How many vibrational normal modes has each of the following molecules

PHYSICS · Subjective · Fermi University Physics · Atomic, Molecular & Optical Physics · Molecular structure and spectra · Molecular structure and spectra

Deriving the Spectrum, Ch Polyatomic molecules: normal modes and symmetry

Problem

How many vibrational normal modes has each of the following molecules? Hydrogen cyanide,

\mathrm{HCN}

(linear); ammonia,

\mathrm{NH_3}

(pyramidal); acetylene,

\mathrm{HC{\equiv}CH}

(linear); methane,

\mathrm{CH_4}

(tetrahedral); benzene,

\mathrm{C_6H_6}

(planar ring).

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