The Urey — Bradley Force Field: Its Significance and Application

  • Kazuo Nakamoto
Part of the Developments in Applied Spectroscopy book series (DAIS, volume 3)


One of the most fundamental problems in normal coordinate analysis is the selection of a suitable potential field to express the interatomic forces in a molecule. Although the generalized valence force (GVF) field is widely used by many investigators, it encounters serious difficulties in complex molecules since the number of force constants exceeds the number of observed normal vibrations. In order to circumvent this difficulty, Shimanouchi introduced the Urey-Bradley force (UBF) field which consists of stretching and bending force constants, as well as repulsive force constants between nonbonded atoms. The number of force constants in the UBF field is much smaller than that in the GVF field. In addition, the UBF field has the advantages that the force constants have a clearer physical meaning than those of the GVF field, and they are transferable from molecule to molecule. The UBF field, however, does not include any interaction terms between non-neighboring stretching vibrations and between bending vibrations. In some molecules, ignorance of these terms causes difficulties in adjusting force constants to fit the observed frequencies. Recently, a number of attempts have been made to improve the UBF field, and these will be reviewed briefly.


Force Constant Clear Physical Meaning Interatomic Force Acetate Anion Potential Energy Expression 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    K. Nakamoto and A. E. Martell, J. Chem. Phys. 32:588 (1960).CrossRefGoogle Scholar
  2. 2.
    K. Nakamoto, Infrared Spectra of Inorganic and Coordination Compounds (John Wiley, New York, 1963).Google Scholar
  3. 3.
    T. Shimanouchi, J. Chem. Phys. 17:245, 734, and 848 (1949).CrossRefGoogle Scholar
  4. 4.
    H. C. Urey and C. A. Bradley, Phys. Rev. 38:1969 (1931).Google Scholar
  5. 5.
    R. B. Roof, Acta Cryst. 9:781 (1956).CrossRefGoogle Scholar
  6. 6.
    W. H. Zachariasen and H. A. Pettinger, Acta Cryst. 12:526 (1959).CrossRefGoogle Scholar
  7. 7.
    I. L. Karle, J. Chem. Phys. 20:65 (1952).CrossRefGoogle Scholar
  8. 8.
    T. Shimanouchi, „Force Constants of Small Molecules,” Private Publication, Univ. of Tokyo, Sept., 1962Google Scholar
  9. 8.
    S. Mizushima and T. Shimanouchi, Infrared Absorption and the Raman Effect (Kyoritsu, Tokyo. 1958).Google Scholar
  10. 9.
    R. A. Condrate and K. Nakamoto, presented at Mid-America Spectroscopy Symposium, Chicago, May, 1963.Google Scholar
  11. 10.
    J. Hiraishi, I. Nakagawa, and T. Shimanouchi, International Symposium on Molecular Structure and Spectroscopy, Tokyo, Sept., 1962.Google Scholar
  12. 11.
    K. Nakamoto, P. J. McCarthy, R. A. Condrate, and J. Fujita (to be published).Google Scholar
  13. 12.
    J. R. Scherer and J. Overend, Spectrochim. Acta 17:719 (1961).CrossRefGoogle Scholar
  14. 13.
    J. R. Scherer and J. Overend, J. Chem. Phys. 33:1681 (1960).CrossRefGoogle Scholar
  15. 14.
    H. Takahashi and T. Shimanouchi, International Symposium on Molecular Structure and Spectroscopy, Tokyo, Sept., 1962.Google Scholar
  16. 15.
    I. Nakagawa and S. Mizushima, J. Chem. Phys. 21:2195 (1953); 22:759 (1953).CrossRefGoogle Scholar

Copyright information

© Chicago Section of the Society for Applied Spectroscopy 1964

Authors and Affiliations

  • Kazuo Nakamoto
    • 1
  1. 1.Department of ChemistryIllinois Institute of TechnologyChicagoUSA

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