Infrared spectroscopy zero-point energies

As an example the discussion here is based on the discrimination between reactivity at a C—H and a C—D bond. There is no discrimination between the electronic, rotational or translational properties of H and D atoms. The vibrational frequencies observed by infrared spectroscopy are near the values of 2900 cm for C—H and 2100 cm for C—D. The zero point energy of vibration e is given by... 

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