[CHM 331] 9.33
Andrew J. Pounds
pounds_aj at mercer.edu
Sun Sep 16 16:06:14 EDT 2012
It's fine with me if you want to do it that way because I essentially
wrote that equations for you on the board. Another way to do it would
be to find the expectation value of the energy using the wavefunction.
That would require a double integal of the form <Y|H|Y> using the
notation I showed you in class the other day. In this latter case you
would have to use the Hamiltonian with the Laplacian in spherical polar
coordinates.
On 09/16/2012 03:10 PM, Christine.O.Conroy wrote:
> 9.33 is listed as a problem that might need a program like mathmatica
> to help solve it, but it seems pretty simple to me so I was wondering
> if there is more work I should be showing.
>
> It asks us to calculate the rotational energy and the angular momentum
> for a wavefunction given by the spherical harmonic Y01.
>
> Just from Y01 you can see that l=1 so using the equation E=
> (l(l+1)hbar^2 )/2I you find that E= hbar^2/I.
>
> I am think maybe it wants us to derive that equation (9.144 from the
> book) from the equation 9.142, but I am not sure how to do that.
>
>
>
--
Andrew J. Pounds, Ph.D. (pounds at theochem.mercer.edu)
Associate Professor of Chemistry and Computer Science
Mercer University, Macon, GA 31207 (478) 301-5627
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