Question

How many nodes are possible for translational quantum no.5 and vibrational no.6?

Answer 1

I don't understand your question.

Answer 2

Vibrational modes:

• All of the atoms in a molecule are constantly moving, according to the Heisenberg uncertainty principle (otherwise we would know position and momentum accurately). For molecules, there are three common forms of motions: outward translations, internal rotations, and vibrations (internal). Diatomic molecules only have one motion, but polyatomic molecules have multiple complicated vibrations called normal modes.
• While each atom has its own motion, a molecule as a whole has translational and rotational motion. Raman or IR active vibrational modes are both possible. Changes in the permanent dipole are necessary for the observation of a mode in the IR spectrum (i.e. not diatomic molecules). In contrast to IR spectra, diatomic molecules can be seen in Raman spectra. Diatomic molecules only contain one band and no permanent dipole, leading to a single vibration as a result. But unsymmetric diatomic compounds do exhibit IR absorption. More complicated vibrations occur in polyatomic molecules, which can be summed or resolved into regular vibrational modes.

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