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Dislocation Types and Motion

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Crystal Defects: Point, Line, and PlanarPlastic Deformation and Slip Systems+1 more→→Dislocation Motion and Slip SystemsSolid Solution Strengthening+1 more
edge-dislocation screw-dislocation burgers-vector dislocation-glide dislocation-climb

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

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 → Periodic Trends → Covalent Bonding → Electronegativity and Bond Polarity → Ionic Bonding → Lewis Structures → Polar Covalent Bonds and Dipole Moments → Classification of Bonds: Ionic, Covalent, and Metallic → Metallic Bonding and Properties of Metals → Crystal Structures and Solid Properties → Crystal Structure and Unit Cells → Crystal Systems and Bravais Lattices → Miller Indices: Crystallographic Planes and Directions → Plastic Deformation and Slip Systems → Dislocation Types and Motion

Longest path: 169 steps · 979 total prerequisite topics

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