The document discusses different types of crystal structures including simple cubic (SC), body centered cubic (BCC), and face centered cubic (FCC). It defines key terms like unit cell, lattice points, coordination number, and atomic packing factor. SC has a coordination number of 6 and atomic packing factor of 52%. BCC has a coordination number of 8 and packing factor of 68%. FCC has a coordination number of 12 and packing factor of 74%.
Point defects in solids include vacancies, interstitials, and impurities. Vacancies are vacant atomic sites, while interstitials are atoms that occupy spaces between normal atomic sites. Common point defects include vacancies, self-interstitials, Schottky defects, and Frenkel defects. The concentration of intrinsic point defects like vacancies increases exponentially with temperature based on the energy required to form the defect. Point defects can also create color centers where defects cause colors like the green color from vacancies in diamond.
Crystal defects refer to any deviations from the regular geometric arrangement of atoms in a crystal structure. No crystal is truly perfect, as defects are always present due to imperfect packing during crystal formation and thermal vibrations. Common types of defects include vacancies where atomic sites are missing, interstitial defects where extra atoms occupy interstitial spaces, Schottky defects where an anion-cation pair is missing, and Frenkel defects where a cation shifts from its regular site to an interstitial site. Line defects called dislocations are also common, where the crystal structure is distorted along a line, and include edge dislocations from extra atomic planes and screw dislocations from spiral displacements of atoms. Defects significantly
Engineering Physics,
CRYSTALLOGRAPHY,
Simple cubic, Body-centered cubic, Face-centered cubic,
DIAMOND STRUCTURE,
Atomic Packing Factor of Diamond Structure,
Projection of diamond lattice points on the base
The crystal structure notes gives the basic understanding about the different structures crystalline materials and their properties and physics of crystals. It also throw light on the basics of crystal diffraction
Crystal defects occur when the regular patterns of atoms in crystalline materials are interrupted. There are several types of crystal defects including point defects, line defects, and plane defects. Point defects are defects that occur at or around a single lattice point and include vacancies, interstitials, and substitutions. Vacancies occur when an atom is missing from its normal position in the crystal lattice. Interstitials occur when an atom occupies a position between normal lattice sites. Substitutions occur when a foreign atom replaces a host atom in the lattice. The presence of defects is necessary for crystals to have stability at any non-zero temperature due to the contribution of defects to entropy.
The document provides information about crystal structures, including:
1) It discusses space lattices, which are arrangements of points that repeat periodically in 3D space, with every point having an identical surrounding. The smallest repeating unit of a lattice is called the primitive cell.
2) There are 14 possible crystal structures defined by unique combinations of lattice parameters (a, b, c values and α, β, γ angles). The structures differ in packing efficiency and symmetry.
3) Miller indices are used to specify crystallographic directions and planes, helping to understand properties that vary by orientation like strength and conductivity. Understanding planes and directions is important for predicting deformation and failure modes in materials.
The document provides information on crystal structures including:
- Crystalline solids have atoms arranged in an orderly, periodic manner while amorphous solids do not.
- Dense, regularly packed structures have lower energy than non-dense, randomly packed structures.
- A unit cell is the smallest repeating unit that defines the lattice structure. There are 14 possible Bravais lattice structures.
- Common crystal structures for metals include body centered cubic (BCC), face centered cubic (FCC), and hexagonal close packed (HCP).
- Properties of unit cells include the number of atoms, effective number of atoms, coordination number, and atomic packing factor.
The document discusses different types of crystal structures including simple cubic (SC), body centered cubic (BCC), and face centered cubic (FCC). It defines key terms like unit cell, lattice points, coordination number, and atomic packing factor. SC has a coordination number of 6 and atomic packing factor of 52%. BCC has a coordination number of 8 and packing factor of 68%. FCC has a coordination number of 12 and packing factor of 74%.
Point defects in solids include vacancies, interstitials, and impurities. Vacancies are vacant atomic sites, while interstitials are atoms that occupy spaces between normal atomic sites. Common point defects include vacancies, self-interstitials, Schottky defects, and Frenkel defects. The concentration of intrinsic point defects like vacancies increases exponentially with temperature based on the energy required to form the defect. Point defects can also create color centers where defects cause colors like the green color from vacancies in diamond.
Crystal defects refer to any deviations from the regular geometric arrangement of atoms in a crystal structure. No crystal is truly perfect, as defects are always present due to imperfect packing during crystal formation and thermal vibrations. Common types of defects include vacancies where atomic sites are missing, interstitial defects where extra atoms occupy interstitial spaces, Schottky defects where an anion-cation pair is missing, and Frenkel defects where a cation shifts from its regular site to an interstitial site. Line defects called dislocations are also common, where the crystal structure is distorted along a line, and include edge dislocations from extra atomic planes and screw dislocations from spiral displacements of atoms. Defects significantly
Engineering Physics,
CRYSTALLOGRAPHY,
Simple cubic, Body-centered cubic, Face-centered cubic,
DIAMOND STRUCTURE,
Atomic Packing Factor of Diamond Structure,
Projection of diamond lattice points on the base
The crystal structure notes gives the basic understanding about the different structures crystalline materials and their properties and physics of crystals. It also throw light on the basics of crystal diffraction
Crystal defects occur when the regular patterns of atoms in crystalline materials are interrupted. There are several types of crystal defects including point defects, line defects, and plane defects. Point defects are defects that occur at or around a single lattice point and include vacancies, interstitials, and substitutions. Vacancies occur when an atom is missing from its normal position in the crystal lattice. Interstitials occur when an atom occupies a position between normal lattice sites. Substitutions occur when a foreign atom replaces a host atom in the lattice. The presence of defects is necessary for crystals to have stability at any non-zero temperature due to the contribution of defects to entropy.
