Molybdenum Electron Configuration
Molybdenum (Mo, Z=42) has the anomalous electron configuration [Kr] 4d⁵ 5s¹ — not [Kr] 4d⁴ 5s² as Aufbau predicts. The half-filled 4d subshell provides extra stability, making Mo a classic exception alongside chromium.
Molybdenum — Electron Configuration
Atomic number 42 · Transition metal · Period 5, Group 6 · d-block
Anomalous Configuration — Half-Filled d-Shell Exception
The Aufbau principle predicts [Kr] 4d⁴ 5s² for Mo. The actual configuration is [Kr] 4d⁵ 5s¹ because one 5s electron shifts into 4d, achieving a half-filled (4d⁵) subshell. Five singly occupied d orbitals maximize exchange energy, making this arrangement more stable than the Aufbau prediction.
Subshell Breakdown
| Subshell | Type | Electrons | Max | Notation | Note |
|---|---|---|---|---|---|
| 1s | s, n=1 | 2 | 2 | 1s² | |
| 2s | s, n=2 | 2 | 2 | 2s² | |
| 2p | p, n=2 | 6 | 6 | 2p⁶ | |
| 3s | s, n=3 | 2 | 2 | 3s² | |
| 3p | p, n=3 | 6 | 6 | 3p⁶ | |
| 3d | d, n=3 | 10 | 10 | 3d¹⁰ | |
| 4s | s, n=4 | 2 | 2 | 4s² | |
| 4p | p, n=4 | 6 | 6 | 4p⁶ | |
| 4d | d, n=4 | 5 | 10 | 4d⁵ | Half-filled — anomalous |
| 5s | s, n=5 | 1 | 2 | 5s¹ | Aufbau predicts 5s² |
| Total | 42 | ||||
Full Configuration
1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶ 4d⁵ 5s¹
All subshells written explicitly.
Noble-Gas Shorthand
[Kr] 4d⁵ 5s¹
[Kr] = 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶ (36 electrons).
Aufbau Prediction vs. Actual Configuration
Aufbau Prediction
[Kr] 4d⁴ 5s²
Fills 5s first, then 4d — gives 4 electrons in 4d, 2 in 5s.
Incorrect for Mo
Actual Ground State
[Kr] 4d⁵ 5s¹
One 5s electron shifts to 4d — five singly occupied d orbitals, maximizing exchange energy.
Correct
Shell Fill Summary
Shell 4 can hold up to 32 electrons (4s + 4p + 4d + 4f). Mo uses 13 of those 32 slots. Shell 5 holds 1 of a possible 50 electrons.
Summary
Molybdenum (Mo, Z=42) has the anomalous electron configuration [Kr] 4d⁵ 5s¹ — not [Kr] 4d⁴ 5s² as Aufbau predicts. The half-filled 4d subshell provides extra stability, making Mo a classic exception alongside chromium.
How it works
- The Aufbau principle normally fills 5s before 4d, predicting [Kr] 4d⁴ 5s² for molybdenum.
- Instead, one 5s electron migrates to 4d, yielding [Kr] 4d⁵ 5s¹ — a half-filled d subshell.
- A half-filled subshell (all five 4d orbitals singly occupied) is unusually stable: reduced electron-electron repulsion and maximized exchange energy.
- The exchange-energy gain outweighs the small energy cost of promoting one 5s electron.
- The result: 42 electrons arranged as 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶ 4d⁵ 5s¹.
- Chromium (Z=24) shows an identical pattern one period above — [Ar] 3d⁵ 4s¹ instead of [Ar] 3d⁴ 4s².
Use cases
- Verify molybdenum's actual ground-state configuration vs. the Aufbau prediction.
- Understand why molybdenum is a classic exception to the Aufbau principle.
- Study exchange energy and half-filled d-subshell stability concepts.
- Compare molybdenum's anomaly with chromium (Z=24) in the same Group 6.
- Review oxidation states (+4, +6) and how the d⁵ configuration relates to Mo chemistry.
- Use the quantum-number table for all 42 electrons in exam preparation.
- Teaching aid for inorganic chemistry courses on d-block electronic structure.
- Quick reference for periodic trends across Period 5 transition metals.