Skip to main content
Log in

The effect of ring opening on the MOs of a cyclic polymer

  • Original Investigations
  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Abstract

The usual Born-Kármán boundary conditions applied in a tight-binding calculation of a cyclic polymer are relaxed by mixing the Bloch MOs of a particular band under a perturbation which creates certain states associated with the newly-formed ends of the polymer and which have energies outside the range of the particular band.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Falk, J. E., Fleming, R. J.: J. Phys. C6, 2954 (1973); Delhalle, J., André, J.-M., Delhalle, S., Pireaux, J. J., Caudano, R., Verbist, J. J.: J. Chem. Phys.60, 595 (1974); Delhalle, J., André, J.-M., Delhalle, S., Pivont-Malherbe, C., Clarisse, F., Leroy, G., Peeters, D.: Theoret. Chim. Acta (Berl.)43, 215 (1977)

    Google Scholar 

  2. Imamura, A.: J. Chem. Phys.52, 3168 (1970)

    Google Scholar 

  3. O'Shea, S., Santry, D. P.: J. Chem. Phys.54, 2667 (1970); Morokuma, K.: J. Chem. Phys.54, 962 (1971); Beveridge, D. L., Jano, I., Ladik, J.: J. Chem. Phys.56, 4744 (1972)

    Google Scholar 

  4. Bloch, F.: Z. Physik52, 555 (1928): Altmann, S. L.: Band theory of metals (The elements), Chapt. 3. Oxford: Pergamon Press 1970; Levin, A. A.: Solid state quantum chemistry, Chapt. 2. New York: McGraw Hill 1977

    Google Scholar 

  5. Gurman, S. J., Pendry, J. B.: Phys. Rev. Letters31, 637 (1973); Feuerbacher, B., Willis, R. F.: J. Phys. C9, 169 (1976)

    Google Scholar 

  6. Maue, A. W.: Z. Physik94, 717 (1935); Goodwin, E. T.: Proc. Cambridge Phil. Soc.35, 205, 221, 232 (1939)

    Google Scholar 

  7. Statz, H.: Z. Naturforsch.5a, 434 (1950); Levine, J. D.: Phys. Rev.171, 701 (1968)

    Google Scholar 

  8. Phariseau, P.: Physica26, 737 (1960)

    Google Scholar 

  9. Davison, S. G., Levine, J. D.: Solid state physics, Vol. 25. New York: Academic Press 1970

    Google Scholar 

  10. Sutton, L. E. (Ed.): Tables of Interatomic Distances. London: The Chemical Society 1958

    Google Scholar 

  11. Hoffmann, R.: J. Chem. Phys.39, 1397 (1963)

    Google Scholar 

  12. ZakrajŠek, E., Zupan, J.: Ann. Soc. Sci. Bruxelles89, 337 (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Morton-Blake, D.A. The effect of ring opening on the MOs of a cyclic polymer. Theoret. Chim. Acta 51, 85–95 (1979). https://doi.org/10.1007/BF00554093

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00554093

Key words

Navigation