Abstract
A group-theoretical method is developed for the many-beam dynamical theory of the symmetric Laue case. When the incident wave is directed so that the Laue point lies on a symmetric position in the reciprocal lattice, the dispersion matrix in the fundamental equation can be reduced to a block diagonal form. The trans-formation matrix is composed of column vectors belonging to irreducible representations of the group of the incident wave vector. Without performing reduction, the reduced forum of the dispersion matrix is determined from characters of rep-resentations. Practical application is made to the case of symmorphic crystals, where general reduced form and all solvable examples are given in terms of some geometrical factors of reciprocal lattice arrangentents.
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