de Haas-van Alphen Effect in Cadmium

Abstract

The de Haas-van Alphen effect (periodic dependence of magnetic susceptibility upon magnetic field) has been investigated in single crystals of cadmium in the liquid helium temperature range and in magnetic fields up to 25 kilogauss. The orientation dependence of the effect in cadmium was found to be different from all other known cases and cannot be interpreted in terms of ellipsoidal constant energy surfaces or other constant energy surfaces obtainable by the usual transformations from the isotropic case. The susceptibility oscillations of maximum period $\frac{\beta }{E_0}=1.88\mathrm{}\times {10}^{-7\mathrm{}}$ ${\mathrm{gauss}}^{-1\mathrm{}}$ occur whenever the magnetic field makes an angle of 28.5° with the hexagonal axis. The chemical potential of the pertinent electrons is $E_0=69.6\mathrm{}\times {10}^{-14\mathrm{}}$ erg=0.435 electron volt to an estimated accuracy of ±1 percent.