Two calculation methods which can estimate the birefringence of oriented polymers based on their structures were studied. Birefringence of polymers can be quantitatively measured by observation of the light retardation through a film which is oriented under constant load and constant draw ratio. Birefringence of completely elongated polymer chains was calculated from the anisotropy of the refractive index, which was determined from molar volume (
V) and anisotropy of polarizability (
P). To obtain the polarizability, two methods were tried. One came from the vector summation of bond polarizability, another was based on the result of semi-empirical molecular orbital calculation MOPAC. Both methods gave good correlation with the experimental results. The molecular orbital method had less dependence on parameters or initial geometry, but it required more calculation than the contribution method. The concept of “Cross-Planer Aromatic Group” can be a guiding principle for design of low birefringence polymers.
View full abstract