The four peaks seen at the rim are Cu (200), (200), (020), and (020), respectively, due to the cubic structure of the copper lattices. When dealing with cubic structures, every direction can be transformed to an equivalent one, whose stereographic projection lies within the stereographic standard triangle. The strong (002) peak at the center of the pole figure indicates that the foil is preferably (001)-oriented along the surface normal. Anyway, I hope this will maybe help someone who is just as much at loss with (inverse) pole figures as I used to be a couple of weeks ago. The bottom two diagrams (at right)show the (002) pole figure of a 50 micron thick Cu foil. The planimetric procedure in ASTM E112-2013 25 was employed to determine the average grain density ( A G ) of the specimens.
The figure shows the pole figure in both in stereographic projection (contour map) and 3D display. Raw data was analyzed using HKL CHANNEL5 software to produce inverse pole figure (IPF) and local misorientation map (KAM). The central dark red portion indicates texture along the direction. The top two diagrams (at right) show an in-plane pole figure of the reflection for a rolled steel sheet sample. The in-plane pole figure also allows a greater range of texture to be recorded, as it now contains the in-plane (sample surface) texture of the sample. It provides simple tools for pole figure interpretation and corrections. In an in-plane pole figure, the incident beam, sample rotation, and detector angle are all moved, eliminating the necessity to tilt the sample. Contact: .ac.uk WEB SITE Single Crystal Software for PC. Traditional pole figure measurements are made by recording the intensity of a given Bragg reflection as a function of rotation and tilt of the sample. The typical measurement to determine texture is called a pole figure. Since texture can affect a material's properties by introducing structural anisotropy, it is desirable to measure a material's texture. For example, when steel sheets are rolled in the manufacturing process, a sheet texture is often produced. In many cases, crystallographic texture (preferred orientation) can be introduced into a material during the fabrication process. Distribution of crystallographic orientations orientation (by contrast to the single crystal case) Why does an experimental pole figure not correspond to. Furthermore, we also apply ghost correction and compare the approximation error to the previous reconstructions. Define and explain the inverse pole figure. calcError ( odf, model_odf, 'resolution', 5 * degree ) ans =Ġ.0815 Exploration of the relationship between estimation error and number of pole figuresįor a more systematic analysis of the estimation error, we vary the number of pole figures used for ODF estimation from 1 to 7 and calculate for any number of pole figures the approximation error. Which can be plotted, plot ( odf, 'sections', 6, 'silent', 'sigma' )Īnd compared to the original model ODF. Kernel: de la Vallee Poussin, halfwidth 5°Ĭenter: 29758 orientations, resolution: 5° plot ( pf ) ODF Estimation from Pole Figure Dataįrom these simulated pole figures we can now estimate an ODF, odf = calcODF ( pf ) odf = ODF Here we assume that the mean intensity is 1000. pf = calcPoleFigure ( model_odf, h, r ) pf = PoleFigureĪdd some noise to the data. Now the pole figures can be simulated using the command calcPoleFigure. The grid of specimen directions r = regularS2Grid ( 'resolution', 5 * degree ) Texture evolution in rolled magnesium during uniaxial tension.Plot seismic wave velocities and polarization directions for aggregates.