Hyperpolarizability of Helical Polymer Molecules and the Sampling of the ir-Active Optical Phonon Dispersion Curves

Abstract
The selection rules for the inelastic three-photon scattering of light by helical molecules is obtained from group theoretical analysis. It is shown that the dispersion curve (frequency vs wave vector) for ir-active optical phonons may be sampled at four points throughout the Brillouin zone by measuring the frequency of the scattered light as a function of the polarization of both the incident (laser) and the scattered light provided that proper orientation of the laser light relative to the helix axis is maintained.

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