de Haas-Shubnikov Effect in Antimony

The oscillatory components of the transverse magnetoresistance of single crystals of antimony has been measured at 1.15°K in the range of magnetic fields from 4000-25 000 G using a derivative technique. Measurements were made for the field in the $x-z$, $y-z$, and $x-y$ planes. Two sets of ellipsoidal carriers are clearly observed. One of the carriers was that observed by Shoenberg for which we found: ${\alpha }_{11}{\alpha }_{22}=0.334\mathrm{}\times {10}^{28}{E_F}^2$, ${\alpha }_{11}{\alpha }_{33}=0.563\mathrm{}\times {10}^{28}{E_F}^2$, and ${\alpha }_{11}{\alpha }_{23}=0.352\mathrm{}\times {10}^{28}{E_F}^2$. We also found for the second set of carriers ${\beta }_{11}{\beta }_{22}=0.0227\mathrm{}\times {10}^{28}{E_F}^2$, ${\beta }_{11}{\beta }_{33}=0.625\mathrm{}\times {10}^{28}{E_F}^2$, ${\beta }_{11}{\beta }_{23}=0.0424\mathrm{}\times {10}^{28}{E_F}^2$, and ${\beta }_{22}{\beta }_{33}-{{\beta }_{23}}^2=0.0627\mathrm{}\times {10}^{28}{E_F}^2$. Discussions are included relating this data to that of other experiments.