The document provides information about crystal structures, including:
1) It discusses space lattices, which are arrangements of points that repeat periodically in 3D space, with every point having an identical surrounding. The smallest repeating unit of a lattice is called the primitive cell.
2) There are 14 possible crystal structures defined by unique combinations of lattice parameters (a, b, c values and α, β, γ angles). The structures differ in packing efficiency and symmetry.
3) Miller indices are used to specify crystallographic directions and planes, helping to understand properties that vary by orientation like strength and conductivity. Understanding planes and directions is important for predicting deformation and failure modes in materials.
The document provides information on crystal structures including:
- Crystalline solids have atoms arranged in an orderly, periodic manner while amorphous solids do not.
- Dense, regularly packed structures have lower energy than non-dense, randomly packed structures.
- A unit cell is the smallest repeating unit that defines the lattice structure. There are 14 possible Bravais lattice structures.
- Common crystal structures for metals include body centered cubic (BCC), face centered cubic (FCC), and hexagonal close packed (HCP).
- Properties of unit cells include the number of atoms, effective number of atoms, coordination number, and atomic packing factor.
This document compares and contrasts linear and nonlinear optics. In linear optics, light propagates through a medium without changing frequency, while in nonlinear optics the medium's response depends on light intensity. Nonlinear optics involves effects where the induced polarization in a medium does not linearly depend on the electric field of the light. This allows frequency conversion via processes like second harmonic generation and sum frequency generation. Materials can exhibit a nonlinear refractive index, leading to self-focusing or defocusing of high intensity light beams. Nonlinear optical effects enable applications like frequency conversion, optical limiting, and all-optical signal processing.
This document discusses different types of crystal defects including point defects, line defects, planar defects, and volumetric defects. Point defects include vacancies, self-interstitial atoms, substitutional impurities, and interstitial impurities. Line defects are caused by misalignments of atoms and include edge and screw dislocations. Planar defects form boundaries that separate crystal regions of differing orientations, such as stacking faults, grain boundaries, and twin boundaries. Volumetric defects occur on a larger scale and include voids, porosity, and precipitates.
Crystals are solids with atoms arranged in a repeating pattern. They consist of a lattice, which defines the points of repetition, and a motif or basis, which defines the entity associated with each lattice point. Common crystal structures include simple cubic, body-centered cubic, and face-centered cubic, which differ in their lattice and packing arrangements. Crystals can be one-dimensional, two-dimensional, or three-dimensional depending on the dimensionality of the lattice and motif.
This document discusses the history and fundamentals of nanoscience and nanotechnology. It describes how nanoscience involves studying materials between 1-100 nanometers in size, and how properties differ at the nanoscale due to large surface area to volume ratios and quantum effects. The document outlines key developments in nanoscience history from Maxwell proposing studying individual molecules in 1867 to modern discoveries like fullerenes and carbon nanotubes in the 1980s-1990s. Nanotechnology is defined as engineering functional systems at the molecular scale.
This is a presentation about the covalent crystal structure prepared by me,
Covalent crystals are solids in which the lattice points are occupied by atoms that are covalently bonded to other atoms at neighbouring lattice sites. ... These solids are sometimes called network solids because of the interlocking network of covalent bonds extending throughout the crystal in all directions.
The document summarizes a seminar on X-ray diffraction (XRD) techniques. It introduces Bragg's law which relates the wavelength of X-rays to the diffraction pattern produced when X-rays interact with a crystal lattice. Three common XRD methods are described: the Laue method for single crystals, the rotating crystal method, and the powder method. Applications of XRD include determining crystal structures of minerals, metals, and biological molecules. Limitations are that it has a detection limit of 2% for mixed materials and peak overlap issues.
The document discusses estimating crystallite size using X-ray diffraction (XRD). It provides a brief history of XRD, introducing key concepts like the Scherrer equation published in 1918 relating crystallite size to peak broadening. It discusses factors that contribute to observed peak profiles, including instrumental broadening, crystallite size, microstrain, and others. It also covers considerations for accurately analyzing crystallite size such as deconvoluting instrumental and sample contributions, and effects of crystallite shape, size distribution, and the measurement technique.
This document provides an overview of crystallography and crystal structures. It discusses how crystals form periodic arrangements that can be described by unit cells defined by lattice parameters. The most common crystal structures for metals are face-centered cubic (FCC), body-centered cubic (BCC), and hexagonal close-packed (HCP) since metals form dense, ordered packings with low energies. These crystal structures differ in their unit cell contents and atomic packing factors (FCC has the highest at 0.74). Directions in crystals are described by Miller indices written as [uvw].
This document discusses Bravais lattices, which are the 14 possible arrangements of points in a crystal lattice. It defines a unit cell as the smallest repeating pattern that generates the entire crystal lattice when translated in three dimensions. Unit cells can be primitive, containing particles only at the corners, or centered, containing additional particles in the body, face, or end centers. There are 7 common crystal systems classified by the angles and ratios of the unit cell vectors a, b, c. The 14 Bravais lattices represent all possible geometric arrangements of points in 3D space that generate the entire lattice through translation. Examples are provided of common crystal structures corresponding to each Bravais lattice.
