Say we have a Quantum Dot with $$n=10^{26}m^{-3}$$ and radius $$R = 3nm$$ then this will give us of the order of 13 electrons. My question is how do you relate the number of electrons to the quantum numbers n and l in order to use the spherical Bessel function values?(adsbygoogle = window.adsbygoogle || []).push({});

In class for 13 electrons we were given $$n,l=0,2 (^{1}D)$$ which he then inserted into the formula as $$E_{0,2}= \frac{\hbar^{2} \beta_{0,2}^{2}}{2m^{*}R^{2}}$$ which is the spacing between energy levels.

Just not sure how he got the n=0 l=2 and the shell^{1}D, any help would really be appreciated.

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# Energy Levels of Quantum Dots

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