolymer solution. We employ lamellae single crystals as an ideal model of a thin film to study the following problems: 1.) How thin can the amorphous PS film be and still confine the PEO crystallization and melting, and 2.) what are the crystallization and melting behaviors of the PEO film in a nano meter scale confined geometry, particularly how do the morphology and chain folding change.

[L36.123] New X-ray and Neutron Diffraction Data and PRISM Theory for Polyethylene Melts

Anton Habenschuss, Brian K. Annis (Oak Ridge National Laboratory), J. David Londono (E. I. DuPont), John G. Curro, Jeffrey D. Weinhold, Mathias Puetz (Sandia National Laboratories)

As part of a program to study the structure, packing and miscibility characteristics in polyolefins and their mixtures, we present new X-ray and neutron diffraction data sets on linear polyethylene melts. The X-ray structure factor is compared to new self-consistent PRISM calculations using a realistic united atom model. Improved agreement with experiment is obtained by modifying PRISM to yield the correct compressibility. Self-consistent PRISM calculations were also carried out on an explicit atom model of polyethylene to predict the intermolecular pair correlation function between H atoms. The results were in good agreement with the H-H intermolecular radial distribution function obtained from neutron scattering difference experiments on isotopically substituted polyethylene.

[L36.124] Achieving Finely Dispersed Minority Phases in Immiscible Polymer Blends via Pulverization

Andrew Lebovitz, Manuel Anguiano, Klementina Khait, John Torkelson (Northwestern University, Depts. of Chem. Eng. and Mat. Sci. and Eng.)

Recent research utilizing solid-state shear pulverization (SSSP) has revealed its ability to effectively compatibilize particular immiscible polymer blends and to efficiently mix polymers with highly unmatched viscosities. New examinations involving SSSP include thermal analysis and electron microscopy of a 92/8 (wt. blend; two PE recrystallization peaks are noted, signifying the occurrence of both heterogeneous and homogeneous nucleation, the latter associated with blends containing one component as very finely dispersed droplets. Corroboration has been provided by SEM in which PE dispersed-phase diameters as small as 200-300 nm are seen; the dispersed particles are significantly smaller then those achieved via melt processing. The ability of SSSP to achieve both fine dispersion and compatibilization can lead to enhanced mechanical properties relative to blends produced via melt processing. Such studies are underway in other systems including polypropylene/poly(butylene) terephthalate blends.

[L36.125] Studies on Single Lamellar Crystals of Short Chain Branched Polyethylene Copolymers Crystallized From Solution

Qiang Wang, Stephen Z. D. Cheng (Maurice Morton Institute of Polymer Science, The University of Akron), Qiang Fu (Sichuan Union University)

Single crystals of a series of metallocence catalyzed ethylene-butene copolymers with similar branch content but different molecular weight or similar molecular weight but different branch content were prepared using p-xylene, octane and dodecane as solvents at different temperatures. The morphology and structure of crystals were characterized using transmission electron microscopy , atomic force microscopy and electron diffraction. The solvent effect, crystallization temperature, molecular weight and branch content dependence of the aspect ratio (the length ratio of the b to a axes in the single crystals) and thickness of the crystals are studied. The aspect ratio increases with increasing crystallization temperature for each solvent. However, the aspect ratio in p-xylene is smaller than those in octane and dodecane. For the same solvent and temperature both the aspect ratio and thickness increase with increasing molecular weight and decreasing branch content. Sectorization behaviors are studied by polyethylene decoration and AFM.

[L36.126] Novel Banded Structures in a Combined Main-Chain/Side-Chain Crystalline Polyester: from Liquid Crystals to Confined Crystals

Jason J. Ge, Wensheng (William) Zhou, John Z. Zhang, Shy-Yeu Wang, Frank W. Harris, Stephen Z.D. Cheng (The University of Akron)

Characterization of banded structures obtained from liquid crystals to confined crystallization has been investigated using optical and atomic force microscopy. A combined main-chain/side-chain liquid crystalline (LC) polyester, PEFBP(n = 11), was focused on to illustrate the formation of interesting additional bands on crystallization. On macroscopic scales, both approaches can be applied to visualize the morphological changes in these banded textures. In tapping mode AFM, the 3-D topographic banding images are detected in the height image from Ĕ3.5 \mum LC bands to Ĕ50 nm confined crystal bands. The sub-surface fine features of edge-on crystal (KO) lamellae are differentiated in an extended chain conformation in the phase image. The formation of complicated banded structures from liquid crystals to confined crystallization is recognized as a new element: self-elongated 1-D crystal growth in the confined LC matrix on crystallization.

[L36.127] The Growth and Morphology of Syndiotactic Polypropylene Lamellar Crystals Studied by AFM with Heating Stage

Wensheng (William) Zhou, Stephen Z. D. Cheng, Darrell H. Reneker Reneker (The University of Akron), Sergei Magonov (Digital Instruments)

We successfully obtain in-situ AFM images during the growth and melting of sPP single crystals from melt. On a heating stage, single crystals are melted first, then the samples are cooled down to a preset crystallization temperature to study crystal’s growth. From the beginning of the growth of these single crystals, sectorization can clearly be seen. There are two kinds of sectors, with different thicknesses in each crystal. Upon heating, with careful control of the temperature, the thicker sectors melt first on the edge, showing notches on the edge of the domain. After kept on the same temperature, the partially melted thicker sectors recrystallize and perfect themselves to reserve the shape of the sector. The further increasing of temperature leads to the melt of the thinner sectors, then the melt of thicker sectors follow. This indicates two melting temperatures in one single crystal. The melting and growth of the single crystals can be repeated with this thermal cycle. The surface topography and chain folding of sPP lamellar crystals are also studied by lateral force microscopy.

