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Triatomic molecule

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Through Molecule, Atom and Water

Molecular vibrations

The vibrational modes of a triatomic molecule can be determined in specific cases.

Symmetric linear molecules

A symmetric linear molecule ABA can perform:

  • Antisymmetric longitudinal vibrations with frequency
ωa=k1MmAmB
  • Symmetric longitudinal vibrations with frequency
ωs1=k1mA
  • Symmetric transversal vibrations with frequency
ωs2=2k2MmAmB

In the previous formulas, M is the total mass of the molecule, mA and mB are the masses of the elements A and B, k1 and k2 are the spring constants of the molecule along its axis and perpendicular to it.

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