Magnetic-Structure-Factor Calculations in Paramagneticγ-Oxygen

We introduce a simple model to interpret the results of a polarized-neutron study of paramagnetic solid $\gamma -{\mathrm{O}}_2$ carried out at 46 °K. The model is based on the assumption of a rotational motion of the molecules around the lattice sites, and agreement with the experimental results presented in the preceding paper is quite satisfactory. The function $w\left(\hat{a}\right)$ which is used to describe the motion of the molecule as a whole may depend strongly upon temperature. Its qualitative behavior is discussed particularly in the $T=0\mathrm{}$ °K and $T=\infty$ limits for an ideal ${\mathrm{O}}_2$ crystal having the paramagnetic $\gamma$ structure over the whole temperature range.