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The semi-empirical method of Cushion (1963) for the calculation of vibrational matrix elements for diatomic molecules is improved upon by the employment of more sophisticated potential functions. Comparison with available experimental data shows that the method can provide oscillator strengths for Delta v=1 and Delta v=2 transitions to an accuracy of better than 5% and 50%, respectively.
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K L Bell (1970) studied this question.
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