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It is shown that an ionic model with polarization terms gives reasonable values for the vibrational frequencies of linear symmetric MX2 molecules. The potential function of such a model is indistinguishable from the valence force potential with interaction terms and this result is general for all molecules. Contrary to the literature, even a central force potential will give a nonzero bending frequency for a linear symmetric molecule.
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Ralph G. Pearson (1959) studied this question.
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