Zone Oscillations in the Magnetoresistance of Tin

A very high-frequency (2.458×${10}^8$ G) quantum oscillation corresponding to the quantization of flux through the cross section of the Brillouin zone—Pippard's "zone oscillation"—is found when $\overrightarrow{\mathrm{H}}$ is within $1^{\mathrm{o}}$ of the $c$ axis. It is best seen at ${4.2}^{\mathrm{o}}$K, where it constitutes 5% of the resistance, while its anomalously small effective mass causes it to be swamped by slower oscillations at $1^{\mathrm{o}}$K. A second harmonic is seen for $\overrightarrow{\mathrm{H}}$ within ${0.04}^{\mathrm{o}}$ of the $c$ axis.