The magnetic hyperpolarizability anisotropy of some two-electron systems

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Abstract
The magnetic hyperpolarizability η is calculated at the near-Hartree-Fock level for Li+, He and H2. Connections between η and B hyperpolarizabilities are derived. For H2 values of Δη = 9·76 and 10·31 a.u. (0·26 and 0·28 × 10-42 (4πϵ0) cm3 G-2, respectively) are found in different basis sets. Zero-point averaging adds an estimated 1·7 a.u. to the equilibrium value for the H2 isotopomer, and field-induced changes in vibration a further 0·2 a.u., to give a total ab initio result that is 78 per cent of the value deduced from the most recent experimental measurement of the Cotton-Mouton constant.