Stark Effect of the Hyperfine Structure of Cesium-133

The change $\Delta \left(\mathcal{E}\right)$ in transition frequency of the $(F=4, M_F=0)\leftrightarrow (F=3, M_F=0)$ transition of the ground state of ${\mathrm{Cs}}^{133}$ as a result of the application of an external electric field $\mathcal{E}$ has been calculated theoretically. The effects of differences in the ground-state wave functions due to the hyperfine interaction have been included, as well as differences in energy denominators due to hyperfine structure. The calculation gives $\Delta \left(\mathcal{E}\right)=-1.9\mathrm{}\times {10}^{-6\mathrm{}}(1\mathrm{}\pm 0.1){\mathcal{E}}^2$ cps, which is to be compared with the experimental value of $-2.29\mathrm{}\times {10}^{-6\mathrm{}}(1\mathrm{}\pm 0.03){\mathcal{E}}^2$ cps, where $\mathcal{E}$ is in V/cm.