Dislocation Types and Motion

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Core Idea

Dislocations are the primary carriers of plastic deformation in crystalline materials, and they come in two idealized forms. An edge dislocation consists of an extra half-plane of atoms inserted into the lattice, with its Burgers vector perpendicular to the dislocation line. A screw dislocation creates a helical ramp of atoms, with its Burgers vector parallel to the dislocation line. Real dislocations are typically mixed, containing both edge and screw character along their length. Dislocations move by glide (conservative motion on the slip plane, requiring only bond rearrangement) or climb (non-conservative motion perpendicular to the slip plane, requiring vacancy diffusion and therefore elevated temperature). The interactions between dislocations — pinning, annihilation, junction formation — govern strain hardening behavior and are central to understanding why metals strengthen as they deform.

How It's Best Learned

Draw a Burgers circuit around both edge and screw dislocations to derive the Burgers vector direction and magnitude. Use physical models or 3D visualizations to see how glide moves a dislocation through the lattice versus how climb requires atoms to leave or join the extra half-plane. Connect dislocation multiplication (Frank-Read sources) to the observed increase in dislocation density during deformation.

Common Misconceptions

Explainer

From crystal defects, you know that a perfect crystal has a regular arrangement of atoms, and that point defects like vacancies disrupt this order locally. From plastic deformation, you know that metals yield not by breaking entire planes of bonds simultaneously — which would require stresses far higher than observed — but by moving defects through the lattice one atomic step at a time. The dislocation is that defect, and understanding its geometry explains why metals deform at stresses orders of magnitude below theoretical values.

An edge dislocation is most easily pictured by imagining an extra half-plane of atoms inserted partway into a crystal from above. The "tip" of this extra half-plane — where it ends inside the crystal — is the dislocation line. The lattice is compressed above the dislocation and stretched below. To quantify the disturbance, draw a closed rectangular path (Burgers circuit) around a region of perfect crystal: it closes perfectly. Draw the same circuit around the dislocation: it fails to close by one atomic spacing — the closure vector is the Burgers vector b, which for an edge dislocation points perpendicular to the dislocation line. When a shear stress is applied, the extra half-plane migrates through the crystal one atomic spacing at a time: bonds at the tip break and reform on the other side. This is glide, and it requires only bond rearrangement at the dislocation core — a process that needs no diffusion and can proceed at any temperature.

A screw dislocation is harder to visualize but equally important. Cut a crystal halfway through and displace the halves by one lattice parameter parallel to the cut plane: the crystal remains connected, but the atomic planes form a helical ramp. The dislocation line runs along the axis of the helix, and the Burgers vector is parallel to this line. The key property that distinguishes screw dislocations is cross-slip: because the Burgers vector is parallel to the line, the screw dislocation has no unique slip plane — it can jump from one plane to another if the stress geometry allows. This gives metals a ductility that pure edge-dislocation glide alone would not provide; dislocations can sidestep obstacles.

The distinction between glide and climb matters at high temperatures. Glide keeps the dislocation on its slip plane. Climb moves it perpendicular to the slip plane by absorbing or emitting vacancies — atoms leave the dislocation core (or arrive at it) from the surrounding lattice, driven by thermal fluctuations. Climb requires mass transport by vacancy diffusion, so it is strongly thermally activated. At room temperature climb is negligible; at elevated temperatures (roughly above 0.4 T_melting), climb becomes important enough to allow dislocations to bypass obstacles they cannot glide around. This is why materials creep under sustained load at high temperature — dislocations that glide to a barrier can slowly climb over it rather than piling up indefinitely.

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 BondingLewis StructuresPolar Covalent Bonds and Dipole MomentsClassification of Bonds: Ionic, Covalent, and MetallicMetallic Bonding and Properties of MetalsCrystal Structures and Solid PropertiesCrystal Structure and Unit CellsMiller Indices: Crystallographic Planes and DirectionsPlastic Deformation and Slip SystemsDislocation Types and Motion

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