scholarly journals Minimal Pole Figure Ranges for Quantitative Texture Analysis

1992 ◽  
Vol 19 (1-2) ◽  
pp. 45-54 ◽  
Author(s):  
K. Helming
Keyword(s):  
Texture Analysis ◽  
Pole Figure ◽  
Practical Interest ◽  
Texture Measurement ◽  
Pole Figures

The use of only a small number of incomplete pole figures for texture determinations is of practical interest for reducing the effort of texture measurement. The determination of minimal pole figure ranges (MPR) is explained and the use of MPR is demonstrated on an example.

scholarly journals Neutron Texture Analysis of Melt-Textured YBCO Bulk Samples

1999 ◽  
Vol 33 (1-4) ◽  
pp. 75-92
Author(s):  
Lothar Schmidt ◽  
Martin Ullrich ◽  
Werner F. Kuhs
Keyword(s):  
Quantitative Analysis ◽  
Texture Analysis ◽  
Pole Figure ◽  
Error Estimation ◽  
Superconducting Phase ◽  
Ybco Bulk ◽  
Pole Figures ◽  
Counting Statistics

Neutron texture measurements on YBCO bulk samples show a very sharp texture of the superconducting phase YBa2Cu3O7-x with half-widths of less than 5°. Even with a rather coarse measurement grid of only 722 points per complete pole figure, satisfactory results for the recalculated (002) pole figures could be obtained. However, for a reliable calculation of a complete ODF, finer grids will have to be used. Due to the importance of a good alignment of the c-axes in the material, a quantitative analysis of the (002) pole figures, including an error estimation due to measurement grid and counting statistics, was made. An outline for the determination of a reliable background estimate is given.

scholarly journals Volume Texture of a Deformed Quartzite Observed With U-Stage Microscopy and Neutron Diffractometry

1999 ◽  
Vol 31 (4) ◽  
pp. 239-248 ◽  
Author(s):  
H. Ghildiyal ◽  
E. Jansen ◽  
A. Kirfel
Keyword(s):  
Neutron Diffraction ◽  
Pole Figure ◽  
North West ◽  
Pole Figures ◽  
Slip Planes ◽  
Subsequent Calculation ◽  
Kaoko Belt ◽  
Universal Stage ◽  
Active Slip

The volume texture of a naturally deformed quartzite from the Kaoko belt, North-West Namibia, has been analysed by both universal stage microscopy and neutron diffraction. Universal stage microscopy is restricted to the determination of the base pinacoid preferred orientation in quartzite. For a more complete description of the texture, the orientations of additional crystal planes, such as first and second order prisms as well as positive and negative rhombs, must be known. Neutron methods allow the evaluation of pole figures of all Bragg reflecting planes, of which those of the first order prisms being considered to be the most active slip planes, are of particular interest. Drawbacks of neutron diffraction, i.e. the faking of an eventually absent inversion centre and lack of resolution, can be overcome by pole figure inversion and subsequent calculation of desired pole figures. Both, universal stage microscopy and neutron diffraction yield well comparable results, of course only with respect to the pole figure of the c-axis.

scholarly journals An Analytical Method for the Quantitative Determination of the Volume Fractions in Fiber Textures

1979 ◽  
Vol 3 (2) ◽  
pp. 73-83 ◽  
Author(s):  
Ivan Tomov ◽  
H. J. Bunge
Keyword(s):  
Quantitative Determination ◽  
Pole Figure ◽  
Angular Range ◽  
Asymmetric Unit ◽  
Normalization Factor ◽  
Measured Intensity ◽  
Volume Fractions ◽  
Pole Figures ◽  
Axis Of Symmetry

In order to evaluate pole-figure measurements quantitatively, one needs the normalization factor which reduces measured intensity values to multiples of the random density. This factor may be determined experimentally by measuring the intensities of a random sample or it may be calculated by integrating over the whole pole-figure or its asymmetric unit. If pole-figure values are not available in the whole angular range 0≤φ≤90° (incomplete pole-figures), then the calculation is in general much more difficult and it usually presumes the knowledge of several pole-figures.In the case of fiber textures (axial symmetry), consisting of only a few strongly preferred orientations with the crystal directions 〈uvw〉i parallel to the axis of symmetry, the normalization factor and hence the volume fractions of the components i may be calculated in a rather simple way requiring only one, possibly incomplete, pole figure.

Texture Analysis with Area Detectors

2005 ◽  
Vol 105 ◽  
pp. 71-76 ◽  
Author(s):  
Kurt Helming ◽  
Uwe Preckwinkel
Keyword(s):  
Texture Analysis ◽  
Pole Figure ◽  
Data Sets ◽  
Angle Of Incidence ◽  
Surface Layers ◽  
Area Detector ◽  
Texture Information ◽  
Pole Figures ◽  
Information Depth

Starting from simple geometric considerations concerning directions and orientations, intelligent strategies for pole figure measurements were developed for the area detector. The amount and quality of texture information contained in measured or available data sets can be directly controlled. The texture approximation is done by the component method. The method does not have any restrictions concerning the grids of sample directions in the pole figures. An almost constant information depth can be obtained at a low angle of incidence of the primary beam for the study of thin surface layers.

