Boundary Plots edit page

Here we describe how to visualize grain boundary properties, e.g., misorientation angle, misorientation axes. Therefore lets start by importing some EBSD data and reconstructing the grain structure.

The grain boundary segments of a list of grains are stored within the field

We may use the plot command to visualize the grain boundaries in the map

## Specific boundaries

Accordingly, we can access the grain boundary of a specific grain by

For a multi-phase system, the location of specific phase transistions may be of interest. The following plot highlights all Forsterite to Enstatite phase transitions

Another type of boundaries is boundaries between measurements that belong to the same grain. This happens if a grain has a texture gradient that loops around these two measurements.

## Misorientation angle

The boundary misorientation is the misorientation between the two neighboring pixels of a boundary segment. Depending of the misorientation angle one distinguishes between high angle and low angle grain boundaries. In MTEX we can visualize the boundary misorientation angle by the commands

## The misorientation axes in crystal coordinates

Similarly as the rotational angle we may colorize the grain boundaries also according the misorientation axes. First of all we have to decide wheter we want to visualize the rotational axis in crystal or coordinate system. Second we have to define a color key that translates rotational axes into colors.

As a colorbar replacement we plot the color key and on top of it the misorientation axes at the grain boundaries

## The misorientation axes in specimen coordinates

Analyzing the misorientation axis in specimen coordinates is a bit more involved as it requires to extract the two neighbouring orientations to each boundary segment. To do this we use the ebsdId stored in the boundary segments.

## Full Misorientation Colorization

In order to visuale the full misorientation, i.e., axis and angle, one has to define a corresponding color key. One option is the color key described in the paper by S. Patala, J. K. Mason, and C. A. Schuh, Improved representations of misorientation information for grain boundary, Prog. Mater. Sci., vol. 57, no. 8, pp. 1383-1425, 2012.

Lets visualize the color key as axis angle sections through the misorientation space

Lets illustrate this color coding also at a iron sample.

At the end we plot the colorized misorientation space in axis angle sections. Note that in this plot misorientations mori and inv(mori) are associated.