Okay I finally got the mentioned answer by considering one Stokes line and other Anti-Stokes.
I constructed following equations:
##(E_1+P) - E_0## = hc/(3430 A)
##(E_1+P) - E_2## = hc/(2670 A)
Solving these two equations (subtracting them and substituting values of ##E_0## and ##E_2##) finally...
Thanks a lot for clearing my doubt sir.
Can we suppose that the first line be Rayleigh and second be Stokes?
In that case we can write
##(E_0 + P) - E_0## = Energy corresponding to 2670 ##Å##
##(E_0 + P) - E_1## = Energy corresponding to 3430 ##Å##
Solving these two equations, giving me the...
Thanks for the response, sir.
The question might be incomplete or incorrect, as I too felt I require additional information to proceed.
I consider to approach the first question as, since we bombarded photons of energy ##P## at the molecule and given that we obtain the Raman lines at these two...
I know that for the vibrational Raman spectrum, the energy levels are given by-
E(n) = ℏω(n+1/2) - χℏω(n+1/2)^2
But I'm not getting what does it meant by the Raman lines are observed at given values of wavelengths and the fundamental vibrational frequency.
I equated the E(0) with the energy...
TL;DR Summary: Theoretical astrophysics research status in ISRO, India
I am from India and want to be an astrophysicist serving my nation. Whenever I check about any ISRO news, it is always about some engineering achievements, like the launch vehicle and never about pure theoretical research...
I am able to prove that it is 0.225 but how do I prove that it is also 0.414?
I need to find the max. and min. packing fraction values, which I got as a function of (r1/r2)
Please help
Yes sir.
Can I follow this approach:
For two spins => 1/2 + 1/2 = 1 way
For four spins => (-1/2) + 1/2 + 1/2 + 1/2 = 4 ways since minus sign can be on any of the 4 spins
For six spins => (-1/2) + (-1/2) + 1/2 + 1/2 + 1/2 + 1/2 = 15 ways of arranging minus signs
Likewise, for 2N spins, total no...
To the extent I understood this question, we have to enumerate the total no. of ways to get a total of spin S = 1 from 2N number of spin-1/2's.
Now, I think that by spin-1/2's, the question is referring to s1 = s2 = 1/2 (and not something like 3/2, 5/2, ...).
When N = 1, we have 1/2 + 1/2 => No...