The ideal, perfectly regular crystal structures in which atoms are arranged in a regular way does not exist in actual situations. In actual cases, the regular arrangements of atoms disrupted . These disruptions are known as Crystal imperfections or crystal defects
This document discusses various methods for crystal growth, including growing crystals from solution and vapor phase. It describes how crystallization occurs as atoms or molecules arrange in a repeating pattern. There are multiple techniques for obtaining crystals depending on the material, such as growing from molten solid, solution, or vapor phase. A common method is growing from solution, which involves precipitating crystals from a saturated solution by techniques like cooling or evaporation to reduce solubility in a controlled manner. Proper conditions like solvent choice, temperature control, and supersaturation levels are important for successful crystal growth.
The document summarizes key concepts from Chapter 7 of the textbook "Introduction to Materials Science" related to strengthening mechanisms in materials. It discusses how plastic deformation occurs through the motion of dislocations in materials and different ways to strengthen materials by impeding dislocation motion, such as reducing grain size, alloying, and increasing dislocation density through strain hardening. It also covers recovery, recrystallization and grain growth processes in materials after plastic deformation.
The document discusses X-ray diffraction and crystallography. It begins by providing background on the discovery of X-rays by Wilhelm Röntgen in 1895. It then describes how X-rays are produced and their properties, including their short wavelength and ability to penetrate materials. A key section explains how X-ray diffraction occurs when crystals act as diffraction gratings for X-rays due to their periodic structure. Bragg's law is also summarized, relating the diffraction condition to the wavelength and angle of the X-rays scattering from the crystal lattice planes. The document overall provides an introduction to X-ray diffraction techniques used to study crystal structures.
Crystals are composed of repeating unit cells that generate the entire crystal structure when translated through space. A crystal's symmetry is defined by symmetry elements like rotations, translations, and reflections that leave the crystal unchanged. There are 32 possible point groups and 14 Bravais lattices that combine to form 230 unique space groups describing all possible crystal symmetries. The asymmetric unit is the smallest portion of the unit cell that generates the full crystal structure through symmetry operations.
Muhammad Wajid and Muhammad Talha presented a report on sputtering process and its types to Dr. Shumaila Karmat. Sputtering is a process where atoms are ejected from a material's surface when struck by energetic particles, and it was first discovered in 1852. There are several types of sputtering including magnetron sputtering, ion-beam sputtering, and reactive sputtering. Magnetron sputtering traps electrons near the target using electric and magnetic fields to increase the deposition rate. Ion-beam sputtering uses a focused ion beam to sputter the target. Reactive sputtering introduces a reactive gas to deposit a film with a different composition than the target through a chemical reaction.
This document is a paper on inorganic chemistry that discusses line defects in solids, specifically edge and screw dislocations. It was written by Sakshi Mishra for their M.Sc. Part 2, Semester 3 course. The paper references common solid state chemistry textbooks and building construction resources.
This document discusses solid state physics and crystal structures. It begins by defining solid state physics as explaining the properties of solid materials by analyzing the interactions between atomic nuclei and electrons. It then discusses different types of solids including single crystals, polycrystalline materials, and amorphous solids. Single crystals have long-range periodic atomic order, while polycrystalline materials are made of many small crystals joined together and amorphous solids lack long-range order. The document goes on to describe crystal structures including crystal lattices, unit cells, and common crystal systems such as cubic, hexagonal, and orthorhombic. It provides examples of crystal structures including sodium chloride and its cubic lattice structure.
There are several types of defects that can occur in crystalline materials, including point defects, line defects, and grain boundaries. Point defects include vacancies, interstitial atoms, and substitutional/interstitial impurities. Line defects include stacking faults which occur when the regular stacking sequence of atomic planes is disturbed. Grain boundaries separate crystalline grains of different orientations in polycrystalline materials. These defects influence many properties of materials.
This document provides an overview of solid state chemistry and properties of solid surfaces. It discusses the following key points:
- Solids have definite shapes and volumes due to strong forces holding their atoms, molecules, or ions in fixed positions. This gives solids their rigidity and mechanical strength.
- There are two main types of solids - crystalline solids which have a regular repeating structure and amorphous solids which lack long-range order.
- Techniques for characterizing solid surfaces include low-energy electron diffraction (LEED) and X-ray photoelectron spectroscopy (XPS) which can provide information about surface structure and composition.
- LEED specifically works by bombarding a crystalline surface
1) Crystalline solids have a definite geometric structure due to orderly arrangement of particles, while amorphous solids do not.
2) Crystalline solids have sharp melting points and properties that depend on direction, while amorphous solids melt over a range of temperatures and are isotropic.
3) Elements and compounds can exist in multiple crystalline forms called polymorphs or allotropes, with a transition temperature between forms. Examples are the allotropes of oxygen, sulfur, tin, and carbon.
This document compares and contrasts linear and nonlinear optics. In linear optics, light propagates through a medium without changing frequency, while in nonlinear optics the medium's response depends on light intensity. Nonlinear optics involves effects where the induced polarization in a medium does not linearly depend on the electric field of the light. This allows frequency conversion via processes like second harmonic generation and sum frequency generation. Materials can exhibit a nonlinear refractive index, leading to self-focusing or defocusing of high intensity light beams. Nonlinear optical effects enable applications like frequency conversion, optical limiting, and all-optical signal processing.
