Calculate fundamental modes of vibration in diatomic molecules
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Answer:
The number of vibrational modes (different types of vibrations) in a molecule is 3N-5 for linear molecules and 3N-6 for nonlinear molecules, where N is the number of atoms. So the diatomic molecule we just discussed has 3 x 2 - 5 = 1 vibration: the stretching of the bond between the atoms.
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The fundamental mode of vibration in diatomic molecules is one.
Explanation:
- In diatomic molecule, it contains only a single motion.
- But polyatomic molecules, exhibit more complex vibrations, which is known as normal modes.
- The number of vibrational normal modes in a diatomic molecule can be calculated for any molecule by the formula.
- The number of modes for a nonlinear molecule will be determined as 3N−6 and that for the case of a linear molecule is 3N−5 .
- For a diatomic molecule, where N = 2 then the number of modes will be 3×2−5=1.
- Thus a diatomic molecule has one normal mode of vibration, which will be only stretch or compress the single bond.
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