Determination of the Fermi Surface of Molybdenum Using the de Haas—van Alphen Effect

Abstract

The de Haas—van Alphen effect in molybdenum has been studied in detail using large impulsive magnetic fields. Digital data recording, fast Fourier-frequency analysis by computer, and dynamic calibration of the entire apparatus have been used to obtain the de Haas—van Alphen frequencies to a high degree of accuracy. Several new frequency branches associated with the electron-jack piece of the Fermi surface are reported. Frequency branches exhibiting high angular accuracy and resolution are reported for all branches that have previously been detected by other de Haas—van Alphen investigators. A quantitative description of all sheets of the Fermi surface is presented, along with comparisons with other Fermi-surface radii obtained by use of the radio-frequency-size-effect (RFSE) technique. The Mueller inversion technique for obtaining Fermi-surface radii from the de Haas—van Alphen area data was used whenever possible. The de Haas—van Alphen results presented are consistent with an estimate of 2.5% of the $\Gamma H$ dimension for the size of the gap between the jack and the octahedral Fermi-surface pieces. Thus the question about the size of this gap as raised by discrepancies greater than the combined experimental errors existing in current RFSE data is resolved. The spin-orbit parameter is not found to be anomalously higher than that for tungsten.