Imperfections in Solids

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Crystalline Defect

A lattice irregularity with one or more dimensions at the atomic level.

Vacancy

A vacant atomic site in a crystal lattice.

Self-Interstitial

An extra atom positioned between regular atomic sites in a crystal lattice.

Impurities

Atoms of a different type than the host material, added intentionally to change properties.

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Substitutional Impurity

A type of impurity defect where the impurity atoms replace host atoms in the lattice.

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Interstitial Impurity

A type of impurity defect where impurity atoms fit into the spaces between host atoms.

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Alloy

A mixture of two or more elements, where at least one is a metal.

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Solid Solution

A homogeneous mixture of impurity atoms in a host material, where the crystal structure is maintained.

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Dislocation

A one-dimensional defect in a crystal lattice, causing misalignment of atoms.

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Edge Dislocation

A type of dislocation where an extra half-plane of atoms is inserted into the crystal lattice.

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Screw Dislocation

A type of dislocation caused by shear stress, resulting in a spiral ramp in the crystal lattice.

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Mixed Dislocation

A type of dislocation combining both edge and screw dislocation characteristics.

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Grain Boundary

A boundary between two adjacent grains in a polycrystalline material.

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Solidification

The process of a liquid material solidifying into a solid with a crystalline structure.

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Twin Boundary

A type of planar or interfacial defect in a crystal where atoms on one side of the boundary are mirror images of the other side.

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Stacking Fault

An error in the stacking sequence of atoms in close-packed crystal structures, leading to a different packing arrangement.

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Antiphase Boundary

A planar defect occurring in ordered alloys, where the crystallographic direction is the same, but each side of the boundary has an opposite phase.

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Bulk Defect

A three-dimensional defect in a crystal, such as pores, cracks, inclusions, or other phases.

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Void

A small region in a crystal where there are no atoms, essentially a cluster of vacancies.

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Optical Microscopy

A microscopic technique that uses reflected light to reveal the microstructure of materials.

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Electron Microscopy

A microscopic technique that uses electrons to create images of surfaces with atomic resolution.

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Repeat Unit

The basic repeating unit in a polymer chain, representing the smallest structural component.

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Macromolecule

A large molecule composed of many repeating units, forming long chains.

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Polymerization

The process of joining monomers together to form a polymer chain.

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Homopolymer

A polymer consisting of only one type of repeat unit.

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Copolymer

A polymer containing two or more different types of repeat units.

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Crosslinked Polymers

A polymer where chains are joined together at various points by covalent bonds.

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Network Polymers

A polymer formed from multi-functional monomers, creating a three-dimensional network structure.

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Head-to-Tail Polymer

A type of arrangement where the side groups on a polymer chain are bonded to alternating carbon atoms.

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Head-to-Head Polymer

A polymer with side groups bonded to adjacent carbon atoms on the chain, resulting in different properties.

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Random Coil Polymer

A polymer chain that assumes a random shape due to chain bond rotations and flexibility.

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Linear Polymer

A polymer chain with a straight, linear shape.

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Branched Polymer

A polymer chain with side branches attached to the main chain, affecting density and properties.

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Degree of Polymerization

The average number of repeat units in a polymer chain, indicating the chain size.

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Number-Average Molecular Weight

The average molecular weight of a polymer calculated based on the number fraction of molecules within different size ranges.

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Weight-Average Molecular Weight

The average molecular weight of a polymer calculated based on the weight fraction of molecules within different size ranges.

