Hitchhiker's guide to multiplet calculations
Hitchhiker's guide to multiplet calculations
复制标题
多重态计算搭便车指南
DOI：
10.1007/3-540-33242-1_7
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
G. Laan
中科院分区：
文献类型：
--
作者：
G. Laan
通过高分辨率同步加速器辐射获得的局域磁系统（例如 3d 过渡金属化合物或稀土）的核心能级光谱可以通过计算从基态到允许的最终状态（例如3d" → 2p 5 3d n+1 。这里介绍的是 X 射线吸收、光电发射和 X 射线共振磁散射的二向色谱计算背后的角动量耦合理论、Racah-Wigner 代数、点群理论和多极矩展开。本章第一部分回顾了多重态理论的标准结果，并概述了 Cowan-Butler-Thole 方法。最后一部分介绍了一些更高级的主题，例如由不同电场和磁多极场之间的干扰引起的 X 射线旋光性，以及将二向色光谱的矩分布与有效算子联系起来的统计矩分析方法。
Core level spectra from localized magnetic systems, such as 3d transition metal compounds or rare earths, obtained with high resolution synchrotron radiation can be simulated theoretically by calculating the transitions from the ground state to the allowed final states, e.g. 3d" → 2p 5 3d n+1 . Presented here is the angular momentum coupling theory, Racah-Wigner algebra, point group theory and multipole moment expansion behind such calculations for the dichroic spectra of x-ray absorption, photoemission and x-ray resonant magnetic scattering. The first part of this chapter reviews the standard results of multiplet theory and surveys the Cowan-Butler-Thole approach. The last part presents some more advanced topics, such as the x-ray optical activity, which is induced by interference between different electric and magnetic multipole fields, and the method of statistical moment analysis, which relates the moment distribution of the dichroic spectra to effective operators.'