Ultrasonic Attenuation and the Fermi Surface of Arsenic

A study of the Fermi surface of arsenic has been made by the methods of geometric resonance and quantum oscillations in the ultrasonic attenuation. Three distinct groups of carriers are observed: two sets of short periods [$\Delta \left(\frac{1}{H}\right)\sim {10}^{-7\mathrm{}}$ ${\mathrm{G}}^{-1\mathrm{}}$] and a third long one (∼${10}^{-5\mathrm{}}$ ${\mathrm{G}}^{-1\mathrm{}}$). The Fermi surface of one of the short-period carriers (small tilt) can be approximated by a three-tilted-ellipsoid scheme having reciprocal effective-mass-tensor elements $\frac{{\beta }_{11}{\beta }_{33}}{{E_F}^2}=6.65\mathrm{}\times {10}^{26}$ ${\mathrm{erg}}^{-2\mathrm{}}$, $\frac{{\beta }_{22}}{E_F}=2.17\mathrm{}\times {10}^{12}$ ${\mathrm{erg}}^{-1\mathrm{}}$, $\frac{{\beta }_{33}}{E_F}=33.2\mathrm{}\times {10}^{12}$ ${\mathrm{erg}}^{-1\mathrm{}}$, and ${\theta }_{\mathrm{tilt}}=6\mathrm{}°$. The second group of fast-period carriers (large tilt) is observed to be approximately ellipsoidal, but is observed only over a limited range of angles. The slow-period carriers are approximately ellipsoidal, but do not fit into an ellipsoid-of-revolution model.