Abstract
A theory is presented for calculating rigorous upper and lower bounds for the dielectric constant of a semi-crystalline polymer in terms of the volume fraction of crystalline phase, the dielectric constant of the liquid phase and the anisotropic dielectric tensor of the crystalline phase. Also required are two orientation functions and where θ defines the tilt of crystal lamellae and α the orientation of the electric moment of each crystal with respect to the measuring field. Bounds are presented for polyvinylidene fluoride for a variety of orientations.

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