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coordination numbers

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Published: 01 December 2004
Fig. 33 Bivariate distribution of three-dimensional coordination numbers of tungsten grains in a 83 wt% W-Ni-Fe alloy specimen liquid phase sintered in microgravity environment for 1 min at 1507 °C (2745 °F). The Z -axis is the fraction of grains having a given coordination number, and grain More
Image
Published: 01 January 1990
Fig. 3 The metallic radius for a coordination number (CN) of twelve versus the lanthanide atomic number More
Image
Published: 30 September 2015
Fig. 11 (a) Pore shape and pore stability are determined by the dihedral angle and the pore coordination number: the pore with the concave surfaces (left) will shrink whereas the pore with the convex surfaces (right) will grow or become metastable. (b) Conditions for pore stability in three More
Image
Published: 31 August 2017
Fig. 1 Number of atoms in the first coordination sphere obtained by neutron diffraction and x-ray. Source: Ref 2 More
Image
Published: 01 January 1990
Fig. 9 A plot of the electronegativity (in Pauling's units) versus the metallic radius for a coordination number (CN) of 12 of the elements. The rare earth elements are indicated by the solid points. More
Image
Published: 01 December 2009
point; atoms whose coordination number differs from 12 are not shown. Courtesy of J. Li More
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 graphically swept from a body center in cubic spaces. Terminal points are selected at the face centers, vertex tops, and side medians. Fine lattices with coordination numbers of 4, 6, 8, and 12 are connected. The unit structures are periodically arranged at 2 × 3 × 3 = 18. All the junctions are sterically...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003759
EISBN: 978-1-62708-177-1
... , 34 , 35 ) and new techniques for characterization parameters such as microstructural spatial correlations and clustering ( 12 , 22 , 23 , 35 , 36 , 37 ), coordination number distributions ( Ref 35 ), and bivariate and trivariate size-shape-orientation distributions of particles/inclusions in 3...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001762
EISBN: 978-1-62708-178-8
... are removed. Second, the outer region of the RDF should exhibit a uniform distance distribution. Termination errors and errors in the experimental data can cause spurious features in this region. Third, the scaling of the data should be consistent with density measurements, known coordination numbers, or both...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001758
EISBN: 978-1-62708-178-8
... dimensions, and (3) a list of atomic coordinates. Such information as the crystal system, the number of molecules or formula units per unit cell ( Z ), and the volume of the unit cell ( V ) is redundant. The latter two quantities are useful for calculating the density of the crystalline substance, which...
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006650
EISBN: 978-1-62708-213-6
... different perturbations to the Zeeman splitting due to local structure (symmetry, coordination number, etc.), and also local dynamics of different elements. Essentially any magnetic or electronic interaction with the observed nuclear spin affecting the energy levels in Fig. 1 results in the ability...
Image
Published: 30 September 2015
Fig. 10 Relationship between x-ray line broadening and vibratory milling time for Nickel 123 powder. Numbers in parentheses refer to coordinates of atomic planes in face-centered cubic structure. More
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006665
EISBN: 978-1-62708-213-6
... N j atoms (the coordination number). Lambda is the mean free path of the photoelectron. The second exponential containing σ j 2 is a Debye-Waller term in which σ j 2 is not the usual mean-square vibrational amplitude of an atom but the mean-square relative positional...
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
.... If the imaginary plane corresponds to an ( hkl ) plane in the bulk crystal, the surface is defined as an ( hkl ) surface, using the usual Miller indices. Bonds between atoms must be broken to create a surface. The coordination number defines the number of nearest neighbors of any atom in the crystal structure...
Image
Published: 01 December 2004
Fig. 2 Glass fiber honeycomb composite part submitted for failure analysis. The coordinates were established with a tape measure and a felt-tip permanent-ink marker. The starting point is the lower left corner, numbering “1” to “15” vertically (next to holes) and “A” through “E” horizontally More
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006945
EISBN: 978-1-62708-395-9
... bismaleimide Building Of cials and Code Administrators bisphenol A benzophenonetetracarboxylic dianhydride acid cellulose acetate cellulose-acetate-butyrate cellulose-acetate-propionate compact disk carbon ber-reinforced plastic cellulose nitrate coordination number chloroprene rubber Canadian Standards...
Image
Published: 01 January 2006
Fig. 5 Station positions for Fig. 4 , 7 , 11 , 12 , 13 , 14 , 17 , and 29 . Source: Ref 5 Station number Location Chart coordinates 1 Cook Inlet 58° 57′ N 152° 59′ W 2 Northeast Pacific 38° 21′ N 133° 38′ W 3 West coast, U.S. 44° 39′ N 124° 39′ W More
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005348
EISBN: 978-1-62708-187-0
... G modulus of rigidity; thermal gradient ACI Alloy Casting Institute CVM control volume method Gc concentration gradient ADCI American Die Casting Institute CVN Charpy V-notch (impact test or gal. gallon ADI austempered ductile iron GFN grain neness number AFS American Foundrymen s Society specimen...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001764
EISBN: 978-1-62708-178-8
... (the coordination number). Lambda is the mean free path of the photoelectron. The second exponential containing σ j 2 is a Debye-Waller term in which σ j 2 is not the usual mean-square vibrational amplitude of an atom, but the mean-square relative positional fluctuation of the central...
Book Chapter

Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005452
EISBN: 978-1-62708-196-2
... The integral of the algebraic sum of a finite number of functions is the algebraic sum of the integrals of the functions. If u , v , and w are functions of a single variable, for example: ∫ ( d u + d v − d w ) = ∫ d u + ∫ d v − ∫ d w Integration Methods Table 1...