Exact limiting relation between the structure factors in neutron and x-ray scattering

Details Exact limiting relation between the structure factors in neutron and x-ray scattering Exact limiting relation between the structure factors in neutron and x-ray scattering

2010-07-11

arxiv.org/abs/1007.1758v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, no figures

Scientific paper

The ratio of the static matter structure factor measured in experiments on coherent X-ray scattering to the static structure factor measured in experiments on neutron scattering is considered. It is shown theoretically that this ratio in the long-wavelength limit is equal to the nucleus charge at arbitrary thermodynamic parameters of a pure substance (the system of nuclei and electrons, where interaction between particles is pure Coulomb) in a disordered equilibrium state. This result is the exact relation of the quantum statistical mechanics. The experimental verification of this relation can be done in the long wavelength X-ray and neutron experiments.

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