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J. Chem. Phys. 121, 7144 (2004); http://dx.doi.org/10.1063/1.1795151 (4 pages)

Interpretation of Hund’s multiplicity rule for the carbon atom

Kenta Hongo1, Ryo Maezono2, Yoshiyuki Kawazoe1, Hiroshi Yasuhara1, M. D. Towler3, and R. J. Needs3

1Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
2National Institute for Materials Science, Sengen 1-2-1, Tsukuba 305-0047, Japan
3TCM Group, Cavendish Laboratory, University of Cambridge, Madingley Road, Cambridge CB3 0HE, United Kingdom

(Received 1 July 2004; accepted 28 July 2004)

Hund’s multiplicity rule is investigated for the carbon atom using quantum Monte Carlo methods. Our calculations give an accurate account of electronic correlation and obey the virial theorem to high accuracy. This allows us to obtain accurate values for each of the energy terms and therefore to give a convincing explanation of the mechanism by which Hund’s rule operates in carbon. We find that the energy gain in the triplet with respect to the singlet state is due to the greater electron-nucleus attraction in the higher spin state, in accordance with Hartree-Fock calculations and studies including correlation. The method used here can easily be extended to heavier atoms. © 2004 American Institute of Physics.

© 2004 American Institute of Physics

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KEYWORDS and PACS

PACS

  • 31.15.vj

    Electron correlation calculations for atoms and ions: excited states

  • 31.15.xr

    Self-consistent-field methods

  • 02.70.Ss

    Quantum Monte Carlo methods

ARTICLE DATA

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

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