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small-angle X-ray diffraction
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Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001763
EISBN: 978-1-62708-178-8
..., desmearing parameters, and the types of scattering curves are illustrated. ceramics ferrous metals metallic glass nonferrous metals polymers small-angle neutron scattering small-angle X-ray diffraction Overview Introduction Small-angle x-ray scattering (SAXS) and small-angle neutron...
Abstract
This article presents the experimental and theoretical aspects of small-angle scattering, and discusses specific applications used in the characterization of metals, glasses, polymers, and ceramics. The basic methods of collimating x-rays, the cause of smearing from a line source, desmearing parameters, and the types of scattering curves are illustrated.
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
... some information may be obtained on amorphous solids and liquids using the pair distribution function method or complementary techniques (see the articles “Small-Angle X-Ray and Neutron Scattering” and “Micro X-Ray Diffraction” in this Division). Similar or complementary information often can...
Abstract
This article describes the methods of X-ray diffraction analysis, the types of information that can be obtained, and its interpretation. The discussion covers the basic theories of X-rays and various types of diffraction experiments, namely single-crystal methods for polychromatic and monochromatic beams, powder diffraction methods, and the Rietveld method.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001756
EISBN: 978-1-62708-178-8
...-ray diffraction techniques are rapid and nondestructive; some instruments are portable and can be transported to the sample. The sample may be as small as an airborne dust particle or as large as an airplane wing. This article will describe the methods of x-ray diffraction analysis, the types...
Abstract
X-ray diffraction techniques are useful for characterizing crystalline materials, such as metals, intermetallics, ceramics, minerals, polymers, plastics, and other inorganic or organic compounds. This article discusses the theory of x-rays and how they are generated and detected. It also describes the crystalline nature of certain materials and how the geometry of a unit cell, and hence crystal lattice, affects the direction and intensity of diffracted x-ray beams. The article concludes with several application examples involving measurements on single and polycrystalline materials.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001757
EISBN: 978-1-62708-178-8
... one or more independently diffracting regions that coherently diffract the x-ray beam. These small crystalline regions are termed crystallites. Consolidated samples, such as ceramic bodies or as-received metal samples, will likely have crystallites small enough to be useful for powder diffraction...
Abstract
X-ray powder diffraction (XRPD) techniques are used to characterize samples in the form of loose powders or aggregates of finely divided material that readily diffract x-rays in specified patterns. This article provides an introduction to XRPD, beginning with a review of sensing devices, including pinhole/Laue cameras, Debye-Scherrer/Gandolfi cameras, Guinier cameras, glancing angle cameras, conventional diffractometers, thin film diffractometers, Guinier diffractometers, and micro diffractometers. The article then describes several quantitative measurement methods, such as lattice parameter, absorption diffraction, spiking, and direct comparison, explaining where each may be used. It also identifies potential sources of error in XRPD measurements.
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006680
EISBN: 978-1-62708-213-6
... that coherently diffract the x-ray beam. These small crystalline regions are termed coherent scattering domains or crystallites. Consolidated samples, such as ceramic bodies or as-received metal samples, will likely have crystallites small enough to be useful for powder diffraction analysis, although they may...
Abstract
X-ray powder diffraction (XRPD) techniques are used to characterize samples in the form of loose powders, aggregates of finely divided material or polycrystalline specimens. This article provides a detailed account of XRPD. It begins with a discussion on XRPD instrumentation and the techniques used to characterize samples. The article then describes the principles, advantages, and disadvantages of various types of powder diffractometers. A section on the Rietveld method of diffraction analysis is then presented. The article discusses various methods and procedures for qualifying and quantifying phase mixtures in powder samples. It provides information on typical sensitivity and experimental limits on precision of XRPD analysis and other systematic sources of errors that affect accuracy. Some of the factors pertinent to the estimation of crystallite size and defects are also presented. The article ends with a few application examples of XRPD.
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
... 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. data reduction radial distribution function X-ray diffraction Overview...
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 Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003251
EISBN: 978-1-62708-199-3
... will also occur if beams A and B are 720° or any multiple of 360° out of phase; hence, the general condition for constructive interference is Bragg's law, as given above. Fig. 2 Bragg's law, which defines the conditions for constructive interference and the angles at which diffracted beams of x-rays...
Abstract
X-ray diffraction (XRD) is the most extensively used method for identifying and characterizing various aspects of metals related to the arrangements and spacings of their atoms for bulk structural analysis. XRD techniques are also applicable to ceramics, geologic materials, and most inorganic chemical compounds. This article describes the operating principles and types of XRD analyses, along with information about the threshold sensitivity and precision, limitations, sample requirements, and capabilities of related techniques. The necessary instrumentation for XRD analyses include the 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 alloying and temperature effects; measurement of residual stresses; characterization of crystallite size and perfection; characterization of preferred orientations; and determination of single crystal orientations.
