![]() This illustrates also more clearly the effect of the antipodal symmetry plotIPDF ( odf, 'complete', 'antipodal', 'upper' )įinally, lets set back the default colormap. In order to plot the complete inverse pole figure you have to use the option complete. Imposing antipodal symmetry to the inverse pole figures halfes the fundamental region plotIPDF ( odf, 'antipodal' )īy default MTEX always plots only the fundamental region with respect to the crystal symmetry. Kernel: de la Vallee Poussin, halfwidth 10°Īnd lets switch to the LaboTex colormap setMTEXpref ( 'defaultColorMap', LaboTeXColorMap ) % Plotting inverse pole figures is analogously to plotting pole figures % with the only difference that you have to use the command % and you to specify specimen directions and % not crystal directions. Pole figures and OD types are related to the degrees of freedom for the crystallites to orient in the sample. The link between reciprocal-space maps and crystallite orientations is explained. Alternatively, you can show an interactive Fourier Transform view as you work. Magnetic QTA is described, using magnetic pole figures and magnetic ODs, characterizing the macroscopic magnetic polarization of the sample. STEREOPOLE is a software package for the analysis of X-ray diffraction pole figures. Fourier Transforms You can instantly generate a Fourier Transform from any displayed image or diffraction pattern. A pole figure is a contour map, in stereographic projection, of the concentration of poles of selected crystallographic planes as a function of spatial orientation. ![]() + 0.5 * fibreODF ( Miller ( 0, 0, 1, cs ), vector3d ( 1, 0, 0 ), 'halfwidth', 10 * degree ) %odf = 0.2*unimodalODF(mod2) odf = SO3FunComposition (321 → xyz) SingleCrystal lets you measure poles and their angles interactively. byEuler ( 50 * degree, 30 * degree, - 30 * degree, 'ZYZ', cs ) odf = 0.2 * unimodalODF ( mod1 ). byEuler ( 90 * degree, 40 * degree, 110 * degree, 'ZYZ', cs ) mod2 = orientation. cs = crystalSymmetry ( '32' ) mod1 = orientation. In order to illustrate the concept of inverse pole figures at an example lets us first define a model ODF to be plotted later on. The techniques are complicated and can be simplified using computerized data acquisition. The data used to produce pole figures are obtained by X-ray diffraction techniques. ![]() Texture evolution in rolled magnesium during uniaxial tensionįor an orientation distribution function (ODF) \(f \colon \mathrm(\vec h)\) evaluated at a crystal direction \(\vec h\) can be interpreted as the volume percentage of crystals with the crystal lattice planes \(\vec h\) beeing normal to the specimen direction \(\vec r\). A pole figure is a contour map, in stereographic projection, of the concentration of poles of selected crystallographic planes as a function of spatial orientation.Plot seismic wave velocities and polarization directions for aggregates.
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