For a diatomic molecule AB , the energy of the rotational transition from J = 0 to J = 1 state is 3.9 cm^-1 . The energy for the rotational transition from J = 3 to J = 4 state would be

For a diatomic molecule, the energy of rotational transitions can be calculated using the following formula:

\[
E_J = B J (J + 1)
\]

where:
- \( E_J \) is the rotational energy level for a given quantum number \( J \),
- \( B \) is the rotational constant of the molecule,
- \( J \) is the rotational quantum number.

The energy difference between two consecutive rotational levels \( J \) and \( J+1 \) is given by:

\[
\Delta E =

For a diatomic molecule AB, the energy of the rotational transition from J = 0 to J = 1 state is 3.9 cm^-1. The energy for the rotational transition from J = 3 to J = 4 state would be

Learn how to calculate the energy of rotational transitions for a diatomic molecule, specifically from J = 0 to J = 1 and J = 3 to J = 4 states, using key concepts in rotational spectroscopy and quantum mechanics. This problem involves formulas for rotational energy levels and is suitable for undergraduate physics students.

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