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Localization of the filled and virtual orbitals in the nucleotide bases

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Abstract

For the four nucleotide bases cytosine, uracil, adenine and guanine both Boys (B) and Edminston-Ruedenberg (ER) localization procedures of the ab initio canonical orbitals have been performed. The results obtained for both σ-π separation and by treating all electrons together show a very good localization for all electrons (one-center lone-pairs and two-center localized orbitals even for π-electrons) and a rather good localization for the virtuals applying both B and ER criteria. The results of the two methods are essentially identical. These results suggest that the application of localized orbitals will open new possibilities for the calculation of correlation in extended systems.

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References

  1. Petrongolo, C., Buenker, R. J., Peyerimhoff, S. D.: J. Chem. Phys. 76, 3655 (1982); Lie, G. C., Peyerimhoflf, S. D., Buenker, R. J.: J. Chem. Phys. 75, 2892 (1981)

    Google Scholar 

  2. Brueckner, K. A.: Phys. Rev. 100, 36 (1955); Goldstone, J.: Proc. Roy. Soc. (London) A 239, 267 (1957); Primas, H., in: Modern quantum chemistry, Vol. 2, p. 45; ed. Sinanoglu, O., New York: Academic Press 1965; Pople, J. A., Seeger, R., Krishnan, R.: Int. J. Quantum Chem. S11, 149 (1977); Pople, J. A., Krishnan, R., Schlegel, H. B., Binkley, J. S.: Int. J. Quantum Chem. 14, 545 (1978)

    Google Scholar 

  3. Paldus, J.: J. Chem. Phys. 61, 5321 (1974); Paldus, J. in: Theoretical chemistry: Advances and perspectives, Vol. 2, p. 131; eds. Eyring, H., Henderson, D., New York: Academic 1976; Paldus, J., in: The unitary group for the evaluation of electronic energy matrix elements, Lecture Notes in Chemistry, Vol. 22, p. 1, ed. Hinze, J., Berlin: Springer 1981; Shavitt, I.: Int. J. Quantum Chem. S11, 131 (1977), ibid S12, 5 (1978); Shavitt, I., in: The unitary group for the evaluation of electronic energy matrix elements, Lecture Notes in Chemistry, Vol. 22, p. 51, ed. Hinze, J., Berlin: Springer 1981

    Google Scholar 

  4. Roos, B. O., Siegbahn, P. E. M., in: Modern theoretical chemistry, methods of electronic structure theory, Vol. III, ed. Schaefer III, H. F., New York: Plenum 1977

    Google Scholar 

  5. Goldstone, J.: Proc. Roy. Soc. (London) A 239, 267 (1957)

    Google Scholar 

  6. Mayer, W.: J. Chem. Phys. 58, 1017 (1973); Kutzelnigg, W., in: Modern theoretical chemistry, Vol. III, ed. Schaefer III, H. F., New York: Plenum 1977; Zirz, C., Ahlrichs, R.: J. Chem. Phys. 75, 4980 (1981)

    Google Scholar 

  7. Cizek, J.: J. Chem. Phys. 45, 5456 (1966); Cizek, J.: Adv. Chem. Phys. 14, 35 (1969)

    Google Scholar 

  8. Foster, J. M., Boys, S. F.: Rev. Mod. Phys. 32, 300 (1960)

    Google Scholar 

  9. Edminston, C., Ruedenberg, K.: Rev. Mod. Phys. 34, 457 (1963)

    Google Scholar 

  10. Boys, S. F., in: Quantum theory of atoms, molecules and solid state, p. 253, ed. Löwdin, P.-O. New York: Academic Press, 1966

    Google Scholar 

  11. Pipek, J.: J. Comp. Chem., submitted for publication

  12. England, W., Salomon, L. S., Ruedenberg, K., in: Topics in current chemistry, Vol. 23, p. 31, eds. Davison, A., Dewar, M. J. S., Hafner, K., Heilbronner, E., Hofmann, U., Niedenzu, K., Schäfer, Kl., Wittig, G., Berlin-New York: Springer 1971

    Google Scholar 

  13. Brown, L. D., Kleier, D. A., Lipscomb, W. N.: J. Am. Chem. Soc. 99, 6787 (1977)

    Google Scholar 

  14. Ladig, W. D., Purvis, G. D. S., Bartlett, R. G.: Int. J. Quantum Chem. S16, 561 (1982)

    Google Scholar 

  15. Edminston, C., Ruedenberg, K.: J. Chem. Phys. 43, 597 (1965)

    Google Scholar 

  16. Arnott, S., Dover, S. D., Wonacott, A. J.: Acta Cryst. B25, 2192 (1966)

    Google Scholar 

  17. Kleier, D. A., Halgren, T. A., Hall, J. H. Jr., Lipscomb, W. N.: J. Chem. Phys. 61, 3905 (1974)

    Google Scholar 

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Cizek, J., Förner, W. & Ladik, J. Localization of the filled and virtual orbitals in the nucleotide bases. Theoret. Chim. Acta 64, 107–116 (1983). https://doi.org/10.1007/BF00550325

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