This document discusses different types of crystal defects including point defects, line defects, planar defects, and volumetric defects. Point defects include vacancies, self-interstitial atoms, substitutional impurities, and interstitial impurities. Line defects are caused by misalignments of atoms and include edge and screw dislocations. Planar defects form boundaries that separate crystal regions of differing orientations, such as stacking faults, grain boundaries, and twin boundaries. Volumetric defects occur on a larger scale and include voids, porosity, and precipitates.
Crystals are solids with atoms arranged in a repeating pattern. They consist of a lattice, which defines the points of repetition, and a motif or basis, which defines the entity associated with each lattice point. Common crystal structures include simple cubic, body-centered cubic, and face-centered cubic, which differ in their lattice and packing arrangements. Crystals can be one-dimensional, two-dimensional, or three-dimensional depending on the dimensionality of the lattice and motif.
This document discusses the history and fundamentals of nanoscience and nanotechnology. It describes how nanoscience involves studying materials between 1-100 nanometers in size, and how properties differ at the nanoscale due to large surface area to volume ratios and quantum effects. The document outlines key developments in nanoscience history from Maxwell proposing studying individual molecules in 1867 to modern discoveries like fullerenes and carbon nanotubes in the 1980s-1990s. Nanotechnology is defined as engineering functional systems at the molecular scale.
This is a presentation about the covalent crystal structure prepared by me,
Covalent crystals are solids in which the lattice points are occupied by atoms that are covalently bonded to other atoms at neighbouring lattice sites. ... These solids are sometimes called network solids because of the interlocking network of covalent bonds extending throughout the crystal in all directions.
The document summarizes a seminar on X-ray diffraction (XRD) techniques. It introduces Bragg's law which relates the wavelength of X-rays to the diffraction pattern produced when X-rays interact with a crystal lattice. Three common XRD methods are described: the Laue method for single crystals, the rotating crystal method, and the powder method. Applications of XRD include determining crystal structures of minerals, metals, and biological molecules. Limitations are that it has a detection limit of 2% for mixed materials and peak overlap issues.
The document discusses estimating crystallite size using X-ray diffraction (XRD). It provides a brief history of XRD, introducing key concepts like the Scherrer equation published in 1918 relating crystallite size to peak broadening. It discusses factors that contribute to observed peak profiles, including instrumental broadening, crystallite size, microstrain, and others. It also covers considerations for accurately analyzing crystallite size such as deconvoluting instrumental and sample contributions, and effects of crystallite shape, size distribution, and the measurement technique.
This document provides an overview of crystallography and crystal structures. It discusses how crystals form periodic arrangements that can be described by unit cells defined by lattice parameters. The most common crystal structures for metals are face-centered cubic (FCC), body-centered cubic (BCC), and hexagonal close-packed (HCP) since metals form dense, ordered packings with low energies. These crystal structures differ in their unit cell contents and atomic packing factors (FCC has the highest at 0.74). Directions in crystals are described by Miller indices written as [uvw].
This document discusses Bravais lattices, which are the 14 possible arrangements of points in a crystal lattice. It defines a unit cell as the smallest repeating pattern that generates the entire crystal lattice when translated in three dimensions. Unit cells can be primitive, containing particles only at the corners, or centered, containing additional particles in the body, face, or end centers. There are 7 common crystal systems classified by the angles and ratios of the unit cell vectors a, b, c. The 14 Bravais lattices represent all possible geometric arrangements of points in 3D space that generate the entire lattice through translation. Examples are provided of common crystal structures corresponding to each Bravais lattice.
The ideal, perfectly regular crystal structures in which atoms are arranged in a regular way does not exist in actual situations. In actual cases, the regular arrangements of atoms disrupted . These disruptions are known as Crystal imperfections or crystal defects
This document discusses various methods for crystal growth, including growing crystals from solution and vapor phase. It describes how crystallization occurs as atoms or molecules arrange in a repeating pattern. There are multiple techniques for obtaining crystals depending on the material, such as growing from molten solid, solution, or vapor phase. A common method is growing from solution, which involves precipitating crystals from a saturated solution by techniques like cooling or evaporation to reduce solubility in a controlled manner. Proper conditions like solvent choice, temperature control, and supersaturation levels are important for successful crystal growth.
The document summarizes key concepts from Chapter 7 of the textbook "Introduction to Materials Science" related to strengthening mechanisms in materials. It discusses how plastic deformation occurs through the motion of dislocations in materials and different ways to strengthen materials by impeding dislocation motion, such as reducing grain size, alloying, and increasing dislocation density through strain hardening. It also covers recovery, recrystallization and grain growth processes in materials after plastic deformation.
The document discusses X-ray diffraction and crystallography. It begins by providing background on the discovery of X-rays by Wilhelm Röntgen in 1895. It then describes how X-rays are produced and their properties, including their short wavelength and ability to penetrate materials. A key section explains how X-ray diffraction occurs when crystals act as diffraction gratings for X-rays due to their periodic structure. Bragg's law is also summarized, relating the diffraction condition to the wavelength and angle of the X-rays scattering from the crystal lattice planes. The document overall provides an introduction to X-ray diffraction techniques used to study crystal structures.
