Use the data in Table 10.4 to calculate the frequencies of the transitions (000) → (003) and (000) → (201) for water. Compare to the values given in Section. 10.7.

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Table 10.4 Vibrational constants for water V₁ = 3825.32 cm-¹ X11 = -43.89 cm-¹ V₂ = 1653.91 cm-¹ X22 = -19.5 cm-¹ V3 = 3935.59 cm-¹ X33 = -46.37 cm-¹ Source: B. T. Darling and D. M. Dennison, The water vapor molecule, Phys. Rev. 57, 128 (1940). X12 = -20.02 cm-¹ X13 = -155.06 cm-¹ X23 = -19.81 cm-¹