- #1
rwooduk
- 762
- 59
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?
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 1D, any help would really be appreciated.
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 1D, any help would really be appreciated.