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hexagonal crystal systems
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Image
in Modeling and Simulation of Texture Evolution during the Thermomechanical Processing of Titanium Alloys
> Fundamentals of Modeling for Metals Processing
Published: 01 December 2009
Fig. 3 Common slip systems for hexagonal close-packed (alpha) titanium crystals. (a) Basal < a >. (b) Prism < a >. (c) Pyramidal < c + a >
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Book Chapter
Book: Corrosion: Materials
Series: ASM Handbook
Volume: 13B
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v13b.a0006544
EISBN: 978-1-62708-183-2
... in metallic systems that they are often identified by three-letter abbreviations that combine the space lattice with the crystal system. For example, bcc is used for body-centered cubic (two atoms per unit cell), fcc for face-centered cubic (four atoms per unit cell), and cph for close-packed hexagonal (two...
Abstract
The crystal structure of a material is an important aspect of corrosion and oxidation processes. This article provides a general introduction to the crystal structure of materials, providing information on the crystal systems, lattice dimensions, nomenclature, and solid-solution mechanisms used to characterize structures. It illustrates the unit cells and ion positions for some simple metal crystals, arranged alphabetically according to the Pearson symbol. The space lattice and crystal system, space-group notation, and prototype for each crystal are also illustrated.
Image
in Crystallography and Engineering Properties of Ceramics
> Engineered Materials Handbook Desk Edition
Published: 01 November 1995
Fig. 36 Structure of borides. Source: Ref 81 , 82 , 83 Formula Metal Crystal system and structural type Arrangement of boron atoms M 4 B Pd, Pt Cubic, Pt 4 B-type Isolated atoms M 2 B Ta, Cr, Mo, W, Fe, Ni, Co Tetragonal, CuAl 2 -type Isolated atoms M 5 B 3
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Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003084
EISBN: 978-1-62708-199-3
...-centered cubic (four atoms per unit cell), and cph for close-packed hexagonal (two atoms per unit cell). (The latter space-lattice/crystal system is also commonly referred to as hexagonal close-packed, hcp, in metallurgical literature.) It should be noted that in the schematic representations shown...
Abstract
Crystal structure is the arrangement of atoms or molecules in the solid state that involves consideration of defects, or abnormalities, in idealized atomic/molecular arrangements. The three-dimensional aggregation of unit cells in the crystal forms a space lattice or Bravais lattice. This article provides a brief review of the terms and basic concepts associated with crystal structures. It also discusses some of the significant defects obstructing plastic flow in real crystals, namely point defects, line defects, stacking faults, twins, and cold work. Several tables in the article provide information on the crystal structures and lattice parameters of allotropes of metallic elements.
Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006292
EISBN: 978-1-62708-163-4
... letters preceded by a , m , o , t , h , and c to denote, respectively, six crystal systems: triclinic (anorthic), monoclinic, orthorhombic, tetragonal, hexagonal, and cubic. The 14 space (Bravais) lattices and their Hermann-Mauguin and Pearson symbols Table 2 The 14 space (Bravais) lattices...
Abstract
This article defines crystallographic terms and concepts, including crystal structure, unit cell, structure symbols, lattice, space-group notation, and atom position. It schematically illustrates the atom positions, prototypes, structure symbols, space-group notations, and lattice parameters for some of the simple metallic crystals. A table that lists the crystal structures of various metal elements is presented. The crystal structures are described by the Pearson symbols for crystal system, space lattice, total number of atoms per unit cell, and prototype structure. The article tabulates the assorted structure types of metallurgical interest arranged according to Pearson symbol. It also provides information on crystal defects, explaining some significant ones, such as point defects, line defects, stacking faults, and twins.
Book Chapter
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003722
EISBN: 978-1-62708-177-1
..., each with a specified equality or inequality to others of axial lengths and interaxial angles. These are the basis of the following crystal systems—triclinic (anorthic), monoclinic, orthorhombic, tetragonal, hexagonal, rhombohedral (trigonal), and cubic—employed in the classification of crystals...
Abstract
This article describes crystallographic terms and concepts and illustrates various crystal structures. The crystallographic terms described include crystal structure, unit cell, crystal system, lattice, structure symbols, space-group notation, structure prototype, atom positions, point groups, and equivalent positions. The article presents a table of assorted structure types of metallurgical interest arranged according to the Pearson symbol. It also schematically illustrates atom positions, prototypes, structure symbols, space-group notations, and lattice parameters for some of the simple metallic crystals. The article concludes with a description of some of the most significant crystal defects such as point defects, line defects, and stacking faults.
Book Chapter
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004018
EISBN: 978-1-62708-185-6
... packed (but not closely packed) planes in body-centered cubic crystals. Slip systems in face-centered cubic, body-centered cubic, and hexagonal close-packed structures Table 1 Slip systems in face-centered cubic, body-centered cubic, and hexagonal close-packed structures Crystal structure...
