If and are, respectively, the principal and azimuthal quantum numbers, then the expression for calcu — Atomic Structure Chemistry Question
Question
If $n$ and $l$ are, respectively, the principal and azimuthal quantum numbers, then the expression for calculating the total number of electrons in any energy level is
Answer: D
💡 Solution & Explanation
For a given shell $n$, the azimuthal quantum number $l$ ranges from $0$ to $n-1$. The number of electrons in a subshell is $2(2l+1)$. Therefore, the total number of electrons is the sum over all permissible $l$: $\sum_{l=0}^{n-1} 2(2l+1)$. Therefore, correct answer is D.
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