A THEORETICAL FRAMEWORK FOR ABSORPTION (DICHROISM) AND THE RESONANCE-ENHANCED SCATTERING OF X-RAYS BY MAGNETIC-MATERIALS .3. CONTRIBUTIONS FROM ATOMIC SPINS
Sw. Lovesey et E. Balcar, A THEORETICAL FRAMEWORK FOR ABSORPTION (DICHROISM) AND THE RESONANCE-ENHANCED SCATTERING OF X-RAYS BY MAGNETIC-MATERIALS .3. CONTRIBUTIONS FROM ATOMIC SPINS, Journal of physics. Condensed matter, 9(20), 1997, pp. 4237-4260
A report is given of a study of the resonant contribution to the scatt
ering length for x-rays, evaluated using an atomic picture of the elec
trons. Armed with the scattering length one can calculate the attenuat
ion coefficient, dichroic signal and cross-sections for the elastic an
d inelastic scattering of x-rays by magnetic materials. The formulatio
n is more finely honed than the one used in two previous studies. The
additional information in the scattering length relates to the spins o
f the electrons in the unfilled valence shell. For the d(n) and f(n) c
onfigurations, tables of Racah unit spherical tensors are provided for
ground states determined by Hund's rules.