1-20 of 383 Search Results for

lattice dimensions

Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
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 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...
Image
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 More
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
... the screen. Fig. 3 Cones of diffraction. This one-dimensional arrangement is only part of crystal diffraction. Because the crystal is periodic in three dimensions, the lattice sites act as the scattering centers. The conditions illustrated must then be satisfied simultaneously in three...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003084
EISBN: 978-1-62708-199-3
... by using hexagonal axes (rhombohedral-hexagonal). Fig. 2 Crystal axes and unit-cell edge lengths. (Unit-cell faces are shown in the illustration, but to avoid confusion, they are not labeled.) Lattice Dimensions It should be noted that the unit-cell edge lengths and interaxial angles...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006643
EISBN: 978-1-62708-213-6
... positioned some distance beyond the mask. The diffraction pattern is a series of lines at which the cones intersect the screen. Fig. 3 Cones of diffraction This one-dimensional arrangement is only part of crystal diffraction. Because the crystal is periodic in three dimensions, the lattice...
Series: ASM Handbook
Volume: 23A
Publisher: ASM International
Published: 12 September 2022
DOI: 10.31399/asm.hb.v23A.a0006887
EISBN: 978-1-62708-392-8
... are arranged at equal intervals, whereas the linear segments are imputed as start- and stop-point coordinates. Solid models of biological scaffolds are automatically provided to an analytic mesh generator. The enclosed inner or outer spaces are divided into polyhedral elements with controlled dimensions...
Series: ASM Handbook
Volume: 24A
Publisher: ASM International
Published: 30 June 2023
DOI: 10.31399/asm.hb.v24A.a0006951
EISBN: 978-1-62708-439-0
... approaches to establishing parameter dimensions for architected materials, computational tools have also been employed to drive these decisions. Some examples include the lattice structure topology optimization method proposed by To and his coworkers ( Ref 24 ) and similar approaches developed by Sigmund...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003721
EISBN: 978-1-62708-177-1
..., and their arrangement/morphology in multiphase systems Textured structure , when the crystal lattices of grains in a polycrystalline material are arranged in a correlated or organized manner from a preferred orientation of the grains Structural features from composition effects on phase relations and from...
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
... in the crystal lattice. Microstresses are associated with strains within the crystal lattice that traverse distances on the order of or less than the dimensions of the crystals. Microstresses vary from point to point within the crystal lattice, altering the lattice spacing and broadening the diffraction peak...
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...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006632
EISBN: 978-1-62708-213-6
... between dislocation tangles within the crystal lattice that traverse distances much less than the dimensions of the crystals. Broadening of the diffraction peaks used for macroscopic residual-stress measurement arises from variation in the local lattice spacing of the coherent diffracting domains...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005428
EISBN: 978-1-62708-196-2
... ( s i , s j ) where N is the total number of lattice sites in the system, and z is the maximum number of neighbors. The definition of neighbor orientation depends on the dimension and co-ordination of the lattice, which is covered later. It is the reduction of interface energy...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006655
EISBN: 978-1-62708-213-6
... to the incident beam, the reciprocal lattice rotates about its origin. The discussion of diffraction so far has made no reference to the size of the two-dimensional grating. It has been assumed that the grating is infinite. As in three dimensions, finite sizes of the ordered regions on the surface (finite...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001769
EISBN: 978-1-62708-178-8
... surface energy and are less stable than singular surfaces because of the larger number of broken bonds per unit area. 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...
Series: ASM Handbook Archive
Volume: 12
Publisher: ASM International
Published: 01 January 1987
DOI: 10.31399/asm.hb.v12.a0005697
EISBN: 978-1-62708-181-8
... DOI: 10.31399/asm.hb.v12.a0005697 Abbreviations and Symbols* a crack length; crystal lattice length along the a axis A ampere A area; ratio of the alternating stress amplitude to the mean stress A angstrom ac alternating current AES Auger electron spectroscopy AIME American Institute of Mining...
Series: ASM Handbook Archive
Volume: 12
Publisher: ASM International
Published: 01 January 1987
DOI: 10.31399/asm.hb.v12.9781627081818
EISBN: 978-1-62708-181-8
Series: ASM Handbook
Volume: 24A
Publisher: ASM International
Published: 30 June 2023
DOI: 10.31399/asm.hb.v24A.a0006947
EISBN: 978-1-62708-439-0
... and material simultaneously. Due to layer-by-layer fabrication, AM processes have some unique characteristics ( Ref 1 ). More specifically, they can exhibit complexity along different dimensions. Shape Complexity Parts can have virtually any shape. Related to this is the capability to fabricate very...
Series: ASM Handbook
Volume: 24A
Publisher: ASM International
Published: 30 June 2023
DOI: 10.31399/asm.hb.v24A.a0006953
EISBN: 978-1-62708-439-0
..., such as lattice structures and internal structures (cavities, channels), that were not possible to manufacture with conventional manufacturing methods in a straightforward manner. However, this layerwise nature of the AM processes leads to typical AM flaws ( Ref 1 – 4 ), such as cross-layer flaws, layer-specific...
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 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...
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 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...