Crystals are composed of repeating unit cells that generate the entire crystal structure when translated through space. A crystal's symmetry is defined by symmetry elements like rotations, translations, and reflections that leave the crystal unchanged. There are 32 possible point groups and 14 Bravais lattices that combine to form 230 unique space groups describing all possible crystal symmetries. The asymmetric unit is the smallest portion of the unit cell that generates the full crystal structure through symmetry operations.
Muhammad Wajid and Muhammad Talha presented a report on sputtering process and its types to Dr. Shumaila Karmat. Sputtering is a process where atoms are ejected from a material's surface when struck by energetic particles, and it was first discovered in 1852. There are several types of sputtering including magnetron sputtering, ion-beam sputtering, and reactive sputtering. Magnetron sputtering traps electrons near the target using electric and magnetic fields to increase the deposition rate. Ion-beam sputtering uses a focused ion beam to sputter the target. Reactive sputtering introduces a reactive gas to deposit a film with a different composition than the target through a chemical reaction.
This document is a paper on inorganic chemistry that discusses line defects in solids, specifically edge and screw dislocations. It was written by Sakshi Mishra for their M.Sc. Part 2, Semester 3 course. The paper references common solid state chemistry textbooks and building construction resources.
This document discusses solid state physics and crystal structures. It begins by defining solid state physics as explaining the properties of solid materials by analyzing the interactions between atomic nuclei and electrons. It then discusses different types of solids including single crystals, polycrystalline materials, and amorphous solids. Single crystals have long-range periodic atomic order, while polycrystalline materials are made of many small crystals joined together and amorphous solids lack long-range order. The document goes on to describe crystal structures including crystal lattices, unit cells, and common crystal systems such as cubic, hexagonal, and orthorhombic. It provides examples of crystal structures including sodium chloride and its cubic lattice structure.
There are several types of defects that can occur in crystalline materials, including point defects, line defects, and grain boundaries. Point defects include vacancies, interstitial atoms, and substitutional/interstitial impurities. Line defects include stacking faults which occur when the regular stacking sequence of atomic planes is disturbed. Grain boundaries separate crystalline grains of different orientations in polycrystalline materials. These defects influence many properties of materials.
This document provides an overview of solid state chemistry and properties of solid surfaces. It discusses the following key points:
- Solids have definite shapes and volumes due to strong forces holding their atoms, molecules, or ions in fixed positions. This gives solids their rigidity and mechanical strength.
- There are two main types of solids - crystalline solids which have a regular repeating structure and amorphous solids which lack long-range order.
- Techniques for characterizing solid surfaces include low-energy electron diffraction (LEED) and X-ray photoelectron spectroscopy (XPS) which can provide information about surface structure and composition.
- LEED specifically works by bombarding a crystalline surface
1) Crystalline solids have a definite geometric structure due to orderly arrangement of particles, while amorphous solids do not.
2) Crystalline solids have sharp melting points and properties that depend on direction, while amorphous solids melt over a range of temperatures and are isotropic.
3) Elements and compounds can exist in multiple crystalline forms called polymorphs or allotropes, with a transition temperature between forms. Examples are the allotropes of oxygen, sulfur, tin, and carbon.
D(ANSWER)Polycrystalline or multicrystalline materials, or polycry.pdfanandhomeneeds
D(ANSWER)
Polycrystalline or multicrystalline materials, or polycrystals are solids that are composed of
many crystallites of varying size and orientation. Crystallites are also referred to as grains. They
are small or even microscopic crystals and form during the cooling of many materials. Their
orientation can be random with no preferred direction, called random texture, or directed,
possibly due to growth and processing conditions. Fiber texture is an example of the latter. The
areas where crystallite grains meet are known as grain boundaries.
Grain boundaries are interfaces where crystals of different orientations meet. A grain boundary is
a single-phase interface, with crystals on each side of the boundary being identical except in
orientation. The term \"crystallite boundary\" is sometimes, though rarely, used. Grain boundary
areas contain those atoms that have been perturbed from their original lattice sites, dislocations,
and impurities that have migrated to the lower energy grain boundary.
Treating a grain boundary geometrically as an interface of a single crystal cut into two parts, one
of which is rotated, we see that there are five variables required to define a grain boundary. The
first two numbers come from the unit vector that specifies a rotation axis. The third number
designates the angle of rotation of the grain. The final two numbers specify the plane of the grain
boundary (or a unit vector that is normal to this plane).
Grain boundaries disrupt the motion of dislocations through a material. Dislocation propagation
is impeded because of the stress field of the grain boundary defect region and the lack of slip
planes and slip directions and overall alignment across the boundaries. Reducing grain size is
therefore a common way to improve strength, often without any sacrifice in toughness because
the smaller grains create more obstacles per unit area of slip plane. This crystallite size-strength
relationship is given by the Hall-Petch relationship. The high interfacial energy and relatively
weak bonding in grain boundaries makes them preferred sites for the onset of corrosion and for
the precipitation of new phases from the solid.
Grain boundary migration plays an important role in many of the mechanisms of creep. Grain
boundary migration occurs when a shear stress acts on the grain boundary plane and causes the
grains to slide. This means that fine-grained materials actually have a poor resistance to creep
relative to coarser grains, especially at high temperatures, because smaller grains contain more
atoms in grain boundary sites. Grain boundaries also cause deformation in that they are sources
and sinks of point defects. Voids in a material tend to gather in a grain boundary, and if this
happens to a critical extent, the material could fracture.
