Open AccessA dynamical bragg equation for high‐order laue zone reflections
Author(s) -
Chen S.J.,
Howitt D. G.,
Harker A. B.
Publication year - 2000
Publication title -
scanning
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1932-8745
pISSN - 0161-0457
DOI - 10.1002/sca.4950220302
Subject(s) - bloch wave , wave equation , physics , bragg's law , formalism (music) , plane wave , plane (geometry) , wave vector , classical mechanics , diffraction , optics , mathematical analysis , mathematical physics , geometry , quantum mechanics , mathematics , art , musical , visual arts
A dynamically corrected Bragg equation for high‐order Laue zone (HOLZ) reflections is derived directly from the Bloch wave formalism instead of the geometric argument used to deduce the kinematical Bragg condition. It differs from the kinematical Bragg equation by replacing the plane wave vector in the kinematical equation with the Bloch wave vectors. This dynamical equation reduces to the kinematical equation when the crystal potential is zero. It also demonstrates the occurrence of dynamical shifts for the HOLZ reflections but their absence for the zero‐order Laue zone (ZOLZ) reflections in the symmetrical Laue case.