Lattice vibrations of icosahedral boron-rich solids

Abstract
The rhombohedral lattices for α‐boron, boron arsenide, and boron phosphide are each of D3d symmetry and have bases that include B12 icosahedra. Boron carbide with B4C stoichiometry has near‐D3d symmetry and is almost certainly composed of B11C icosahedra and C‐B‐C chains. Comparable classical force field models are applied to each of these crystals to correlate q=0 phonon structure with experimental Raman and IR spectra. We here describe our methods and contrast interaction strengths for different materials. Vibrations are correlated in the different crystals through normal mode eigenvector expansions. Acoustic wave velocities from Brillouin zone dispersion curves in two distinct symmetry‐axis directions are presented and contrasted for α‐boron and B12As2. The origin of lines with anomalous polarization and width in α‐boron, B12As2, and B12P2 is considered.

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