Molecular Spectroscopy Review: Vibrational and Rotational Energies

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11 Questions

What is the degeneracy of the rotational energy level with quantum number J?

$2J + 1$

What is the selection rule for transitions in the rigid rotator model?

ΔJ = +1, -1

What is the relationship between the energy levels and the peaks on the microwave spectroscopy spectrum?

Energy levels are not evenly spaced, but peaks are

Which type of molecule has 3N-6 vibrational degrees of freedom?

Non-linear molecule

What is the effect of longer bond length on bond energy at higher energy levels?

Bond energy decreases

In what spectrum do electronic transitions usually occur for a molecule?

Visible or ultraviolet

In which energy type is the spacing of energy levels typically much larger compared to others?

Electronic

According to Hooke's law, what does 'x' represent in the equation F = -kx?

Displacement from equilibrium

In the context of the gas particles in a box, how does an increase in box size (V) affect energy transitions?

Energy transitions become smaller

What does the equation 𝜀𝑛𝑥 𝑛𝑦 𝑛𝑧 ℎ2 𝑛𝑥2 𝑛𝑦2 𝑛𝑧2 = + + 8𝑚 𝑎2 𝑏2 𝑐 2 represent in the context of connection to the First Law?

Change in energy transitions

For a diatomic molecule, what does '𝑥' represent in the equation 𝐹 = −𝑘𝑥?

Displacement between nuclei

Test your knowledge on vibrational and rotational energies in molecular spectroscopy, including the Schrödinger equation for rotational energy and selection rules for transitions. Explore the relationship between energy levels and degeneracy, and understand the conditions necessary for energy transitions.

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