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lattice dimensions

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Series: ASM Technical Books
Publisher: ASM International
Published: 31 August 2023
DOI: 10.31399/asm.tb.mdsbktmse.t56070007
EISBN: 978-1-62708-451-2
... Define the unit system. Use the metal system because the potential file has constants in this unit system. dimension 3 Operate in three dimensions. boundary p p p Periodic in all three dimensions atom_style atomic atom_modify map array atomic style is used in this simulation. lattice...
Series: ASM Technical Books
Publisher: ASM International
Published: 31 August 2023
DOI: 10.31399/asm.tb.mdsbktmse.9781627084512
EISBN: 978-1-62708-451-2
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540357
EISBN: 978-1-62708-309-6
... grain contains many crystals, which are composed of atoms, ions, or molecules arranged in a pattern that is periodic in three dimensions. In contrast, the grain boundaries are disruptions between the crystal lattices of individual grains, and these disruptions in the grain-boundary regions provide...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.tb.ems.t53730037
EISBN: 978-1-62708-283-9
... a net drift velocity. Any irregularity in the lattice will cause a random change in the path. The drift velocity increases with the field and the mean free path between interactions with lattice irregularities. Therefore, the conductivity and mobility are determined by the mean free path. Figure 4.1...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.tb.msisep.t59220001
EISBN: 978-1-62708-259-4
... the atoms are regularly organized in a lattice, forming a crystal. The way the atoms are organized in a metal or in an alloy determines several properties of the metal. Ferrous alloys having the face-centered cubic (FCC) structure, for instance, are nonmagnetic, whereas alloys with the body-centered cubic...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240003
EISBN: 978-1-62708-251-8
... crystalline structures. Therefore, metals and ceramics are, in general, crystalline, while glasses and polymers are mostly amorphous. 1.3.1 Space Lattices and Crystal Systems A crystalline structure consists of atoms, or molecules, arranged in a pattern that is repetitive in three dimensions...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2021
DOI: 10.31399/asm.tb.ciktmse.t56020013
EISBN: 978-1-62708-389-8
... to 1000 K. Over this temperature range, the linear dimension of solid expands by 0.13%. X-ray diffraction mea- surements show that the lattice constant increases by 0.12%. Given that the vacancy concentration of this material at 800 K is 1 Â 10À6, determine the activation energy for vacancy production. 20...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410063
EISBN: 978-1-62708-265-5
... schematic on the left of Fig. 5.11(b) . At this stage, the dimensions of the bct cell are still those derived from the austenitic lattice parameter. The unit cell on the right of Fig. 5.11(b) is that of martensite with lattice parameters a and c , corresponding to given carbon content (see Fig. 5.2...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420363
EISBN: 978-1-62708-310-2
... glasses and polymers are mostly amorphous. Space Lattices and Crystal Systems A crystalline structure consists of atoms, or molecules, arranged in a pattern that is repetitive in three dimensions. The arrangement of the atoms or molecules in the interior of a crystal is called its crystalline...
Series: ASM Technical Books
Publisher: ASM International
Published: 31 December 2020
DOI: 10.31399/asm.tb.phtbp.t59310001
EISBN: 978-1-62708-326-3
... Abstract The building block of all matter, including metals, is the atom. This chapter initially provides information on atomic bonding and the crystal structure of metals and alloys, followed by a description of three crystal lattice structures of metals: face-centered cubic, hexagonal close...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2012
DOI: 10.31399/asm.tb.smff.t53400027
EISBN: 978-1-62708-316-4
... Constancy during Plastic Deformation Plastic deformation is caused microscopically either by the slip or twinning of atomic layers. These operations do not change the volume of the metal, which would require a permanent change of the lattice dimensions. This fact that the volume must remain constant...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060013
EISBN: 978-1-62708-261-7
... of a crystal determines the type of crystalline structure that is present. A distribution of points (or atoms) in three dimensions is said to form a space lattice if every point has identical surroundings, as shown in Fig. 2.7 . The intersections of the lines, called lattice points, represent locations...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240303
EISBN: 978-1-62708-251-8
... properties that can be measured or characterized without application of force and without changing the material identity. They are relatively insensitive to structure. Common physical properties include density, lattice parameter, electrical properties such as conductivity and dielectric permittivity...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 1999
DOI: 10.31399/asm.tb.lmcs.t66560427
EISBN: 978-1-62708-291-4
... is often, but not always, due to a phase change (precipitation), but never involves a change in chemical composition of the metal or alloy. allotriomorphic crystal. A crystal whose lattice structure is normal but whose external surfaces are not bounded by regular crystal faces; rather, the external...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2021
DOI: 10.31399/asm.tb.ciktmse.9781627083898
EISBN: 978-1-62708-389-8
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060049
EISBN: 978-1-62708-261-7
... the strain, the original dimension or shape of the undeformed body is compared to the same dimension or shape in the deformed body. The method used to calculate the strain has the same units in both the numerator and the denominator, and so these units cancel each other out, resulting in a pure number...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 1999
DOI: 10.31399/asm.tb.lmcs.9781627082914
EISBN: 978-1-62708-291-4
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 1983
DOI: 10.31399/asm.tb.mlt.t62860001
EISBN: 978-1-62708-348-5
... )/ k = g 2 kT /4 f 3 = 3 αγT Lattice parameter a ( T ) – a (0) = – gkT /2 f 2 = 3 kTγ / fa Thermal expansivity α = (1/ a )( da / dT ) = – gk /2 f 2 a = 3 kγ / fa 2 Force constants f ( T ) = f – g 2 kT /2 f 2 = f – 18 kTγ 2 / a 2 df ( T )/ dT = – g 2...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2006
DOI: 10.31399/asm.tb.ex2.t69980141
EISBN: 978-1-62708-342-3
... extruded. Nonmetallic particles or fibers are uniformly embedded in a metallic matrix, usually artificially, to improve the mechanical properties and often to reduce wear. These materials are also discussed briefly in this chapter. 4.2 Structure 4.2.1 Lattice Structure Single Phase All metals...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410017
EISBN: 978-1-62708-265-5
..., and on heating go to the left. Crystal Structures of Iron The crystal structure of ferrite is characterized by the unit cell shown in Fig. 3.2 . Ferrite belongs to the cubic crystal system—all three axes of the unit cell are of the same length a and are mutually perpendicular. The space lattice...