Abstract
Solid oxygen is known to have spontaneous antiferromagnetic order in its lowest temperature phase. Muons implanted in \alpha\mbox- O2 in zero applied magnetic field take up positions where the local field is non‐zero and precess at a frequency proportional to the sublattice magnetisation. The reduction of the magnetisation as the temperature increases toward TN is similar to that expected for the case of an anisotropic AFM coupling among spins of O_2 molecules. A fit to a simple non‐interacting, harmonic spin wave model yields an anisotropy‐induced gap in the spin wave density of states Eg/kB=80.5(6) K, implying a large anisotropy constant K\approx 16J.
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