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lattice dimensions
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Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 31 August 2023
DOI: 10.31399/asm.tb.mdsbktmse.t56070007
EISBN: 978-1-62708-451-2
... Define the unit system. Use the metal system because the potential file has constants in this unit system. dimension 3 Operate in three dimensions. boundary p p p Periodic in all three dimensions atom_style atomic atom_modify map array atomic style is used in this simulation. lattice...
Abstract
The appendix contains detailed simulation examples through which readers learn how to format and analyze problems using the LAMMPS molecular dynamics simulator. By means of simulation, readers will determine the thermal expansion coefficient of copper, generate stress-strain plots for aluminum at different temperatures, calculate the surface energy of copper for different crystal orientations, investigate diffusion effects in BCC iron, estimate the sliding friction between graphene layers, compare the stacking fault energy of silver and aluminum, and analyze the properties and behaviors of liquids and gases. All examples employ a systematic problem-solving approach and include necessary input code.
Series: ASM Technical Books
Publisher: ASM International
Published: 31 August 2023
DOI: 10.31399/asm.tb.mdsbktmse.9781627084512
EISBN: 978-1-62708-451-2
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540357
EISBN: 978-1-62708-309-6
... grain contains many crystals, which are composed of atoms, ions, or molecules arranged in a pattern that is periodic in three dimensions. In contrast, the grain boundaries are disruptions between the crystal lattices of individual grains, and these disruptions in the grain-boundary regions provide...
Abstract
Deformation within a crystal lattice is governed principally by the presence of dislocations, which are two-dimensional defects in the lattice structure. Slip from shear stress is the most common deformation mechanism within crystalline lattices of metallic materials, although deformation of crystal lattices can also occur by other processes such as twinning and, in special circumstances, by the migration of vacant lattice sites. This appendix describes the notation used to specify lattice planes and directions and discusses the mechanisms of slip and twinning as well as the effect of stacking faults.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.tb.ems.t53730037
EISBN: 978-1-62708-283-9
... a net drift velocity. Any irregularity in the lattice will cause a random change in the path. The drift velocity increases with the field and the mean free path between interactions with lattice irregularities. Therefore, the conductivity and mobility are determined by the mean free path. Figure 4.1...
Abstract
This chapter examines some of the behaviors that suit materials for electrical and electronic applications. It begins by explaining how charge carriers move in metals and semiconductors and how properties such as conductivity, mobility, and resistivity are derived. It discusses the significance of energy bands, intrinsic and extrinsic conduction, and the properties of compound semiconductors. It also covers semiconductor devices, including p-n junctions, light emitting diodes, transistors, and piezoelectric crystals.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.tb.msisep.t59220001
EISBN: 978-1-62708-259-4
... the atoms are regularly organized in a lattice, forming a crystal. The way the atoms are organized in a metal or in an alloy determines several properties of the metal. Ferrous alloys having the face-centered cubic (FCC) structure, for instance, are nonmagnetic, whereas alloys with the body-centered cubic...
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240003
EISBN: 978-1-62708-251-8
... crystalline structures. Therefore, metals and ceramics are, in general, crystalline, while glasses and polymers are mostly amorphous. 1.3.1 Space Lattices and Crystal Systems A crystalline structure consists of atoms, or molecules, arranged in a pattern that is repetitive in three dimensions...
Abstract
Bonding in solids may be classified as either primary or secondary bonding. Methods of primary bonding include the metallic, ionic, and covalent bonds. This chapter discusses and provides a comparison of the properties of these bonds. This is followed by a discussion on crystalline structure, providing information on space lattices and crystal systems, hexagonal close-packed systems, and face-centered and body-centered cubic systems. The chapter then covers slip systems and closes with a brief section on allotropic transformations that occur at a constant temperature during either heating or cooling.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2021
DOI: 10.31399/asm.tb.ciktmse.t56020013
EISBN: 978-1-62708-389-8
... to 1000 K. Over this temperature range, the linear dimension of solid expands by 0.13%. X-ray diffraction mea- surements show that the lattice constant increases by 0.12%. Given that the vacancy concentration of this material at 800 K is 1 Â 10À6, determine the activation energy for vacancy production. 20...
