Abstract
An expression is given for the induction energy of an arbitrary assembly of polarizable molecules, each described by distributed multipoles and polarizabilities up to arbitrary order. In a self-consistent treatment, the induced moments of each molecule are determined by the field arising from the polarized moments of the others, but the induction energy is obtained as the interaction between the induced moment of each molecule and the unpolarized moments of the others. Comparison of the classical result with quantum-mechanical perturbation theory shows that the self-consistent induction energy corresponds to the inclusion of some, but not all, of the terms in a perturbation expansion to infinite order.
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