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Автор Stephen W Lovesey
Автор Oliver Fritz
Автор Ewald Balcar
Дата выпуска 1998-01-19
dc.description The electric quadrupole contribution to the scattering length is derived using an atomic model for the resonant ion. At one of the levels of approximation considered, our so-called idealized scattering length is totally consistent with the standard sum rules for the analysis of the attenuation coefficient. A superior estimate of the scattering length includes the structure of the core state. The two levels of treatment are used to discuss the intensity of x-rays Bragg diffracted by resonant lanthanide ions in a crystal. Using a ground state for the valence shell specified by Hund's rules, explicit expressions for the idealized scattering length are tabulated for the tripositive ions. The general expressions for the scattering length can be evaluated for a valence-shell wave function of an arbitrary complexity. Thus, our scattering lengths can accommodate the influence of a crystal-field potential or a full multiplet calculation. Linear and circular polarization in the primary and secondary beams of x-rays are handled in terms of a Stokes vector, and several illustrative calculations are given.
Формат application.pdf
Издатель Institute of Physics Publishing
Название A theory of magnetic x-ray diffraction enhanced by an electric quadrupole (E2) resonance
Тип paper
DOI 10.1088/0953-8984/10/2/028
Electronic ISSN 1361-648X
Print ISSN 0953-8984
Журнал Journal of Physics: Condensed Matter
Том 10
Первая страница 501
Последняя страница 524
Выпуск 2

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