Interaction between Rotational and Vibrational States (rotational Sample Clauses

Interaction between Rotational and Vibrational States (rotational vibrational spectra) When a gas-phase molecule undergoes a vibrational transition, the energy of the absorbed photon may be slightly lower than or slightly higher than the exact energy needed to change the state of the molecule from υ =0 to υ =1. This excess (or slight deficiency) of energy can lead to a simultaneous rotational transition provided ΔJ (J’ – J”) = 0, ±1. These selection rules were derived using the rigid rotor and harmonic oscillator assumptions. The resulting rotational-vibrational (ro-vib) spectra can be divided into three branches. Transitions where Δυ = +1 and ΔJ = +1 are called the “R branch”, those where Δυ = +1 and ΔJ = −1 are called the “P branch”, and those where Δυ = +1 and ΔJ = 0 are the “Q branch”. For diatomic molecules the Q branch is a forbidden transition (rotation about the bond axis has no effect on the dipole moment) and is not be observed in a diatomic molecule ro-vib spectrum.
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