Inversion of de Haas-van Alphen data on nearly ellipsoidal surfaces. Application to As and Sb

A transformation theorem, relating de Haas-van Alphen areas and radii under a spherical mapping of nearly ellipsoidal Fermi surfaces, has been developed. The transformation greatly increases the convergence of the spherical harmonic expansions used to parametrize these surfaces. The theorem has been applied to invert the L-centered electron surfaces of arsenic and antimony.