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Study Notes

Imperfections in Solids

  • Solids contain imperfections, also known as defects
  • These defects impact material properties
  • Solidification mechanisms are crucial, influencing structure size and shape, depending on cooling rate.
  • Nuclei form and grow, leading to a grain structure.
  • Defects are created during material processing.
  • Point defects: vacancies (missing atoms) and self-interstitials (extra atoms)
  • Impurities: intentional or unintentional additions altering material properties (e.g., carbon in steel).
  • Alloys: intentional impurity addition to modify properties.
  • Solvent is the main component, solute is the impurity.
  • A solid solution forms when solute atoms are incorporated into the host material, maintaining the crystal structure, and is compositionally homogenous.
  • The addition of impurities to metals can result in solid solutions or new phases, influenced by impurity type, concentration, and temperature.
  • Impurities can be substitutional (replacing atoms) or interstitial (fitting into spaces).
  • The solubility of solutes in solvents depends on atomic size, crystal structure, electronegativity, and valence.
  • Copper and nickel have complete solubility in each other due to similar size, structure, and electronegativity
  • Dislocations are line defects visible in electron micrographs.
  • Dislocations cause slip between planes, resulting in plastic deformation.
  • Types of imperfections include point, line, area, and volume defects.
  • Point defects include vacancies, interstitials, and impurities
  • Line defects include edge and screw dislocations.
  • Area/interfacial defects are grain boundaries, which create changes in crystallographic direction; impede dislocation.
  • Volume defects are cracks, pores, and inclusions.
  • Grain boundaries, are classified by low to high-angle between the misorientation of the grains; high-angle boundary is more susceptible to impurity segregation and lower material density than fine-grained materials
  • Movement of edge dislocations requires the successive bumping of a half-plane of atoms, bonds are broken and remade in succession.
  • Motion of screw dislocations results from shear stresses shifting parts of the crystal.
  • Mixed dislocations are a combination of edge and screw dislocations
  • Twin boundaries - Essentially a reflection of atom positions across the twin plane; region between twin boundaries called a twin
  • Stacking faults occur in close-packed structures.
  • Antiphase boundaries occur when one side of a boundary has an opposite phase from the other side for ordered alloys.
  • Bulk (volume) defects include pores, cracks, foreign inclusions, and other phases; introduced during processing/fabrication.
  • Voids are clusters of vacancies.
  • Impurities cluster together to form precipitates.
  • Microscopy helps examine crystallites (grains) and grain boundaries, which vary in size (diamond, aluminum garbage can).
  • Several applications of microscopic examination determine properties-structure relationships, predict material properties, design alloys with new combinations, identify if a material has been heat treated correctly, determine mode of mechanical fracture.
  • Optical Microscopy: useful up to 2000X, dependent on crystal orientation;polishing removes surface features;etching changes reflectance, reveal grain boundaries to etching.
  • Polarized light increases contrast in metallographic scopes and transparent materials
  • Electrons are used in higher resolution, atomic-level observations with high magnification
  • Scanning Tunneling Microscopy reveals atomic arrangements, as in carbon monoxide molecules, or iron atoms on copper
  • Point, line, and area defects exist in solids.

Summary

  • Number and type of defects can be controlled.
  • Defects significantly influence material properties.
  • Defects may be desirable or undesirable depending on context.

Structure of Ceramics

  • Ceramic structures are complex involving ionically or covalently bonded elements.
  • The degree of ionic character depends on electronegativity differences.
  • The ratio of cations to anions in ionic ceramics determines charge neutrality, impacting the crystal structure.
  • Ionic radius impacts ceramic crystal structures.
  • Common AX structures: Rock salt (NaCl, MgO), Cesium chloride (CsCl), Zinc blende (ZnS), Fluorite (CaF2), and Perovskite (BaTiO3).

Summary

  • Ionic bonding in ceramics produces complex structures influenced by the relative size of ions.
  • The ratio of cations to anions in an ionic ceramic determines the stoichiometry and influences the structure.
  • Structures are affected by cation-anion radii.

Structure of Metals

  • Crystalline metals have a periodic array of atoms.
  • Five parameters quantify metallic structures: lattice parameter, coordination number, number of atoms per unit cell, atomic packing factor, and density.
  • Common crystal structures for metals include simple cubic, body-centered cubic, face-centered cubic, and hexagonal close-packed.
  • Metallic alloys can have simple or more complex structures.

Summary

  • Crystalline structures in metals are characterized by their close packing.
  • Common structures are cubic (simple, body centered, and face centered) and hexagonal.
  • Metallic alloys can exhibit diverse structural arrangements.

Classifications of Solids

  • Solids can be crystalline or amorphous
  • Crystalline Solids: Periodic 3D arrays of atoms.
    • Molecular Solids
    • Metallic Solids
    • Covalent Solids
    • Ionic Solids
  • Amorphous Solids: No periodic packing

Summary

  • Solids are classified as crystalline or amorphous based on their atomic arrangement.
  • Crystal structures are categorized by the arrangement of atoms and bond types.

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