A molecular vibration is a periodic motion of the atoms of a molecule relative to each other, such that the center of mass of the molecule remains unchanged. Vibrations of polyatomic molecules are described in terms of normal modes , which are independent of each other, but each normal mode involves simultaneous vibrations of different parts of the molecule. In general, a non-linear molecule with N atoms has 3 N — 6 normal modes of vibration , but a linear molecule has 3 N — 5 modes, because rotation about the molecular axis cannot be observed. A fundamental vibration is evoked when one such quantum of energy is absorbed by the molecule in its ground state. When multiple quanta are absorbed, the first and possibly higher overtones are excited. To a first approximation, the motion in a normal vibration can be described as a kind of simple harmonic motion.


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