Mott–Bethe formula

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The Mott–Bethe formula is used to calculate electron form factors from X-ray form factors.[1] The equation uses the first Born approximation.

where is the electron scattering cross-section and is the x-ray scattering cross section. This is a function of , the scattering vector of momentum transfer cross section in reciprocal space (in units of inverse distance), and Z is the atomic number of the atom. In the equation is Planck's constant, is the vacuum permittivity.

The units of the scattering factor are


  1. ^ Advanced Computing in Electron Microscopy. ISBN 1475744064.