Dislocations: Types and Movement

College Depth 155 in the knowledge graph I know this Set as goal
Unlocks 18 downstream topics
dislocations defects line-defects

Core Idea

Dislocations are line defects where the crystal lattice structure is disrupted along a line; edge and screw dislocations are the primary types, differing in geometry and stress response. Dislocations move through crystals under applied stress via glide and climb mechanisms, enabling plastic deformation at stresses orders of magnitude lower than theoretical predictions. Understanding dislocation mechanics is fundamental to explaining material strength, work hardening, and creep behavior.

Explainer

From your study of point defects, you know that crystal lattices are never perfect — vacancies, interstitials, and substitutional atoms create local distortions. Dislocations are a different category of imperfection: they are line defects, meaning the disruption extends along a one-dimensional line through the crystal rather than being localized to a single lattice site. The two fundamental types are defined by the relationship between the Burgers vector b (the magnitude and direction of lattice distortion) and the dislocation line direction.

An edge dislocation can be pictured as an extra half-plane of atoms wedged into the upper portion of a crystal. The Burgers vector is perpendicular to the dislocation line. Under shear stress, an edge dislocation moves by shifting the extra half-plane one atomic spacing at a time — the bonds on one side break and reform on the other — so the dislocation line advances while the overall crystal extends by one Burgers vector. A screw dislocation has its Burgers vector parallel to the dislocation line, creating a helical arrangement of atomic planes (if you walk around the dislocation in a closed loop, you end up one lattice spacing higher or lower). Real dislocations in crystals are often mixed dislocations with both edge and screw character, curving through the lattice. Both types move primarily by glide — motion within a specific crystallographic slip plane — but edge dislocations can also climb perpendicular to their glide plane by absorbing or emitting vacancies, a thermally activated process important for creep at high temperatures.

The most important insight dislocations provide is resolving the enormous discrepancy between theoretical and observed yield strength. If you calculate the stress needed to slide two halves of a perfect crystal past each other (breaking all bonds simultaneously along the slip plane), you get values around G/10 to G/30, where G is the shear modulus — roughly 1–10 GPa for metals. But real metals yield at 10–100 MPa, a factor of 10–1000 lower. The resolution is that dislocations allow slip to propagate sequentially rather than simultaneously. Imagine moving a heavy rug across a floor: dragging the whole rug at once requires enormous force, but creating a small wrinkle (a "dislocation") and pushing the wrinkle forward requires far less. Each bond breaks and reforms locally as the dislocation passes; the net effect is the same macroscopic slip, but achieved at a fraction of the theoretical stress.

Dislocation density ρ (the total length of dislocation line per unit volume, in m/m³ = m⁻²) determines mechanical behavior. Annealed metals have ρ ≈ 10¹⁰–10¹² m⁻², while heavily cold-worked metals reach 10¹⁵–10¹⁶ m⁻². As density increases, dislocations interact and tangle, impeding each other's motion — this is the mechanism of work hardening: the more you deform a metal, the harder it becomes to deform further. Every strengthening mechanism in metals ultimately works by making dislocation motion more difficult, either by creating obstacles (precipitates, grain boundaries), generating internal stress fields (solute atoms), or multiplying dislocation density to create a tangled network that locks itself in place.

Practice Questions 5 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 ConfigurationPeriodic TrendsIonization EnergyIonic BondingMetallic BondingAtomic Bonding in SolidsCrystal Systems and Bravais LatticesPoint Defects: Vacancies, Interstitials, and ImpuritiesDislocations: Types and Movement

Longest path: 156 steps · 727 total prerequisite topics

Prerequisites (2)

Leads To (2)