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lattice sites
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Image
Published: 01 December 2004
Fig. 2 Interstitial sites in an iron lattice. The large spheres at the corners and center of the cube represent iron atoms, and the small spheres (X, Y, and Z) represent interstitial sites for carbon. There are duplicate interstitial sites at the corners of the cube or unit cell.
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Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540357
EISBN: 978-1-62708-309-6
... 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...
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 October 2021
DOI: 10.31399/asm.tb.ciktmse.t56020001
EISBN: 978-1-62708-389-8
..., and how they respond to applied stresses and strains. The chapter makes extensive use of graphics to illustrate crystal lattice structures and related concepts such as vacancies and interstitial sites, ion migration, volume expansion, antisite defects, edge and screw dislocations, slip planes, twinning...
Abstract
Alloying, heat treating, and work hardening are widely used to control material properties, and though they take different approaches, they all focus on imperfections of one type or other. This chapter provides readers with essential background on these material imperfections and their relevance in design and manufacturing. It begins with a review of compositional impurities, the physical arrangement of atoms in solid solution, and the factors that determine maximum solubility. It then describes different types of structural imperfections, including point, line, and planar defects, and how they respond to applied stresses and strains. The chapter makes extensive use of graphics to illustrate crystal lattice structures and related concepts such as vacancies and interstitial sites, ion migration, volume expansion, antisite defects, edge and screw dislocations, slip planes, twinning planes, and dislocation passage through precipitates. It also points out important structure-property correlations.
Image
Published: 31 December 2020
Image
Published: 01 October 2011
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 2021
DOI: 10.31399/asm.tb.ciktmse.t56020013
EISBN: 978-1-62708-389-8
... cubic crystal as shown below, showing both the lattice sites and octahedral interstitial sites. Prove that r = 0.146 a , where r is the radius of interstitial site and a is the lattice constant. Show that there are four octahedral interstitial sites per unit cell. Solutions...
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 March 2012
DOI: 10.31399/asm.tb.pdub.t53420171
EISBN: 978-1-62708-310-2
.... 9.1 Order-Disorder Transformations An order-disorder transformation typically occurs on cooling from a disordered solid solution to an ordered phase. During this phase transformation, there is a rearrangement of atoms from random site locations in the disordered solution to specific lattice sites...
Abstract
This chapter explains how the presence of intermediate phases affects the melting behavior of binary alloys and the transformations that occur under different rates of cooling. It begins by examining the phase diagrams of magnesium-lead and copper-zinc, noting some of the complexities associated with intermediate phases. It then discusses the difference between ordered and disordered phases and how they are accounted for on phase diagrams. It describes how the atoms in a disordered solution may arrange themselves into an ordered array, forming a superlattice in the process of cooling, and goes on to identify the most common superlattice structures and their corresponding alloy phases. It also discusses the factors that limit the formation of superlattices along with the kinetics of spinodal decomposition and its effect on microstructure development.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240041
EISBN: 978-1-62708-251-8
... in the disordered solution to specific lattice sites in the ordered structure. When atoms periodically arrange themselves into a specific ordered array, they make up what is commonly referred to as a superlattice. Most alloys that form an ordered structure are disordered at higher temperature, which means...
Abstract
When a metal is alloyed with another metal, either substitutional or interstitial solid solutions are usually formed. This chapter discusses the general characteristics of these solutions and the effects of several alloying elements on the yield strength of pure metals. It presents four rules that give a qualitative estimate of the ability of two metals to form substitutional solid solutions: relative size factor, chemical affinity factor, relative valency factor, and lattice type factor. The chapter provides information on alloys that form an ordered structure during heating. It describes the intermediate phases that are formed during solidification between the two extremes of substitutional solid solution on the one hand and intermetallic compound on the other. The chapter concludes with a section on strain aging in low-carbon steels that allows the interstitial atoms to diffuse to the dislocations and again form atmospheres that pin dislocation movement.
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
..., and volume defects depend on the way the metal was originally formed and subsequently processed. Fig. 6 Point defects: A, interstitial atom; B, vacancy; C, foreign atom in lattice site Line Defects Line defects (or one-dimensional defects) are known as dislocations and lie along an axis...
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.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240063
EISBN: 978-1-62708-251-8
... Zener ring diffusion is similar but involves the simultaneous rotation of four atoms. Vacancy Vacancy diffusion involves the migration of an atom from a lattice position to an adjacent vacancy (vacant lattice site). The vacancy diffusion mechanism requires less energy than either the direct...
Abstract
Diffusion is the movement of atoms through the crystalline lattice. This chapter discusses the two main types of diffusion that can occur in solids: interstitial diffusion and substitutional diffusion. It describes Fick's first and second laws of diffusion, with emphasis on several applications of the latter. The chapter also provides information on the temperature dependence of diffusion, intrinsic diffusion coefficients (Kirkendall effect), and high diffusion paths.
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
... and subsequently processed. Fig. 2.12 Point defects: A, interstitial atom; B, vacancy; C, foreign atom in lattice site Line Defects Line defects (or one-dimensional defects) are known as dislocations , and lie along an axis (or line) of atoms in a crystalline lattice. The main type of line defect...
