Skip to main content

The Qualitative Rationalization and Prediction of “Correlation Effects” in “Complex” Ground State Molecules

  • Chapter
Unified Valence Bond Theory of Electronic Structure

Part of the book series: Lecture Notes in Chemistry ((LNC,volume 34))

  • 142 Accesses

Abstract

One of the great advantages of MOVB theory is that it forms the basis for a logical and coherent interpretation of chemical phenomena. The situation is quite different in the case of MO theory: Within this framework, one typically solves the problem at the SCF-MO level and then corrects the solution by re-solving it at the SCF-MO-CI level. In the process, one generates two apparently distinct conceptual frameworks with the result that the appearance is created that there are “MO effects” and “CI effects”. This is quite inappropriate since the “CI effects” are nothing else but consequences of the solution of the SCF-MO equations, unless by “CI effects” one implies the chemical consequences of nonvalence orbitals which are not included in the monodeterminantal calculation. Perusal of the vast theoretical literature reveals that this point has not been properly appreciated. We believe that this is due to the fact that there has been no conceptual tool capable of revealing the nature of error involved at the Single Determinant (SD) MO level and how it is linked to fundamental electronic mechanisms which are grossly reproduced by SD MO theory. With MOVB theory as our weapon, we now attempt to answer the following question: What is the meaning of the term, “valence correlation effect”, or, more briefly, “correlation effect”?

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Monodeterminantal SCF-MO theory is unsuccessful in treating weak homopolar bonds but relatively successful in dealing with “ionic” bonds which can be qualitatively described by one “ionic” resonance structure. For review of pertinent computational data, see: Schaefer, III, H.F., “The Electronic Structure of Atoms and Molecules”; Addison-Wesley: Reading, MA, 1972, p. 153–160.

    Google Scholar 

  2. The manner in which CI corrects the deficiency of the monodeterminantal MO wavefunction is often illustrated by reference to the simple example of a two electron-two orbital system, e.g., H2, pi ethylene, etc. Elementary discussions of this type can be found in a number of elementary texts. See, inter alia: Borden, W.T., “Modern Molecular Orbital Theory for Organic Chemists”; Prentice-Hall: Englewood Cliffs, NJ, 1975. The following are some of the methodologies used for obtaining correlated wavefunctions:

    Google Scholar 

  3. Many Body Perturbation Theory: Paldus, J.: Cizek, J. Advan. uant. Chem. 1975,9, 105 and references therein. Pople, J.A.; Binkley, J.S.; Seeger, R. Int. J. uant. Chem. 1976, 510, 1.

    Article  CAS  Google Scholar 

  4. Cluster Expansions: Sinanoglou, 0. J. Chem. Phys. 1962, 36, 706.

    Article  Google Scholar 

  5. Second Order Bethe-Goldstone Method: Nesbet, R.K. Adv. Chem. Phys. 1969, 14, l.

    Google Scholar 

  6. Independent Electron Pair Approximation: Ahlrichs, R., Lischka, H., Staemmler, V., Kutzelnigg, W., J. Chem. Phys. 1975, 12, 1225 and references therein [Note: This method is related to those of (b) and (c) above].

    Google Scholar 

  7. Coupled Electron Pair Approximation: Meyer, W. Int. J. uant. Chem. 1971, 55, 341.

    Google Scholar 

  8. The near cancellation of “correlation effects” in some chemical processes has been noted early in the following works:

    Google Scholar 

  9. Nesbet, R.K. J. Chem, Phys. 1962, 36, 1518.

    Article  CAS  Google Scholar 

  10. McLean, A.D. J. Chem. Pas. 1963, 39, 2653.

    Article  CAS  Google Scholar 

  11. Nesbet, R.K. Advan. Chem. Phys. 1965, 9, 321.

    Article  Google Scholar 

  12. In this work, we have outlined a methodology for identifying the molecular isomer which is differentially favoredby “correlation effects”. This type of information is useful particularly when the SCF-MO energy differences are smaller.

    Google Scholar 

  13. Pipano, A.; Gilman, R.D.; Bender, C.F.; Shavitt, I. Chem. Phys. Letters 1970, 4, 583.

    Article  CAS  Google Scholar 

  14. Pipano, A.; Gilman, R.D.; Shavitt, I. Chem. Phys. Letters 1970, 5, 285.

    Article  CAS  Google Scholar 

  15. Body, R.G.; McClure, D.S.; Clementi, E. J. Chem. PhTs. 1968, 49, 4916.

    Article  CAS  Google Scholar 

  16. Rauk, A.; Allen, L.C.; Clementi, E. J. Chem. Pas. 1970, 52, 4133.

    Article  CAS  Google Scholar 

  17. Stevens, R.M. J. Chem. Pas. 1971, 55, 1725.

    Article  CAS  Google Scholar 

  18. Cremer, D. Chem. Phys. Letters 1981, 81, 481.

    Article  CAS  Google Scholar 

  19. Epiotis, N.D., Larson, J.R., Eaton, H., “Unified Valence Bond Theory of Electronic Structure” in Lecture Notes in Chemistry, Vol. 29; Springer-Verlag: New York and Berlin, 1982.

    Google Scholar 

  20. a) Läppert, M.F., in “Inorganic Compounds with Unusual Properties”; King, R.B., Ed.; Advances in Chemistry Series, No. 150; American Chemical Society: Washington, DC, 1976.

    Google Scholar 

  21. b) Davidson, P.J.; Harris, D.H.; Lappert, M.F. J. Chem. Soc. Daltoh 1976 2268.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Epiotis, N.D. (1983). The Qualitative Rationalization and Prediction of “Correlation Effects” in “Complex” Ground State Molecules. In: Unified Valence Bond Theory of Electronic Structure. Lecture Notes in Chemistry, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93239-7_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-93239-7_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12000-1

  • Online ISBN: 978-3-642-93239-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics