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Electronic energy inequalities for isoelectronic molecular systems

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Abstract

Within the Born-Oppenheimer approximation an inequality relation is derived between points of electronic energy hypersurfaces of pairs of isoelectronic molecules. The inequality is directly applicable to point pairs fulfilling a symmetry criterion for the nuclear frameworks and it may be extended to coordinate domains on both hypersurfaces. The result is applied to special examples of conformational problems, dissociation reactions and impurity —vacancy centres in solid clusters.

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References

  1. Mezey, P. G.: Chem. Phys. Letters47, 70 (1977)

    Article  CAS  Google Scholar 

  2. Mezey, P. G.: Theoret. Chim. Acta (Berl.)54, 95 (1980)

    Article  CAS  Google Scholar 

  3. Weinhold, F.: Phys. Rev.183, 142 (1969)

    Article  CAS  Google Scholar 

  4. Eckart, C. E.: Phys. Rev.36, 878 (1930)

    Article  CAS  Google Scholar 

  5. Mazziotti, A., Parr, R. G.: J. Chem. Phys.52, 1605 (1970)

    Article  CAS  Google Scholar 

  6. Thirring, W.: Acta. Phys. Aust. Suppl.14, 631 (1975)

    CAS  Google Scholar 

  7. Narnhofer, H., Thirring, W.: Acta. Phys. Aust.41, 281 (1975)

    CAS  Google Scholar 

  8. Lieb, E. H., Simon, B.: J. Phys. B.11, L537 (1978)

    Article  CAS  Google Scholar 

  9. Laidig, W. D., Schaefer III, H. F.: J. Am. Chem. Soc.100, 5972 (1978)

    Article  CAS  Google Scholar 

  10. Hine, J.: Divalent carbon, p. 82. New York: The Ronald Press Co. 1964

    Google Scholar 

  11. Mezey, P. G.: Internat. J. Quantum Chem., Quantum Chem. Symp., in press (1981).

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Mezey, P.G. Electronic energy inequalities for isoelectronic molecular systems. Theoret. Chim. Acta 59, 321–332 (1981). https://doi.org/10.1007/BF02402397

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  • DOI: https://doi.org/10.1007/BF02402397

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