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.t52240017
EISBN: 978-1-62708-251-8
..., the lattice vibrations become larger, and atoms have a tendency to jump out of their normal positions, leaving a vacant lattice site behind. Fig. 2.1 Vacancy point defect. Source: Ref 1 The number of vacancies increases exponentially with temperature according to: (Eq 2.1) n v = N...
Abstract
In a perfect crystalline structure, there is an orderly repetition of the lattice in every direction in space. Real crystals contain a considerable number of imperfections, or defects, that affect their physical, chemical, mechanical, and electronic properties. Defects play an important role in processes such as deformation, annealing, precipitation, diffusion, and sintering. All defects and imperfections can be conveniently classified under four main divisions: point defects, line defects, planar defects, and volume defects. This chapter provides a detailed discussion on the causes, nature, and impact of these defects in metals. It also describes the mechanisms that cause plastic deformation in metals.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2022
DOI: 10.31399/asm.tb.dsktmse.t56050001
EISBN: 978-1-62708-432-1
... lattice sites plasma nitriding substitutional diffusion thermal processing Introduction to Diffusion in Solids Changes in the structure of metals/alloys and their relationship to physical and mechanical properties have been subjects of interest for physical metallurgists. Materials are often...
Abstract
A working knowledge of diffusion is necessary to understand and predict the behavior of metals and alloys during manufacturing and in certain types of service. This chapter covers the fundamentals of diffusion in solids and some of the applications in which diffusion plays a role. It discusses the mechanisms behind interstitial, substitutional, grain boundary, and surface diffusion, the derivation and use of Fick’s laws, and the basic principles of diffusion coating processes, including carburizing, nitriding, nitrocarburizing, cyaniding, carbonitriding, boriding, aluminizing, siliconizing, chromizing, vanadizing, and titanizing. It also discusses diffusion bonding and presents several approaches for dealing with oxide barrier problems.
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
... even though some lattice expansion is required. In ferrite the interstitial sites are much smaller, thus explaining the very limited solubility of carbon. A tetrahedral site in ferrite could accommodate an interstitial atom 0.035 nm (0.35 Å) in radius and an octahedral site, an atom only 0.019 nm...
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.
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
... . Cold working a metal creates lattice defects that raise the resistivity of the metal. Vacancies are the most important defects. The effect of each vacant lattice site acts the same way as a solute atom. Therefore, the change of resistivity caused by cold work, Δρ cw , is proportional to the number...
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 November 2007
DOI: 10.31399/asm.tb.smnm.t52140071
EISBN: 978-1-62708-264-8
... elements such as chromium, nickel, and molybdenum are dissolved in iron, they are too big to fit into the holes between the iron atoms, and they must replace the iron atoms at their preferred sites on the fcc or bcc lattice sites. These solute atoms are not the correct size to easily fit into the vacant...
Abstract
Grain size has a determining effect on the mechanical properties of steel and responds favorably to forging and heat treating. This chapter explains how to measure and quantify grain size and how to control it through thermal cycling and forging operations. It describes how surface tension acting on grain-boundary segments contributes to grain growth and how the formation of new grains, driven by phase transformations and recrystallization, lead to a reduction in average grain size. It also discusses the effect of alloying elements on grain growth rates, particularly the curbing effect of particle and solute drag.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.tb.tt2.t51060115
EISBN: 978-1-62708-355-3
... movement during the application of a load. There are several mechanisms for time-dependent deformation processes, including the diffusive motion of alloy and/or impurity atoms. This diffusive motion may simply be atoms jumping to nearby lattice sites made favorable by the application of a load. Tensile...
Abstract
The tensile test provides a relatively easy, inexpensive technique for developing mechanical property data for the selection, qualification, and utilization of metals and alloys in engineering service. The tensile test requires interpretation, and interpretation requires a knowledge of the factors that influence the test results. This chapter provides a metallurgical perspective for such interpretation. The topics covered include elastic behavior, anelasticity, damping, proportional limit, yield point, ultimate strength, toughness, ductility, strain hardening, and yielding and the onset of plasticity. The chapter describes the effects of grain size on yielding, effect of cold work on hardness and strength, and effects of temperature and strain-rate on the properties of metals and alloys. It provides information on true stress-strain relationships and special tests developed to measure the effects of test/specimen conditions. Finally, the chapter covers the characterization of tensile fractures of ductile metals and alloys.
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
... in one set (z) of interstitial octahedral sites. The x and y sites are unoccupied. Source: Ref 5.5 Fig. 5.2 Changes in the c lattice parameter (upper curve) and a lattice parameter (lower curve) of Fe-C martensite as a function of carbon content. Source: Ref 5.6 Martensite...
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.
Image
Published: 01 December 1995
Fig. 2-111 Rising to a height of 145 ft (44 m) (the maximum allowed for the site) Bush Lane House stands out from its conventional neighbors. Besides supporting the structure, the cast stainless steel lattice is kept full of water to provide fire protection.
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