The lattice dynamics of niobium I. Measurements of the phonon frequencies

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, , Citation R I Sharp 1969 J. Phys. C: Solid State Phys. 2 421 DOI 10.1088/0022-3719/2/3/306

0022-3719/2/3/421

Abstract

Measurements of the frequencies of the normal modes of vibration of niobium at 296 °K have been made by inelastic neutron scattering techniques. Results are presented for several hundred phonons with wave vectors at general positions in the [11, macron0] reciprocal lattice plane. The phonon dispersion relations in symmetry directions agree well with the previous work of Nakagawa and Woods. The measured frequencies cannot be fitted well by tensor force-constant models even when the range of the forces extends to tenth-nearest neighbours, but the critical points in the phonon density of states derived from the eighth-neighbour model agree with those observed in superconducting tunnelling experiments, and the calculated Debye temperature also agrees quite well with measured values.

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10.1088/0022-3719/2/3/306