Models for the hydrogen atom confined within crystalline quartz

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Abstract
Simple cylindrical models of a hydrogen atom confined in crystalline quartz are considered. The isotropic and anisotropic components of the hyperfine splitting are evaluated by solving numerically the appropriate two-dimensional Schrödinger equation, utilizing an adaptation of a finite element package previously described. The results show good agreement with electron paramagnetic resonance data, and given an estimate of d-orbital admixture in the H-atom ground state orbital.