2008
DOI: 10.1088/0953-4075/42/2/023001
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Concepts in x-ray physics

Abstract: A basic introduction to the theory underlying x-ray processes is provided. After general remarks on the practical advantages of using x-rays for probing matter, the derivation of the minimal-coupling Hamiltonian within nonrelativistic quantum electrodynamics is outlined. Perturbation theory is reviewed and applied to describe x-ray-induced processes. In connection with x-ray absorption, inner-shell binding energies and the photon energy dependence of the x-ray absorption cross section are discussed. In the con… Show more

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Cited by 61 publications
(75 citation statements)
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“…The refraction effect could be taken into account by employing the dynamical theory of diffraction, which treats the refraction explicitly and results in a shift of Laue point that depends on the refractive index of the crystal [18]. Denote the refractive index as w = -¢ -¢¢ ( ) n n n 1 i , where ¢ < n 0 for optical photons, the refractive index has a relation with the electric susceptibility w p c = + ( ) n 1 4 [19], and χ can be determined by ab initio means for each atomic species at a given wavelength. From the detailed derivation presented in appendix B (equations (B.1)-(B.24)), as the optical photons scatter off lattice planes of inter-plane distance…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The refraction effect could be taken into account by employing the dynamical theory of diffraction, which treats the refraction explicitly and results in a shift of Laue point that depends on the refractive index of the crystal [18]. Denote the refractive index as w = -¢ -¢¢ ( ) n n n 1 i , where ¢ < n 0 for optical photons, the refractive index has a relation with the electric susceptibility w p c = + ( ) n 1 4 [19], and χ can be determined by ab initio means for each atomic species at a given wavelength. From the detailed derivation presented in appendix B (equations (B.1)-(B.24)), as the optical photons scatter off lattice planes of inter-plane distance…”
Section: Resultsmentioning
confidence: 99%
“…We show that the frequency independent Thomson scattering stays intact for both regimes, and the frequency dependent Rayleigh scattering in the optical regime is equivalent to the dispersive corrections of form factor in the x-ray regime. We apply the Hamiltonian for photon-electron interaction under velocity gauge [19] a are the field operators for the electron and photon fields.  k , ω,   are the momentum, frequency and polarization vector of the photon.…”
Section: Appendix a Thomson And Rayleigh Scattering In The Optical Amentioning
confidence: 99%
“…The basic framework can be found in Ref. [25]. All formulas below can be derived with standard angular-momentum algebra [26].…”
Section: Theory and Numerical Detailsmentioning
confidence: 99%
“…Within a few femtoseconds, this core hole is usually filled by an electron from an outer shell, leading to the emission of an Auger electron 1,2 , which is a highly dominant process in the case of light atoms 3 . In molecules this frequently results in formation of a repulsive state of an ion, which dissociates on a time-scale of tens to hundreds of femtoseconds.…”
Section: Introductionmentioning
confidence: 99%