Stability of Half-Filled and Fully-Filled Subshells
Start with the big picture
Half-filled configurations such as p³, d⁵, and f⁷ benefit from exchange energy associated with parallel-spin electrons in degenerate orbitals. The number of possible exchanges rises with the number of parallel spins, with the greatest exchange stabilization at half filling. Fully filled subshells, including p⁶, d¹⁰, and f¹⁴, also benefit from spherical symmetry, which reduces electron–electron repulsion. These energy effects can favor configurations such as chromium’s [Ar] 4s¹ 3d⁵ and copper’s [Ar] 4s¹ 3d¹⁰ over simpler expected arrangements. The effect is context-dependent: subshell energy gaps can outweigh the stabilization, and promoted electrons may be removed first during ionization. The lesson connects these configurations with Hund’s rule and broader periodic and magnetic behavior.
What you'll learn
- Identify common half-filled and fully filled subshell configurations.
- Explain how parallel-spin exchanges contribute to subshell stability.
- Describe the stabilizing role of spherical symmetry in filled subshells.
- Relate subshell stability to electron promotion and configuration anomalies.
- Recognize that stability effects depend on competing energy differences.
Continue your study
Work through the complete notes and reinforce the topic with the study tools available in the full lesson.