Thomson cross-section

The first factor in square brackets represents the Thomson cross-section for scattering from a free electron. The second square bracket describes the atomic arrangement of electrons through the atomic form factor, F, and incoherent scatter function, S. Finally, the last square bracket contains the factor s(x), the molecular interference function that describes the modification to the atomic scattering cross-section induced by the spatial arrangement of atoms in their molecules. 

This is the Thomson formula for scattering from a free charge. The differential Thomson cross section a is given by the angle-independent part of Eq. (3.25.17) ... 

The total scattering cross section, called the Thomson cross section,... 

The cross-section is here (and in the following) expressed in units of the scattering of a free electron, i.e., the Thomson cross-section, i//r is the electronic wave function for n electrons, and L is the scattering operator... 

Expression (2-11) should be multiplied, in general, by the number of valence electrons, Zv. At high electron energies, e 7, the Thomson cross section (2-11) is falling as 1/e. Quantum-mechanical treatment gives a more accurate but close asymptotic approximation ai lne/e. When e = 27, the Thomson cross section reaches the maximum value ... 

If the photon energy is so low that it cannot cause Compton effect, one has elastic scattering on free electrons (Thomson scattering). In the classical limit, the Klein-Nishina formula reduces to the Thomson cross section ... 

The factor (- ) depends on the interaction. In the case of x-rays it is the Thomson cross-section, somewhat less than 1 bam and in in the case of electron-electron collision it is the Rutherford cross-section, about 10 bams for small angles. 

The cross section for this light-induced spin-flip process may become very large because the Thomson cross section of an electron with effective mass m in a semiconductor is... 

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