Frequency Spectra on the sc and bcc Lattices

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Abstract
A recent study of frequency spectra on the fcc lattice is extended to the sc and bcc lattices, again exhausting the possibilities due to varying the second-neighbor interactions. The location of critical points (cp) and singularities have been established from an algebraic analysis and a representative selection of spectra have been computed. In contrast to the fcc case, no cp of the one-dimensional type have been found, though again several instances of the two-dimensional variety occur as special cases. The sc and bcc cases possess a symmetry with respect to the sign of the second-neighbor interaction in contrast to the fcc case.