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Molecular Spectroscopy Review: Vibrational and Rotational Energies

11 Questions

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Molecular Spectroscopy Review: Vibrational and Rotational Energies

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Questions and Answers

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

$J$

$J^2$

$2^J$

$2J + 1$ (correct)

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

ΔJ = +1, -1 (correct)

ΔJ = +1, 0, -1

ΔJ = +2, -2

No selection rule

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

Energy levels and peaks are not evenly spaced

Energy levels are not evenly spaced, but peaks are (correct)

Energy levels are evenly spaced, but peaks are not

Energy levels and peaks are evenly spaced

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

Non-linear molecule Signup and view all the answers

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

Bond energy decreases Signup and view all the answers

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

Visible or ultraviolet Signup and view all the answers

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

Electronic Signup and view all the answers

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

Displacement from equilibrium Signup and view all the answers

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 Signup and view all the answers

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 Signup and view all the answers

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

Displacement between nuclei Signup and view all the answers