Nuclear Magnetic Resonance Local-Magnetic-Field Shift in Solid Xenon

Abstract

The shift in the value of the magnetic field at a xenon atom relative to the external field is calculated for solid xenon. The theory used here is a simple extension of the results obtained by Adrian for this local-magnetic-field shift in the gas. We use the quasiharmonic approximation and nearest-neighbor force models to compute the effect of lattice vibrations on the shift. The effect of thermal expansion on the shift is computed from the experimental data. We show that our results are insensitive to changes in the model used for the interatomic potential and relatively insensitive to changes in several parameters in the expression for $\Delta H$, the local-magnetic-field shift. There is a large and unexplained discrepancy between the experimental data for the shift in the solid obtained at Rutgers University and at Washington University. For a wide range of parameters, our results follow the Rutgers data quite closely. The usefulness of additional experimental data, taken on both xenon and the other magnetic rare-gas isotopes, is stressed.