Dielectric Models for Porous Adsorbent – Adsorbate Systems

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Abstract
Equations are derived for the dielectric constant of porous adsorbent – adsorbate systems based on several geometrical models and taking account of both adsorbate molecular orientation and the special geometrical relationship which exists between adsorbed and substrate phases. Isotropic distributions of coated spheres, rods, disks, and their cavity counterparts are treated. Although the equations are based on the above idealized physical models, unlike many previous derivations, no additional intuitive postulates are involved. Furthermore, the equations are correct in the various limiting cases in which two of the three phases are absent, again in contrast with some earlier equations. Some implications of the equations are discussed, particularly as they apply to molecular orientation. The question of a break in the curve of composite dielectric constant vs. volume adsorbed at monolayer coverage is also investigated.

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