Electron Configuration

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orbitals aufbau Pauli-exclusion Hunds-rule valence-electrons subshells

Core Idea

Electrons fill atomic orbitals in order of increasing energy following the Aufbau principle, with at most two electrons per orbital (Pauli exclusion principle) and one electron in each degenerate orbital before pairing begins (Hund's rule). The resulting electron configuration — for example, 1s²2s²2p⁶ — specifies how electrons are distributed across subshells. The outermost electrons (valence electrons) govern chemical bonding and reactivity, while the periodic table's block structure directly reflects orbital filling order.

How It's Best Learned

Practice writing full and noble-gas shorthand configurations for elements across the periodic table, using the periodic table's block layout as a guide. Pay special attention to exceptions like Cr ([Ar]3d⁵4s¹) and Cu ([Ar]3d¹⁰4s¹), where half-filled or fully filled d subshells provide extra stability.

Common Misconceptions

Explainer

Your knowledge of atomic structure tells you that electrons occupy energy levels around the nucleus. Electron configuration systematizes exactly where those electrons go — which subshells, how many in each, and in what arrangement. Three rules govern the filling.

The Aufbau principle says electrons fill orbitals in order of increasing energy. The periodic table's block structure gives you the sequence: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p... The fact that 4s fills before 3d reflects a quantum mechanical result — when the 3d subshell is empty, 4s sits at slightly lower energy. The Pauli exclusion principle caps each orbital at two electrons with opposite spins. An orbital is a quantum state defined by four quantum numbers; no two electrons can share all four, so the maximum occupancy per orbital is two. Hund's rule resolves what happens when multiple orbitals of equal energy (degenerate orbitals) are available: electrons spread out with parallel spins first, pairing only when no empty orbitals remain. Pairing costs energy because two electrons in the same orbital repel each other more strongly than two in separate orbitals.

The practical skill is writing configurations quickly. Using noble-gas shorthand, you replace all filled inner shells with the symbol of the preceding noble gas in brackets: iron is [Ar]3d⁶4s² rather than the full 26-electron string. The periodic table makes this mechanical — count along the s-block (left), p-block (right), d-block (middle transition metals), or f-block (lanthanides and actinides) to track which subshell you are filling.

A critical exception catches many students: when a transition metal loses electrons to form a cation, the Aufbau sequence reverses. Electrons are removed from the highest principal quantum number first. For iron (Fe: [Ar]3d⁶4s²), losing two electrons gives Fe²⁺: [Ar]3d⁶ — not [Ar]3d⁴4s², as you might guess by undoing the filling order. The 4s electrons leave first because ionization shifts the relative energies of 4s and 3d, making 4s higher in energy in the cation. This has real consequences: transition metal ions like Fe²⁺ and Fe³⁺ differ by one 3d electron, affecting their color, magnetism, and reactivity.

Finally, the periodic table's block structure is a physical map of orbital filling. Elements in the same group share the same valence electron count and therefore similar chemistry. The valence electrons — those in the outermost shell — are what bond with other atoms. Understanding electron configuration is not just bookkeeping; it is the structural foundation for all of chemical bonding, periodic trends, and spectroscopic properties.

Practice Questions 3 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIterated Integrals and Fubini's TheoremDouble Integrals in Cartesian CoordinatesDouble Integrals over Rectangular RegionsDouble Integrals in Polar CoordinatesDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsGreen's TheoremSurface Integrals and Flux of Vector FieldsSurface Integrals and Flux of Vector FieldsDivergence Theorem: Flux and OutflowDivergence TheoremElectric FluxGauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesThe Electromagnetic SpectrumBlackbody Radiation and Planck's LawPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthHeisenberg Uncertainty PrincipleWavefunction and the Born RuleThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsScattering TheoryIntroduction to Scattering TheoryPartial Wave Analysis in ScatteringSpin Angular MomentumElectron Spin and Intrinsic Magnetic MomentStern-Gerlach Experiment: Spin Quantization and MeasurementElectron Diffraction and Matter Wave PropertiesDavisson-Germer Experiment: Crystal Diffraction of ElectronsElectron Diffraction and Matter Wave InterferenceWavefunctions and Probability Density InterpretationQuantum Superposition and Linear Combinations of StatesQuantum Operators and ObservablesCanonical Commutation Relations and UncertaintyHeisenberg Uncertainty Principle and Measurement LimitsTime-Independent Schrödinger Equation and EigenvaluesHydrogen Atom in Quantum MechanicsSpectral Lines and Energy TransitionsSelection Rules for Atomic TransitionsLS and jj Coupling Schemes in Multi-Electron AtomsPauli Exclusion Principle and Antisymmetric WavefunctionsElectron Configuration and the Aufbau PrincipleThe Periodic Table and Atomic Electronic StructureThe Periodic TableElectron Configuration

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