Abstract
Selection rules are derived for second-order infrared absorption and Raman scattering by any crystal lattice possessing inversion symmetry. The case considered is that where the equal and opposite wave vectors of the two phonons involved are at general points in the Brillouin zone having only pure translations in their wave-vector groups. It is found that the space-group symmetry imposes a selection rule forbidding the participation of two-phonon overtone states in infrared absorption.

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