Inversion of Cubic de Haas-van Alphen Data, with an Application to Palladium

We have constructed to high order ($l=30\mathrm{}$) all the linear combinations of spherical harmonics which transform as the identity representation of the full cubic group $O_h$. These are used with Mueller's inversion scheme to obtain the radius vectors of the palladium $s$-band surface from the de Haas-van Alphen areas. The accuracy of this inversion is limited by the ambiguities inherent in data restricted to the symmetry planes. The limits to which such data define the anisotropy uniquely are calculated explicitly in an analysis which applies to any anisotropic quantity in a cubic system. The practical importance of this point is emphasized. We find that the electron surface in Pd contains 0.364±0.004 electrons/atom.