Basic conceptual/intuitive question on molecular vibrations and rotations.

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SUMMARY

This discussion focuses on the fundamental concepts of rotational and vibrational quantum numbers in diatomic molecules. A higher rotational quantum number indicates an increase in the angular momentum of the molecule, not necessarily a faster rotation. The vibrational quantum number correlates with the amplitude of atomic displacement from the equilibrium internuclear distance during vibration, reflecting classical analogies of molecular motion.

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Animastryfe
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Could someone please help me get a very basic intuitive understanding of what rotational and vibrational quantum numbers mean? For simplicity, assume a diatomic molecule. For example, does a higher rotational quantum number mean that the molecule is rotating faster? Is the vibration number a measure of the displacement of the atoms from their internuclear distance as they vibrate?
 
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that is their classical analogy yes
 

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