[L36.128] Sporadic Nucleation and Growth in the Microphase Separation Process of an I2S Miktoarm Star Block Copolymer and its Blends with Homopolymer

Lizhang Yang, Darrin J. Pochan, Samuel P. Gido (Polymer Science and Engineering Department, University of Massachusetts, Amherst, MA 01003), Stergios Pispas, Kunlun Hong, Jimmy W. Mays (Department of Chemistry, University of Alabama at Birmingham, Birmingham, AL 35294)

A selective solvent and annealing study was done to investigate the morphology behavior of an I2S miktoarm star block copolymer and its blends with homopolyisoprene. Casting from cyclohexane, a selective solvent for polyisoprene, the neat star shaped I2S block copolymer only partially microphase separated, and formed a unique layered morphology inside a homogeneous media. During annealing, the layered phase and the homogeneous phase both transformed into a randomly oriented worm morphology. The path of this transformation is different depending on whether the starting state is layered or homogenous. The I2S/homopolyisoprene blend formed a mostly homogeneous phase after casting from cyclohexane. Annealing produced slow microphase separation which was observed at various stages by TEM. Based on these observations, a sporadic nucleation process of microphase separation is proposed.

[L36.129] New synthetic route for nanoporous ceramic films based on silicon-containing block-copolymers.

Martin Brinkmann, Vanessa Z.-H. Chan, Edwin L. Thomas (MIT), Apostolos Avgeropoulos, Nikos Hadjichristidis (Dpt Chem., U. Athens), Victor Lee, Robert D. Miller (IBM Almaden)

We have studied the morpholgy in thin films of various diblock and triblock copolymers based on isoprene and (penta-methyl-disilyl-styrene) by Atomic Force Microscopy and Transmission Electron Microscopy. The structure of the films obtained by spin coating and by casting onto water of dilute solutions in toluene is shown to depend strongly on the wetting properties of the block copolymer on the considered substrate. The microstructure of the films and the degree of order achieved (extension of domains, defect concentration) depend on the evaporation rate of the solvent. Dewetting of the polymer films leads to the appearance of holes and disrupts microstructure. The microstructured copolymer films are accordingly used for the patterning of substrates such as silicon wafers or conducting ITO glass. Nanoporous ceramic films with periodicities of several tens of nanometers are obtained by combining ozone and UV light treatments of the block copolymer film. Subsequent Reactive Ion Etching (RIE) can be used to pattern the substrate.

[L36.130] Moisture Diffusion in Poly(Bismaleimide) and its Composites

L. Bao, A. F. Yee (Macromolecular Sci. & Eng., U. of Michigan, Ann Arbor, MI 48109)

Moisture causes deterioration on the performance of polymer composites; however, the molecular mechanisms of moisture transport and damage remain unclear. We have studied a poly(bismaleimide) (BMI) carbon fiber composite system. The weight gain behavior of BMI and its composites deviate significantly from Fick's law in that no equilibrium uptake is observed. A modified Fickian diffusion model which can successfully fit the experimental data is proposed. The equilibrium uptake factor in Fickian diffusion is modified to be time dependent. The success of this modification suggests that the structure of BMI changes during absorption. Desorption and re-absorption experiments confirm this speculation. Positronium annihilation results suggest network relaxation is likely the reason for the structural change. Moisture uptake of composites is described well by the same model. Interestingly, the normalized weight gain of a woven composite is significantly lower than that of neat BMI resin, suggesting constraining effects by the fiber-matrix interface. This work is supported by AFOSR Grant F-49620-98-1-0377.

[L36.131] Study of Shear-induced orientation in polyethylene melt near the melting temperature using synchrotron SAXS and WAXD

R.H. Somani (Chemistry Dept., SUNY at Stony Brook.), I. Sics (Instituto de Estructura de la Materia, Madrid, Spain.), B.S. Hsiao, Z.G. Wang (Chemistry Dept., SUNY at Stony Brook.), F. Balta-Calleja (Instituto de Estructura de la Materia, Madrid, Spain.), T. Ezquerra (Instituto Estructura de la Materia, Madrid, Spain), S. Srinivas, A. Tsou (Exxon Chemical Company, Baytown Polymers Center, TX 77522.), SUNY at Stony Brook Team, Instituteo de Estructura de la Materia Madrid Spain Team, Exxon Chemical Company Collaboration

Simultaneous time-resolved synchrotron small-angle x-ray scattering (SAXS) and wide-angle x-ray diffraction (WAXD) were used to follow molecular and lamellae orientation in the melt of polyethylene near its melting temperature (T_m as obtained from the DSC peak). A Linkam shearing stage, designed for use in in-situ x-ray scattering experiments, was used for application of high shear fields to the polymer melt. The melt was subjected to a high shear strain (1400speculate about the development of a shish-kebab structure having flow induced extended chains of higher molecular mass, intercalated by chain folded lamellae perpendicularly oriented to the flow direction. The polymer chains in the row-like lamellae are also oriented along the flow direction, the lamellar growth direction being perpendicular to the flow direction.

This work is supported in part by a NSF grant (DMR 9732653) and in part by an US-Spain Sci.and Tech.Grant.

[L36.132] Effect of Reaction Rate on Morphological Change of Reactive Blends

Hyun Kyoung Jeon, Jin Kon Kim (Department of Chemical Engineering and Polymer Research Institute, Pohang University of Science and Technology, Pohang, Kyungbuk, 790-784, Korea)

The effect of reaction rate on the morphology of reactive blends has been studied using 75/25 (wt/wt) mono-carboxylated polystyrene [PS-mCOOH]/poly(methyl methacrylate) [PMMA] with poly(methyl methacrylate-ran-glycidyl methacrylate) [PMMA-GMA] as an in-situ compatibilizer. We changed the amount of PMMA-GMA in the blend, the molar concentration of GMA, C_GMA,0 in PMMA-GMA at fixed molecular weight, and the molecular weight of PMMA-GMA at fixed C_GMA,0. For the blends with PMMA-GMA having lower C_GMA,0, there exists a critical amount of PMMA-GMA above which a sharp decrease in the volume average domain size (D_v) occurs. this amount was shifted to a smaller value with increasing C_GMA,0 in PMMA-GMA. We demonstrated that the interfacial graft reaction between PS-mCOOH and PMMA-GMA at 220 ^oC was described by the simple second-order reaction kinetics, i.e., mean field reaction kinetics.

[L36.133] Full Pattern WAXD Refinement of Oriented Polymer Structures Using Simulated Annealing

Jing Wu, Jerold Schultz (Univ. of Delaware, Chemcial Engineering)

The simulated annealing approach has been adopted to refine WAXD patterns generated from semicrystalline polymers fibers. The intensity in reciprocal space is predicted first, subject to a coordinate transform to map to the film space. Then a simulated annealing algorithm is applied to optimize the structure parameters to match the simulated and experimentally recorded patterns. Other pertinent algorithms which facilite the 2-D scattering data preparation will be presented. A sample calculation on data from poly(trimethylene terephthalate) fibers will be presented.

