Molecular vibrations and IR spectroscopy of 4-methyl-2,6-dicyanophenol
The frequency of a molecular vibration depends on:

the mass of the atoms/groups that are bonded

vibrations between light atoms have the highest frequency e.g. bonds to H

bond strength

double bonds (e.g. C=O)vibrate at a higher frequency than single bonds between the same pair of atoms

For a non-linear molecule with N atoms, there are 3N-6 molecular vibrations

For 4-methyl-2,6-dcyanophenol N=18 therefore there are 48 vibrations

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