An H2 molecule is in its vibrational and rotational ground states. It absorbs a photon of wavelength 2.2112 µm and makes a transition to the ν = 1, J = 1 energy level. It then drops to the ν = 0, J = 2 energy level while emitting 6/9 SIX1011 a photon of wavelength 2.4054 µm. Calculate (i) the moment of inertia of the H2 molecule about an axis through its centre of mass and perpendicular to the H − H bond, (ii) the vibrational frequency of the H2 molecule, and (iii) the equilibrium separation distance for this molecule.
An H2 molecule is in its vibrational and rotational ground states. It absorbs a photon of wavelength 2.2112 µm and makes a transition to the ν = 1, J = 1 energy level. It then drops to the ν = 0, J = 2 energy level while emitting 6/9 SIX1011 a photon of wavelength 2.4054 µm. Calculate (i) the moment of inertia of the H2 molecule about an axis through its centre of mass and perpendicular to the H − H bond, (ii) the vibrational frequency of the H2 molecule, and (iii) the equilibrium separation distance for this molecule.
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Question
An H2 molecule is in its vibrational and rotational ground states. It absorbs a
photon of wavelength 2.2112 µm and makes a transition to the ν = 1, J = 1
energy level. It then drops to the ν = 0, J = 2 energy level while emitting
6/9
SIX1011
a photon of wavelength 2.4054 µm. Calculate (i) the moment of inertia of the
H2 molecule about an axis through its centre of mass and perpendicular to
the H − H bond, (ii) the vibrational frequency of the H2 molecule, and (iii) the
equilibrium separation distance for this molecule.
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