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The number of vibrational degrees of freedom for a non-linear triatomic molecule are

  • A.9
  • B.6
  • C.4
  • D.3

Answer: D

A non-linear triatomic molecule has 3 vibrational degrees of freedom.

Three atoms have \(3N = 9\) degrees of freedom in all. Three are translations of the centre of mass and, for a non-linear molecule, three are rotations, leaving

\[ 3N - 6 = 9 - 6 = 3 \]

vibrations; water, for example, has a symmetric stretch, an asymmetric stretch and a bend. 9 is the total, 6 counts translations and rotations, and 4 is the vibrational count for a linear triatomic (\(3N - 5\)), such as CO2.

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