Cross-section and selection rules in surface enhanced hyper Raman scattering

TL;DR

This paper derives the expression for the surface-enhanced hyper Raman scattering cross-section of symmetrical molecules using dipole-quadrupole theory, highlighting the role of selection rules and enhancement mechanisms.

Contribution

It introduces a theoretical framework for calculating SEHR cross-sections considering dipole and quadrupole moments, and classifies contributions based on enhancement levels.

Findings

Quadrupole enhancement coefficients can reach significant values.

Contributions follow specific selection rules.

Classification of contributions by enhancement degree.

Abstract

The expression for the SEHR cross-section of symmetrical molecules within the framework of the dipole-quadrupole theory is obtained. It is formed by contributions, which depend on various dipole and quadrupole moments. Estimation of the enhancement coefficients for the quadrupole enhancement mechanism in some limited case can achieve the value . It is demonstrated that the contributions follow some selection rules. Qualitative classification of the contributions after the enhancement degree is given.