Nuclear-Magnetic-Resonance Measurement of the Conduction-Electron $g$ Factor in CdTe

The effective $g$ factor $g^{*}$ of conduction electrons in degenerate CdTe has been determined by using measurements of the ${\mathrm{Cd}}^{113}$ nuclear spin-lattice relaxation time $T_1$ and the Knight shift $K$. It is shown that the magnitude of $g^{*}$ is given by the Korringa product $T_{1}T{K}^2=C{\left(g^{*}\right)}^2$, where $C$ is a known constant and $T$ is the absolute temperature, and that the sign of $g^{*}$ is given by the sign of $K$ for a spherically symmetric conduction band. The measured value, $g^{*}=-1.1\mathrm{}\pm 0.1$, is within the range allowed by effective-mass theory. Also, the electronic probability density at the nucleus, normalized to unity in an atomic volume, is calculated to be ${\left|{\psi }_F\mathrm{}\right(0\left)\right|}^2\simeq 6.5\times {10}^{25}$ ${\mathrm{cm}}^{-3\mathrm{}}$, about 70% of that found for the free Cd ion in a $5s{}_{}{}^2{}_{}{}^{}S_{\frac{1}{2}}^{}{}_{}{}^{}$ state.