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arXiv 1302.4816cond-mat.str-el
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共振非弹性X射线散射的角度依赖性:球面张量展开

Angular dependence of resonant inelastic x-ray scattering: a spherical tensor expansion

Amélie Juhin, Christian Brouder, Frank De Groot

摘要:

球张量展开进行表示的共振非弹性散射截面的总和的产品的基本光谱与张量涉及波矢量和偏振矢量的入射和散射光子。本文提出的表达式不同于Carra等人的有影响力的文章(Phys. Rev. Lett. 74,3700,1995),因为当将每个光子耦合到其自身时,它没有省略电偶极子和四极贡献之间的干涉项。讨论了球面张量展开的一些特殊情况。例如,各向同性样品的情况下被认为是和横截面表示为只有三个基本光谱的组合的情况下,电偶极子或电四极跃迁的吸收过程中,其次是电偶极子跃迁的发射。这种情况包括无纹理粉末样品的情况,这对应于实验中遇到的最常见的情况。最后,它是预测,一些圆二色性可以观察到各向同性的样品提供的散射光束的圆偏振可以检测。

英文摘要:

A spherical tensor expansion is carried out to express the resonant inelastic scattering cross-section as a sum of products of fundamental spectra with tensors involving wavevectors and polarization vectors of incident and scattered photons. The expression presented in this paper differs from that of the influential article by Carra et al. (Phys. Rev. Lett. 74, 3700, 1995) because it does not omit interference terms between electric dipole and quadrupole contributions when coupling each photon to itself. Some specific cases of the spherical tensor expansion are discussed. For example the case of isotropic samples is considered and the cross-section is expressed as a combination of only three fundamental spectra for the situation where electric dipole or electric quadrupole transitions in the absorption process are followed by electric dipole transitions in the emission. This situation includes the case of untextured powder samples, which corresponds to the most frequent situation met experimentally. Finally, it is predicted that some circular dichroism may be observed on isotropic samples provided that the circular polarization of the scattered beam can be detected.

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