Variational Theory of Paramagnetic Impurities in Van der Waals Crystals
Abstract
A consistent method of calculating the wave functions and electronspinresonance properties of a dilute paramagnetic impurty in a molecular crystal is outlined, and the system of atomic hydrogen in solid argon is treated as a detailed example. Starting from a oneelectron, tightbinding, staticlattice picture of the impuritydoped crystal, the crystal wave function is formed as the antisymmetrized product of atomic HartreeFock functions. This is modified for the interactions in the crystal by adding variational corrections for crystal field effects, the spinorbit interaction, and the Van der Waals interaction. The spinresonance parameters are then found from the expectation value of the interaction with a magnetic field. The results lead to a reintepretation of parameters in previous theories and show that the various crystal perturbations do not add independently to give a net result when there is appreciable overlap between the impurity and host atoms. Estimates of the electronic g factor for hydrogen in argon are in good agreement with experiment. The predicted hyperfine shifts for substitutional hydrogen impurities also agrees well. However, it is shown that for interstitial sites the hyperfineshift calculations are unreliable.
 Publication:

Physical Review
 Pub Date:
 September 1963
 DOI:
 10.1103/PhysRev.131.2056
 Bibcode:
 1963PhRv..131.2056S