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Chemistry · Glossary

What is Atomic orbital, shell, subshell?

Also known as: atomic orbital · electron shell · subshell

Definition 1.7 University Chemistry — Year 1 · Chapter 1 — Quantum Numbers and Electron Configurations

An atomic orbital is the one-electron state labelled by the three numbers (n,l,ml)(n, l, m_l); it is drawn as one box, . The orbitals with the same nn form an electron shell; those with the same nn and ll form a subshell, named by nn and the letter of ll: 2p is the subshell n=2n = 2, l=1l = 1, made of three orbitals (ml=−1,0,1m_l = -1, 0, 1).

Examples

Example 1.10 (The third shell)

For n=3n = 3: l=0l = 0 (3s, one orbital), l=1l = 1 (3p, three orbitals), l=2l = 2 (3d, five orbitals, ml=−2,…,2m_l = -2, \dots, 2): nine orbitals and up to 18 electrons. An electron in 3d has, for instance, the quantum numbers (3,2,−1,+12)(3, 2, -1, +\tfrac12).

Example 1.18 (Carbon, nitrogen, oxygen, iron)

The method gives, for four atoms:

atomconfigurationlast subshellunpaired
C\ce{C} (Z=6Z = 6)[He] 2s22p2[\ce{He}]\,2\text{s}^2 2\text{p}^22p: 2
N\ce{N} (Z=7Z = 7)[He] 2s22p3[\ce{He}]\,2\text{s}^2 2\text{p}^32p: 3
O\ce{O} (Z=8Z = 8)[He] 2s22p4[\ce{He}]\,2\text{s}^2 2\text{p}^42p: 2
Fe\ce{Fe} (Z=26Z = 26)[Ar] 3d64s2[\ce{Ar}]\,3\text{d}^6 4\text{s}^23d: 4

For iron the Klechkowski order fills 4s (Z=19,20Z = 19, 20) before 3d (Z=21Z = 21 to 30); the configuration is written with 3d first.

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