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
... the diffraction of a monochromatic beam of x-rays at a high diffraction angle, 2θ, from the surface of a stressed sample for two orientations of the sample relative to the x-ray beam. The angle ψ, defining the orientation of the sample surface, is the angle between the normal of the surface and the incident...
Abstract
This article provides a detailed account of x-ray diffraction (XRD) residual-stress techniques. It begins by describing the principles of XRD stress measurement, followed by a discussion on the most common methods of XRD residual-stress measurement. Some of the procedures required for XRD residual-stress measurement are then presented. The article provides information on measurement of subsurface stress gradients and stress relaxation caused by layer removal. The article concludes with a section on examples of applications of XRD residual-stress measurement that are typical of industrial metallurgical, process development, and failure analysis investigations undertaken at Lambda Research.
Book: Thermal Spray Technology
Series: ASM Handbook
Volume: 5A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v05a.a0005731
EISBN: 978-1-62708-171-9
... be determined. These interplanar spacings are unique for each crystalline material. Figure 3 shows an x-ray diffraction 2θ scan for a WC/Co coating, with most of the peaks identified for phase and type of crystallographic plane. The highest peaks are threefold and appear at 2θ angles of approximately 31...
Abstract
The raw materials used in thermal spray processes are a critical parameter in the finished coating because the variations in their size, morphology, chemistry, and phase composition can significantly impact coating properties. Therefore, it is important to test and characterize the raw materials. This article discusses various characterization methods for powders. Topics discussed include: methods for determining particle size and/or size distribution; powder and coating stoichiometry; particle chemistry; and phase analysis by x-ray diffraction. This article discusses the characterization of thermal spray powders which involves the determination of particle size and/or size distribution and phase analysis by x-ray diffraction. It provides information on preferential volatilization and rapid solidification that influence compositional differences. Wet chemical methods, spectographic analysis, and atomic absorption spectrometry are also discussed.
Book Chapter
Series: ASM Handbook
Volume: 10
Publisher: ASM International
Published: 15 December 2019
DOI: 10.31399/asm.hb.v10.a0006654
EISBN: 978-1-62708-213-6
... distance of a set of crystal planes, and θ is the angle between the incident or diffracted x-ray beam and the corresponding crystal planes ( Fig. 5 ). Crystal planes are a set of abstract parallel planes that are equally spaced going through the whole crystal. Atoms can be related to the planes, either...
Abstract
This article discusses the techniques and applications of synchrotron x-ray diffraction, providing information on x-ray generation, monochromation, and crystallography. X-ray diffraction techniques covered include single-crystal and powder diffraction. Some of the factors involved in the construction and development of macromolecular x-ray crystallography are also described.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001760
EISBN: 978-1-62708-178-8
... to small localized strains, reflection from the first “perfect” crystal produces a monochromatic and highly parallel beam of x-rays used to probe the test crystal. Monitoring of the x-ray intensity diffracted by the test crystal as it is slowly rotated, or rocked, through the Bragg angle for the reflecting...
Abstract
X-ray topography is a technique that comprises topography and x-ray diffraction. This article provides a description of the kinematical theory and the dynamical theory of diffraction. It provides useful information on the configurations of reflection and transmission topography. The article explains various topographic methods, namely, divergent beam method, polycrystal rocking curve analysis, line broadening analysis, microbeam method, and polycrystal scattering topography, as well as their instrumentation. It also describes the applications of x-ray topography.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001765
EISBN: 978-1-62708-178-8
... studies at synchrotrons have demonstrated some potential for x-ray studies of magnetic ordering, almost all known magnetic structures have been determined by neutron diffraction. Third, the form factor is essentially constant with diffraction angle, unlike those for x-ray or electron diffraction...
Abstract
Neutrons are a principal tool for the study of lattice vibrational spectra in materials. This article provides a detailed account of fission and spallation methods of neutron production that are capable of producing sufficient intensity to be useful in neutron scattering research. It describes the instrumentation required for, and advancements made in, neutron powder diffraction. The article further explains the texture and residual stress (macrostresses and microstresses) problems that are analyzed using the neutron powder diffraction method. It also outlines the single-crystal neutron diffraction technique, and provides examples of the applications of neutron diffraction.
