We have found that the polarization dependence of the Raman signal in organic
crystals can only be described by a fourth-rank formalism. The generalization
from the traditional second-rank Raman tensor R is physically
motivated by consideration of the light scattering mechanism of anharmonic
crystals at finite temperatures, and explained in terms of off-diagonal
components of the crystal self-energy. We thus establish a novel manifestation
of anharmonicity in inelastic light scattering, markedly separate from the
better known phonon lifetime.Comment: 31 pages, 17 figure