During grain boundary migration, the rate determining step depends on the angle between two
adjacent grains. In a small angle dislocation boundary, the migration rate depends on vac.
This document discusses dislocations and mechanisms of plastic deformation in metals. It explains that plastic deformation occurs due to the movement of dislocations in crystals. Dislocations can move through slip and climb, leading to cumulative plastic deformation. Their movement is influenced by interactions with other dislocations and defects. Two main mechanisms of plastic deformation in metals are slip and twinning. Slip involves the sliding of crystal blocks along slip planes and directions, while twinning involves a symmetrical rearrangement of a crystal portion.
The document discusses different types of solids and their properties. Crystalline solids have long-range ordered structures that repeat periodically, while amorphous solids only have short-range order. Crystalline solids can be anisotropic with properties varying in different directions, whereas amorphous solids are isotropic with uniform properties in all directions. Common examples of crystalline solids are sodium chloride and quartz, while glass and rubber are typically amorphous. The vast majority of solid substances are either crystalline or polycrystalline rather than purely amorphous. Crystalline solids can be further classified based on the type of bonding forces between their constituent particles as molecular, ionic, metallic, or covalent
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A solid is a state of matter characterized by particles arranged in a stable, close-packed structure that gives solids a definite shape and volume. Solids can be crystalline or amorphous. Crystalline solids have particles arranged in a regular, repeating pattern throughout the crystal lattice. Amorphous solids lack long-range order and have particles arranged irregularly over short distances. The crystal lattice is made up of repeating units called unit cells, which define the symmetry and geometry of the crystal structure. Unit cells come in seven main types depending on their parameters. Crystalline solids are further classified based on the type of bonds between particles as ionic, covalent, metallic, or molecular solids.
Point defects are defects that occur at a single lattice point and are not extended in space. The main types are vacancies, interstitials, and substitutions. Line defects include edge, screw, and mixed dislocations. Grain boundaries are interfaces between crystalline grains. Volume defects are 3D aggregates of atoms or vacancies that manifest as pores and cracks.
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The document discusses different types of crystalline defects including point defects, line defects, planar defects, and volume defects. Point defects involve a single atom change and include vacancies, interstitials, and impurities. Line defects are discontinuities in the crystal structure and include edge and screw dislocations. Planar defects are discontinuities across a plane, such as grain boundaries between differently oriented crystal grains, tilt boundaries of misaligned grains, and twin boundaries where crystals are mirror images. Volume defects are voids that form internal surfaces in the crystal.
Chap-1_IMF-Part3.pptx for high school Chemistrylyzashanebernal
This document discusses the nature of solids. It describes the difference between crystalline and amorphous solids. Crystalline solids have a highly ordered structure and are classified as ionic, covalent, metallic or molecular based on the interactions between particles in the crystal lattice. Amorphous solids lack long-range order. The document also describes phase changes between solid, liquid and gas states in terms of energy and molecular order. An activity on sublimation is presented along with questions.
Mineral assembly involves the formation of ionic or covalent bonds between cations and anions to create a repeatable crystalline framework. This framework can have isotropic or anisotropic properties depending on consistent or varying structures in different directions. Mineral growth occurs through mechanisms like nucleation and Ostwald ripening as ions come together from melts or solutions to form larger crystals in equilibrium. Polymorphs exist when the same chemical formula produces different mineral structures under varying conditions of formation.
There are three main types of point defects in crystals: vacancies, interstitials, and impurities. Line defects include dislocations, which can be edge or screw dislocations. Planar defects involve discontinuities across a plane, such as grain boundaries between differently oriented crystal grains or twin boundaries between mirrored crystal structures. Volume defects create internal surfaces through the absence of atoms in voids.
This document summarizes research on dislocations and grain boundaries in metals. It discusses how early theories defined dislocations and their role in deformation. Experiments on bicrystals in the 1930s-1950s showed grain boundaries act as barriers to dislocation motion, causing pileups. Later work established criteria for when slip can transfer between crystals based on factors like resolved shear stress and crystal orientation compatibility. Understanding dislocation-boundary interactions is crucial for predicting failure in polycrystalline metals used in applications.
This document discusses various types of crystal defects including point defects, linear defects (dislocations), and planar defects. It explains that plastic deformation occurs due to the movement of dislocations along specific crystallographic planes and directions known as slip systems. Face-centered cubic metals have 12 possible slip systems comprising the {111} family of planes and <110> directions within each plane. Body-centered cubic and hexagonal close-packed metals also have defined slip systems that allow plastic deformation through dislocation movement.
6. Solid State Pharmaceutics A) Molecular Level AYP.pptxkhushalchavan
This document discusses various concepts related to the molecular level characterization of solid state pharmaceuticals, including crystallinity, crystal habit, polymorphism, the amorphous state, solvates, and analytical techniques. Crystallinity refers to the degree of order in a solid's molecular arrangement, impacting properties. Crystal habit describes a crystal's characteristic external shape. Polymorphism and the amorphous state influence properties. Solvates are crystalline solids containing solvent molecules. Analytical techniques aid characterization.
