Examveda
Examveda

The three principal moments of inertia of a methanol (CH3OH) molecule have the property $${I_x} = {I_y} = I$$   and $${I_z} \ne I.$$  The rotational energy eigenvalues are

A. $$\frac{{{\hbar ^2}}}{{2I}}l\left( {l + 1} \right) + \frac{{{\hbar ^2}m_l^2}}{2}\left( {\frac{1}{{{I_z}}} - \frac{1}{I}} \right)$$

B. $$\frac{{{\hbar ^2}}}{{2I}}l\left( {l + 1} \right)$$

C. $$\frac{{{\hbar ^2}m_l^2}}{2}\left( {\frac{1}{{{I_z}}} - \frac{1}{I}} \right)$$

D. $$\frac{{{\hbar ^2}}}{{2I}}l\left( {l + 1} \right) + \frac{{{\hbar ^2}m_l^2}}{2}\left( {\frac{1}{{{I_z}}} + \frac{1}{I}} \right)$$

Answer: Option A


Join The Discussion

Related Questions on Atomic and Molecular Physics