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  • Mathematical Proceedings of the Cambridge Philosophical Society, Volume 34, Issue 2
  • April 1938, pp. 204-212

Self-consistent field for molecular hydrogen

  • C. A. Coulson (a1)
  • DOI:
  • Published online: 24 October 2008

The method of the self-consistent field is applied to a discussion of the energy and wave-functions of the ground state of the hydrogen molecule; an analytical expansion of the wave-function is given in terms of spheroidal coordinates, and the distribution of charge is determined. Two simpler, though less accurate, wave-functions for the molecule are also included, and the possibility of using the method for more complex molecules is discussed.

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(3)Coulson. Trans. Faraday Soc. 33 (1937), 1479.

(4)Coulson and Dunncanson. Proc. Roy. Soc. (1938), in the press.

(5)Eckart. Phys. Rev. 36 (1930), 878.

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(11)Mulliken. Phys. Rev. 41 (1932), 49.

(12)Sugiura. Zeit. f. Physik, 45 (1927), 484.

(13)Wang. Phys. Rev. 31 (1928), 579.

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