Mean Square Angular Momentum, Rotational Magnetic Moment and Diamagnetic Susceptibility of the Hydrogen Molecule

Abstract

Mean square angular momentum <L⁰> of the normal hydrogen molecule and rotational magnetic moment μR have been calculated by use of the simple wave function of form Ψ(1, 2)=2c^{-α(ε₁+ε₂)}cosh β(η₁-η₂), where ξ_ε, η_i are spheroidal coordlinates of the i-th electron (i=1, 2) and α, β are variation parameters, which was proposed by the writer in a previous paper. The obtained results are as follows: <L²>=0•390 a.u., μ_R=0•81 nuclear magneton, while corresponding new experimental value by Ramsey is 0•8787. Then, the relation of rotational magnetic moment and diamagnetic susceptibility has been discussed. In this connection, the numerical value <r²> has been calculated by use of the same wave function yielding a value χ_mol=-3•805×10^-6 c.g.s. Corresponding numerical values of several experiments lie in the range -3•94--5•8 ×10^-6 c.g.s