The Polarizability and Related Properties of Molecular Hydrogen and the Diatomic Hydrogen Ion

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Abstract
The polarizability of molecular hydrogen is calculated from both the Rosen and the Wang eigenfunctions by the variational method. The eigenfunctions of the perturbed molecule contain two parameters which are adjusted to give the molecule a minimum energy. The Rosen eigenfunction leads to a parallel polarizability 7.5×10—25 cm3 and a perpendicular polarizability 7.4×10—25 cm3. The Wang eigenfunction gives similar results. When only one adjustable parameter is used in the variational method, the formula for the polarizability is α=8( q 1 2 ¯ + q 1 q 2 ¯ ) 2 a 0 3 where q 1 and q 2 are the coordinates of electrons 1 and 2 in the direction of the applied electric field and a 0 is the radius of the first Bohr orbit of atomic hydrogen. The magnetic susceptibility and the mean square dimensions of the hydrogen molecule are computed. It is found that the Kirkwood formula is applicable to the diatomic hydrogen ion and polarizabilities are obtained for many internuclear separations using the Guillemin and Zener eigenfunction.

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