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Self-consistent field for molecular hydrogen

  • C. A. Coulson (a1)

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.

(6)Fock. Zeit. f. Physik, 61 (1930), 126.

(7)Hartree. Proc. Cambridge Phil. Soc. 24 (1928), 111 and 426.

(8)James. Journ. Chem. Phys. 2 (1934), 794; 3 (1935), 9.

(9)Knipp. Journ. Chem. Phys. 4 (1936), 300.

(10)London. Zeit. f. Physik, 46 (1928), 476.

(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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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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