Compute ground-state electron configurations, noble gas shorthand, and valence electrons for any element (Z=1–118). Interactive visualisation of quantum shell filling — perfect for chemistry students, educators, and researchers.
Electron configuration describes the distribution of electrons in atomic orbitals. It follows fundamental quantum rules: the Aufbau principle (electrons fill lowest-energy orbitals first), Pauli exclusion principle (each orbital holds max 2 electrons with opposite spin), and Hund's rule (electrons singly occupy degenerate orbitals before pairing).
Orbital energy ordering (n+l rule): 1s < 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s < 4d < 5p < 6s < 4f < 5d < 6p < 7s < 5f < 6d < 7p …
This calculator implements ground-state configurations for all 118 elements, including special exceptions due to enhanced stability from half-filled or fully filled subshells (e.g., Cr, Cu, Mo, Ag, Au, Np, Cm). The data follows IUPAC-recommended values and peer-reviewed literature.
Europium has configuration [Xe] 4f⁷ 6s². The half‑filled 4f subshell provides extraordinary stability, making Eu²⁺ common in phosphors for LED and fluorescent lamps. This calculator instantly reveals why such rare earth elements exhibit unique optical properties.
Gold's configuration 6s¹ 5d¹⁰ (instead of 6s² 5d⁹) arises from relativistic contraction of the 6s orbital. This makes gold the only metallic element with a non‑silvery colour (yellow‑orange) and high resistance to tarnish – a direct consequence of its electronic structure.
The modern electron configuration model builds on Niels Bohr's atomic model, Erwin Schrödinger's wave equation, and Wolfgang Pauli's exclusion principle. The Madelung rule (n+l rule) was empirically derived to explain the periodic table's structure. The exceptional configurations (like Cu [Ar]4s¹3d¹⁰ instead of 4s²3d⁹) were explained through interelectronic repulsion and exchange energy, validated by atomic spectroscopy. Our calculator respects all known ground-state anomalies up to element 118, conforming to authoritative sources like NIST Atomic Spectra Database and CRC Handbook.
| Element (Z) | Expected (naive) | Actual ground state | Reason |
|---|---|---|---|
| Chromium (24) | [Ar] 4s² 3d⁴ | [Ar] 4s¹ 3d⁵ | Half-filled d-subshell stability |
| Copper (29) | [Ar] 4s² 3d⁹ | [Ar] 4s¹ 3d¹⁰ | Filled d-subshell |
| Molybdenum (42) | [Kr] 5s² 4d⁴ | [Kr] 5s¹ 4d⁵ | Half-filled 4d |
| Palladium (46) | [Kr] 5s² 4d⁸ | [Kr] 4d¹⁰ | Filled 4d subshell |
| Silver (47) | [Kr] 5s² 4d⁹ | [Kr] 5s¹ 4d¹⁰ | Filled 4d + 5s¹ |
| Gold (79) | [Xe] 6s² 4f¹⁴ 5d⁹ | [Xe] 6s¹ 4f¹⁴ 5d¹⁰ | Relativistic effects + filled 5d |
| Neptunium (93) | [Rn] 5f⁵ 7s² | [Rn] 5f⁴ 6d¹ 7s² | Enhanced stability (f⁴) |
| Curium (96) | [Rn] 5f⁸ 7s² | [Rn] 5f⁷ 6d¹ 7s² | Half-filled f⁷ stability |
Our algorithm uses an exhaustive internal exception library verified against IUPAC Technical Reports and the NIST Atomic Spectra Database, ensuring scientific rigor.