The frequencies of the first and second overtones respectively are exactly double and triple of the fundamental vibration frequency. Comment.
In atomic and molecular spectroscopy, the statement that the first and second overtones have frequencies exactly double and triple of the fundamental vibration frequency applies ideally only to a perfectly harmonic oscillator. In the harmonic approximation, the vibrational energy levels of a diatomic molecule are equally spaced, with the energy difference between successive levels given by (E_v = (v + \frac{1}{2})h\nu), where (v) is the vibrational quantum number and __________ _____ ________ _______ ______ ________ _____ ___.
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What are different mechanisms that contribute to the relaxation of nuclear spins in the excited state? Explain any one of them.
The lifetime of (excited state) is
. If the excited state is
above the ground state determine the linewidth
and ratio
.
Calculate the ESR frequency of an unpaired electron in a magnetic field of 3000 G (0.3 T).
[Given: ;
; and
]
The rotational Raman spectrum of a diatomic molecule has the first line of a series of Stokes and anti-Stokes lines at , relative of the
of incident light. What would be its bond length.
Isomer shift (b) Spin-Spin splitting
Assuming that the force constants of H-Cl and D-Cl are the same, calculate the fundamental vibration frequency of D-Cl if that of H-Cl is .
What are different mechanisms that contribute to the relaxation of nuclear spins in the excited state? Explain any one of them.