Image
Published: 01 January 1986
Fig. 5 Diffraction data for an activated carbon (Amoco PX-21). I t is the total diffracted intensity, SAXS is the small-angle x-ray scattering obtained from the Fourier transform of the average density envelope, and I t — SAXS represents the total intensity with the small-angle
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Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003252
EISBN: 978-1-62708-199-3
... in the range of 100,000 to 400,000 V have much shorter wavelengths than x-rays, which makes typical diffraction angles quite small. As a result, nearly all grains diffract to some extent. Some grains are oriented in ways that particular planes satisfy Bragg's law precisely. These grains diffract strongly...
Abstract
Microstructural analysis is the combined characterization of the morphology, elemental composition, and crystallography of microstructural features through the use of a microscope. This article reviews three types of the most commonly used electron microscopies in metallurgical studies, namely scanning electron microscopy, electron probe microanalysis, and transmission electron microscopy. It briefly describes the operating principles, instrumentation which includes energy dispersive X-ray detectors, spatial resolution, typical use of the techniques, elemental analysis detection threshold and precision, limitations, sample requirements, and the capabilities of related techniques.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001761
EISBN: 978-1-62708-178-8
... model, and describes the most common methods of x-ray diffraction residual stress measurement, namely, single-angle and two angle techniques. It elaborates the major steps involved in x-ray diffraction residual stress measurement, explaining the possible sources of error in stress measurement...
Abstract
In x-ray diffraction residual stress measurement, the strain in the crystal lattice is measured, and the residual stress producing the strain is calculated, assuming a linear elastic distortion of the crystal lattice. This article provides a detailed account of the plane stress elastic model, and describes the most common methods of x-ray diffraction residual stress measurement, namely, single-angle and two angle techniques. It elaborates the major steps involved in x-ray diffraction residual stress measurement, explaining the possible sources of error in stress measurement. The article also outlines the applications of x-ray diffraction residual stress measurement with examples.
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
... of wide spectral range has allowed the extensive development of synchrotron x-ray topography techniques. General Principles In x-ray diffraction topography, a collimated area-filling ribbon of x-rays is incident on the single-crystal sample at a set Bragg angle, and the corresponding area-filling...
Abstract
X-ray topography is the general term for a family of x-ray diffraction imaging techniques capable of providing information on the nature and distribution of imperfections. This article provides a detailed account of x-ray topography techniques, providing information on the historical background and development trends in x-ray diffraction topography. The discussion covers the general principles, components of systems, and applications of x-ray topography techniques, namely conventional X-ray topographic techniques and synchrotron x-ray topographic techniques.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0005693
EISBN: 978-1-62708-178-8
... SANS small-angle neutron scattering SAM scanning Auger microscopy SAXS small-angle x-ray scattering SEM scanning electron microscopy SERS surface-enhanced Raman spectroscopy SFC supercritical fluid chromatography SIMS secondary ion mass spectroscopy...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001766
EISBN: 978-1-62708-178-8
...- to 200-keV electrons have a wavelength of the order of 10 −3 nm. Consequently, the diffracting angles for x-rays are typically tens of degrees, but the diffracting angles for electrons are typically tenths of a degree. For small angles, θ = sin θ, and considering only first-order reflections ( n = 1...
Abstract
Analytical transmission electron microscopy (ATEM) is unique among materials characterization techniques as it enables essentially the simultaneous examination of microstructural features through high-resolution imaging and the acquisition of chemical and crystallographic information from small regions of the specimen. This article illustrates the effectiveness of the technique in solving materials problems. The first section of the article provides information on analytical electron microscope (AEM) and its basic operational characteristics as well as on electron optics, electron beam/specimen interactions and the generation of a signal, signal detectors, electron diffraction, imaging, x-ray microanalysis, electron energy loss spectroscopy, and sample preparation. The second section consists of 12 examples, each illustrating a specific type of materials problem that can be solved, at least in part, with AEM.
Image
Published: 15 December 2019
: liquid chromatography/mass spectrometry; LEISS: low-energy ion-scattering spectroscopy; MFS: molecular fluorescence spectroscopy; NAA: neutron activation analysis; NMR: nuclear magnetic resonance; OM: optical metallography; RS: Raman spectroscopy; SAXS: small-angle x-ray scattering; SEM: scanning
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Image
in Introduction to Characterization of Organic Solids and Organic Liquids
> Materials Characterization
Published: 15 December 2019
: low-energy ion-scattering spectroscopy; MFS: molecular fluorescence spectroscopy; NAA: neutron activation analysis; NMR: nuclear magnetic resonance; OM: optical metallography; RS: Raman spectroscopy; SAXS: small-angle x-ray scattering; SEM: scanning electron microscopy; SIMS: secondary ion mass
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