2007
DOI: 10.1107/s0108767307023720
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X-ray resonant magnetic scattering: polarization dependence in the non-spherical case

Abstract: A simple tensorial contraction method has been developed to obtain analytical formulae for X-ray resonant magnetic scattering. First, the method has been applied considering electric dipole-dipole and electric quadrupole-quadrupole scattering in the isolated-atom approximation. The results have been compared with previous work. The same method has then been extended to non-spherical systems by deriving new phenomenological formulae.

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Cited by 5 publications
(6 citation statements)
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“…1 and 2 cannot be attributed to E2 scattering. Also, E1-E2 scattering can be ruled out as this can only occur at satellites around odd values of l. 6 We therefore conclude that the experimentally observed π →σ scattering is predominantly of E1 origin. The insets of Figs.…”
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confidence: 60%
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“…1 and 2 cannot be attributed to E2 scattering. Also, E1-E2 scattering can be ruled out as this can only occur at satellites around odd values of l. 6 We therefore conclude that the experimentally observed π →σ scattering is predominantly of E1 origin. The insets of Figs.…”
mentioning
confidence: 60%
“…4 This model was later rewritten explicitly in terms of the angular dependences 5 with the approximation of spherical symmetry and more recently to include the noncentrosymmetric case applicable to all of the hexagonal close-packed heavy rare earths. 6 In early x-ray spectroscopic studies, 2,3,[7][8][9][10][11][12] the lower-energy peaks were generally interpreted as E2 and the higher energy ones as E1, due to the predicted polarization and angular dependences of the observed features.…”
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confidence: 99%
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“…The (0 0 2n±τ) reflections were analyzed in the theoretical framework of a spherical magnetic atom [23,24]. Only the final equations are presented in this section.…”
Section: Total X-ray Scattering Cross-section (Tmcs)mentioning
confidence: 99%
“…In that respect, we show in this article that it is possible to recover the XMCD spectrum by using the imaginary part of the resonant scattering factors and thus to extract the energy dependence of both E1 and E2 contributions that compose it. Knowing the exact position of the pure electric E1 and E2 transitions can also aid understanding of new phenomena that originate from E1-E2 scattering in non-centrosymmetric systems [24] (to be addressed in the future).…”
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confidence: 99%