Abstract
Plastic deformation can occur in metals from various mechanisms, such as slip, twinning, diffusion creep, grain-boundary sliding, grain rotation, and deformation-induced phase transformations. This article emphasizes on the mechanism of slip and twinning under cold working conditions. It discusses the factors on which the structures developed during plastic deformation depend. These factors include crystal structure, amount of deformation, composition, deformation mode, and deformation temperature and rate. The article illustrates the microstructural features that appear after substantial deformation when revealed through metallographic investigation.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003735
EISBN: 978-1-62708-177-1
... involved in massive transformations and illustrates the resulting phases and structures in ferrous and nonferrous metals and alloys. ferrous metals massive transformation structure nonferrous metals nucleation single-crystal growth MASSIVE TRANSFORMATIONS involve a transition in crystal...
Abstract
Massive transformations are thermally activated phenomena and exhibit nucleation and growth characteristics primarily controlled by the interface between parent and product phases that is generally considered incoherent. This article focuses on the nucleation and growth kinetics involved in massive transformations and illustrates the resulting phases and structures in ferrous and nonferrous metals and alloys.
Series: ASM Handbook
Volume: 2
Publisher: ASM International
Published: 01 January 1990
DOI: 10.31399/asm.hb.v02.a0001106
EISBN: 978-1-62708-162-7
... polycrystalline diamond or CBN tools. Synthesis of Diamond and Cubic Boron Nitride The basic objective in the synthesis of diamond and CBN is to transform a crystal structure from a soft hexagonal form to a hard cubic form. In the case of carbon, for example, hexagonal carbon (graphite) would...
Abstract
Synthetic diamond and cubic boron nitride are among a class of superhard materials from the boron-carbon-nitrogen-silicon family of elements. This article focuses on the two materials, the forms in which they are produced, and their respective properties. Synthetic diamond and cubic boron nitride compounds are available in the form of grit and sintered polycrystalline blanks of various size, shape, and composition. The article explains how superabrasive grains made from these materials can be used in lapping, polishing, and grinding applications, and how diamond and boron nitride blanks can be mounted to suitable substrates to form ultrahard cutting edges and tools.
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006375
EISBN: 978-1-62708-192-4
...-crystal SiC {0001} surface after ten passes of rhodium and titanium pins in ultrahigh vacuum: (a) Rhodium pin; hexagonal cracking. (b) Titanium pin; hexagonal pit. Vacuum pressure, 10 –8 Pa; room temperature Figure 16 illustrates the SiC wear debris produced by ten-pass sliding of aluminum pins...
Abstract
This article discusses the adhesion behavior of materials in low-pressure and vacuum environments and provides a schematic illustration of an apparatus for measuring adhesion and friction in ultrahigh vacuum. It describes the effects of low-oxygen pressures and vacuum environments on adhesion and friction, as well as the effects of defined exposure to oxygen on friction. The article discusses the wear of various metals in contact with ceramics, and alloying element effects on friction, wear, and transfer of materials. It also describes studies that characterize the contributions of surface contamination and chemical changes to tribology in low-pressure and vacuum environments.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001758
EISBN: 978-1-62708-178-8
... , can be constructed for use in determining the crystal structure. Unit Cells Unit cells are divided into triclinic, monoclinic, orthorhombic, tetragonal, hexagonal, trigonal (rhombohedral), and cubic crystal systems. A crystal system is assigned on the basis of its symmetry, not the shape...
Abstract
The primary goal of single-crystal x-ray diffraction is to determine crystal structure and the arrangement of atoms in a unit cell. This article discusses the diffraction of light through line gratings and explains the significance of crystal symmetry, space groups, and diffraction intensities. It also addresses phase and crystallographic analysis along with related challenges, and presents several application examples highlighting various experimental techniques.
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003716
EISBN: 978-1-62708-182-5
... in gases has been primarily a problem in combustion systems. Thus, the gas-metal reactions are usually referred to as oxidation in its broad chemical sense, whether the reaction is with pure oxygen, water, sulfur dioxide (SO 2 ), or whatever the gas might be. The corrosion product (oxide layer) is termed...
Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006221
EISBN: 978-1-62708-163-4
..., monoclinic; cc, complex cubic. Source: Ref 1 Fig. 2 Arrangement of atoms: (a) face-centered cubic (fcc), (b) hexagonal close-packed (hcp), and (c) body-centered cubic (bcc) crystal structures. Source: Ref 2 Crystals have been classified into seven basic systems (see the appendix...
