Quantum Numbers

Question

Maximum number of electrons possible in the shell with n = 4 is:

RankGuru · Accepted Answer

1. **Orbital Capacity**: According to Pauli's Exclusion Principle, each orbital can hold a maximum of 2 electrons with opposite spins.
2. **Shell Capacity Formula**: Since there are $n^2$ orbitals in a shell, the maximum number of electrons is **$2n^2$**.
3. **Calculation for $n = 4$**:
   - Number of orbitals $= n^2 = 4^2 = 16$.
   - Maximum electrons $= 2 	imes 16 = 32$.
4. **Subshell Breakup**: 
   - 4s (2) + 4p (6) + 4d (10) + 4f (14) = $32$.

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