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Electron Configuration

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Atomic StructureQuantum Numbers+1 moreAtomic OrbitalsDensity Functional Theory for Molecular Structure+13 more
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

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication 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 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-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 IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble 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 FieldsWork and CirculationLine Integrals of Scalar and Vector FunctionsFundamental Theorem for Line IntegralsConservative Vector FieldsConservative Vector Fields and Potential FunctionsCurl and Divergence of Vector FieldsCurl and DivergenceDivergence TheoremElectric Flux and Divergence TheoremGauss's Law: Integral Form and MeaningSolving Problems with Gauss'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 WavesPostulates of Special RelativityTime DilationLength ContractionLorentz TransformationRelativistic Velocity AdditionRelativistic Momentum and EnergyMass-Energy Equivalence and E=mc²Photons as Particles with Energy and MomentumPlanck-Einstein Relation: Energy and FrequencyPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsObservables and Quantum OperatorsCommutators and Commutation RelationsQuantum Angular MomentumQuantum Mechanical Treatment of HydrogenSolving the Schrödinger Equation for Hydrogen AtomQuantum NumbersElectron Configuration

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