BME 303 - Lesson 2 - Structure of Solids.pptxatlestmunni
This document provides an overview of the structure of solids. It discusses the characteristics of solids, including their definite shape, rigidity, and resistance to changes in shape or volume. Solids exist in either crystalline or amorphous forms. Crystalline solids have a regular repeating structure, while amorphous solids like glass lack long-range order. There are seven crystal systems that solids can belong to, which are determined by the lengths of the unit cell axes and angles between them. Key concepts covered include unit cells, crystal lattices, bonding in ionic, covalent and metallic solids, and the different arrangements of atoms in simple cubic, body-centered cubic and face-centered cubic unit cells
This document provides an introduction to solid state physics presented by Dr. Dattu Joshi. It discusses the aims of solid state physics, including understanding the properties of solids based on the interactions between atomic nuclei and electrons. It describes crystalline solids as having a regular repeated atomic pattern and discusses different types of solids including crystalline, polycrystalline, and amorphous materials. The document outlines several topics that will be covered related to crystal structure, diffraction, imperfections, and bonding in solids.
The document discusses 1st order and 2nd order phase transitions. 1st order transitions involve a release or absorption of latent heat and result in discontinuous changes in properties like entropy. 2nd order transitions do not involve latent heat and result in continuous changes in properties across the transition. The Landau theory of phase transitions provides a framework for describing transitions using a thermodynamic potential and order parameter. Gibbs free energy must be minimized at equilibrium, and 1st order transitions exhibit a discontinuity in the temperature dependence of entropy while 2nd order transitions do not.
OPTICAL PROPERTIES OF METALS AND NON METALSNumanUsama
Metals strongly absorb visible light due to interactions between photons and electrons in the material. This absorption causes incident light intensity to decrease exponentially as light travels through the metal. Metals also highly reflect visible light due to their low refractive index, causing reflected rays to experience a large deflection according to Snell's law. Reflection results in metals appearing mostly colorless or taking on colors like gold's yellow from selective absorption. Non-metals manipulate light through refraction as photons slow down and change direction, reflection at interfaces, and absorption where photon energy is used to release electrons from atoms.
Raman scattering involves the inelastic scattering of photons by phonons in a crystal. When a photon interacts with a crystal, it may be scattered with no change in energy (Rayleigh scattering), or a change in energy may occur through the creation or annihilation of a phonon (Raman scattering). The intensity ratio of anti-Stokes to Stokes Raman lines depends on temperature and can be used to determine phonon population. Raman spectroscopy provides information about phonon modes in crystals through observation of Raman peaks and their intensities and temperature dependence.
This document presents proofs of several vector calculus identities involving operators like gradient (∇), divergence (∇⋅), curl (∇×), and Laplacian (∇2). It proves the product rule for curl: ∇×(φA)=φ(∇×A)+A×(∇φ). It also proves that the curl of a gradient is always zero, and that the curl of curl of a vector A equals the gradient of the divergence of A minus the Laplacian of A. The document defines the Laplacian operator and notes its physical significance for characterizing minima, maxima, and harmonic functions. It concludes with two multiple choice questions about curl and irrotational fields
Raman scattering involves the inelastic scattering of photons by matter. Typically, incident photons from a visible laser are shifted to lower energy when molecules gain vibrational energy, called Stokes Raman scattering. Raman scattering provides information about molecular vibrations and rotations as well as phonon modes in solids. It involves excitation to a virtual electronic energy level corresponding to the laser photon energy, followed by re-emission as either Raman scattered, Rayleigh scattered, or anti-Stokes Raman scattered light depending on whether the final vibrational energy is higher, same, or lower than the starting state. Raman spectroscopy is used for materials analysis across many fields from gases and liquids to biological tissues.
This document discusses vector calculus concepts and operations involving the del operator (∇). It provides proofs and examples of:
1. Curl of the gradient of a scalar field is equal to zero.
2. The curl of the curl of a vector field is equal to the gradient of the divergence minus the Laplace operator.
3. The curl of the product of a scalar field and a vector field is equal to the scalar field times the curl of the vector field plus the cross product of the gradient of the scalar field and the vector field.
It also defines the Laplace operator and discusses its representation in spherical coordinates.
This document provides information about diffusion and drift currents. It includes the topic, which is diffusion and drift currents. It also lists the degree, which is a BS(Hons) in Physics from the University of Education Township in Lahore. Finally, it provides references for additional reading on the topics of solid state physics, concepts of modern physics, solid state electronic devices, and the differences between diffusion current and drift current.
Optical fibers are thin flexible fibers made of glass or plastic that transmit light along their length. They work by the phenomenon of total internal reflection which keeps light trapped inside the core of the fiber. Optical fibers are used for long distance telecommunication networks and have advantages over electrical cables in transmitting signals over longer distances with less loss. They are also used for applications such as illumination, imaging, sensing and transmitting power.
X-ray spectra can be either continuous or characteristic. Continuous spectra consist of radiations of all possible wavelengths emitted when electrons are slowed by the target material. Characteristic spectra consist of definite wavelengths that are emitted when inner shell electrons are ejected from atoms, creating vacancies that are filled by higher shell electrons as they fall. This releases energy in the form of X-rays at wavelengths characteristic of specific elements. Characteristic spectra appear as sharp lines superimposed on the continuous spectrum.