[L36.134] Macromorphology of Polypropylene Homopolymer Tacticity Mixtures

Roger Phillips (Montell USA Inc.)

The macromorphology of isotactic/atactic (iPP/aPP) and isotactic/syndiotactic (iPP/sPP) polypropylene mixtures is examined by optical microscopy. At high undercooling the spherulitic macrostructure of equimolecular weight (Mw=200k) iPP/aPP blends is volume filling to high aPP concentration and similar to the iPP homopolymer. The rapid rate of iPP crystallization obscures the underlying phase behavior of 50/50 (Mw=200k) iPP/aPP blends. At high crystallization temperature (140-145 C) equimolecular weight (Mw=200k) 50/50 iPP/aPP blends exhibit nodular texture due to melt phase separation which develops prior to crystallization. The upper critical solution temperature (UCST) lies below 155 C, and the blend is miscible at conventional melt processing temperatures. The UCST behavior is controlled in a systematic manner by blend molecular weight and aPP tacticity microstructure. The iPP/sPP pair shows much stronger tendency for phase separation than the iPP/aPP pair and is immiscible (Mw=200k) at melt processing temperatures. The size scale of iPP/sPP phase separated texture is controlled by the competition between crystallization and phase separation.

[L36.135] Confined crystallization in a lamellar forming PEO-b-PS diblock copolymer

Lei Zhu, Stephen Z. D. Cheng*, Bret H. Calhoun, Qing Ge, Roderic P. Quirk (Maurice Morton Institute and Department of Polymer Science, The University of Akron, Akron, OH 44325-3909), Benjamin Hsiao, Fengji Yeh (Department of Chemistry, The State University of New York at Stony Brook, Stony Brook, New York 11794-3400)

Crystal orientation and phase morphology determined by self-organization, vitrification, and crystallization have been investigated in a lamellar forming poly(ethylene oxide)-b-polystyrene diblock copolymer. The glass transition temperature of the PS block and melting temperature of the PEO block are 62°C and 51°C, determined by differential scanning calorimetry. The order-disorder transition temperature is observed at 160°C using one-dimensional small angle X-ray scattering (SAXS) experiments. Therefore, the PEO blocks basically crystallize in a confined lamellar space formed by PS glassy layers. The crystal orientation determined by both two-dimensional SAXS and wide angle X-ray diffraction shows transitions from perpendicular to the lamellar surface normal to inclined, and finally parallel to the LSN, solely depending upon an increase of crystallization temperature.

[L36.136] Structural Study of Poly(ferrocenyldimethylsilane) in Electrospun Nanofibers and Poly(ferrocenyldimethylsilane)-b-Poly(isoprene) Diblock Copolymer in Bulk

Zhihao Chen, Mark Foster, Hao Fong, Darrell Reneker, Tae Hee Chang, Roderic Quirk (Dept. Polymer Science, U. of Akron), Rui Resende, Ian Manners (Dept. Chemistry, U. of Toronto)

A novel organometallic homopolymer, poly(ferrocenyldimethylsilane) (PFS), when formed into nanofibers using the electrospinning process, is found to exhibit a strong diffraction spot that is not observed in the x-ray powder pattern of unoriented samples. This structure has been investigated using electron diffraction (ED) from a single PFS nanofiber. The molecules are oriented along the fiber axis, as indicated by the optical birefringence. ED patterns indicate an orthorhombic crystal structure, different from that in the powder, with the crystals well ordered along the c axis, but randomly oriented in the azimuthal direction in the ab plane. PFS has also been incorporated in a well-defined diblock copolymer with poly(isoprene) using anionic polymerization. The crystallization and microphase behavior of the diblock copolymer has been studied by using transmission electron microscopy, small-angle and wide-angle x-ray scattering, and dynamic mechanical measurements.

[L36.137] Comparison of Scattering Data and Molecular Dynamics Simulations for Liquid Poly(ethylene oxide) PEO and Small Molecule Analogs

Brian K. Annis, Anton Habenschuss (Oak Ridge National Laboratory), Christopher J. Benmore (Rutherford Appleton Laboratory), Oleg Borodin, Dmitry Bedrov, Grant D. Smith (University of Utah)

Wide angle neutron scattering data from a melt of deuterated poly(ethylene oxide) at 363K and X-ray data from the small molecule analogs glyme (CH3OCH2CH2OCH3) and diglyme ((CH3OCH2CH2)2O) are presented and compared with results of molecular dynamics simulations. An explicit atom quantum chemistry based force field was used in MD simulations of glyme, diglyme, and 12 and 54 repeat unit PEO melts. We found good agreement between the experimental structure factors and those from MD simulations. The structure factor dependence on PEO molecular weight was obtained from MD simulations. It exhibited a slight molecular weight dependence from glyme to diglyme and 12 repeat unit PEO, but remained essentially unchanged upon further increase of polymer molecular weight.

[L36.138] Mixing Efficiency, Coarsening, and Self-Compatibilization in Immiscible Polymer Blends Processed via Solid-State Shear Pulverization

Albert Davydov, Klementina Khait, John Torkelson (Depts. of Chem. Eng. and of Mat. Sci. and Eng., Northwestern University)

Solid-state shear pulverization (SSSP) is a continuous, mechanical alloying process employing simultaneous effects of high pressure and shear deformation to pulverize and mix polymers. Under certain conditions SSSP can result in limited chain scission and polymeric radical formation. In immiscible blends, these radicals may be able to recombine in interfacial regions or regions of high mixing resulting in block copolymer formation and compatibilization. The effects of SSSP on amorphous polyamide (PA)/polystyrene (PS) and PS/low density polyethylene (LDPE) blends have been studied. As compared to melt-mixed blends, SSSP yields blends with enhanced blend morphology refinement or dispersion, and in certain cases enhanced bulk mechanical properties, particularly elongation at break and impact strength. Comparisons of dispersed-phase coarsening during high temperature, liquid-state annealing of the SSSP - processed and conventionally melt-mixed blends will be discussed in terms of the potential for achieving effective compatibilization of particular blends via SSSP.

