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 [Δ(1/H)~10^-7{G}^{{-}1}] and a third long one (~{10}^{{-}5}G^-1). 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 β₁₁β₃₃EF²=6.65×10²⁶ erg^-2, β₂₂EF=2.17×10¹² erg^-1, β₃₃EF=33.2×10¹² erg^-1, and θₜᵢₗₜ=6^∘. 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.