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What is the maximum number of electrons that can be accommodated in all the completely filled atomicAtomic Structure Chemistry Question

Question

What is the maximum number of electrons that can be accommodated in all the completely filled atomic orbitals for which the principal quantum number $n=4$ and the azimuthal quantum number $l=3$?

Answer: A

💡 Solution & Explanation

The combination $n=4$ and $l=3$ corresponds exclusively to the $4f$ subshell. The number of degenerate orbitals in a subshell is given by $(2l + 1)$. For $l=3$, there are $2(3) + 1 = 7$ orbitals. Since each orbital can hold a maximum of $2$ electrons (Pauli exclusion principle), the maximum capacity is $7 \times 2 = 14$ electrons.

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