Abstract
The application of phase diagrams is instrumental in solid-state transformations for the processing and heat treatment of alloys. A unary phase diagram plots the phase changes of one element as a function of temperature and pressure. This article discusses the unary system that can exist as a solid, liquid, and/or gas, depending on the specific combination of temperature and pressure. It describes the accomplishment of conversion between weight percentage and atomic percentage in a binary system by the use of formulas. The article analyzes the effects of alloying on melting/solidification and on solid-state transformations. It explains the construction of phase diagrams by the Gibbs phase rule and the Lever rule. The article also reviews the various types of alloy systems that involve solid-state transformations. It concludes with information on the sources of phase diagram.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005413
EISBN: 978-1-62708-196-2
..., stage IV work hardening, and the various classes of single-phase alloys. internal-state variable modeling plastic flow stress-strain behavior polycrystal modeling face-centered cubic metals strain rate diffusion hexagonal metals work hardening IF AN ABSOLUTELY PERFECT SINGLE CRYSTAL...
Abstract
This article focuses on the analyzing and modeling of stress-strain behavior of polycrystals of pure face-centered cubic (fcc) metals in the range of temperatures and strain rates where diffusion is not important. It presents a phenomenological description of stress-strain behavior and provides information on the physical background, alternative interpretations, and directions of research. The quantitative description of strain hardening of fcc polycrystals is provided. The article also discusses the modeling of stress-strain behavior in body-centered cubic metals, hexagonal metals, stage IV work hardening, and the various classes of single-phase alloys.
Book Chapter
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003165
EISBN: 978-1-62708-199-3
...% tensile elongation) at room temperature, which is attributed to a large covalent component in its atomic bonding in the c -axis direction and to its hexagonal close-packed (hcp) crystal structure, which is limited at room temperature to only one slip direction on two crystal planes, basal and prism...
Abstract
Beryllium possesses an unusual combination of physical and mechanical properties, suiting it for specialized applications where its relatively high cost can be justified. It has very low density, a moderately high melting point, high elastic modulus, and good electrical and thermal conductivity. The article describes structural, instrument, and optical grade beryllium and the corresponding compositional ranges. It also discusses processing and product forms as well as factors affecting corrosion resistance. The article concludes with a short note on health and safety considerations when handling beryllium.
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004028
EISBN: 978-1-62708-185-6
... Abstract This article outlines several polycrystal formulations commonly applied for the simulation of plastic deformation and the prediction of deformation texture. It discusses the crystals of cubic and hexagonal symmetry that constitute the majority of the metallic aggregates used...
Abstract
This article outlines several polycrystal formulations commonly applied for the simulation of plastic deformation and the prediction of deformation texture. It discusses the crystals of cubic and hexagonal symmetry that constitute the majority of the metallic aggregates used in technological applications. The article defines the basic kinematic tensors, reports their relations, and presents expressions for calculating the change in crystallographic orientation associated with plastic deformation. It surveys some of the polycrystal models in terms of the relative strength of the homogeneous effective medium (HEM). The article analyzes the anisotropy predictions of rolled face-centered-cubic and body centered-cubic sheets and presents simulations of the axial deformation of hexagonal-close-packed zirconium. The applications of polycrystal constitutive models to the simulation of complex forming operations, through the use of the finite element method, are also presented.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005400
EISBN: 978-1-62708-196-2
... the stress-based approach of the Bishop and Hill procedure to directly find stress states that could simultaneously operate at least five independent slip systems. It presents ways to find isostress or lower-bound yield loci for sheets having single-crystal orientation. plasticity Schmid's law...
Abstract
This article presents the Schmid's law that describes the response of crystal structures to loading. It describes the Taylor model to calculate the uniaxial yield stress of an isotropic face-centered cubic aggregate in terms of critical resolved shear stress. The article discusses the stress-based approach of the Bishop and Hill procedure to directly find stress states that could simultaneously operate at least five independent slip systems. It presents ways to find isostress or lower-bound yield loci for sheets having single-crystal orientation.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.9781627081771
EISBN: 978-1-62708-177-1
Book Chapter
Book: Machining
Series: ASM Handbook
Volume: 16
Publisher: ASM International
Published: 01 January 1989
DOI: 10.31399/asm.hb.v16.a0005701
EISBN: 978-1-62708-188-7
...DOI: 10.31399/asm.hb.v16.a0005701 Abbreviations and Symbols a wheel depth of cut in grinding; crystal CFR Code of Federal Regulations f feed rate lattice length along the a-axis CHM chemical milling ft feed per tooth CIM computer integrated manufacturing A area CL cutter location F force em...
Series: ASM Handbook
Volume: 16
Publisher: ASM International
Published: 01 January 1989
DOI: 10.31399/asm.hb.v16.9781627081887
EISBN: 978-1-62708-188-7