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lattice constant

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Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240003
EISBN: 978-1-62708-251-8
... . The intersections of the lines, called lattice points, represent locations in space with the same kind of atom or group of atoms of identical composition, arrangement, and orientation. The geometry of a space lattice is completely specified by the lattice constants a, b , and c and the interaxial angles α, β...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.tb.sap.t53000131
EISBN: 978-1-62708-313-3
...Abstract Abstract This appendix provides crystal structure and property data for alloying elements used in superalloys. alloying elements atomic radius atomic weight density interatomic distance lattice constant melting point Properties of common superalloy alloying elements...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240625
EISBN: 978-1-62708-251-8
... belong to the unit cell. Therefore, the number of atoms belonging to the unit cell is: (Eq B.16) N = 12 × 1 6 + 2 × 1 2 + 3 × 1 = 6 In an ideal hcp structure, the ratio of the lattice constants c / a is 1.633. In this ideal packing arrangement, the layer between the two...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420363
EISBN: 978-1-62708-310-2
... single crystal. It is not suitable for the determination of lattice parameters but is used for the determination of crystal orientation and the detection of lattice imperfections. The rotating single-crystal method uses a constant wavelength beam while the diffracting crystal is rotated. This method...
Series: ASM Technical Books
Publisher: ASM International
Published: 31 December 2020
DOI: 10.31399/asm.tb.phtbp.t59310001
EISBN: 978-1-62708-326-3
... are the same, then they will both have the same packing factors. Two lattice parameters, c and a , also shown in Fig. 4 , are needed to completely describe the hcp unit cell. In an ideal hcp structure, the ratio of the lattice constants c / a is 1.633. In this ideal packing arrangement, the layer...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060013
EISBN: 978-1-62708-261-7
...Abstract Abstract This chapter introduces many of the key concepts on which metallurgy is based. It begins with an overview of the atomic nature of matter and the forces that link atoms together in crystal lattice structures. It discusses the types of imperfections (or defects) that occur...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420073
EISBN: 978-1-62708-310-2
... passes through a maximum, while the ductility curve, as measured by percent elongation, passes through a minimum. Properties that are almost unaffected by atom interactions vary more linearly with composition. Examples include the lattice constant, thermal expansion, specific heat, and specific volume...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.bcp.t52230027
EISBN: 978-1-62708-298-3
...—commercial grades, g/cm 3 1.82–1.85 Electronic structure 1s 2 2s 2 Crystal structure, < 1250 °C Hexagonal close-packed (α-Be) Crystal structure, > 1250 °C Body-centered cubic (β-Be) Lattice constants, Å a = 2.286; c = 3.583; c/a = 1.568; ideal = 1.633 Source: CRC 2003–2004...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2006
DOI: 10.31399/asm.tb.ex2.t69980141
EISBN: 978-1-62708-342-3
... Miller’s indices for space lattices. (a) Designation of lattice planes. (b) Examples of planes in the cubic lattice. (c) Examples of directions in the cubic lattice Fig. 4.63 Representation of textures in pole figures. [111] pole figure from the section core of an extruded AlCuMg bar [Moe 75...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240075
EISBN: 978-1-62708-251-8
... as the solvent. As shown in Fig. 6.6 , the strength curve passes through a maximum, while the ductility curve, as measured by percent elongation, passes through a minimum. Properties that are almost unaffected by atom interactions vary more linearly with composition. Examples include the lattice constant...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240063
EISBN: 978-1-62708-251-8
... diffusion coefficients diffusion path temperature dependence DIFFUSION is the movement of atoms through the crystalline lattice. At all temperatures above absolute zero, the atoms in gases, liquids, and solids are in a constant state of motion. In gases, the atomic movement is very rapid. While...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240303
EISBN: 978-1-62708-251-8
... −185 °C (−300 °F). Thus: (Eq 17.16) ρ t = ρ o + a T where ρ o and a are constants for each particular metal. This dependence of the thermal resistivity component on temperature is due to the increase in thermal vibrations and other lattice irregularities with temperature...
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 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060049
EISBN: 978-1-62708-261-7
... relationship for yield strength, σ y , with grain size is given as: (Eq 3.7) σ y = σ i + k d − 1 / 2 where σ i is an intrinsic grain lattice friction stress, k is taken as a material constant, and d is the average grain diameter. Thus, kd -1/2 may...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240631
EISBN: 978-1-62708-251-8
... and the detection of lattice imperfections. The rotating single-crystal method uses a constant wavelength beam while the diffracting crystal is rotated. This method is used mostly for determining the structure of single crystals. The Debye-Scherrer powder method uses an x-ray beam of constant wavelength...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.pht2.t51440009
EISBN: 978-1-62708-262-4
..., although time is indicated on the horizontal. As pure iron, in this case, cools, it changes from one phase to another at constant temperature. No attempt is made, however, to quantify time, but merely to indicate as a matter of interest that as temperature increases, reaction time decreases, which is true...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2002
DOI: 10.31399/asm.tb.mgppis.9781627082587
EISBN: 978-1-62708-258-7
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2006
DOI: 10.31399/asm.tb.ex2.9781627083423
EISBN: 978-1-62708-342-3
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240041
EISBN: 978-1-62708-251-8
.... It presents four rules that give a qualitative estimate of the ability of two metals to form substitutional solid solutions: relative size factor, chemical affinity factor, relative valency factor, and lattice type factor. The chapter provides information on alloys that form an ordered structure during...
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
... and impurities affect the conductivities of metals. Their effects can be understood in terms of how they influence mobility. Valence electrons form an electron gas that is free to move throughout a metal. They are in constant motion. If there is no applied field, their movement is random. However, an electric...