Abstract
This chapter provides readers with worked solutions to more than 25 problems related to compositional impurities and structural defects. The problems deal with important issues and challenges such as the design of low-density steels, the causes and effects of distortion in different crystal structures, the ability to predict the movement of dislocations, the influence of impurities on defects, the relationship between gain size and material properties, the identification of specific types of defects, the selection of compatible metals for vacuum environments, and the effect of twinning planes on stacking sequences. The chapter also includes problems on how the formation of precipitates can produce slip planes and how grain boundaries can act as obstacles to dislocation motion.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410063
EISBN: 978-1-62708-265-5
... schematic on the left of Fig. 5.11(b) . At this stage, the dimensions of the bct cell are still those derived from the austenitic lattice parameter. The unit cell on the right of Fig. 5.11(b) is that of martensite with lattice parameters a and c , corresponding to given carbon content (see Fig. 5.2...
Abstract
The formation of martensite is characterized by its athermal transformation kinetics, crystallographic features, and development of fine structure. This chapter describes the diffusionless, shear-type transformation of austenite to martensite and how it affects the morphology and microstructure of heat-treatable carbon steels. It also provides information on lath and plate martensite and how they differ in structure and deformation properties.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420363
EISBN: 978-1-62708-310-2
... glasses and polymers are mostly amorphous. Space Lattices and Crystal Systems A crystalline structure consists of atoms, or molecules, arranged in a pattern that is repetitive in three dimensions. The arrangement of the atoms or molecules in the interior of a crystal is called its crystalline...
Abstract
This appendix provides a detailed overview of the crystal structure of metals. It describes primary bonding mechanisms, space lattices and crystal systems, unit cell parameters, slip systems, and crystallographic planes and directions as well as plastic deformation mechanisms, crystalline imperfections, and the formation of surface or planar defects. It also discusses the use of X-ray diffraction for determining crystal structure.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 31 December 2020
DOI: 10.31399/asm.tb.phtbp.t59310001
EISBN: 978-1-62708-326-3
... Abstract The building block of all matter, including metals, is the atom. This chapter initially provides information on atomic bonding and the crystal structure of metals and alloys, followed by a description of three crystal lattice structures of metals: face-centered cubic, hexagonal close...
Abstract
The building block of all matter, including metals, is the atom. This chapter initially provides information on atomic bonding and the crystal structure of metals and alloys, followed by a description of three crystal lattice structures of metals: face-centered cubic, hexagonal close-packed, and body-centered cubic. It then describes the four main divisions of crystal defects, namely point defects, line defects, planar defects, and volume defects. The chapter provides information on grain boundaries of metals, processes involved in atomic diffusion, and key properties of a solid solution. It also explains the aspects of a phase diagram that shows what phase or phases are present in the alloy under conditions of thermal equilibrium. Finally, a discussion on the applications of equilibrium phase diagrams is presented.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2012
DOI: 10.31399/asm.tb.smff.t53400027
EISBN: 978-1-62708-316-4
... Constancy during Plastic Deformation Plastic deformation is caused microscopically either by the slip or twinning of atomic layers. These operations do not change the volume of the metal, which would require a permanent change of the lattice dimensions. This fact that the volume must remain constant...
Abstract
This chapter discusses the fundamentals of plastic deformation and the role of strain and strain rate in sheet metal forming processes. It describes the conditions associated with uniform deformation, the significance of engineering and true strain, the effect of volume constancy on the tensile response of isotropic and anisotropic materials, and how infinitesimal strains or strain rates are used to express and analyze instantaneous deformation and local stain. It also discusses the concept of principal strain and strain paths and explains how to determine, and when to use, equivalent strain and strain rate.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060013
EISBN: 978-1-62708-261-7
... of a crystal determines the type of crystalline structure that is present. A distribution of points (or atoms) in three dimensions is said to form a space lattice if every point has identical surroundings, as shown in Fig. 2.7 . The intersections of the lines, called lattice points, represent locations...
Abstract
This chapter introduces many of the key concepts on which metallurgy is based. It begins with an overview of the atomic nature of matter and the forces that link atoms together in crystal lattice structures. It discusses the types of imperfections (or defects) that occur in the crystal structure of metals and their role in mechanical deformation, annealing, precipitation, and diffusion. It describes the concept of solid solutions and the effect of temperature on solubility and phase transformations. The chapter also discusses the formation of solidification structures, the use of equilibrium phase diagrams, the role of enthalpy and Gibb’s free energy in chemical reactions, and a method for determining phase compositions along the solidus and liquidus lines.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240303
EISBN: 978-1-62708-251-8
... properties that can be measured or characterized without application of force and without changing the material identity. They are relatively insensitive to structure. Common physical properties include density, lattice parameter, electrical properties such as conductivity and dielectric permittivity...
