Calculate the number of vibrational degrees of freedom for ethane, C2H6, explain the fingerprint and functional group regions in IR spectrum.

Ethane (C2H6) has 18 atoms, and for a non-linear molecule, the total number of degrees of freedom is given by 3N - 6, _____ _______ _____ ___ ____ ___ ______ ________ __________ ____ ___ ____.
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