The principal quantum number n = 2 corresponds to the second electron shell. It contains two subshells, not three:
The azimuthal quantum number ℓ ranges from 0 to n−1. For n = 2, ℓ can only be 0 (s) or 1 (p). The d subshell (ℓ = 2) first appears at n = 3 (3d). The original answer stating "s, p, and d" for n=2 is incorrect.
| Shell (n) | Allowed ℓ values | Subshells | Orbitals | Max e⁻ |
|---|---|---|---|---|
| 1 | 0 | 1s | 1 | 2 |
| 2 | 0, 1 | 2s, 2p | 1 + 3 = 4 | 8 |
| 3 | 0, 1, 2 | 3s, 3p, 3d | 1 + 3 + 5 = 9 | 18 |
The n=2 shell has exactly two subshells: 2s and 2p. The d subshell begins at n=3. This quantum rule (ℓ ≤ n−1) is fundamental to atomic structure and the periodic table's shape.