Inverse pole figure

A pole figure is simply a stereogram with its axes defined by an external frame of reference with particular hkl poles plotted onto it from all inverse pole figure the crystallites in the polycrystal.

A pole figure is a graphical representation of the orientation of objects in space. For example, pole figures in the form of stereographic projections are used to represent the orientation distribution of crystallographic lattice planes in crystallography and texture analysis in materials science. Consider an object with a basis attached to it. The orientation of the object in space can be determined by three rotations to transform the reference basis of space to the basis attached to the object; these are the Euler angles. If we consider a plane of the object, the orientation of the plane can be given by its normal line.

Inverse pole figure

This sections explains how to colorize orientation maps. The mathematics behind the default MTEX color key is explained in detail in the paper Orientations - perfectly colored. In order to illustrate the orientations of the olivine crystals we first define the habitus of a olivine crystal. Next we represent the orientation of each grain by an appropriately rotated crystal. This is done by the following commands. The idea of inverse pole figure color coding of orientation maps is to visualize the orientation of a grain by the color of the crystal face pointing towards you. In the case Olivine habitus this would lead to six different colors. We can overcome this restriction by replacing the colored crystal shape by a colored ball. Next we proceed as with the crystal habitus and place a colored ball at each posiotion of the big grains and rotate it according to the meanorientation of the grain. Finally, we take the color in the center of the ball as the color representing the orientation of the grain.

Download as PDF Printable version. Next we represent the inverse pole figure of each grain by an appropriately rotated crystal. Let plot a colored dot for each grain orientation in the inverse pole figure that scales according to the grain area.

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A pole figure is simply a stereogram with its axes defined by an external frame of reference with particular hkl poles plotted onto it from all of the crystallites in the polycrystal. Typically, the external frame is defined by the normal direction, the rolling direction, and the transverse direction in a sheet ND, RD and TD respectively. Occasionally, CD meaning cross direction is used instead of TD. Drag an atom in the green sphere to reorientate the unit cell of the grain under consideration. This will alter the projections of the [], [] and [] directions on the stereogram inside the rectangle. Press 'Add grain' to add the [], [] and [] directions of another grain, up to a maximum of two additional grains. Try altering their orientations so that all three are similar and then different, and notice how the positions of the poles change.

Inverse pole figure

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CS ; annotate h. The interpetation of the colors becomes more simple if we plot the colored ball in stereographic projection and mark the crystallographic axes. We draw a line joining the South pole with the pole of interest P. Article Talk. In this case, contours tend to be used instead. This tranformation from a list of orientations into a list colors given as RGB values is the central purpose of the color key ipfKey we have defined above and is done by the command ipfKey. To draw a pole figure , one chooses a particular crystal direction e. Next we represent the orientation of each grain by an appropriately rotated crystal. Let us first import some sample EBSD data. If we draw a sphere with the center on the plane, then. The structure of a crystal is often represented by the pole figure of its crystallographic planes. The upper sphere is projected on a plane using the stereographic projection. Previous Next Representing Texture Pole figures A pole figure is simply a stereogram with its axes defined by an external frame of reference with particular hkl poles plotted onto it from all of the crystallites in the polycrystal.

A pole figure is simply a stereogram with its axes defined by an external frame of reference with particular hkl poles plotted onto it from all of the crystallites in the polycrystal. Typically, the external frame is defined by the normal direction, the rolling direction, and the transverse direction in a sheet ND, RD and TD respectively. Occasionally, CD meaning cross direction is used instead of TD.

Category : Materials science. The orientation of the object is fully determined by the use of poles of two planes that are not parallel. The interpetation of the colors becomes more simple if we plot the colored ball in stereographic projection and mark the crystallographic axes. This tranformation from a list of orientations into a list colors given as RGB values is the central purpose of the color key ipfKey we have defined above and is done by the command ipfKey. Finally, we take the color in the center of the ball as the color representing the orientation of the grain. If the parameters of the optics are known especially the distance between the crystal and the photographic film , it is possible to build the stereographic diagram from the diffraction diagram, i. Let plot a colored dot for each grain orientation in the inverse pole figure that scales according to the grain area. X-ray diffraction with the Laue method , or electron diffraction in a transmission electron microscope. Let us first import some sample EBSD data. If we draw a sphere with the center on the plane, then. We oberseve that the key is twice as large and hence allows for a better distinction between different orientations. The upper sphere is projected on a plane using the stereographic projection.