Topic:SUPERCONDECTORS IN PHYSICS
Subject: #Advanced_Solid_State_Physics
IN THIS WHICH YOU CAN FOUND FULLY EXPLAIN ABOUT SUPERCONDECRORS
#Supercondectors #condectorsinphysics #numanusamakhan #advancedsolidstatephysics
This document provides keyboard shortcuts for formatting text and common commands in Microsoft Word. It lists shortcuts for formatting text like making it bold, italic, underlined, changing font size and color. It also includes shortcuts for cutting, copying, pasting and finding text. Additional shortcuts are presented for commands like saving, opening, closing files and adding borders or shading.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
Main Java[All of the Base Concepts}.docxadhitya5119
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
Physiology and chemistry of skin and pigmentation, hairs, scalp, lips and nail, Cleansing cream, Lotions, Face powders, Face packs, Lipsticks, Bath products, soaps and baby product,
Preparation and standardization of the following : Tonic, Bleaches, Dentifrices and Mouth washes & Tooth Pastes, Cosmetics for Nails.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
How to Manage Your Lost Opportunities in Odoo 17 CRMCeline George
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
2. DISLOCATION
Dislocations are actually one dimensional line defects.
dislocation is a linear crystallographic defect or irregularity within a crystal
structure which contains an abrupt change in the arrangement of atoms. The
movement of dislocations allow atoms to slide over each other at low stress levels
Dislocations play an important role in a variety of deformation processes of a
crystal.
Dislocations can play a constructive role in crystal growth.
3. Understanding the Role of Dislocations in
Material Behavior
Stress fields, strain fields, energy etc.
Free surfaces, grain boundaries etc.
Interactions with other dislocations, interstitials, precipitates etc.
Long range interactions & collective behavior & external constraints
Consider a dislocation in an infinite crystal
Take into account finite crystal effects
Consider interaction of dislocations with other defects
Collective behavior and effects of external constrains
4. Crystals
A crystal or crystalline solid is a solid material whose constituents (such as atoms
or ions are arranged in a highly ordered microscopic structure, forming a crystal
structure that extends in all directions.
Crystals are actually grains of a specific material and have a specific size, shape
and arrangement of constituent particles.
These above mentioned properties are different for different materials and same
for a material under same set of conditions provided for crystal growth.
5. Crystal Growth
Crystal growth could be defined as the process to producing grains or small seeds
of a material by following different methods.
Growth of crystal
Snow Crystal
6. Continue…
Crystal growth can be understood in a way by considering an example that we are
going to grow a crystal which have Cubic unit cell when we provide certain
conditions to grow a material units cells start making bonds with similar cells or
the addition of unit cells of same material start with a specific cell in three
dimensions.
This process of growing crystal continue till a specific size achieved after that a
new crystal of same material start growing.
The size and shape of crystal of different for different materials is different and for
a specific material same under same set of conditions.
Above discussion is related to crystals of pure materials.
8. Methods of Obtaining Crystals
1. Crystallization
Obtaining crystals by making a saturated solution of material and then by filtration
allow to precipitate crystals.
2. Evaporation
Solve crystals powdered form into solvent and boil solution slightly less then solvent’s
boiling point and then allow solvent to evaporate.
3. Slow cooling
Crystals can be obtained by slowly cooling down a solution of any material.
4. Nucleation
9. Crystal Growth In The Presence of
Dislocation
Dislocation is a controlling factor which controls crystal growth.
The theory of dislocation-controlled crystal growth identifies a continuous spiral
step with an emergent lattice displacement on a crystal surface; a mechanistic
corollary is that closely spaced, oppositely winding spirals merge to form
concentric loops.
In situ atomic force microscopy of step propagation on pathological L-cystine
crystals did indeed show spirals and islands with step heights of one lattice
displacement. We show by analysis of the rates of growth of smaller steps only
one molecule high that the major morphological spirals and loops are actually
consequences of the bunching of the smaller steps.
10. In the both figures a part indicate the presence of a dislocation.
Part b of the figures are show the start of formation of crystal in the form of spiral ring.
Part c of the both figures show a ring formed .
Part d of both the figures indicate that the process of crystallization remain continuous after the formation of the
first spiral ring.
Rings after ring are formed with a some minor distance difference in μ meters.
11. With a difference of 1μm spiral rings are formed during Step or starting point of ring
during crystallization process. formation
The morphology of the bunched steps actually inverts the predictions of the theory: Spirals arise from pairs of
dislocations, loops from single dislocations. Only through numerical simulation of the growth is it revealed how
normal growth of anisotropic layers of molecules within the highly symmetrical crystals can conspire to create
features in apparent violation of the classic theory
12. Crystal Growth In The Presence of
Dislocation
Dislocation strongly affects the growth of crystals. And crystal growth is totally
different while we consider dislocation in the crystals.
Most important change that one can easily observe in growth of crystals is
the process of growth stops after a certain size of a crystal is obtained in
pure materials without any kind of dislocation while in the presence of
dislocation a crystal continue to grow until we stop this process.
In the presence of dislocation the size and shape of crystals different for
same materials under same set of conditions.
Both size and shape now only depends on dislocations( number of
dislocations and extent of dislocation)
13. Continue…
Bigger in size crystals can be obtained by adding dislocation and have different
properties then crystals without dislocation.
Dislocations are atomic-scale lattice defects that play a central role in determining
the properties of crystalline materials.
For example, they govern the strength of structural alloys, influence crystal
growth and can be detrimental to the performance of semiconductor devices.
Fundamental understanding of their structure and behavior is essential if we are
to engineer dislocations to enhance material properties.