Abstract
IT is well known that the fundamental vibration frequencies of polyatomic molecules can be predicted with an error of only 1 or 2 per cent by solving the secular equation with force constants obtained from related molecules1. The reverse process of solving for the constants in terms of the frequencies is, in general, impossible unless some special assumptions are made concerning the force field2. The following general solution is therefore of some interest.
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Crawford and Brinkley, J. Chem. Phys., 9, 69 (1941). See also Pitzer and others, J. Res. Nat. Bur. Stand., 38, 1, 191 (1947).
Glockler and Tung, J. Chem. Phys., 13, 388 (1945).
Wilson, J. Chem. Phys., 7, 1047 (1939); 9, 76 (1941).
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TORKINGTON, P. A General Solution for the Force Constants of Polyatomic Molecules. Nature 162, 370 (1948). https://doi.org/10.1038/162370a0
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DOI: https://doi.org/10.1038/162370a0
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