Abstract
Total-energy calculations for ${\mathrm{YH}}_{3}$ indicate that small symmetry-breaking hydrogen displacements can lower the total energy of the structure deduced from neutron powder diffraction (NPD) experiments on ${\mathrm{YD}}_{3}.$ However, such displacements were not observed in subsequent low-temperature NPD experiments. Here we present the results of parameter-free lattice dynamics calculations for ${\mathrm{YH}}_{3}.$ Comparison of the theoretical vibrational densities of states calculated for the ${\mathrm{HoD}}_{3}$ and broken-symmetry structures with the recently reported experimental spectrum determined by inelastic neutron scattering yields evidence that symmetry lowering has in fact been seen.
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