Skip to main content

Non-empirical atomic potentials for ground state calculations of polymers

  • II. Theoretical Approaches for Ordered Systems
  • Conference paper
  • First Online:
Recent Advances in the Quantum Theory of Polymers

Part of the book series: Lecture Notes in Physics ((LNP,volume 113))

Abstract

Our preliminary test calculations show the ability of a very simple effective Hamiltonian to produce ab-initio quality results for calculations on polyethylene T. Similar simple models could be determined for other polymers. The most important point is that the general methodology presented in this paper is able to provide many possibilities for constructing other one and two-electron effective Hamiltonians for accurate band structure calculations of polymers. In contrast with the semi-empirical methods, these methods will have a well defined theoretical status and their range of applicability will be clearly recognized. The simple model presented in this paper can be considered as the prototype of these methods.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.M. Andre and J. Delhalle, LCAO methods for band structure calculations of polymers, in “Quantum Theory of Polymers”, J.M. Andre et al. Eds., D. Reidel Publishing Company, Dordrecht, Holland (1978)

    Google Scholar 

  2. K.F. Freed, Theoretical basis for semi-empirical theories, in “Semi-empirical methods of electronic structure calculation, Part A: Techniques, G.A. Segal, Ed., Plenum Press, New-York (1977)

    Google Scholar 

  3. V. Kvasnicka, Application of diagrammatic quasidegenerate RSPT in quantum molecular physics, in “Advances in Chemical Physics”, vol. 36, I. Prigogine and S.A. Rice, Eds., J. Wiley, New-York (1971), p. 391

    Google Scholar 

  4. J.E. Eilers and D.R. Whitman, J. Amer. Chem. Soc., 95, 2067 (1973)

    Google Scholar 

  5. Ph. Degand, G. Leroy and D. Peeters, Theoret. Chim. Acta (Berl.), 30,243 (1973)

    Google Scholar 

  6. J. Delhalle, J.M. Andre, S. Delhalle, C. Pivont-Malherbe, F. Clarisse, G.Leroy and D. Peeters, Theoret. Chim. Acta (Berl.), 43, 215 (1977)

    Google Scholar 

  7. G. Nicolas and Ph. Durand, The fourth seminar on computational methods in quantum chemistry, Lund, Sweden, September 1978

    Google Scholar 

  8. G. Nicolas and Ph. Durand, J. Chem. Phys., 70, 2020 (1979)

    Google Scholar 

  9. G. Nicolas and Ph. Durand, unpublished results

    Google Scholar 

  10. R.M. Pitzer, J. Chem. Phys., 46, 4871 (1967)

    Google Scholar 

  11. J. Delhalle and S. Delhalle, Internat. J. Quantum Chem., 11, 349 (1977)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jean Marie André Jean-Luc Bredas Joseph Delhalle Janos Ladik Georges Leroy Carl Moser

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Nicolas, G., Durand, P., Burke, L.A. (1980). Non-empirical atomic potentials for ground state calculations of polymers. In: André, J.M., Bredas, JL., Delhalle, J., Ladik, J., Leroy, G., Moser, C. (eds) Recent Advances in the Quantum Theory of Polymers. Lecture Notes in Physics, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540097317_83

Download citation

  • DOI: https://doi.org/10.1007/3540097317_83

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09731-0

  • Online ISBN: 978-3-540-38542-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics