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<div class="moz-cite-prefix">On 03/16/2017 06:15 PM, wrote:<br>
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cite="mid:847b168fff3c4230acea68d30e52aaec@spiderman.MercerU.local"
type="cite">
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<p>I am having trouble with deriving the equation for 3g. I am
completely lost on the problem
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<br>
Since we know the 3D eigenvalue expression is going to be something
like <br>
<br>
<img style="vertical-align: middle"
src="cid:part1.E3D256B0.F1357F6F@mercer.edu" alt="$E = (n_x +
\frac{1}{2}) h \nu_x + (n_y + \frac{1}{2}) h \nu_y + (n_z +
\frac{1}{2}) h \nu_z $"><br>
<font face="Calibri, sans-serif"><b></b></font><br>
and since the problem tells you that you are dealing with the
isotropic case (<img style="vertical-align: middle"
src="cid:part2.FF1B0080.F59B8641@mercer.edu" alt="$k_x=k_y=k_z$">),
which <br>
means that the <img style="vertical-align: middle"
src="cid:part3.AACB3A26.F9901E8F@mercer.edu" alt="$\nu$">'s have
to equal each other, you could come up with<br>
<br>
<img style="vertical-align: middle"
src="cid:part4.12660A0E.EBF6C834@mercer.edu" alt="$E = (n_x + n_y
+ n_z + \frac{3}{2}) h \nu$"><br>
<br>
<br>
<pre class="moz-signature" cols="72">--
Andrew J. Pounds, Ph.D. (<a class="moz-txt-link-abbreviated" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>)
Professor of Chemistry and Computer Science
Mercer University, Macon, GA 31207 (478) 301-5627
<a class="moz-txt-link-freetext" href="http://faculty.mercer.edu/pounds_aj">http://faculty.mercer.edu/pounds_aj</a>
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