Abstract
When the space part of the wavefunction of the groundstate of atomic two-electron systems is taken to be Φ(1, 2)=u(1)v(2)+v(1)u(2), where u=exp(−ar) and v=exp(−br), the parameters a and b as well as the energy associated with Φ(1,2) can be determined in the form of power series involving the nuclear charge Z. For small values of Z the convergence of these series is rather slow. The quantities mentioned, however, may be determined to any degree of accuracy by a method of stepwise approximation.
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References
Hylleraas, E. A.: Z. Physik 54, 347 (1929).
Eckart, C.: Physic. Rev. 36, 878 (1930).
Shull, H., and P.-O. Löwdin: J. chem. Physics 25, 1035 (1956).
Hurst, R. P., J. D. Gray, H. H. Brigman, and F. A. Matsen: Mol. Physics 1, 189 (1958).
Silverman, J. N., O. Platas, and F. A. Matsen: J. chem. Physics 32, 1402 (1960).
Scherr, C. W., and J. N. Silverman: J. chem. Physics 32, 1407 (1960).
Hibbert, A., and C. A. Coulson: Proc. physic. Soc. (London) 92, 17 (1967).
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Ten Hoor, M.J. Note on the Hylleraas-Eckart split-shell description of the groundstate of atomic two-electron systems. Theoret. Chim. Acta 11, 85–88 (1968). https://doi.org/10.1007/BF00526072
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DOI: https://doi.org/10.1007/BF00526072