IB ChemistryStructure 33.13.1.7

Discontinuities in IE Trends

Period 3 anomalies explained by sub-shell structure and electron pairing.

Structure 3.1 HL Extension ⏱️ ~5 min revision

IB Understanding

First ionisation energy (IE₁) is the minimum energy required to remove one mole of electrons from one mole of gaseous atoms in their ground state:

M(g) → M⁺(g) + e⁻

The general trend across Period 3 is an increase in IE₁ due to increasing nuclear charge while electron shielding remains relatively constant. However, there are two distinct discontinuities that provide empirical proof for the existence of energy sublevels.

First Ionisation Energies of Period 3 Elements

First ionisation energies of Period 3 elements showing general increase with drops at Al and S 0 500 1000 1500 1st Ionisation Energy / kJ mol⁻¹ Na 496 Mg 738 Al 578 Si 789 P 1012 S 1000 Cl 1251 Ar 1521

Anomaly 1: Mg → Al

Subshell Dip

Magnesium to Aluminium (Mg → Al): 3s vs 3p Subshell

Mg (\([\text{Ne}]\,3\text{s}^2\)): Electron removed from \(3\text{s}\) subshell.
Al (\([\text{Ne}]\,3\text{s}^2\,3\text{p}^1\)): Electron removed from \(3\text{p}\) subshell.

The \(3\text{p}\) subshell is higher in energy and partially shielded by the \(3\text{s}^2\) pair. Consequently, less energy is required to ionise Aluminium than Magnesium despite the higher nuclear charge.

Anomaly 2: P → S

Spin-Pairing Dip

Phosphorus to Sulfur (P → S): Spin-Pairing Repulsion

P (\([\text{Ne}]\,3\text{s}^2\,3\text{p}^3\)): Half-filled \(3\text{p}\) subshell with 3 unpaired electrons (\(\uparrow\, \uparrow\, \uparrow\)).
S (\([\text{Ne}]\,3\text{s}^2\,3\text{p}^4\)): One paired \(3\text{p}\) orbital (\(\uparrow\!\downarrow\, \uparrow\, \uparrow\)).

The paired electron in Sulfur experiences spin-pair repulsion within the doubly occupied orbital, raising its energy and lowering the first ionisation energy below that of Phosphorus.

Electron Configuration Summary

Element Config IE₁ (kJ mol⁻¹) Explanation
Na3s¹496One 3s electron, easily removed
Mg3s²738Full 3s, higher Zeff
Al3s² 3p¹5783p electron higher energy → easier to remove
Si3s² 3p²789Increasing Zeff
P3s² 3p³1012Half-filled 3p, no pairing
S3s² 3p⁴1000Spin-pair repulsion in paired orbital
Cl3s² 3p⁵1251Increasing Zeff dominates
Ar3s² 3p⁶1521Full outer shell, highest Zeff
Common IB Mistake

Avoid "Half-Filled Octet Stability" Fallacy

Do NOT explain these anomalies in IB exams using "special stability of half-filled subshells". IB mark schemes strictly reward explanations based on relative orbital energy levels (3s vs 3p) and spin-pairing inter-electronic repulsion.

Exam Technique

Comparing Period 2 and Period 3 Anomalies

Period 3 anomalies directly mirror Period 2 (\(\text{Be}\rightarrow\text{B}\) and \(\text{N}\rightarrow\text{O}\)). Be prepared to write electron configurations and orbital box diagrams for both periods, as exam questions frequently ask students to compare the two periods directly.

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