Aufbau principle, orbital filling, and energy levels
Electrons in atoms occupy orbitals — regions of space described by quantum numbers (n, l, ml, ms). The Aufbau principle states that electrons fill from lowest to highest energy. Each orbital holds at most 2 electrons with opposite spins (Pauli exclusion principle). When filling degenerate orbitals (same energy), electrons spread out with parallel spins first (Hund's rule). The filling order follows the (n+l) rule: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p... Notable exceptions: Cr is [Ar] 3d⁵4s¹ (half-filled d stability) and Cu is [Ar] 3d¹⁰4s¹ (fully-filled d stability). Electron configuration determines chemical properties and periodic trends.
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Sign in →Electron configuration is the complete address of every electron in an atom — which sublevel it occupies and how many electrons share that sublevel. The configuration of carbon, 1s²2s²2p², instantly tells a chemist that carbon has four valence electrons available for bonding, explaining why it forms four bonds in methane and two double bonds in CO₂. Three rules govern the address assignment: the Aufbau principle fills lowest-energy orbitals first, the Pauli exclusion principle limits each orbital to two electrons with opposite spins, and Hund's rule spreads electrons across degenerate orbitals singly before pairing. This simulation animates the filling sequence for any element Z=1 to 36, shows the noble-gas shorthand notation side by side with the full configuration, and flags the Cr and Cu exceptions where half-filled and fully filled d subshells break the expected pattern. Covered by AP Chem 1.B.1 and 1.C.1.
MisconceptionElectrons always fill the 3d subshell before the 4s because 3 is less than 4.
CorrectEnergy, not principal quantum number alone, sets filling order. The (n+l) rule places 4s (n+l = 4) below 3d (n+l = 5) for neutral atoms, so 4s fills first. The simulation's Aufbau sequence makes this ordering explicit at Z=19 (potassium).
MisconceptionChromium's configuration is [Ar]3d⁴4s² because you just keep filling in order.
CorrectChromium is [Ar]3d⁵4s¹. A half-filled d subshell has extra stabilization from exchange energy — the five 3d electrons singly occupy the five d orbitals with parallel spins, while the sixth valence electron sits alone in 4s. The energy gained by reaching 3d⁵ outweighs the cost of moving one electron from the otherwise filled 4s to the 3d set.
MisconceptionThe noble-gas shorthand is just a shortcut notation and doesn't carry any chemical meaning.
CorrectThe noble-gas core represents electrons that are chemically inert and tightly held. Everything written after the bracket — the valence configuration — determines bonding, reactivity, oxidation states, and periodic trends. [Ne]3s²3p⁴ for sulfur tells you immediately it has six valence electrons and can form two bonds or carry a −2 charge.
MisconceptionWhen a transition metal loses electrons to form a cation, the d electrons are removed first because they are outermost.
CorrectThe 4s electrons are removed first when forming cations, even though 4s filled before 3d. In the ionic state, 3d is lower in energy than 4s, so the 4s electrons are the highest-energy electrons and leave first. Fe²⁺ is [Ar]3d⁶, not [Ar]3d⁴4s².
MisconceptionHund's rule applies only to the p subshell.
CorrectHund's rule applies to any set of degenerate orbitals — p, d, or f. The five d orbitals of manganese (Z=25) each receive one electron with parallel spins before any pairing occurs, producing a [Ar]3d⁵4s² configuration with five unpaired electrons and strong paramagnetism.
Find the noble gas in the period above your element, write it in brackets, then continue filling from the next s subshell. For chlorine (17 electrons), the noble gas above it is neon (10 electrons), so the shorthand is [Ne]3s²3p⁵. Use the simulation's full configuration and orbital boxes as evidence, then convert the filled core into bracket notation yourself.
A completely filled d subshell (3d¹⁰) is extra stable due to symmetrical electron distribution and exchange energy. The energy gained by completing the d subshell outweighs the cost of having only one 4s electron. Copper and chromium are the two most commonly tested d-block exceptions in AP Chem 1.B.1.
AP Chem 1.B.1 requires students to write electron configurations using the Aufbau principle and identify exceptions for d-block elements — exactly what this simulation animates. NGSS HS-PS1-1 asks students to use the periodic table as a model to predict the relative properties of elements based on electron configurations and periodic trends, which the simulation supports by showing how configuration shifts element by element.
The Madelung rule states that orbitals fill in order of increasing (n+l) value. When two orbitals have the same (n+l), the one with the lower n fills first. For example, 4s has n+l = 4+0 = 4, while 3d has n+l = 3+2 = 5, so 4s fills before 3d. The sequence 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p follows directly from this rule.
Iron's configuration is [Ar]3d⁶4s². The 3d⁶ distributes across five d boxes: four boxes have one electron each and one box is paired, giving 4 unpaired electrons. This makes iron strongly paramagnetic. You can verify this by choosing the Iron preset or setting the Electrons slider to 26 and counting the single arrows in the 3d row.