Orbitals and electronic configuration

MDCAT Chemistry · Chemistry · Atomic structure. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

The wave model does not give the electron a fixed path. It gives an orbital: a region of space where the electron is most likely to be found. Each orbital holds at most two electrons.

Four quantum numbers describe an electron. Three of them (n, l and m) come from Schrödinger's wave equation and describe the orbital. The fourth, the spin quantum number s, describes the electron itself.

An s orbital is a sphere, and a 2s orbital is larger than a 1s orbital. A p orbital has a dumb-bell shape, and each shell from n = 2 has three of them at right angles. Electrons fill the orbitals of lowest energy first.

Rules to remember

Common mistake

Students pair up p or d electrons too early when counting unpaired electrons. Put one electron in each orbital of the subshell first, then start pairing.

Worked example

How many unpaired electrons are there in a ground-state iron atom (Z = 26)?

  1. Fill in Aufbau order: 1s2 2s2 2p6 3s2 3p6 4s2 3d6 (2 + 2 + 6 + 2 + 6 + 2 + 6 = 26).
  2. All subshells except 3d are full, so all their electrons are paired.
  3. The 3d subshell has 5 orbitals. By Hund's rule the first 5 electrons go in singly and the 6th pairs with one of them.
  4. That leaves 1 pair and 4 single electrons.

Answer: 4 unpaired electrons

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