Abstract
The physical properties of a material are those properties that can be measured or characterized without the application of force and without changing material identity. This chapter discusses in detail the common physical properties of metals, namely density, electrical properties, thermal properties, magnetic properties, and optical properties. Some physical properties for a number of metals are given in a table.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 1999
DOI: 10.31399/asm.tb.lmcs.t66560427
EISBN: 978-1-62708-291-4
... is often, but not always, due to a phase change (precipitation), but never involves a change in chemical composition of the metal or alloy. allotriomorphic crystal. A crystal whose lattice structure is normal but whose external surfaces are not bounded by regular crystal faces; rather, the external...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2021
DOI: 10.31399/asm.tb.ciktmse.9781627083898
EISBN: 978-1-62708-389-8
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060049
EISBN: 978-1-62708-261-7
... the strain, the original dimension or shape of the undeformed body is compared to the same dimension or shape in the deformed body. The method used to calculate the strain has the same units in both the numerator and the denominator, and so these units cancel each other out, resulting in a pure number...
Abstract
This chapter introduces the concepts of mechanical properties and the various underlying metallurgical mechanisms that can be used to alter the strength of materials. The mechanical properties discussed include elasticity, plasticity, creep deformation, fatigue, toughness, and hardness. The strengthening mechanisms covered are solid-solution strengthening, cold working, and dispersion strengthening. The effect of grain size on the yield strength of a material is also discussed.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 1999
DOI: 10.31399/asm.tb.lmcs.9781627082914
EISBN: 978-1-62708-291-4
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1983
DOI: 10.31399/asm.tb.mlt.t62860001
EISBN: 978-1-62708-348-5
... )/ k = g 2 kT /4 f 3 = 3 αγT Lattice parameter a ( T ) – a (0) = – gkT /2 f 2 = 3 kTγ / fa Thermal expansivity α = (1/ a )( da / dT ) = – gk /2 f 2 a = 3 kγ / fa 2 Force constants f ( T ) = f – g 2 kT /2 f 2 = f – 18 kTγ 2 / a 2 df ( T )/ dT = – g 2...
Abstract
Many scientific-technological advances depend critically on solid-state elastic properties, their magnitudes, and their responses to variables like stress and temperature. This chapter provides the definitions and descriptions of elastic constants and emphasizes five aspects of engineering-material solid-state elastic constants: general properties; interrelationships; relationships, especially thermodynamic to other physical properties; changes during cooling from ambient to near-zero temperature; and near-zero-temperature behavior.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2006
DOI: 10.31399/asm.tb.ex2.t69980141
EISBN: 978-1-62708-342-3
... extruded. Nonmetallic particles or fibers are uniformly embedded in a metallic matrix, usually artificially, to improve the mechanical properties and often to reduce wear. These materials are also discussed briefly in this chapter. 4.2 Structure 4.2.1 Lattice Structure Single Phase All metals...
Abstract
This chapter explains the basic terminology and principles of metallurgy as they apply to extrusion. It begins with an overview of crystal structure in metals and alloys, including crystal defects and orientation. This is followed by sections discussing the development of the continuous cast microstructure of aluminum and copper alloys. The discussion provides information on billet and grain segregation and defects in continuous casting. The chapter then discusses the processes involved in the deformation of pure metals and alloys at room temperature. Next, it describes the characteristics of pure metals and alloys at higher temperatures. The processes involved in extrusion are then covered. The chapter provides details on how the toughness and fracture characteristics of metals and alloys affect the extrusion process. The weld seams in hollow profiles, the production of composite profiles, and the processing of composite materials, as well as the extrusion of metal powders, are discussed. The chapter ends with a discussion on the factors that define the extrudability of metallic materials and how these attributes are characterized.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410017
EISBN: 978-1-62708-265-5
..., and on heating go to the left. Crystal Structures of Iron The crystal structure of ferrite is characterized by the unit cell shown in Fig. 3.2 . Ferrite belongs to the cubic crystal system—all three axes of the unit cell are of the same length a and are mutually perpendicular. The space lattice...
Abstract
This chapter describes the iron-carbon phase diagram, its modification by alloying elements, and the effect of carbon on the chemistry and crystallography of austenite, ferrite, and cementite found in Fe-C alloys and steels. It also lays the groundwork for understanding important metallurgical concepts, including solubility, critical temperature, dislocation defects, slip, and diffusion, and how they affect the microstructure, properties, and behaviors of steel.
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