scholarly journals An Improvement of Vector Method by Allocation of Intensities Based on the Crystallographic Symmetry

1989 ◽  
Vol 10 (2) ◽  
pp. 101-116 ◽  
Author(s):  
R. Shimizu ◽  
K. Ohta ◽  
J. Harase

An investigation has been carried out utilizing model and experimental pole figures made by X-ray technique in order to examine the use of the vector method as a means of the texture analysis. The main findings are as follows:• From crystal symmetry considerations positions and magnitudes of peaks along the ζ angle can be predicted. There are discrepancies in these intensity peaks and in some cases the peaks are missing altogether.• This problem was solved by the allocation of intensities such that equal intensities are obtained at the crystallographic symmetry positions.• Even a slightly mismatched combination of the reflection and transmission pole figures caused an increase in residual vector (R) resulting in the failure of the analysis for the minor textural component.

2019 ◽  
Vol 34 (2) ◽  
pp. 97-102
Author(s):  
M. A. Rodriguez ◽  
T. T. Amon ◽  
J. J. M. Griego ◽  
H. Brown-Shaklee ◽  
N. Green

Advancements in computer technology have enabled three-dimensional (3D) reconstruction, data-stitching, and manipulation of 3D data obtained on X-ray imaging systems such as micro-computed tomography (μ-CT). Likewise, intuitive evaluation of these 3D datasets can be enhanced by recent advances in virtual reality (VR) hardware and software. Additionally, the generation, viewing, and manipulation of 3D X-ray diffraction datasets, such as pole figures employed for texture analysis, can also benefit from these advanced visualization techniques. We present newly-developed protocols for porting 3D data (as TIFF-stacks) into a Unity gaming software platform so that data may be toured, manipulated, and evaluated within a more-intuitive VR environment through the use of game-like controls and 3D headsets. We demonstrate this capability by rendering μ-CT data of a polymer dogbone test bar at various stages of in situ mechanical strain. An additional experiment is presented showing 3D XRD data collected on an aluminum test block with vias. These 3D XRD data for texture analysis (χ, ϕ, 2θ dimensions) enables the viewer to visually inspect 3D pole figures and detect the presence or absence of in-plane residual macrostrain. These two examples serve to illustrate the benefits of this new methodology for multidimensional analysis.


1989 ◽  
Vol 10 (2) ◽  
pp. 117-134 ◽  
Author(s):  
R. Shimizu ◽  
J. Harase ◽  
K. Ohta

In an attempt to investigate the accuracy of the vector method for crystal texture analysis, a comparison has been made between the inversion result of the pole figure made by X-ray studies using the VM and the inversion result of the pole figure made by ECP. A comparison has been made between the inversion by the pole figure generated by direct measurement of orientations by ECP and the actual orientation distribution (measured by ECP) displayed in the same mode. The materials studied were recrystallized Fe–3% Si and Fe–50% Ni. The main findings were:• In the mean intensities of each individual Box, the inversion results of pole figures made from orientations determined by ECP were in good agreement with the inversion from (100) pole figures made by X-ray or actual orientation distribution (made by ECP) displayed in the same mode as the vector method.• For Fe–3% Si, quite a good agreement was obtained between the results inverted from X-ray pole figure and the direct measurement by ECP for the intensity distribution of minor texture component along ζ angle. It was concluded from these investigations that the inversion of the pole figure by the vector method is accurate enough for most practical purposes.


1987 ◽  
Vol 7 (2) ◽  
pp. 115-129 ◽  
Author(s):  
F. Wagner ◽  
M. Humbert

From a classification of crystal symmetries involved in texture analysis we define a set of (low) crystal symmetries that can be similarly managed in the same computer program, using the harmonic method. A way of calculating the texture from incomplete pole figures is then proposed. Results are reported for two examples with hexagonal and trigonal crystal symmetry, respectively, and advantages and limitations of such texture analyses are discussed.


