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Electron Configuration

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Atomic StructureQuantum Numbers+1 more→→Atomic 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 Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → Quantum Angular Momentum → Quantum Mechanical Treatment of Hydrogen → Solving the Schrödinger Equation for Hydrogen Atom → Quantum Numbers → Electron Configuration

Longest path: 155 steps · 935 total prerequisite topics

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