[L36.139] Polymerization peak in polystyrene: A molecular dynamics simulation study

Chakravarthy Ayyagari, Dmitry Bedrov, Grant Smith (Department of Materials Science and Engineering, University of Utah)

In this work, a molecular dynamics study of polystyrene using explicit atom model is presented. Simulations were performed on atactic polystyrene (16 chains) employing the force field obtained from our previous simulations on small chain polystyrene. The x-ray scattering intensities obtained from radial distribution functions were compared to the experiment. Simulations reproduce the so-called "polymerization peak" in the scattering curves. The intensity of the peak is known to increase with increase in temperature unlike any other scattering peaks. This anomalous behavior is also observed from simulations. The relative intensities of the peak over different temperature range are in good agreement with the experiment. It is evident that phenyl-phenyl correlations play an important role in determining the structure of polystyrene. Extensive analysis of our simulations reveals that 1-4 interphenyl interactions contribute to the appearance of "polymerization peak". The temperature dependence of the peak was demonstrated by comparing the conformations responsible over different temperatures.

[L36.140] STRUCTURE AND ORDERING OF MICELLES IN TRIBLOCK COPOLYMER SOLUTIONS

Yong Li, Guangdong Liao, Karl Ludwig, Rama Bansil (Center for Polymer Studies and Department of Physics, Boston University), Cestmir Konak (Institute of Macromolecular Chemistry, Czech Republic), Jyotsana Lal (Argonne National Laboratory, Argonne Illinois)

We have used small angle x-ray scattering (SAXS) and neutron scattering (SANS) to study the micelle structure of a polystyrene(PS)-block-poly(hydrogenated butadiene)(PHB)-block-polystyrene triblock copolymer in dilute - semidilute solutions in solvents selective for either the outer PS block (dioxane) or for the middle PHB block (heptane or decane). Equilibrium structure factors were measured over the temperature range of 20 - 90 C for different concentrations of the copolymer, ranging from 4-15solvents. The structure factors were fit to interacting hard sphere Percus-Yevick model as well as the core-shell model of micelles. In a time resolved SAXS experiment we were able to follow the growth of micelles following a temperature quench in a 4% sample in heptane. The core radius, the hard sphere interaction radius and the volume fraction of hard spheres increase with time following an exponential relaxation. At higher concentrations we were able to observe the kinetics of ordering. The results agreed with the Mehl-Johnson-Avrami nucleation theory.

[L36.141] Morphological Investigation of Two-Phase LC/Polymer Films Formed via Reaction-induced Phase Separation

Greg Hostetter, Greg Beaucage (Dept. Mat. Sci. and Eng., University of Cincinnati), Barry Farmer, Timothy Bunning (Air Force Research Laboratory, AFRL/MLPJ, WPAFB, OH)

The two-phase morphology of polymerization-induced liquid crystal/polymer structures are examined using polarized optical microscopy, high resolution scanning electron microscopy, and static light scattering techniques. Specifically, the difference between a highly functional free-radical monomer and highly functional step-growth monomer is examined. The free-radical monomer system gels before the appearance of a liquid crystalline phase and the polymer morphology consists of small polymer beads which have aggregated together to form a macroscopic network. The step growth monomer system, cured at the same composition and intensity, exhibits liquid crystalline behavior before gelation while the polymer morphology exhibits a continuous, dense phase. The size scale of the microstructure probed by light scattering techniques is an order of magnitude smaller in the latter case compared to the former case.

[L36.142] Detection of Cocontinuity in Immiscible Polymer Blends

Jeffrey Galloway, Christopher Macosko (Department of Chemical Engineering and Materials Science, University of Minnesota)

Immiscible polymer blends with a cocontinuous microstructure have a variety of potential applications. These blends can have unique combinations of mechanical properties allowing for inexpensive property improvement over homopolymers. They have also found use in specialty applications such as static dissipation in electrical housings. Cocontinuity in polymer blends is difficult to confirm experimentally. It is often detected using electron microscopy with a variety of image analysis techniques, solvent extraction, rheology, or a combination of these methods. In this study, phase continuity in polystyrene/polyethylene oxide blends was examined using AC conductivity measurements at 70^oC. Lithium perchlorate was added to the PEO phase in low concentrations (<1%) to enhance its conductivity. Solvent extraction and electron microscopy were used to confirm the results. A future goal is to correlate the structure with rheological measurements.

[L36.143] Morphology of semicrystalline/amorphous diblock copolymer on thin film

Sheng Hong, William J. MacKnight, Thomas P. Russell, Samuel P. Gido (Department of Polymer sci. and Eng., University of Massachusetts, Amherst, MA 01003)

The evolution of the morphology in thin films of poly(ethylene oxide)-b-poly(butadiene) diblock copolymers (Mw/Mn=1.04, Mn(PEO)=6000, Mn(PB)=5000) was investigated. Toluene solutions of the diblock copolymer were spin coated onto bare silicon wafers. The samples were melted at 80oC and crystallized at various temperatures and studied by optical microscopy and AFM. The following was observed. A direct ordering of lamellar domains parallel to the substrate was observed just after spin casting. A two dimensional crystallization within the PEO lamellar layers was observed retaining the lamellar morphology formed in the melt state. In addition, a depletion of the film ahead of the growth front was found. Finally, crystallization also produced pronounced cracking of the film.

[L36.144] Morphology of Covalent and Hydrogen Bonded Side Group Liquid Crystalline Block Copolymers: Orientation by Oscillatory Shear and Device Applications

Chinedum O. Osuji (Massachusetts Institute of Technology), Chiyang Chao, Christopher K. Ober (Cornell University), Edwin L. Thomas (Massachusetts Institute of Technology)

The presence of mechanical anisotropy at multiple length scales in side group liquid crystalline diblock copolymers (SG LCBCP's) allows manipulation of the overall morphology of the material through preferential interaction of external fields with the structures present in the material. In-situ SAXS and WAXS are used to follow the evolution of the morphology of covalently bonded SG LCBCP's under oscillatory shear, as a function of temperature, shear amplitude and shear frequency. Suitably chosen SG LCBCP's have shown promise as bistable electro-optic switches when properly oriented. Hydrogen bonded analogs of the SG LCBCP's have been prepared, both from block copolymer and, more importantly, from simple homopolymer precursors. We report on the characterization and control of morphology in these materials through epitaxy and oscillatory shear. The greater mobility and temperature sensitvity of hydrogen bonded mesogens affords interesting practical device applications, such as switchable polarizers.

