We demonstrate the utility of point group representation theory for symmetry analysis in resonant inelastic x-ray scattering. From its polarization-dependence, we show that a 5 eV inelastic feature in Sr2CuO2Cl2 has pure B1g symmetry and assign it to a transition in the cell-perturbation calculations of Simon, et. al. [Phys. Rev. B., 54, R3780 (1996)]. We discuss how Raman selection rules are broken at nonzero momentum transfer and how this can also act as a probe of wave function symmetry.
@article{arxiv.cond-mat/9911215,
title = {Selection Rules for Resonant Inelastic X-Ray Scattering from Tetragonal Copper-Oxides},
author = {P. Abbamonte and C. A. Burns and E. D. Isaacs and P. M. Platzman and L. L. Miller and M. V. Klein},
journal= {arXiv preprint arXiv:cond-mat/9911215},
year = {2007}
}