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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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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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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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in Modeling and Simulation of Microstructure Evolution during Heat Treatment of Titanium Alloys
> Heat Treating of Nonferrous Alloys
Published: 01 June 2016
Fig. 6 Schematic lattice correspondence between the body-centered cubic (bcc) β phase and the hexagonal close-packed (hcp) α phase during β → α transformation maintaining Burgers orientation relationship in both (a) to (c) three dimension and (e) to (f) two dimension. Source: Ref 15
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in Modeling and Simulation of Microstructure Evolution during Heat Treatment of Titanium Alloys
> Heat Treating of Nonferrous Alloys
Published: 01 June 2016
Fig. 7 Schematic lattice correspondences between β (body-centered cubic, or bcc) and α″ (orthorhombic) phases during β → α″ martensitic transformation. Source: Ref 5
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in Modeling and Simulation of Microstructure Evolution during Heat Treatment of Titanium Alloys
> Heat Treating of Nonferrous Alloys
Published: 01 June 2016
Fig. 8 Atomic lattice positions in the β, α(α′), and α″ crystal structures. (a) Viewed along the c -axis or β {011} plane normal, (b) viewed along the b -axis prism plane normal or β {110} plane normal; bcc, body-centered cubic
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in Modeling and Simulation of Microstructure Evolution during Heat Treatment of Titanium Alloys
> Heat Treating of Nonferrous Alloys
Published: 01 June 2016
Fig. 11 Schematic lattice correspondences between the body-centered cubic (bcc) β phase and the hexagonal close-packed α phase during β → α transformation when maintaining (a) Pitsch-Schrader and (b) Burgers orientation relationships
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Published: 01 October 2014
Fig. 13 Lattice parameter of nitrogen- and carbon-stabilized expanded austenite (S-phase) as a function of the number of interstitial nitrogen or carbon atoms per metal atom (γ N or γ C ). Source: Ref 13
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Published: 01 October 2014
Fig. 3 Lattice parameter of (expanded) austenite as a function of the interstitial content of nitrogen and carbon. The data were obtained with x-ray diffraction on nitrided or carburized thin foils. Source: Ref 46 , 47 , 48
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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 2005
Fig. 2 Deformation in a crystal lattice from slip of line defect (dislocation) from a position in (a) to the edge in (c). The vector b is the Burgers vector, which is defined as the unit displacement of a dislocation.
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Published: 01 January 2005
Fig. 8 Twinning in body-centered cubic lattice resulting from shear parallel to (112) planes in the [ 1 ¯ 1 ¯ 1] direction. Source: Ref 6
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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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in Principles of Superconductivity
> Properties and Selection: Nonferrous Alloys and Special-Purpose Materials
Published: 01 January 1990
Fig. 6 The magnetic flux line lattice predicted by Abrikosov for type II supeconductors in the mixed state. The field enters as individual units of magnetic flux (the flux quantum, Φ 0 ) in a triangular array. The areal density of the flux lines is equal to the internal magnetic field.
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in Principles of Superconductivity
> Properties and Selection: Nonferrous Alloys and Special-Purpose Materials
Published: 01 January 1990
Fig. 10 Triangular flux line lattice in a lead-indium alloy type II superconductor. Small ferromagnetic particles are attracted to the points of high-field density in the core of the flux lines. The flux line positions are seen using a replica in the transmission electron microscopy (TEM
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in Properties of Pure Metals
> Properties and Selection: Nonferrous Alloys and Special-Purpose Materials
Published: 01 January 1990
Fig. 1 Variation of density of pure aluminum with temperature. Lattice parameter data given for solid aluminum
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in Directionally Solidified and Single-Crystal Superalloys
> Properties and Selection: Irons, Steels, and High-Performance Alloys
Published: 01 January 1990
Fig. 12 Influence of alloying elements on the lattice parameter of binary nickel alloys. Source: Ref 21
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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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