[L36.145] Mechanical Behavior of Energetic Materials During High Acceleration

Y. D. Lanzerotti (U. S. Army TACOM-ARDEC), J. Sharma (NSWC, Carderock Div. West Bethesda, MD)

The mechanical behavior of explosives subject to high acceleration has been studied in an ultracentrifuge at -10^oC. Melt-cast TNAZ and pressed TNAZ, LX-14, Composition A3 Type II, PAX-2A, and PAX-3 have been studied. Failure occurs when the shear or tensile strength of the explosive is exceeded. The fracture acceleration of pressed TNAZ at -10^oC is about the same as the fracture acceleration of pressed TNAZ at 25^oC. The fracture acceleration of the plastic bonded explosives at -10^oC is about two times greater than the fracture acceleration of the plastic bonded explosives at 25^oC.

[L36.146] Diffusion of methanol into PMMA studied by molecular dynamics simulations

Mesfin Tsige, M. Mahajan, C. Rosenblatt, P.L. Taylor (Case Western Reserve University)

The diffusion of organic materials into polymers often causes the polymers to swell. The diffusion process then becomes non-Fickian, and this anomalous behavior has been called case-II diffusion. Another aspect of case-II diffusion is that the polymer may pass from the glassy to the rubbery state. However, this process is extremely slow and has seemed to be inaccessible to molecular dynamics techniques. We will show that it is the partial charges on the organic material that mainly controls the speed of the diffusion process. By removing the partial charges on the methanol atoms we are able to study the diffusion of methanol into PMMA in a reasonable computational time and are able to obtain useful preliminary information about case-II diffusion.

[L36.147] Molecular Modeling of the Deformation of Polymer Chains

W. W. ADAMS, R. PACHTER, B. L. FARMER (Materials and Manufacturing Directorate, Air Force Research Laboratory, Wright-Patterson Air Force Base, USA), R. J. YOUNG (Manchester Materials Science Centre, UMIST/University of Manchester, M1 7HS, UK)

The prediction of the mechanical properties of polymer chains has centered so far primarily on the use of empirical potential energy functions, which are limited by the chosen classical force-field. A theoretical evaluation of polymer chain moduli by a molecular orbital approach constitutes a continuing effort of our laboratories. In this study we report the prediction of the strain-dependence of the vibrational frequencies for PPTA as compared to experiment. A negative slope for strain-induced frequency changes in PPTA single fibers is calculated, and also observed experimentally through the use of Raman spectroscopy, of up to ca. -5 cm-1/yields a value of -13 cm-1/that this slope for PPTA fibers is proportional to Young's modulus. This may explain in part our overestimation of these slopes; the fiber is not a single crystal and the predicted modulus is also overestimated by approximately 1.5.

[L36.148] Electronic Structure and Properties of Strained Polymers

W. N. SIVAK, R. PACHTER, B. L. FARMER, W .W. ADAMS (Materials and Manufacturing Directorate, Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio 45433)

It is of interest to gain an understanding of the mechanical behavior of polymer chains at the molecular level in order to aid in the design of materials with tailored properties. In this study we examined the geometries and properties of several series of polymer molecules under strain, e.g., polyimide derivatives, using a semi-empirical quantum mechanical approach. A theoretical value of Young's modulus was calculated for each polymer, and the mechanical deformation at the molecular level elucidated. The effects of substitution on the mechanical performance of a polymer fiber were evaluated by studying changes in the geometrical and electronic parameters on the application of strain. This investigation is a step toward achieving an understanding of the mechanical behavior of polymer chains and the development of materials with improved properties.

[L36.149] Craze Growth Monitoring Using Light Scattering

Tom Krupenkin (Bell Labs, Lucent Tech., USA)

A method of real-time in situ monitoring of craze growth in polymers is suggested. The method is based on the analyses of the light scattering properties of polymer samples. A possibility of craze detection and characterization using this method is demonstrated. The initial assessment of the sensitivity of the method to the intrinsic absorption and scattering properties of the material is conducted. Several directions of the future work are briefly discussed.

[L36.150] NMR Characterization of Segmental Dynamics in Glassy Poly(alkyl methacrylate)s Using Centerband-Only Detection of Exchange (CODEX)

Tito J. Bonagamba (UMass Amherst and USP - Instituto de Fisica de Sao Carlos - Brazil), Fabio Becker-Guedes, Eduardo R. deAzevedo (UMass Amherst and USP - IFSC - Brazil), Weiguo Hu, Klaus Schmidt-Rohr (UMass Amherst)

We will present applications of a new solid-state NMR technique, CODEX, for detecting slow (0.1/s to 3000/s) segmental reorientations with the highest achievable sensitivity and site resolution, under fast magic-angle spinning (MAS) conditions. The chemical-shift anisotropy is recoupled before and after a mixing time by a sequence of rotor-synchronized 180^o radio-frequency pulses. Segmental reorientations during the mixing time result in frequency changes that dephase the magnetization and thus decrease the mobile-site signal. The correlation function is traced out by the mixing-time dependence of the intensity, while the motional amplitude can be estimated from the recoupling-time dependence. The fraction of mobile groups and the number of orientational sites is obtained from the long-time asymptotic intensity, in combination with four-time CODEX. A detailed CODEX-based characterization of the segmental dynamics associated with the beta-relaxation in glassy poly(alkyl methacrylate)s will be presented. We have quantified the fraction of flipping sidegroups as a function of the sidegroup size and characterized the slow backbone motions that are also observed.

[L36.151] Prediction of the Time-Dependent Shear Modulus of Poly(vinylidene fluoride) from Simulation and Theory

Oleksiy Byutner (University of Utah, Chemical and Fuels Engineering Dpt.), Grant Smith (University of Utah, Material Sciences and Engineering Dpt.)

We have applied the reptation model in the prediction of the linear viscoelastic properties (time-dependent shear modulus) of poly(vinylidene fluoride) (PVDF) melts over wide range of temperature and molecular weight. All structural and thermodynamic properties of the PVDF melts needed for the reptation model predictions, specifically the molecular weight and temperature dependent density, characteristic ratio and monomer friction coefficient, were determined from molecular dynamics simulations of a low-molecular weight PVDF melts using a quantum chemistry based atomistic force field.

