Many-body perturbation theory is used to calculate the contributions to the hyperfine structure of atomic oxygen from the orbital, spin-dipolar, and quadrupole interactions. The resulting values for $〈{{\mathcal{r}}_l}^{-3\mathrm{}}〉$ and $〈{{\mathcal{r}}_{\mathrm{sd}}}^{-3\mathrm{}}〉$ are 4.56 a. u. and 5.170 a. u., respectively, which are in good agreement with those measured by Harvey. Our calculated value for $〈{{\mathcal{r}}_q}^{-3\mathrm{}}〉$ is 4.216 a. u., which together with Harvey's measured value for $b_2$, leads to a nuclear quadrupole moment for ${\mathrm{O}}^{17}$ of -0.0263×${10}^{-24\mathrm{}}$ ${\mathrm{cm}}^2$.

• Received 23 December 1968

DOI:https://doi.org/10.1103/PhysRev.180.55