Multipolar polarizabilities linear molecules

The excess collision-induced pair polarizability of molecules A and B results as a self-consistent solution of a set of equations for local fields polarizing molecules A and B and the multipolar moments induced in molecules A and B. In a first approximation, the long range field-induced change in the pair polarizability, related to the linear multipolar polarizabilities of molecules, is [27] ... 

In many a case, when calculating for multipolar molecules, one is justified in neglecting the anisotropy of linear electric polarizability, leading in general (Kielich" ) to the formula ... 

Some time ago we contributed to the development of the irreducible spherical tensor multipolar theory of light scattering [13,28], According to Ref. 13, the M component of the A th-rank dipole-arbitrary order multipole linear polarizability of a pair of interacting molecules A and B reads as... 

Taking the Intermolecular potential in a liquid as decomposable into a sum of a repulsive potential depending only on nuclear coordinates and the Coulomb potential between the electronic and nuclear charges of different molecules, the latter taken as a perturbation to a classical liquid with a purely repulsive Intermolecular potential, one can perform a quantum perturbation expansion of the trace of the statistical operator exp(- H) and similarly expansions of the thermally averaged, imaginary time displaced, molecular charge correlation functions pO, t )>. The individual terms in the expansions consist of multipolar interaction tensors and functionals of molecular polarizabilities of various orders. Summation of all terms depending only on linear molecular polarizabilities lead to ... 

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