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crystal lattice

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Image
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 (tilt More
Image
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 More
Image
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 More
Image
Published: 31 August 2017
Fig. 1 Crystal lattice of iron as a function of temperature. Source: Ref 1 More
Image
Published: 01 January 1996
Fig. 9 Part of a {111} plane of the fcc crystal lattice, showing the positions of the atoms of the two next planes stacked above (B and C) More
Image
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. More
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...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001761
EISBN: 978-1-62708-178-8
...Abstract Abstract In x-ray diffraction residual stress measurement, the strain in the crystal lattice is measured, and the residual stress producing the strain is calculated, assuming a linear elastic distortion of the crystal lattice. This article provides a detailed account of the plane...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001756
EISBN: 978-1-62708-178-8
... and detected. It also describes the crystalline nature of certain materials and how the geometry of a unit cell, and hence crystal lattice, affects the direction and intensity of diffracted x-ray beams. The article concludes with several application examples involving measurements on single and polycrystalline...
Image
Published: 01 January 1997
Fig. 9 Two-dimensional representation of a crystal illustrating a vacant lattice site. Source: Ref 3 More
Image
Published: 01 January 2000
Fig. 2 Examples of crystal structures. Unit cells: (a) simple cubic, (b) face-centered cubic, (c) body-centered cubic, and (d) hexagonal close-packed. A crystal lattice: (e) three-dimensional simple cubic More
Image
Published: 01 December 2004
Fig. 10 Calculated energy of the boundary between two grains as a function of the angle of misorientation between the crystal lattices of the grain. The energy becomes maximum ( E m ) at angle θ m . More
Book Chapter

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
...Abstract 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...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003084
EISBN: 978-1-62708-199-3
...Abstract 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...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005424
EISBN: 978-1-62708-196-2
... formulations crystal plasticity deforming crystals polycrystals elastic behaviour plastic behavior SOLID METALLIC MATERIALS typically are crystalline, existing with well-defined lattice structures. The lattices possess certain symmetries dependent on the packing arrangements of atoms. Accompanying...
Book Chapter

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
...Abstract 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...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003254
EISBN: 978-1-62708-176-4
..., although it is possible to produce amorphous metals (i.e., those with random atomic arrangement) in limited quantities. The basic building block of the crystal lattice is the unit cell, some examples of which are shown in Fig. 2(a) through (d) . By repeating this arrangement in three dimensions...
Image
Published: 01 December 2009
Fig. 17 Comparisons of measured and computed lattice strains for crystals having a 004 direction aligned with the specimen x -direction. Loaded and unloaded states are shown. More
Image
Published: 01 December 2009
Fig. 18 Comparisons of measured and computed lattice strains for crystals having a 222 direction aligned with the specimen x -direction. Loaded and unloaded states are shown. More
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
...Abstract 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...