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Vibrations in the diatomic molecule CO can be approximated as
a harmonic oscillator, where the angular frequency
w = 6.505 × 1013 Hz and the reduced mass is equal to
u = 1.14 × 10-27 kg. Assume the molecule is in its first
excited vibrational state. Its vibrational wavefunction can then
be written as V1 (æ) = (÷)i /2a xe-T where a =
2α πe
If
we were to measure the bond length of the molecule, what is
the most likely displacement from the equilibrium bond distance
in the first excited vibrational state? Give your answer in
Angstroms [Note: The equilibrium displacement in the Quantum
harmonic oscillator corresponds to x =
= 0, ie the coordinate x
measures displacement from equilibrium]

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