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coordination numbers
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Image
in Quantitative Characterization and Representation of Global Microstructural Geometry
> Metallography and Microstructures
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
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Image
Published: 01 January 1990
Fig. 3 The metallic radius for a coordination number (CN) of twelve versus the lanthanide atomic number
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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
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in The Liquid State and Principles of Solidification of Cast Iron
> Cast Iron Science and Technology
Published: 31 August 2017
Fig. 1 Number of atoms in the first coordination sphere obtained by neutron diffraction and x-ray. Source: Ref 2
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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.
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Published: 01 December 2009
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...
Abstract
Stereolithographic (STL) additive manufacturing (AM) can be used to fabricate practical components. This article discusses the processes involved in STL-AM of biological scaffolds, providing information on bioscaffold processing, cavity arrangements, and microlattice distributions. Within the last topic, the sub-topic of scaffold modulation is discussed.
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...
Abstract
The objective of quantitative metallography/stereology is to describe the geometric characteristics of the features. This article discusses the geometric attributes of microstructural features that can be divided into: the numerical extents and the number density of microstructural features; derived microstructural properties; feature specific size, shape, and orientation distributions; and descriptors of microstructural spatial clustering and correlations. It emphasizes on the practical aspects of the measurement techniques and applications. The article also provides information on the quantitative metallographic methods for estimation of volume fraction, total surface area per unit volume, and total length of per unit volume.
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...
Abstract
The diffraction pattern of any material contains structural and chemical property information that can be extracted using radial distribution function analysis. This article provides an introduction to the technique and presents several examples highlighting various ways in which it can be used. It begins with a discussion on the principles of diffraction and scattering and the effectiveness of x-ray, neutron, and electron energy sources for different types of measurements. It provides information on data collection and reduction and explains how to create atomic distribution plots from intensity and scattering angle data. The article also presents application parameters for defining short distances and background intensity and describes a procedure for generating pair distribution functions.
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...
Abstract
The primary goal of single-crystal x-ray diffraction is to determine crystal structure and the arrangement of atoms in a unit cell. This article discusses the diffraction of light through line gratings and explains the significance of crystal symmetry, space groups, and diffraction intensities. It also addresses phase and crystallographic analysis along with related challenges, and presents several application examples highlighting various experimental techniques.
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.
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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...
Abstract
This article focuses on the application of solid-state nuclear magnetic resonance (NMR) spectroscopy in materials science, especially for inorganic and organic polymer solids. It begins with a discussion on the general principles of NMR, providing information on nuclear spin descriptions and line narrowing and spectral resolution and describing the impact of magnetic field on nuclear spins and the factors determining resonance frequency. This is followed by a description of various systems and equipment necessary for NMR spectroscopy. A discussion on general sampling for solid-state NMR, sample-spinning requirements, and extraneous signals is then included. Various factors pertinent to accurate calibration of the NMR spectrum are also described. The article provides information on some of the parameters both beneficial and problematic for processing NMR data. It ends with a description of the applications of NMR in glass science and ceramics.
Book Chapter
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...
Abstract
This article provides a detailed account of extended x-ray absorption fine structure (EXAFS). It begins with a description of the fundamentals of EXAFS, providing information on the physical mechanism, single-scattering approximation, and multiple-scattering effects. This is followed by a discussion on the use of synchrotron radiation as an X-ray source for EXAFS. Data-reduction procedures used to extract EXAFS signals are then described. The article also provides information on the analysis of x-ray absorption near-edge structure spectrum and ends with a discussion on the unique features and applications of EXAFS.
Image
in Sample Preparation and Mounting for Fiber-Reinforced Composites[1]
> Metallography and Microstructures
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
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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...
Abstract
Low-energy electron diffraction (LEED) is a technique for investigating the crystallography of surfaces and overlayers adsorbed on surfaces. This article describes the principles of diffraction from surfaces, and elucidates the method of sample preparation to achieve diffraction patterns. The article describes the limitations of surface sensitive electron diffraction and discusses the applications of LEED with examples.
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
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Book Chapter
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...
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...
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...
Abstract
This article provides an introduction to extended x-ray absorption fine structure (EXAFS). It describes the fundamentals of EXAFS with an emphasis on the physical mechanism, the single-scattering approximation, and multiple-scattering effects. The article discusses the use of synchrotron radiation as the x-ray source for EXAFS experiments. It also describes the typical EXAFS data analysis of pure nickel at 90 K, and explains the near-edge structure analysis of vanadium. The article presents a discussion on the unique features and applications of EXAFS.
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