Skip to main content
Log in

A self-consistent molecular field theory for aggregates of neutral molecules. I

  • Commentationes
  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Abstract

A self-consistent theory is presented for aggregates of neutral molecules. According to the LCAO Hartree-Fock formalism a set of effective Hartree-Fock equations for molecules in the aggregate is derived. The molecular orbitals of each molecule are to be determined from the effective H-F equation for the molecule in which the interactions between the molecule and the surrounding ones are included as an intermolecular interaction field (molecular field). A self-consistent treatment leads to the molecular orbitals which are self-consistent with the molecular field. By this method, then-molecule problem becomesn times of one-molecule problem.

Zusammenfassung

Eine selbstkonsistente Theorie für Aggregate neutraler Moleküle wird entwickelt. Entsprechend der LCAO-Hartree-Fock-Theorie wird eine Reihe effektiver Hartree-Fock-Gleichungen für die Moleküle des Aggregats abgeleitet. Die Molekülorbitale sind aus den effektiven H-F-Gleichungen eines Moleküls zu bestimmen, wobei die Wechselwirkungen mit den Nachbarmolekülen als intermolekulares Wechselwirkungsfeld (Molekülfeld) berücksichtigt werden. Die Molekülorbitale werden selbstkonsistent bezüglich des Molekülfeldes berechnet. Nach dieser Methode wird dasn-Molekülproblem zumn-fachen Einmolekül-Problem.

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. Roothaan,C.C.J.: Rev. mod. Physics23, 69 (1951).

    Google Scholar 

  2. Hall,G.G.: Proc. Royal Soc. (London) A205, 541 (1951).

    Google Scholar 

  3. Davydov,A.S.: J. exp. theoret. Physics (USSR)18, 210 (1948).

    Google Scholar 

  4. —: Theory of molecular excitons. Translated by M. Kasha and M Oppenheimer, New York: McGraw-Hill Book Company 1962.

    Google Scholar 

  5. Craig,D. P.: J. chem. Soc.1955, 2302.

  6. Tanaka,J.: Progr. theoret. Physics (Kyoto) supple.12, 183 (1959).

    Google Scholar 

  7. McClure,D.S.: Solid State Physics8, 1 (1962).

    Google Scholar 

  8. Tanaka,M, Tanaka,J.: Molecular Physics16, 1 (1969).

    Google Scholar 

  9. Craig,D.P., Walmsley,S.H.: The physics and chemistry of organic solid state. New York: Interscience Publishers 1963.

    Google Scholar 

  10. Fox,D., Schnepp,O.: J. chem. Physics23, 767 (1955).

    Google Scholar 

  11. Wolf,H.C.: Solid State Physics9, 1 (1959).

    Google Scholar 

  12. Craig,D.P., Walmsley,S.H.: Molecular Physics4, 113 (1961).

    Google Scholar 

  13. —: Advances in molecular spectroscopy, Vol. 1. New York: Pergamon Press 1962.

    Google Scholar 

  14. Jortner,J., Rice,S.A., Katz,J.L., Choi,S.: J. chem. Physics42, 309 (1965).

    Google Scholar 

  15. Silbey,R., Jortner,J., Rice,S.A.: J. chem. Physics42, 1515 (1965).

    Google Scholar 

  16. Tanaka,J.: Bull. chem. Soc. Japan38, 86 (1965).

    Google Scholar 

  17. Cox,E.G., Cruickshank,D.W.J., Smith,J.A.S.: Proc. Royal Soc. (London) A247, 1 (1958).

    Google Scholar 

  18. Frenkel,J.: Physic. Rev.37, 17 (1931).

    Google Scholar 

  19. —: Physic. Rev.37, 1276 (1931).

    Google Scholar 

  20. Peierls,R.E.: Ann. Physik (5)13, 905 (1932).

    Google Scholar 

  21. Frenkel,J: Physik. Z. Sowjetunion9, 158 (1936).

    Google Scholar 

  22. Born,M., Oppenheimer,J.R.: Ann. Physik84, 457 (1927).

    Google Scholar 

  23. Fischer-Hjalmars,I.: Adances in quant. Chemistry2, 25 (1965).

    Google Scholar 

  24. Löwdin,P.O.: J. chem. Physics18, 365 (1950).

    Google Scholar 

  25. Del Re,G., Ladik,J.: Physic. Rev.155, 997 (1967).

    Google Scholar 

  26. Harris,F.E., Monkhorst,H. J.: Physic. Rev. Letters23, 1026 (1969).

    Google Scholar 

  27. O'shea,S., Santry,D.P.: J. chem. Physics54, 2667 (1971).

    Google Scholar 

  28. Gutfreund,H., Little,W.A.: Physic. Rev.183, 68 (1969); J. chem. Physics50, 4468 (1969).

    Google Scholar 

  29. Robertson,J.M., White,J.G.: J. chem. Soc.1945,607.

  30. Koopmans,T.: Physica1, 104 (1933).

    Google Scholar 

  31. Brillouin,L.: Actualités sci. et ind. No. 159 (1934).

  32. Tanaka,J.: Bull. chem. Soc. Japan38, 86 (1965).

    Google Scholar 

  33. Pariser,R.: J. chem. Physics21, 568 (1953).

    Google Scholar 

  34. —, Parr,R.G.: J. chem. Physics21, 767 (1953).

    Google Scholar 

  35. Nishimoto,K., Mataga,M.: Z. physik. Chem. (Frankfurt)12, 335;13, 140 (1957).

    Google Scholar 

  36. Goeppert-Mayer,M., Sklar,A.L.: J. chem. Physics6, 645 (1938).

    Google Scholar 

  37. Nieman,G.C., Robinson,G.W.: J. chem. Physics38, 1928 (1963).

    Google Scholar 

  38. Lyons,L.E.: J. chem. Soc.1957, 5001.

  39. Merrifield,R.E.: J. chem. Physics34, 1835 (1961).

    Google Scholar 

  40. Webber,S., Rice,S.A., Jortner,J.: J. chem. Physics41, 2911 (1964).

    Google Scholar 

  41. Pople,J.A., Santry,D.P., Segal,G. A.: J. chem. Physics43, S129 (1965).

    Google Scholar 

  42. —, Santry,D.P., Segal,G.A.: J. chem. Physics43, S136 (1965);44, 3289 (1966).

    Google Scholar 

  43. Dewar,M.J.S., Klopman,G.: J. Amer. chem. Soc.89, 3089 (1967).

    Google Scholar 

  44. Lenard-Jones,J.: Proc. Royal Soc. (London) A106, 463 (1924).

    Google Scholar 

  45. Buckingham,R.A.: Proc. Royal Soc. (London) A168, 264 (1938).

    Google Scholar 

  46. Mulliken,R.S.: J. Amer. chem. Soc.71, 811 (1952); J. physic. Chem.56, 801 (1952); J. chem. Physics61, 20 (1964).

    Google Scholar 

  47. —, Person,W.B.: Ann. Rev. physic. Chem.13, 107 (1962).

    Google Scholar 

  48. Ewald,P.P.: Ann. Physik64, 253 (1921).

    Google Scholar 

  49. Harris,F.E., Monkhorst,H. J.: Physic. Rev. B2, 4400 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors express to Prof. Y. Harada for useful suggestions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ohno, K., Inokuchi, H. A self-consistent molecular field theory for aggregates of neutral molecules. I. Theoret. Chim. Acta 26, 331–350 (1972). https://doi.org/10.1007/BF01036246

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01036246

Keywords

Navigation