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Physical picture of electron correlations in three-center four-electron bonds

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Zeitschrift für Physik B Condensed Matter

Abstract

It is shown that the strong electron correlations of π electrons in the O3 molecule may be well understood in terms of a simple analytic model which is a natural extension of a bond orbital approximation to the case of a three-center bond. Electron correlations are here responsible for the increase of density at the central atom and for enhanced correlations at both terminal ones. This result is confirmed by a numerical calculation of the interatomic correlations by using a local ansatz imposed on a semiempirical selfconsistent field ground state. It is argued that the discussed increase of the bond polarity in the O3 molecule is a universal phenomenon for three-center bonds filled (on the average) by more than one electron per atom, as, for example within the CuO2 planes of Cu based perovskites.

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References

  1. Wilson, C.R., Jr., Hopper, D.G.: J. Chem. Phys.74, 595 (1981)

    Google Scholar 

  2. Hay, P.J., Dunning, T.H., Jr., Goddard III, W.A.: J. Chem. Phys.62, 3912 (1975)

    Google Scholar 

  3. Hay, P.J., Dunning, T.H., Jr.: J. Chem. Phys.67, 2290 (1977)

    Google Scholar 

  4. Laidig, W.D., Schaefer III, H.F.: J. Chem. Phys.74, 3411 (1981)

    Google Scholar 

  5. Thunemann, K.H., Peyerimhoff, S.D., Buenker, R.J.: J. Mol. Spectrosc.70, 432 (1978)

    Google Scholar 

  6. Jones, R.O.: Phys. Rev. B29, 314 (1984)

    Google Scholar 

  7. Jones, R.O.: J. Chem. Phys.82, 325 (1985)

    Google Scholar 

  8. Müller, J.E., Jones, R.O., Harris, J.: J. Chem. Phys.79, 1875 (1983)

    Google Scholar 

  9. Harrison, W.A.: Electronic structure and the properties of solids. San Fransisco: Freeman 1980

    Google Scholar 

  10. Borrmann, W., Fulde, P.: Phys. Rev. B31, 7800 (1985);ibid. 35, 9569 (1987)

    Google Scholar 

  11. Borrmann, W., Oleś, A.M., Pfirsch, F., Fulde, P., Böhm, M.C.: Chem. Phys.106, 11 (1986)

    Google Scholar 

  12. Harcourt, R.D., Sillitoe, J.F.: Aust. J. Chem.27, 691 (1974)

    Google Scholar 

  13. Stollhoff, G., Fulde, P.: Z. Phys. B — Condensed Matter26, 257 (1977);ibid. 29 231 (1978)

    Google Scholar 

  14. Oleś, A.M., Pfirsch, F., Fulde, P., Böhm, M.C.: Z. Phys. B —Condensed Matter66, 359 (1987)

    Google Scholar 

  15. Böhm, M.C., Gleiter, R.: Theor. Chim. Acta59, 127 and 153 (1981)

    Google Scholar 

  16. Oleś, A.M., Pfirsch, F., Fulde, P., Böhm, M.C.: J. Chem. Phys.85, 5183 (1986)

    Google Scholar 

  17. Oleś, A.M., Fulde, P., Böhm, M.C.: Chem. Phys.117, 385 (1987)

    Google Scholar 

  18. Stollhoff, G., Fulde, P.: J. Chem. Phys.73, 4548 (1980)

    Google Scholar 

  19. Stollhoff, G, Vasilopoulos, P.: J. Chem. Phys.84, 2744 (1986)

    Google Scholar 

  20. Kiel, B., Stollhoff, G., Weigel, C., Fulde, P.: Stoll, H.: Z. Phys. B — Condensed Matter46, 1 (1982)

    Google Scholar 

  21. Stollhoff, G., Bohnen, K.P.: Phys. Rev. B37, 4678 (1988)

    Google Scholar 

  22. Oleś, A.M., Pfirsch, F., Böhm, M.C.: Chem. Phys.120, 65 (1988)

    Google Scholar 

  23. Koch, S., Kutzelnigg, W.: Theor. Chim. Acta59, 387 (1981)

    Google Scholar 

  24. Hirst, D.M.: Mol. Phys.31, 1511 (1976)

    Google Scholar 

  25. Cremer, D.: J. Am. Chem. Soc.101, 7199 (1979)

    Google Scholar 

  26. Burton, P.G.: J. Chem. Phys.71, 961 (1979)

    Google Scholar 

  27. Feng, W.L., Novaro, O., García-Prieto, J.: Chem. Phys. Lett.111, 297 (1984)

    Google Scholar 

  28. Lee, T.J., Allen, W.D., Schaefer III, H.F.: J. Chem. Phys.87, 7062 (1987)

    Google Scholar 

  29. Oleś, A.M., Zaanen, J., Fulde, P.: Physica B148, 260 (1987)

    Google Scholar 

  30. Oleś, A.M., Zaanen, J.: Int. J. Mod. Phys.5, 751 (1988)

    Google Scholar 

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Oleś, A.M., Fulde, P. & Böhm, M.C. Physical picture of electron correlations in three-center four-electron bonds. Z. Physik B - Condensed Matter 76, 239–245 (1989). https://doi.org/10.1007/BF01312691

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  • DOI: https://doi.org/10.1007/BF01312691

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