Basic conceptual/intuitive question on molecular vibrations and rotations.

[Animastryfe]

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?

 

[ansgar]

that is their classical analogy yes