[L36.152] Effect of Crosslinking and Morphology on Properties of Rigid-rod Polymers

Shawn Jenkins, Karl I. Jacob, Malcolm B. Polk, Satish Kumar (School of Textile and Fiber Engineering, Georgia Institute of Technology), Thuy Dang, F. E. Arnold (Polymer Branch, Air Force Research Laboratory)

Accelerated longitudinal shrinkage has been found to occur in several rigid-rod, polymeric systems at elevated temperatures. Results show that this shrinkage occurs upon reaching temperatures at which pendent cleavage, or the initial stages of carbonization, takes place. Atomistic simulation and WAXD would suggest that this shrinkage is initiated by strains occurring at the crystalline lattice level, resulting from the formation of intermolecular crosslinks. Various crosslinking reactions have been discussed. Atomistic simulation results suggest that shrinkage can be avoided by controlling the type of crosslink formed in these systems. Thus, attempts to crosslink dimethyl-pendent poly(p-phenylene benzobisthiazole) via electron radiation at room temperature, as well as at elevated temperatures, have been made. Results of these studies will be presented.

[L36.153] Structure and Properties of a Hydrogen Bonded, Rigid-rod Polymer - Methyl Pendant PBI

Shawn Jenkins, Karl I. Jacob, Malcolm B. Polk, Satish Kumar (School of Textile and Fiber Engineering, Georgia Institute of Technology), Thuy Dang, F. E. Arnold (Polymer Branch, Air Force Research Laboratory)

In an attempt to evaluate the effect of intermolecular hydrogen bonding on compression and transverse properties of rigid-rod polymeric fibers, methyl pendant poly (p-phenylene benzobisimidazole) (MePBI) was synthesized and spun into fibers. The hydrogen bonding in MePBI, as measured by infrared spectroscopy, is present at temperatures as high as 400 C. The fiber crystal structure has been determined, using WAXD and molecular simulation, which also shows significant hydrogen bonding within the system. The compressive strength of both as-spun and heat-treated fibers, measured from the recoil test, was found to be 800 MPa. MePBI also shows an increase in torsional modulus and loop strength, as compared to other methyl-pendant, rigid-rod systems. The temperature dependence of fiber tensile, torsional and bending properties will be reported. A correlation between intermolecular bonding strength, as measured by ab initio simulations, and compressive strength will also be presented.

[L36.154] Influence of local segmental motions on diffusion of small molecules through glassy polymers

Vijay Natarajan, Albert F. Yee (Materials Science and Engineering, University of Michigan, Ann Arbor, MI 48109-2136)

Designing permselective polymers requires better fundamental understanding and control over the underlying diffusion processes. To understand how molecular motions influence diffusion, we have studied a unique series of bisphenol A polycarbonates modified with cyclohexane linkages in the backbone. The goal of this research is to determine how chair-boat-chair conformational transitions of the cyclohexane units and the coupled motions with neighboring segments influence permeability and diffusivity. We attempt to correlate the diffusion behavior to hole fraction and the magnitude of local segmental motions as well as the type of penetrant used. We found an increase in permeability when local molecular motion is enhanced in polymers with the same hole fraction as determined by positronium annihilation. This observation apparently contradicts free volume arguments. Different types of penetrants have also been used to test the hypothesis that large scale cooperative motions of polymer segments open up pathways through which small molecules can diffuse. This work is supported by NSF Grant DMR 9971569.

[L36.155] Crystal Modulus of Silk Fibers: Bombyx mori

Anuchai Sinsawat, R. K. Eby (Dep't of Polymer Science, U. of Akron), Ruth Pachter (Materials and Manufacturing Directorate, AFRL)

Silk is of interest due to its respectable mechanical properties. These are expected to be influenced by the crystalline properties such as crystal modulus. X-ray diffraction with the assumption of uniform stress has been used for determining the crystal modulus. The values for silk fibers are reported to be approximately an order of magnitude lower than those obtained by computational modeling. This difference is outside the limit of experimental and computational error and reflects some conceptual error. We are re-determining the modulus both experimentally and computationally in an improved manner. For the X-ray method, this includes making measurements of fibers with various degrees of crystallinity and orientation. Extrapolations of the modulus to 100crystallinity and perfect orientation yield 98±10 GPa and 70±14 GPa, respectively. For the computational calculation, molecular dynamics are being used with periodic boundary conditions. The frequency of the longitudinal acoustic mode will be determined and used to calculate the modulus. Stiffness matrix and stress-strain calculations are also being made.

[L36.156] Adhesive Properties of Model, Filled Elastomeric Adhesives

Peter Drzal, Elizabeth Cheang, Kenneth Shull (Northwestern University)

Adhesive properties of a model, filled elastomeric adhesive are measured using an axisymmetic adhesion test with a rigid glass indenter. Experiments with poly(methyl methacrylate)-poly(n-butyl acrylate)-poly(methyl methacrylate) triblock copolymer films are conducted with two types of complementary experiments to resolve the surface and bulk contribution to the adhesive behavior. In the first set of experiments, thermally evaporated gold particles are deposited onto the triblock copolymer to yield gold coatings with equivalent thicknesses of 100 nm or less. The axisymmetric adhesion test is used to measure the force required to separate the glass indenter from the gold coated triblock copolymer substrates. The work of adhesion decreases with increasing thickness of the gold coating. This result is attributed to a reduction in the true area of contact between the indenter and the adhesive upon the addition of the metal particle layer. In the second set of experiments, effects of rigid particles on the bulk mechanical properties and adhesive response are probed by adding spherical aluminum oxide particles to the adhesive. In both sets of experiments, approaches based on linear elastic fracture mechanics are used to quantify the adhesive response.

