Correlation Energies of the Lithium Sequence

C. D. H. Chisholm; A. Dalgarno; F. R. Innes

doi:10.1103/PhysRev.167.60

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Correlation Energies of the Lithium Sequence

C. D. H. Chisholm

A. Dalgarno^*

F. R. Innes

Department of Chemistry, Glasgow University, Glasgow, Scotland

School of Physics and Applied Mathematics, The Queen's University of Belfast, Belfast, Ireland

Air Force Cambridge Research Laboratories, Bedford, Massachusetts

^*Present address: Smithsonian Astrophysical Observatory and Harvard College Observatory, Cambridge, Mass.

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Phys. Rev. 167, 60 – Published 5 March, 1968

DOI: https://doi.org/10.1103/PhysRev.167.60

Abstract

The nonrelativistic eigenvalues of the $1 s^{2} 2 p {}^{2}P$ states of the lithium sequence are calculated to be $E (Z) = - 1.125 Z^{2} + 1.09352614 Z - 0.52717136 + O (Z^{- 1})$ a.u., where $Z$ is the nuclear charge; and the energy of the $1 s^{2} 2 p {}^{2}P - 1 s^{2} 2 s {}^{2}S$ transition is calculated to be $Δ E (Z) = 0.07072093 Z - 0.11902237 + O (Z^{- 1})$ a.u. For large nuclear charges, the addition of a $2 p$ electron to the $1 s^{2} {}^{1}S$ core increases the magnitude of the correlation energy by 0.30 eV to give a value of 1.57 eV, most of which arises from the electron-pair energies.

References (6)

C. D. H. Chisholm and A. Dalgarno, Proc. Roy. Soc. (London) A292, 264 (1966)
M. Cohen, Proc. Phys. Soc. (London) 82, 778 (1963)
C. W. Scherr, F. C. Sanders, and R. E. Knight, in Perturbation Theory and Its Applications in Quantum Mechanics, edited by C. H. Wilcox (John Wiley & Sons, Inc., New York, 1966), p. 97
A. W. Weiss, Astrophys. J. 138, 1262 (1963)
C. Froese, Astrophys. J. 141, 1206 (1965)
A. Dalgarno, Proc. Phys. Soc. (London) 75, 439 (1960)

[c1] C. D. H. Chisholm and A. Dalgarno, Proc. Roy. Soc. (London) A292, 264 (1966)

[c2] M. Cohen, Proc. Phys. Soc. (London) 82, 778 (1963)

[c3] C. W. Scherr, F. C. Sanders, and R. E. Knight, in Perturbation Theory and Its Applications in Quantum Mechanics, edited by C. H. Wilcox (John Wiley & Sons, Inc., New York, 1966), p. 97

[c4] A. W. Weiss, Astrophys. J. 138, 1262 (1963)

[c5] C. Froese, Astrophys. J. 141, 1206 (1965)

[c6] A. Dalgarno, Proc. Phys. Soc. (London) 75, 439 (1960)

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Correlation Energies of the Lithium Sequence

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References (6)

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