(a) Show that the total number of atomic states (including different spin states) in a shell of principal quantum number n is 2n2. (b) Which shell has 50 states?
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For each value of l, there are 2l+1 possible values of the magnetic quantum number m_l, ranging from -l to l. Show more…
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(a) Show that the total number of atomic states (including different spin states) in a shell of principal quantum number $n$ is $2 n^{2}$.
(a) Show that the total number of atomic states (including different spin states) in a shell of principal quantum number $n$ is 2$n^{2}$ . [Hint: The sum of the first $N$ integers $1+2+3+\cdots+N$ is equal to $N(N+1) / 2 . ](\mathrm{b})$ Which shell has 50 states?
Prabhat T.
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