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Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006293
EISBN: 978-1-62708-163-4
.... The lattice parameters of the unit cells are given in nanometers. The compilation of the table is restricted to changes in crystal structure that occur as a result of a change in temperature or pressure. allotropes crystal structure lattice parameter metallic elements phase transformation...
Abstract
This article presents a table of the crystal structure of allotropic forms of metallic elements in terms of the Pearson symbol, space group, and prototype of the structure. The temperatures of the phase transformations are listed in degree Celsius and the pressures are in GPa. The lattice parameters of the unit cells are given in nanometers. The compilation of the table is restricted to changes in crystal structure that occur as a result of a change in temperature or pressure.
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in Simulation-Driven Design and the Role of Optimization in Design for Additive Manufacturing
> Additive Manufacturing Design and Applications
Published: 30 June 2023
Fig. 20 Architectured beam lattice. (a) Triangular lattice formed by beams. (b) Results of a neural network fitting of lattice properties. Source: Ref 114
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Published: 01 November 2010
Fig. 4 Crystal lattice structure. (a) Coincidence site lattice and structure of a 36.9°<100> (Σ5) grain boundary in a cubic crystal lattice. Right side of figure: grain-boundary plane ∥ plane of the paper (twist boundary). Left side of figure: grain-boundary plane ⊥ plane of the paper
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Published: 01 January 1986
Fig. 4 Diffraction in a crystal lattice and the derivation of the Bragg equation. n λ = r − x r = d tan θ = d cos θ sin θ x = r cos 2 θ = d cos θ cos 2 θ sin θ n λ = d ( cos θ sin θ ) ( 1
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Published: 01 January 1986
Fig. 26 Lattice image of zinc oxide formed by combining the transmitted beam and (002) diffracted beam. The interplanar spacing is 0.26 nm. A grain boundary, inclined relative to the incident electron beam, is visible in the upper portion of the photomicrograph. Courtesy of T.J. Headley
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Published: 01 January 1986
Fig. 1 Singular (a) and vicinal (b) surfaces of a cubic lattice. The solid circles represent atoms having missing nearest-neighbor bonds. The dashed line defines the surface orientation ( hkl ) with surface normal [ hkl ].
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Published: 01 January 1986
Fig. 6 Reciprocal lattice and Ewald construction corresponding to LEED and comparison to real-space picture. (a) Real-space schematic diagram of diffraction from a surface. The electron beam is incident on the sample along the direction given by e − . The five diffracted beams represent
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Published: 01 January 1986
Fig. 7 Diffraction pattern from a superlattice. (a) Rectangular substrate lattice and corresponding diffraction pattern showing fundamental reflections. (b) Substrate plus p (2 × 1) overlayer and corresponding diffraction pattern showing fundamental and superlattice reflections. The overlayer
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in Mechanisms and Appearances of Ductile and Brittle Fracture in Metals
> Failure Analysis and Prevention
Published: 01 January 2002
Fig. 6 Orientation relationships for {1,1,2} ⟨1,1,−1⟩ twinning in the bcc lattice. It is assumed that a crack is propagating on the (0,0,1) cleavage plane and then on the (1,1,−2) K 1 plane in the [111] direction. (The required shear direction for simple shear twinning on the (1,1,−2) plane
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Published: 01 January 2002
Fig. 5 Carbon content versus lattice parameters of (retained) austenite and martensite at room temperature. a at the top of the graph is the lattice parameter of fcc austenite. a and c in the lower half of the graph are the lattice parameters for tetragonal martensite. The ratio of c
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Published: 01 January 1994
Fig. 8 Variation of lattice parameter with cosθcotθ for sputtered titanium nitride in order to extrapolate a lattice parameter, a 0 , corrected for measurement errors
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Published: 01 August 2013
Fig. 1 Crystal structure and lattice spacing of iron atoms with (a) body-centered cubic and (b) face-centered cubic crystal structures. Source: Ref 1
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Published: 01 December 2004
Fig. 36 Martensite shear mechanisms. (a) Parent lattice prior to transformation. (b) Lattice deformation due to transformation. (c) Lattice deformation and slip shear. (d) Lattice deformation and twinning shear. Source: Ref 23 . Reprinted with permission
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Published: 01 December 2004
Fig. 10 Multi-Burgers vector Taylor lattice in Al-5%Mg following 30% cold reduction (cr) (ε vM = 0.41). One reflecting vector (a) suggests random dislocations, while the second (b) reveals an organization along {111} slip planes whose traces are noted by dashed and dotted lines. Source: Ref
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Published: 01 December 2004
Fig. 11 Taylor lattice (TL) blocks with geometrically necessary boundaries (GNBs) (i.e., microbands, or MBs, and dense dislocation walls, or DDWs) forming at small to medium strains. (a) Ta-10wt%W following 20% cold reduction (cr) (ε vM = 0.26) two vertical bands of coarse slip are indicated
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in Effects of Metallurgical Variables on Aqueous Corrosion
> Corrosion: Fundamentals, Testing, and Protection
Published: 01 January 2003
Fig. 1 Point defects. A, interstitial atom; B, vacancy; C, foreign atom in lattice site
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Published: 01 December 2004
Fig. 4 Image representation. AFM image of boric acid crystal lattice. (a) Raster format. (b) Spreadsheet view of a small part of the image in (a). (c) Three-dimensional visualization. Courtesy of R. Prioli, PUC-Rio, Brazil
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Published: 01 December 1998
Fig. 20 High-resolution TEM lattice image of zinc oxide formed by combining transmitted and (002) diffracted beams. The interplanar spacing is 0.26 nm. A grain boundary, inclined to the incident beam, is visible in the upper portion of the micrograph. Source: Ref 3
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Published: 15 December 2019
Fig. 4 Diffraction in a crystal lattice and the derivation of the Bragg equation
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