For a diatomic vibrating rotor, in vibrational level $\mathrm{v}=3$ and rotational level J , the sum of the rotational and vibrational energies is $11493.6 \mathrm{cm}^{-1}$. Its equilibrium oscillation frequency is $2998.3 \mathrm{cm}^{-1}$, anharmonicity constant is 0.0124 and rotational constant under rigid rotor approximation is $9.716 \mathrm{cm}^{-1}$. The value of J is ____ (Up to nearest integer)
Answer
Answer (as printed): 12
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