We have measured the frequencies of quantum oscillations in the attenuation of 20 MHz longitudinal ultrasonic waves in tungsten in magnetic fields up to 109 kOe. Our results agree well with the de Haas–van Alphen (dHvA) data of Girvan, Gold, and Phillips (GGP). In addition, we see features predicted by the empirical model developed by GGP but not observed directly in the dHvA studies. Specifically, we find strong evidence of the continuation of the ω branch (GGP notation) for the magnetic field H in the [Formula: see text] plane right to the [110] direction; we also observe splitting of the ξ branch for field directions near [111], but not to the extent predicted by the model. From the temperature dependence of the amplitudes of the quantum oscillations, we have deduced cyclotron masses for some orbits; these agree well with GGP and cyclotron resonance data.
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