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lattice dimensions

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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...
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 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 lattice...
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...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003251
EISBN: 978-1-62708-199-3
... Debye-Scherrer camera and the X-ray diffractometer. The article also describes the uses of XRD analyses, such as the identification of phases or compounds in metals and ceramics; detection of order and disorder transformation; determination of lattice parameters and changes in lattice parameters due to...
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006277
EISBN: 978-1-62708-169-6
..., and transformation texture development during heat treatment of multicomponent alpha/beta and beta titanium alloys. It includes quantitative description of Burgers orientation relationship and path, discussion of lattice correspondence between the alpha and beta phases, and determination of the total...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003125
EISBN: 978-1-62708-199-3
... shapes; forgings; and impacts. The article provides information on product economics, design and selection, including product dimension and dimension tolerances, and design and use of wrought product capabilities. Finally, it tabulates the specifications and standards for aluminum mill products...
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006268
EISBN: 978-1-62708-169-6
... precipitates that occur in the natural aging and artificial aging of Al-Mg-Si-(Cu) alloys, Al-Mg-Cu alloys, microalloyed Al-Mg-Cu-(Ag, Si) alloys, aluminum-lithium-base alloys, and Al-Zn-Mg-(Cu) alloys. Crystal structure, composition, dimensions, and aging conditions of precipitates are detailed. Effects of...
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
... 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 then must be satisfied simultaneously in three dimensions. Scattering must be considered...
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
... = 1 z γ ( 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...
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
... stress measurement is now introduced through the use of the strain measured in the crystal lattice. If d ϕψ is the spacing between the lattice planes measured in the direction defined by ϕ and ψ, the strain can be expressed in terms of changes in the linear dimensions of the crystal lattice: ε ϕψ...
Series: ASM Handbook
Volume: 12
Publisher: ASM International
Published: 01 January 1987
DOI: 10.31399/asm.hb.v12.a0005697
EISBN: 978-1-62708-181-8
... a crack length; crystal lattice length along the a axis A ampere A area; ratio of the alternating stress amplitude of the mean stress Å angstrom ac alternating current AES Auger electron spectroscopy AIME American Institute of Mining, Metallurgical...
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
... 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-size gratings) broaden the...
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
... by the slit dimensions of the diffractometer. The resolution angle should be as small as possible to maximize the fidelity to the experiment but at the same time large enough to provide meaningful statistics. The lattice strains, given by the elastic strain tensor, are averaged over that set of...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005435
EISBN: 978-1-62708-196-2
... e 2 = e 3 = 0 associated with the stable triangular lattice. Again, above T 0 , A = A 0 ( T − T c ). In three dimensions, symmetry-adapted strains are defined as ( Ref 5 ): (Eq 4) e 1 = 1 3 ( ε x x + ε y y + ε z z ) ,         e 2...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005412
EISBN: 978-1-62708-196-2
... interfaces ( Ref 5 ). In microsystems technology, interfaces determine the service life and performance of devices ( Ref 6 ). Atomistic modeling is a powerful tool for understanding the structure of defects in a crystalline lattice. However, there is an infinite range of possible interface structures, and...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006637
EISBN: 978-1-62708-213-6
... the dimension of area (cm 2 ) and is termed the scattering cross section, Ω is the solid detection angle, Q is the total number of incident projectiles, and Nt is the number of target atoms per unit area of the sample. The scattering cross section for an elastic collision where Coulomb...
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006221
EISBN: 978-1-62708-163-4
... than two components exist in a system, illustrating equilibrium conditions graphically in two dimensions becomes more complicated. One option is to add a third composition dimension to the base, forming a solid diagram having binary diagrams as its vertical sides. This can be represented as a modified...
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006250
EISBN: 978-1-62708-169-6
... is precipitation hardening, in which hardening occurs from the aging of a supersaturated (metastable) solid solution. This article introduces the basic principles of precipitation hardening, while other articles in this Volume give details for specific systems. In a crystal, lattice vibrations...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006644
EISBN: 978-1-62708-213-6
... boundaries, twins, and low-angle grain boundaries, as well as other lattice distortions in crystalline materials of a wide range of chemical compositions and physical properties, such as semiconductors, oxides, metals, and organic materials. The complete name x-ray diffraction topography is a little more...
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006287
EISBN: 978-1-62708-169-6
... SiAl 12 phases are isomorphous. Equally important examples exist in the Al-Cu-Mg-Zn system. In this system, the CuMg 4 Al 6 and Mg 3 Zn 3 Al 2 phases are isomorphous, have nearly the same lattice dimensions, and form a continuous and extensive range of solid solution. In the same system, the...