Bond and Molecular Polarizability Tensors. I. Mathematical Treatment of Bond Tensor Additivity

Abstract
A general equation is obtained for the polarizability tensor of a molecule, considering the molecular tensor to be constructed from bond tensors. Bond‐by‐bond transformations of the bond tensors are used, so that the general equation involves bond angles and angles describing internal rotations. For tetrahedral hydrocarbons and their derivatives, the general equation reduces to simple forms. It is shown that the theory provides a simple method for the calculation of molecular anisotropy.