[L36.157] Viscoelasticity of Ethylene-Styrene Interpolymers: Molecular Interpretation

Eugene Stepanov, Hong-Yu Chen, Anne Hiltner, Eric Baer (Case Western Reseve University), Center for Applied Polymer Research Collaboration

Amorphous ethylene-styrene interpolymers synthesized by a metallocene catalyst are viewed as statistical copolymers of ethylene and ethylene-styrene dyads. These macromolecules were shown to have a flexibility of polyethylene, which offers the unusual opportunity to characterize the amorphous phase of polyethylene without the constraints imposed by crystallinity. Creep, both linear and non-linear relaxation as well as recovery were studied in the broad range of temperatures. The creep and linear relaxation data showed time-temperature superposition. The creep and relaxation master curves were analyzed as functions of molecular weight and comonomer content. Linear relaxation of this polydisperse system was amendable to description in terms of both reptation (Doi-Edward's) and double reptation (des Cloizeaux's) theories if appropriate blending rules were taken into consideration. However, the double reptation theory described the data in terms of the relaxation spectrum better, with fitting parameters consistent with other experiments. The non-linear relaxation data gave experimental values of the damping function in excellent agreement with Doi-Edward's theory. A model of two co-existing networks for instantaneous recovery after stress relaxation was developed further in order to incorporate concepts of reptation theory.

[L36.158] Adhesion and Stress Relaxation of Coalesced Latex Blends

E. Fabbroni, K.R. Shull (Northwestern University), A.C.I.A. Peters (NeoResins)

The mechanical and adhesive properties of coalesced latex blends are of interest due to their applicability in several areas, including commercial adhesives and latex paints. We have tested the mechanical and adhesive behaviors of latex coatings formed by coalescence in water. The coatings are composed of two latex systems, a softer system with a particle size of 57nm, and a harder system with a particle size of 268nm. By varying the proportion of soft particles (Tg = -30 C) to hard particles (Tg = 20 C) in dispersions, we are able to show a relationship between the volume fraction of the hard latices and the effective work of adhesion. This behavior can be studied through use of an extension of the JKR method for adhesive testing. In the JKR method, a rigid hemispherical indenter is brought into contact with the coating, and we measure the resultant adhesion . We have also obtained relaxation data for the latex blends by fitting experimental data to multi-element Maxwell model. We find that very low volume fractions of the soft particles significantly influence stress relaxation, but that larger volume fractions are required to noticeably affect the adhesive behavior.

[L36.159] Molecular Motions During Physical Aging in Polystyrene

C.L. Thompson, M.D. Ediger (University of Wisconsin-Madison, Department of Chemistry)

A photobleaching method has been used to observe the segmental dynamics of a polystyrene melt during isothermal physical aging. Segmental motions were monitored indirectly through the motion of rigid tetracene molecules dispersed in the polystyrene matrix. Both rotational and translational diffusion measurements were performed. Following a temperature quench to below T_g, either probe rotational relaxation from an induced anisotropic state, or translational diffusion across a holographic grating, was periodically measured as a function of aging time. Rotation times changed by nearly an order of magnitude during aging, and down and up temperature jumps showed the expected asymmetry due to the nonlinearity of the aging process. The equilibration times and the relative rates of approach towards equilibrium for the two experiments will be presented. These equilibration times (10^2-10^5s) for the temperatures investigated (T_g-3K-T_g-7K) are the same order of magnitude as equilibration times for other techniques used to monitor physical aging, such as volume and enthalpy relaxation.

[L36.160] Neutron scattering study of electron-irradiated P(VDF-TrFE)

Edward Balizer (NSWC/Carderock Div/West Bethesda, MD), Aime DeReggi (Polymers Div/NIST/Gaithersburg, MD), Dan Neumann (Center Neutron Research/NIST/Gaithersburg, MD), Fred Bateman (Radiation Physics Division/NIST/Gaithersburg, MD)

Neutron scattering from electron beam irradiated and unirradiated samples of the VDF-TrFE copolymer with a composition of (50-50) weight % was measured as a function of temperature in a range encompassing the glass transition (233 K) and the Curie transition (343 K). The unirradiated copolymer shows well-defined diffraction peaks for two lattice spacings (4.60 and 4.73 angstroms at 300 K). These spacings both increase with temperature up to 330 K where the peaks go into a single peak with a definite increase in spacing (4.90 angstroms at 344 K) consistent with a ferroelectric-to-paraelectric transition. The irradiated copolymer shows only a single peak from 213 K to 373 K for a generally larger lattice spacing (4.86 angstroms at 300 K) with a monotonic increase with temperature matching the paraelectric dependence. The spacing is increased by increased temperature or increased dose. Modulated DSC heating and cooling cycles show broadening and depression of the ferroelectric transition with irradiation accompanied by a distribution of lower melting (i.e. smaller size) crystallites.

[L36.161] Star vs Linear ABC Block Copolymer Self-Assembly

Eric Flewelling, Glenn H. Fredrickson, Francois Drolet (University of California, Santa Barbara)

We compare star and linear ABC block copolymer self-assembly, as well as screen for new mesophases in both systems, by means of self-consistent mean field theory. The self-consistent field equations were solved in real space within a simulation box with periodic boundary conditions. For each type of chain architecture, the parameter space defined by the volume fractions of blocks A and B was systematically explored for three different sets of Flory parameters. In total, over 400 independent quenches were performed. The study yielded several new microstructures which are presented.

[L36.162] Polymerization-Induced Phase Separation in Vinyl Ester Resins

Manisha Ganglani, John Torkelson, Stephen Carr (Northwestern University)

In certain multi-component, crosslinking polymer systems, phase separation is induced by polymerization, a process call polymerization-induced phase separation (PIPS) in which there exists a competition between reaction rate and phase separation rate. The final morphology and properties of a system that experiences PIPS depend on the outcome of this competition. Thus, by controlling these rates, it would be possible to control end properties. In fact, this theory has been applied for the creation of polymer-dispersed liquid crystals (PDLCs) where cure occurs via condensation reactions or via free radical polymerization initiated by UV light. This research examines PIPS in the vinyl ester (VE) resins, which are popular as matrix materials in polymer composites. Cure of the VE resins is more complicated because it uses initiators and therefore requires more time and offers less control than cure by photopolymerization. To better understand the PIPS process in the VE resins, this research separates the two competitive effects and examines each one in turn. Initial experiments use a model system to focus on the effect of PIPS in the absence of crosslinking.

