Two Centre Coulomb Potential Approximation

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An expression in the prolate spheroidal coordinates is given for the wave function of a slow electron scattered by a pair of point charges, Zae and Zbe, fixed at a distance. The two centre Coulomb function is useful to approximate the wave function of a slow electron in the fields of diatomic molecular ions or polar molecules. By use of this approximation, the diffusion cross-section of electrons by polar molecules and the photoionization cross-section of hydrogen molecules near threshold energy are calculated. In these cases, the calculated cross-sections are about 1.3∼2 times smaller than the experimental ones.

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