A Method for Obtaining a Quantitative Pole Figure of Stretched Rubber

1957 ◽  
Vol 1 ◽  
pp. 131-142
Author(s):  
Otto Renius
Keyword(s):  
Pole Figure ◽  
Alpha Angle ◽  
Geiger Counter ◽  
Rubber Latex ◽  
X Ray ◽  
Outer Portion ◽  
Transmission Technique ◽  
Pole Figures ◽  
Orientation Pattern

AbstractWork at the Detroit Arsenal has shown that techniques similar to those employed for the determination of pole figures of metals can be utilized for studying organic materials such a a stretched rubber latex. The rubber, when stretched, forms a preferred orientation pattern which is proportional in intensity to the degree of elongation, and which can be used to plot a pole figure.A Geiger-counter spectrometer was used to study samples of rubber stretched 600 to 1000 per cent. Using a transmission technique, the specimens were tilted to the impinging X-ray beam in five degree increments while rotating through 360 degrees to allow the measurement of the diffracted beam from the selected atomic planes at various angles within the specimen. The intensities of the diffracted beam at these angles were plotted on a stereographic net to form the pole figures of the (002) and (012) planes of the stretched rubber. The geometry of the sample arrangements permitted the outer portion of the pole figure to be plotted from alpha angle 0 degrees to alpha angle 45 degrees.

New pole figure calculation software:2DiffCalc

2009 ◽  
Vol 42 (4) ◽  
pp. 730-733 ◽  
Author(s):  
Ulf Garbe
Keyword(s):  
Pole Figure ◽  
Peak Position ◽  
Fast Method ◽  
Texture Measurement ◽  
Area Detector ◽  
Pole Figures ◽  
Diffraction Patterns ◽  
Research Facilities ◽  
Standard Software ◽  
Large Research

At neutron and synchrotron radiation research facilities, texture measurement with area detectors leads to a large amount of data. During the measurement time, a preliminary analysis of the acquired diffraction patterns is essential. A first view of the resulting pole figures affords the opportunity to evaluate the measurement and to change the instrument parameters accordingly. At a large research facility, the instrument is built with unique adaptations to different scientific cases. At this stage, there is no commercial standard software available to analyse the measured raw data. For these purposes, new software,2DiffCalc, was developed to provide a fast method for pole figure calculation. This software is able to determine the pole figure intensities automatically from the measured area-detector images.2DiffCalccalculates the integral intensities, peak position and width in combination with the pole figure angles.

Distribution of Dislocation Density in Tubes from Zr-Based Alloys by X-Ray Data

2005 ◽  
Vol 105 ◽  
pp. 89-94 ◽  
Author(s):  
Margarita Isaenkova ◽  
Yuriy Perlovich
Keyword(s):  
Dislocation Density ◽  
Domain Size ◽  
Ray Method ◽  
Coherent Domain Size ◽  
Texture Measurement ◽  
Burgers Vector ◽  
X Ray ◽  
Pole Figures ◽  
Coherent Domain

As applied to tubes from Zr-based alloys, the X-ray method was developed to determine the dislocation density distribution in a-Zr depending on the orientation of Burgers vector. The method consists in registration of X-ray line profiles by each successive position of the sample in the course of diffractometric texture measurement using reflections of two orders, the following determination of coherent domain size and lattice distortion by means of the Warren-Averbach method for each orientation of reflecting planes, separate calculation of the density of c- and a-dislocations with all possible orientations of Burgers vector and presentation of results in generalized pole figures. Obtained data testify that the dislocation density varies within very wide intervals of several orders of magnitude depending on the grain orientation both in as-rolled and annealed tubes. Features of the constructed dislocation distributions are closely related to the crystallographic texture of studied tubes.

scholarly journals Normalizing Incomplete Experimental Pole Figures by Means of the Vector Method

1984 ◽  
Vol 6 (2) ◽  
pp. 97-103 ◽  
Author(s):  
H. Schaeben ◽  
A. Vadon
Keyword(s):  
Texture Analysis ◽  
Pole Figure ◽  
Axial Symmetry ◽  
Full Range ◽  
Inverse Pole Figure ◽  
Vector Method ◽  
Pole Figures ◽  
The Matrix

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.

Use of X-Ray Curved Sensitive Position Detector for Simultaneous Measurement of Several Pole Figures

1986 ◽  
Vol 30 ◽  
pp. 421-427
Author(s):  
J.J. Heizmann ◽  
C. Laruelle ◽  
A. Vadon
Keyword(s):  
Pole Figure ◽  
Simultaneous Measurement ◽  
Texture Measurement ◽  
X Ray ◽  
Pole Figures ◽  
Position Sensitive ◽  
Lattice Planes ◽  
The Moment ◽  
Time Required ◽  
The Cost

At the moment, the time required to obtain a pole figure is about three hours, and generally several pole figures are needed to make a texture analysis. Therefore the time and the cost of texture measurement are widely increased.Now, new position sensitive X-Ray detectors are appearing, which allow to record at one and the same time the whole 2Θ spectrum, i.e. the beams diffracted by several (hi k1l1) lattice planes. So with this kind of detector, it will be possible to get simultaneously several pole figures.

Improvements in the Quantitative Evaluation of Three-Dimensional Texture. II. The Pole-Figure-Multiplying Method

1995 ◽  
Vol 28 (5) ◽  
pp. 532-533 ◽  
Author(s):  
L.-G. Yu ◽  
H. Guo ◽  
B. C. Hendrix ◽  
K.-W. Xu ◽  
J.-W. He
Keyword(s):  
Distribution Function ◽  
Texture Analysis ◽  
Pole Figure ◽  
Quantitative Evaluation ◽  
Orientation Distribution Function ◽  
Three Dimensional ◽  
Orientation Distribution ◽  
Simple Method ◽  
Pole Figures

A new simple method is proposed for determining the orientation distribution function (ODF) for three-dimensional texture analysis in a polycrystal based on the reality that the accuracy of an ODF is dependent on both the accuracy of each measured pole figure and the number of pole figures.

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