What it does
An electron configuration lists which orbitals (subshells) an atom's electrons occupy in its lowest-energy state. This calculator gives the full configuration, the noble-gas shorthand, the electrons in each shell and the period for every element from hydrogen to oganesson. Where nature doesn't follow the textbook filling order, it gives the measured ground state from the NIST Atomic Spectra Database and shows what the simple rule would have predicted.
How it's worked out
Electrons fill subshells in order of increasing n + l (the Aufbau or Madelung rule), taking the lower n first when there's a tie. An s subshell holds 2 electrons, p holds 6, d holds 10 and f holds 14.
The noble-gas shorthand replaces the inner electrons with the symbol of the previous noble gas in brackets, so iron's 1s2 2s2 2p6 3s2 3p6 4s2 3d6 becomes [Ar] 4s2 3d6. The calculator lists subshells in filling order; it also shows them ordered by shell (3d before 4s), which is how NIST writes them.
Worked example: chromium
Chromium has 24 electrons. Following the filling order gives [Ar] 4s2 3d4. But spectroscopy shows chromium's ground state is actually [Ar] 3d5 4s1: one electron moves from 4s to 3d, giving a half-filled d subshell. Copper does the same thing with a full d subshell: [Ar] 3d10 4s1, not 4s2 3d9.
The exceptions
Twenty elements up to hassium (108) have a measured ground state that differs from the filling order:
| Element | Filling order predicts | Measured (NIST) |
|---|---|---|
| Cr (24) | [Ar] 4s2 3d4 | [Ar] 3d5 4s1 |
| Cu (29) | [Ar] 4s2 3d9 | [Ar] 3d10 4s1 |
| Nb (41) | [Kr] 5s2 4d3 | [Kr] 4d4 5s1 |
| Mo (42) | [Kr] 5s2 4d4 | [Kr] 4d5 5s1 |
| Ru (44) | [Kr] 5s2 4d6 | [Kr] 4d7 5s1 |
| Rh (45) | [Kr] 5s2 4d7 | [Kr] 4d8 5s1 |
| Pd (46) | [Kr] 5s2 4d8 | [Kr] 4d10 |
| Ag (47) | [Kr] 5s2 4d9 | [Kr] 4d10 5s1 |
| La (57) | [Xe] 6s2 4f1 | [Xe] 5d1 6s2 |
| Ce (58) | [Xe] 6s2 4f2 | [Xe] 4f1 5d1 6s2 |
| Gd (64) | [Xe] 6s2 4f8 | [Xe] 4f7 5d1 6s2 |
| Pt (78) | [Xe] 6s2 4f14 5d8 | [Xe] 4f14 5d9 6s1 |
| Au (79) | [Xe] 6s2 4f14 5d9 | [Xe] 4f14 5d10 6s1 |
| Ac (89) | [Rn] 7s2 5f1 | [Rn] 6d1 7s2 |
| Th (90) | [Rn] 7s2 5f2 | [Rn] 6d2 7s2 |
| Pa (91) | [Rn] 7s2 5f3 | [Rn] 5f2 6d1 7s2 |
| U (92) | [Rn] 7s2 5f4 | [Rn] 5f3 6d1 7s2 |
| Np (93) | [Rn] 7s2 5f5 | [Rn] 5f4 6d1 7s2 |
| Cm (96) | [Rn] 7s2 5f8 | [Rn] 5f7 6d1 7s2 |
| Lr (103) | [Rn] 7s2 5f14 6d1 | [Rn] 5f14 7s2 7p1 |
Limitations
- Elements 109 to 118 (meitnerium to oganesson) have never had their ground states measured; only a few atoms have ever been made. For these the calculator shows the filling-order configuration and labels it as predicted.
- These are configurations of neutral atoms in the gas phase. Ions are different: transition metals lose their outer s electrons first, so Fe2⁺ is [Ar] 3d6, not [Ar] 4s2 3d4.
- Some school courses only expect the filling-order answer. If your teacher hasn't covered exceptions, check which one they want.