Note on the Chandrasekhar Model of the Optical Activity of Crystals

TL;DR

This paper extends the Chandrasekhar model to include all couplings between oscillators in a crystal's helix, demonstrating their significant impact on optical rotatory dispersion.

Contribution

It provides a more comprehensive application of the Chandrasekhar model by incorporating all relevant couplings in the crystal structure.

Findings

Couplings between oscillators significantly influence optical rotatory dispersion.

Including all couplings improves the model's accuracy.

The extended model aligns better with experimental data.

Abstract

In this paper we discuss more wide applicability of the Chandrasekhar model of coupled oscillators in the optical rotatory dispersion of the crystals. We solve the problem using the Chandrasekhar model of two coupled oscillators in the case when we include all couplings between adjacent oscillators on the helix that is given by the crystal structure. Further we discuss the results of coupled oscillators models in the case of the including of the couplings between even and odd oscillators on the helix. The optical rotatory dispersion results obtained after the approximations of the oscillator strengths verify that these couplings have the important influence on the crystal optical rotatory dispersion.