Further Results on the Fermi Surface of Beryllium

Abstract

Following the methods presented in an earlier paper, the conduction eigenvalues for beryllium at the equivalent of over 80 000 points in the first Brillouin zone (all in the immediate vicinity of the Fermi surface) were calculated. The constant energy surfaces were constructed for several values of the energy near the Fermi energy. The hole and electron volumes were calculated for each case, and the Fermi energy was determined by the requirement that the two volumes be equal. This is the first time that this well-known result has actually been used to determine the Fermi energy in a band calculation. The corresponding Fermi surface was defined by about ten cross sections perpendicular to the [0001] direction. The agreement between these results and experiment is generally good and slightly improved over the previous results.