For a diatomic molecule with the vibrational quantum number n and rotational quantum number J, the vibrational level spacing ΔEn = En - En - 1 and the rotational level spacing ΔEJ - EJ - EJ - 1 are approximately
If R1 is the value of the Rydberg constant assuming mass of the nucleus to be infinitely large compared to that of an electron, and if R2 is the Rydberg constant taking nuclear mass to be 7500 times the mass of the electron, then the ratio R1R2 is
Three values of rotational energies of molecules are given below in different units
P = 10 cm-1
Q = 10-23 J
R = 104 MHz
Choose the correct arrangement in the increasing order of energy.
Light of wavelength 1.5 μm incident on a material with a characteristic Raman frequency of 20 × 1012 Hz results in a Stokes-shifted line of wavelength
[Given : c = 3 × 108 m/s]
The pure rotational level of a molecule in the far-infrared region follows the formula F(J) = BJ(J + 1), where F(J) is the energy of the rotational level with quantum number J and B is the rotational constant. The lowest rotational energy gap in rotational Raman spectrum is
In a Raman scattering experiment, light of frequency ν from a laser is scattered by diatomic molecules having the moment of inertia I. The typical Raman shifted frequency depends on
CO2 molecule has the first few energy levels uniformly separated by approximately 2.5 meV. At a temperature of 300 K, the ratio of the number of molecules in the 4th excited state to the number in the 2nd excited state is about