1984 ◽  
Vol 6 (2) ◽  
pp. 97-103 ◽  
Author(s):  
H. Schaeben ◽  
A. Vadon

The vector method of quantitative texture analysis provides a new solution of the problem of normalizing incomplete experimental pole figures. It basically makes use of the fact that the matrix σ*(hkl) to which the corresponding matrix σ(hkl) reduces in case of: (1) axial symmetry in terms of pole figures; or (2) fiber textures in terms of orientations, is full range. In this case σ*(hkl) actually establishes the correspondence between the axial symmetrical direct pole figure and the corresponding inverse pole figure with respect to the normal ON of the sample.


1996 ◽  
Vol 25 (2-4) ◽  
pp. 109-120 ◽  
Author(s):  
I. V. Gervasyeva ◽  
B. K. Sokolov ◽  
A. K. Sbitnev

The reliability of the harmonic method of the ODF calculation from X-ray pole figures was estimated for cubic symmetry materials. For this purpose simulated textures with a preset scattering value of the components were used. Some examples using the Roe method to the study of the secondary recrystallization process in the Fe-3% Si alloy are given. The capabilities of the etch-pits methods as the simplest discrete method used to determine the orientation density are discussed.


2012 ◽  
Vol 735 ◽  
pp. 49-54
Author(s):  
Yuriy Perlovich ◽  
Margarita Isaenkova ◽  
Olga Krymskaya ◽  
Vladimir Fesenko

The method was developed for quantitative estimation of inputs to plastic deformation of crystallographic and non-crystallographic modes of slip by data of X-ray texture measurements. The texture analysis allows to split material into fractions, deformed by predominant operation of crystallographic and non-crystallographic mechanisms, differing in final orientations of grains. Whereas texture maxima in pole figures correspond to grains, deformed by means of crystallographic slip and having predictable final orientations, texture minima are formed by grains, whose deformation does not submit to crystallographic regularities and therefore their orientations are deflected from stable positions or even prove to be arbitrary. These effects are demonstrated as applied to semi-products from Zr-based alloys, subjected to the deformation treatment at temperatures of the (α+β)-region of Zr-Nb phase diagram.


Author(s):  
Y. P. Lin ◽  
J. S. Xue ◽  
J. E. Greedan

A new family of high temperature superconductors based on Pb2Sr2YCu3O9−δ has recently been reported. One method of improving Tc has been to replace Y partially with Ca. Although the basic structure of this type of superconductors is known, the detailed structure is still unclear, and various space groups has been proposed. In our work, crystals of Pb2Sr2YCu3O9−δ with dimensions up to 1 × 1 × 0.25.mm and with Tc of 84 K have been grown and their superconducting properties described. The defects and crystal symmetry have been investigated using electron microscopy performed on crushed crystals supported on a holey carbon film.Electron diffraction confirmed x-ray diffraction results which showed that the crystals are primitive orthorhombic with a=0.5383, b=0.5423 and c=1.5765 nm. Convergent Beam Electron Diffraction (CBED) patterns for the and axes are shown in Figs. 1 and 2 respectively.


2007 ◽  
Vol 2007 (suppl_26) ◽  
pp. 327-332
Author(s):  
Yu. Perlovich ◽  
M. Isaenkova ◽  
V. Fesenko
Keyword(s):  
X Ray ◽  

1985 ◽  
Vol 50 (10) ◽  
pp. 2139-2145
Author(s):  
Alexander Muck ◽  
Eva Šantavá ◽  
Bohumil Hájek

The infrared spectra and powder X-ray diffraction patterns of polycrystalline YPO4-YCrO4 samples are studied from the point of view of their crystal symmetry. Mixed crystals of the D4h19 symmetry are formed over the region of 0-30 mol.% YPO4 in YCrO4. The Td → D2d → D2 or C2v(GS eff) correlation is appropriate for both PO43- and CrO43- anions.


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