Abstract
The selection rules for a molecule, based on a hypothetical model, were derived in Chapter 5. The normal modes of this model can be determined using the normal coordinate treatment (NCT) method, which also serves to check the frequency assignments for the model. This method, which illustrates a useful application of group theory, depends on the bond lengths and bond angles of the model. Knowledge of force constants (the restoring force between two atoms) is also necessary, and the molecule must possess a high degree of symmetry.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E. B. Wilson, J. C. Decius, and P. C. Cross, Molecular Vibrations, McGraw-Hill, New York (1955).
N. B. Colthup, L. H. Daly, and S. E. Wiberley, Introduction to Infrared and Raman Spectroscopy, Academic Press, New York (1964).
A. G. Meister and F. F. Cleveland, Am. J. Phys., 14: 13 (1946).
S. M. Ferigle and A. G. Meister, J. Chem. Phys., 19: 982 (1951).
J. C. Decius, J. Chem. Phys., 17: 1315 (1949).
E. B. Wilson, J. Chem. Phys., 7: 1047 (1939).
E. B. Wilson, J. Chem. Phys., 9 : 16 (1941).
A. G. Meister and F. F. Cleveland, Molecular Spectra, II, Pubis. Ill. Inst. Technol. (1948).
H. H. Claassen, J. Chem. Phys., 30: 968 (1959).
C. W. F. T. Pistorius, J. Chem. Phys., 29: 1328 (1958).
D. F. Heath and J. W. Linnett, Trans. Faraday Soc, 45: 264 (1949).
K. Venkateswarlu and S. Sundaram, Z. Physik. Chem., 9: 174 (1956).
K. Nakamoto, Infrared Spectra of Inorganic and Coordination Compounds, J. Wiley & Sons, New York (1963).
P. N. Schatz, J. Chem. Phys., 29: 481 (1958).
J. W. Linnett, Quart. Revs. (London), 1: 73 (1947).
L. A. Woodward, Trans. Faraday Soc, 54: 1271 (1958).
C. W. F. T. Pistorius, J. Chem. Phys., 28: 514 (1958).
K. Venkateswarlu and S. Sundaram, J. Chem. Phys., 23: 2365 (1955).
S. Sundaram, J. Chem. Phys., 33: 708 (1960).
H. Stammreich and R. Fomeris, Spec. Acta, 16: 363 (1960).
J. D. S. Goulden, A. Maccoll, and D. J. Milien, J. Chem. Soc, 1635 (1950).
A. Maccoll, Proc. Roy. Soc. N. S. Wales, 77: 130 (1943).
A. Sabatini, L. Sacconi, and V. Schettino, Inorg. Chem., 3: 1775 (1964).
J. Gaunt, Trans. Faraday Soc, 50: 546 (1954).
J. Hiraishi, I. Nakagawa, and T. Shimanouchi, Spec. Acta, 20: 819 (1964).
H. F. Shurvell, Canadian Spec, 12: 1156 (1967).
J. E. White, J. Chem. Educ, 44: 128 (1967).
G. Herzberg, Spectra of Diatomic Molecules, Van Nostrand, New York (1950).
E. B. Wilson, Ann. Rev. Phys. Chem., 2: 151 (1951).
O. Redlich, Z. Phys. Chem. (B), 28: 371 (1935).
J. B. Decius and E. B. Wilson, J. Chem. Phys., 19: 1409 (1951).
B. E. Crawford and S. R. Brinkley, J. Chem. Phys., 9: 69 (1941).
H. Kim, P. A. Souder, and H. H. Claassen, J. Mol. Spec, 26: 46 (1968).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1969 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ferraro, J.R., Ziomek, J.S. (1969). The Normal Coordinate Treatment for Molecules with C 2v , C 3v , T d , and O h Symmetry. In: Introductory Group Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6471-7_7
Download citation
DOI: https://doi.org/10.1007/978-1-4899-6471-7_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-6226-3
Online ISBN: 978-1-4899-6471-7
eBook Packages: Springer Book Archive