Quantum theory of X-ray reflexion

Raman, C. V. ; Nilakantan, P. ; Rama Pisharoty, P. (1941) Quantum theory of X-ray reflexion Nature, 147 (3739). p. 805. ISSN 0028-0836

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Official URL: http://www.nature.com/nature/journal/v147/n3739/ab...

Related URL: http://dx.doi.org/10.1038/147805a0


In a memoir which appeared in 1926, Laue showed by purely classical reasoning that the X-rays scattered by elastic solid waves of thermal origin in a crystal have the frequency v±v*, v being the primary X-ray frequency and v* the frequency of the elastic waves. He evaluated Iv and Iv±v*, these being respectively the intensities of the reflexion and the scattering by any assigned set of lattice planes in the crystal. The value of Iv±v* for any specified direction of scattering may be found by assigning the appropriate wavelength and orientation to the elastic waves in Laue's formula. The ratio Iv/Iv±v* comes out, as might naturally be expected, to be of the order N, this being the total number of atoms in the irradiated solid. Even for a tiny crystal only 1μ in size, the ratio is thus of the order 1011. In other words, the scattering in any specified direction by the lattice planes has an intensity wholly negligible in comparison with that of the coherent reflexion by the same planes.

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