Abstract
Geometric resonances in the ultrasonic attenuation have been studied in magnesium for sound propagated in the three principle crystallographic directions. A total of twenty different geometric resonance branches have been obtained. The assignment of these branches to Fermi-surface calipers shows that the magnesium Fermi surface is much more free-electron-like than currently thought. Three of the first four local pseudopotential Fourier expansion coefficients are estimated from data to be 5 \ifmmode\times\else\texttimes\fi{} ${10}^{\ensuremath{-}4}$ 1.0 \ifmmode\times\else\texttimes\fi{} ${10}^{\ensuremath{-}2}$, and 1.7 \ifmmode\times\else\texttimes\fi{} ${10}^{\ensuremath{-}2}$ Ry for the absolute value of the [$10\overline{1}0$], [0002], and [$10\overline{1}1$] coefficients, respectively. A two orthogonalized-plane-wave model is given for the lens-shaped piece of the Fermi surface in the third Brillouin zone, and various physical properties of this model are calculated and compared with experimental data.
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