Pls pls pls pls, this is a Numerical Example Of Rotational Energy, pls help to solve it, pls rd below....
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# Pls pls pls pls, this is a Numerical Example Of Rotational Energy, pls help to solve it, pls rd below....

[From: ] [author: ] [Date: 11-10-07] [Hit: ]
PLS HELP ME WITH THIS FOR EXAMS-If you arent told the type of molecule, or any values you can get I from,Let A = h^2/(8pi^2I).For J = 1,For J = 2,For J = 3,......
I Am Asked To Calculate Rotational Energy Of Each Level & Rotational Energy Difference Between Each Level By Formulae E=h^2/8pi^2I*J(J+1), where J is rational Quantum number, I inertia, * is multiply. They Have Provided J=1,2,3. How To Find, Its Rigid Rotator & inertia is not provided, I WILL BE EXTREMELY THANKFUL FOR RIGHT ANSWER, PLS HELP ME WITH THIS FOR EXAMS

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If you aren't told the type of molecule, or any values you can get 'I' from, just state that you don't have this information so have given the results algebraically:

Let A = h^2/(8pi^2I). Then the energy levels are:
For J = 1, E1 = Ax1x(1+1) = 2A
For J = 2, E2 = Ax2x(2+1) = 6A
For J = 3, E3 = Ax3x(3+1) = 12A

The energy level difference are:
For J = 2 to J = 1, E21 = E2 - E1 = 6A - 2A = 4A
For J = 3 to J = 1, E31 = E3 - E1 = 12A - 2A = 10A
For J = 3 to J = 2, E321 = E3 - E2 = 12A - 6A = 6A

If you really want actual values, you can say you have chosen to use hydrogen since no specific figures were provided. For hydrogen I = 4.6x10^-48 kgm^2. (e.g. see link - you might find a better reference if you spend some time searching).

A = h^2/(8pi^2I) = (6.63x10^-34)^2/(8 x pi^2 x 4.6x10^-48) = 3.8x10^-21 J
You can then use this value of A to find the actual values, in joules, above.
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