i) The fundamental vibrational frequency of a molecule occurs at . Determine the position of Raman line if the molecule is excited with a laser of wavelength
.
To determine the position of a Raman line, we need to understand the relationship between the incident light, the vibrational frequency of the molecule, and the scattered light. Raman scattering involves inelastic scattering of photons, where the photon either loses energy (Stokes line) or gains energy (anti-Stokes line) corresponding to the vibrational __________ ____ ______ ________ ________ ___ ___ __________ _________ ________ ________.
______ ____ ________ ___ __________ _________ __________ ______.
_______ _____ _________ ____ ____ ________.
_______ _____ ___ ______ ________ ___.
______ ________ _____ ________ ______ ____ ______ _____ _____ ________ __________.
____ ______ ___ __________ ________ ________ __________ _______.
________ ________ ____ ____ ___ ____ __________.
___ ________ _________ _________ _____ _________ ____ __________.
_________ ______ _____ _______ __________.
________ ________ ____ _________ ______.
____ _____ ________ _________ __________ ______ ___ __________.
____ _____ _________ _________ _______ ____ ____ ________.
_________ ____ _____ _________ __________ ___.
__________ ________ ____ _____ __________ ________ _______ ____ __________ _______ ___ ___.
_____ ____ _________ ______ _______ _____ ____ _________ _________ _________.
____ ___ ______ ____ ___ _______ __________ _________ ____ ___ _____ ________.
_____ __________ ________ ____ _______ _______ __________ ____ __________ ________ ________.
________ ______ ______ _________ _________ _________ ___.
______ _________ __________ __________ _____ ________ ____ ___ _________ ______ ____ ___.
__________ _____ ______ _____ ______ _______ ____ ____.
_______ ________ __________ ______ ______ ___ ____ __________.
____ __________ _________ ___ __________ __________.
_____ ____ ________ _____ _____ ___ _______ ______.
________ _______ ___ __________ ____ ____ _____ _______ ___ __________.
______ ________ ____ __________ __________ ____ __________ ___ ______ _______.
_________ ___ _________ _______ ______ ______ ____ ___ _________.
___ _________ _____ __________ ______ ___ ___ ______ _________.
___ _____ __________ _______ __________ ___ ________ ______ ______ _____ ___ ________.
_____ ________ __________ ________ ____ ____ _______ ________ __________.
__________ _______ _____ _________ __________ _____ __________ __________ _________ ____ __________.
Get Full Answer on WhatsApp
Write the laser rate equation for a two level system and hence prove that the steady state population inversion cannot be achieved in a two level system.
Write the Hamiltonian of a multi-electron atom. Obtain an expression for the effective potential experienced by an electron of this atom under the central field approximation.
The rotational constant for the excited electronic state of a particular molecule is 20% smaller as compared to the rotational constant of its ground electronic state. Determine the values for the first 15 lines of the R-branch. Discuss the variation of the separation between successive transition lines of this branch.
Using molecular orbital method, construct all pssible trial wavefunctions (including spin) for a diatomic molecule. Of these functions, which trial function is expected to have the minimum energy? Give justification for your answer.
Determine the collisional width for laser operating at a gas pressure of
and gas temperature of
. Obtain the ratio of spontaneous and stimulated emission if the wavelength is
.
a) Determine the shift in energy caused by relativistic correction to kinetic energy for and
levels of hydrogen atom. Using appropriate selection rules, show which transitions are allowed.
Using Thomas-Fermi method, derive an expression for the total kinetic energy of N electrons in a cubic box of side L, and hence obtain the expression for pressure.