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where m is the Bragg order (a positive integer), λ B the diffracted wavelength, Λ the fringe spacing of the grating, θ the angle between the incident beam and the normal (N) of the entrance surface and φ the angle between the normal and the grating vector (K G). Radiation that does not match Bragg's law will pass through the VBG undiffracted.
According to Bragg's law, when an X-ray beam of wavelength "λ" strikes the surface of a crystal at an angle "Θ" and the crystal has atomic lattice planes a distance "d" apart, then constructive interference will result in a beam of diffracted x-rays that will be emitted from the crystal at angle "Θ" if nλ = 2d sin Θ, where n is an integer.
It also corrects for refraction at the Bragg condition and combined Bragg and specular reflection in grazing incidence geometries. A Bragg reflection is the splitting of the dispersion surface at the border of the Brillouin zone in reciprocal space. There is a gap between the dispersion surfaces in which no travelling waves are allowed.
Laue equation. In crystallography and solid state physics, the Laue equations relate incoming waves to outgoing waves in the process of elastic scattering, where the photon energy or light temporal frequency does not change upon scattering by a crystal lattice.
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While there are similarities between the diffraction of X-rays and electrons, as can be found in the book by John M. Cowley, [23] the approach is different as it is based upon the original approach of Hans Bethe [31] and solving Schrödinger equation for relativistic electrons, rather than a kinematical or Bragg's law approach. Information ...
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