Lattice Dynamics of Body-Centered and Face-Centered Cubic Metallic Elements. III. Cubic Invariant Polynomials

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Abstract
When the frequencies obtained from the secular equations of lattice dynamics are expressed as power series in the magnitude of the propagation vector, the coefficients of the series terms are polynomials in the direction cosines of the vector. These polynomials are invariant under the symmetry operations of the cube. A number of their properties which have proved to be of value in computations of the lattice spectrum are presented.

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