Nuclear magnetic shielding of a hydrogen atom in (1) an electric field-gradient and (2) a cage

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Abstract
The ground state wave function of a hydrogen atom in an electric field-gradient F' is obtained, correct to the first power in F', and the nuclear magnetic screening constant σ evaluated. The F' contribution to σ vanishes if all directions of F' relative to the applied magnetic field are equally probable. In part (2), the influence of a uniform compression of the H-atom on σ is examined. This effect, which will predominate at sufficiently high pressures, causes a decrease in the electronic polarizability but an increase in σ.