A model of the crystal polarization of beta-poly(vinylidene fluoride)
utilizing an atomic potential energy function based on the shell model
of electronic polarization is developed. Lattice constants, crystal p
olarization, and dielectric constants at finite temperatures are deter
mined through minimization of the Gibbs free energy calculated using c
onsistent quasi-harmonic lattice dynamics. Molecular dynamics is used
to include the effects of thermal oscillations of the dipoles. We find
that in going from a single chain in vacuum to a chain packed in the
crystal the repeat unit dipole increases by approximately 50% or 0.9 d
ebye. Increasing temperature results in a decrease in polarization due
to: (i) an increase in the unit cell volume, (ii) a decrease in the l
ocal electric field, and (iii) an increase in the magnitude of dipole
oscillations. It is found that the dipole oscillation is consistent wi
th the excitation of a single rotational lattice mode. (C) 1995 Americ
an Institute of Physics.