[L36.163] SIMS studies of Finite Film Thickness Effects on Polymer and Probe Diffusion in Free-Standing Ultra-Thin Polymer Films

Ankit Patel (University of Maryland), Chris White, Wen-li Wu (NIST), Yuxie Pu, M. Rafailovich, J. Sokolov (Stony Brook University)

Polymer films with thickness commensurate with the size of the polymer molecule have shown deviation from expected bulk behavior. A Brillouin light scattering study of free-standing, ultra-thin polymer films has reported changes of up to 70 degrees K in the glass transition temperature, Tg. Using secondary ion mass spectrometry (SIMS), we have measured diffusion coefficients of ultrathin, free-standing polystyrene films in order to determine Tg. Both fluorescence probe and deuterated polymer diffusion were simultaneously monitored using bilayered films. The top layer was composed of 0.1 mass ratio of 1,8-dibromopyrene in 1 MMw polystyrene, and the bottom layer consisted of 0.2 mass ratio 20,000 Mw, deuterated polystyrene in 1 MMw polystyrene. Films were annealed in a range of film thicknesses and temperatures spanning the expected Tg range for ultrathin films. Data was fit to Fickian diffusion profiles to determine diffusion coefficient. It has been shown that above Tg, diffusion coefficient scales according to the WLF equation. Below the glass transition, it has been found that diffusion coefficient exhibits an Arrhenius-type dependence. Using these characteristics, it was possible to observe the dependence of diffusion coefficient on finite film thickness and determine the behavior of Tg as a function of film thickness.

[L36.164] Anisotropy in a DH\alphaMS Copolyester LC Polymer

Robert Bubeck, James Brewbaker (Michigan Molecular Institute, Midland, MI 48640)

Considerable flow-induced anisotropy is caused in thermotropic liquid crystalline polymers (TLCP's) during injection molding. A new dihydroxy-a-methylstilbene (DH\alphaMS) copolyester of terephthalatic, isophthalatic, and 2,6-naphthalenedicarboxylic acids has been evaluated in injection molded form. The expected anisotropy was observed with moduli ranging from 1.8 to 4 Msi parallel to and 200 to 600 ksi perpendicular to the flow direction. Tensile strengths in the range of 21 to 28 ksi were observed parallel to and as low as 3.6 ksi perpendicular to the flow direction. Mechanical properties increased in both the flow and transverse directions with lower melt and mold temperatures. Fracture initiation (K_Q) was found to be relatively independent of Mw (by IV), but the rate of change in energy for fracture, J*, parallel to the flow direction was found to increase with increasing Mw. Transverse to the flow direction, energy to break was favored by lower Mw. The work suggests that processing parameter optimization can minimize the effects of anisotropy in TLCP's. -- Acknowledgments: S. E. Bales (retired), M. A. Barger, M. T. Bishop, R. Drumright, M. Lapham (all of Dow Chemical).

[L36.165] Stabilization and carbonization of mesophase pitch nanofiber

Hao Fong, Darrell H. Reneker (Maurice Morton Institute of Polymer Science, The University of Akron, Akron, OH 44325-3909)

Mesophase pitch nanofibers were made with diameters of several hundred nanometers to a few microns. Thermogravimetric analysis showed the stabilization reaction in air began at a temperature below 200^oC, and produced a 6% weight gain. Changes intensity of aliphatic C-H (2850-3000 and 1400-1450 cm-1) and carbonyl -CO- (1690-1750 cm-1) peaks in Fourier transform infrared spectra were observed as a result of stabilization. The intensities of aryl alkyl ether peaks at 1200-1275 cm-1 increased with stabilization in air. Solid state NMR results confirmed these changes. Carbonization in inert gas began when the temperature reached 300^oC. There was a 25% weight loss during the carbonization. Element analysis showed that the only carbon remained. The structures of pitch nanofibers, stabilized nanofibers and the resulting carbon nanofibers were investigated with scanning electron microscopy, transmission electron microscopy and X-ray diffraction.

[L36.166] Time-dependent Orientational Coupling in Uniaxially Stretched Bimodal Melts: A Molecular Dynamics Study.

Marc P. Pepin, Gary W. Slater (University of Ottawa)

Orientational coupling due to steric repulsion in bimodal melts consisting of uniaxially stretched long and short polymers has been observed recently in Nonequilibrium Molecular Dynamics Simulations. In this is study, we present a Molecular Dynamics study of orientational coupling in dissimilar but homogeneous melts. In particular, we investigate the effects of steric repulsion in melts which have two species of polymers having different monomer sizes and different stiffness. We also investigate chain end effects in system with triblock polymers composed of stiff or flexible ends.

[L36.167] Dynamics of Fibrillation in Polymer Fibers

Andrew Guenthner, Thein Kyu (The University of Akron)

The dynamics of fibril formation, skin-core morphology development, and surface roughening in wet-spun fibers containing polymers subject to evaporation of solvent are examined. Recent simulations of morphology development based on the Kato-Matsuyama free energy for semi-rigid linear polymers combined with solvent removal and unidirectional stretching effects have captured all of the above-mentioned phenomena. Analysis of the results shows that fibrillation takes place due to unstable phase separation coupled with orientational ordering. Moreover, fibrillation has been found to proceed in a manner analogous to the phenomenon of target or spiral wave break-up, which is commonly observed in nonlinear dynamics.

[L36.168] Heat Capacity of Sr_3CuPt_xIr_1-xO_6

Tom Sangrey, Stephen Irons, Kara Beauchamp (Dept. of Physics, Wesleyan University, Middletown, CT), Mark Smith, Hanno zur Loye (Dept. of Chem. and Biochem., U. of S. Carolina, Columbia, SC)

A continuing investigation of the series Sr_3CuPt_xIr_1-xO_6, which has been proposed as a likely example of the Random Quantum Spin Chain Theory (RQSC), is presented. This series consists of a dilution of the two isostructural compounds Sr_3CuPtO_6 (AF) and Sr_3CuIrO_6 (FM) whose mixture yields an approximately linear chain of randomly distributed ferromagnetic and antiferromagnetic bonds. Recent results of the AC magnetic susceptibility for the series Sr_3CuPt_xIr_1-xO_6 show a variety of interesting and unexpected behavior that departs from the novel low-temperature Curie-like behavior predicted by the RQSC model. In particular, susceptibility measurements for x=1 show evidence of long-range ferromagnetic ordering. An attempt to accurately deduce the exponents for the critical region(s) using the susceptibility measurements alone has led to ambiguous results. Heat capacity data for the series Sr_3CuPt_xIr_1-xO_6 will presented along with further analysis and exploration of the critical behavior.

Part L of program listing