Symmetry properties of the lattice vibrations of crystals are widely used in analyzing the results of various experiments such as neutron inelastic scattering measurements. This greatly reduces the work involved in this analysis, but application of the group theoretical methods is also quite tedious, particularly the determination of the symmetry reduced form of the dynamical matrix, and determination of the symmetry coordinates which block diagonalizable that matrix.nBecause this involves the manipulation of large matrices it obviously is a job well suited to a digital computer. The authors of the present report have written a program to do this analysis, and this report contains the results obtained for twenty three common crystals. The first five sections contain a discussion of the computer output and pertinent references. The remainder of the report contains the actual computer output plus drawings of the Brillouih zones of the crystals analyzed.
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