A Calculation of the Diamagnetic and Paramagnetic Susceptibility of N2 by the Statistical Method

Abstract

The diamagnetic and the paramagnetic term in the susceptibility of N₂ are calculated using the statistical method of Thomas and Fermi corrected for exchange and correlation effects. A statistical electron density of N₂, corrected for exchange and correlation, is used in the evaluation of the integral ∫ ρr²dv, which defines the mean square position of the electronic charge of the molecule appearing in the diamagnetic term. A statistical distribution function of the square electronic angular momentum of the molecule is derived, and the mean square electronic angular momentum of the molecule, appearing in the paramagnetic term, is defined in terms of the distribution function. This procedure leads to a result which, although approximately two times larger than the observed value, still is fully as good as similar calculations for atoms.