de Haas-van Alphen Oscillations in the Thermal and Electrical Magnetoresistance of Tin

Oscillatory behavior of the de Haas-van Alphen type has been found in both the electrical and thermal magnetoresistance of a tin single crystal at liquid helium temperatures. Measurements were made in magnetic fields ranging from 22 to 25 kilogauss. The tetragonal axis of the crystal was parallel to the field and perpendicular to the rod axis. The thermal and electrical oscillations were in phase and yielded values for $\frac{{\beta }^{*}}{E_0}$ of 5.7×${10}^{-7\mathrm{}}$ ${\mathrm{gauss}}^{-1\mathrm{}}$ and 6.1×${10}^{-7\mathrm{}}$ ${\mathrm{gauss}}^{-1\mathrm{}}$, respectively. This is in substantial agreement with the value (5.9×${10}^{-7\mathrm{}}$ ${\mathrm{gauss}}^{-1\mathrm{}}$) deduced by Shoenberg from diamagnetic susceptibility measurements.