ABSTRACT

This appendix describes the methodology for indexing a pole gure, measured by x-ray or neutron diffraction techniques, and evaluating the corresponding orientation. Figure V.1a shows the {111} pole gure of a single crystal with an unknown orientation. To determine this orientation in terms of its Miller indices (hkl)[uvw], the four {111} poles of the orientation have to be indexed rst. As described in Section 2.4, in the cubic crystal system there are 48 different possibilities to do so, one of which is applied in Figure V.1b. Remember the crystal orientation (hkl)[uvw] is given by the specimen rolling direction (RD) expressed in crystal coordinates, [uvw], and the specimen normal direction (ND) expressed in crystal coordinates, (hkl). Hence, to determine the crystal orientation, it is necessary to express the specimen axes RD and ND in crystal coordinates. For that purpose, the angles between the four (indexed) {111} poles and the sample axes RD and ND are determined. As described in Appendix IV, this can be done with the help of a Wulff net (Figure IV.3a) or a Schmidt net if an equal-area pole gure is analyzed (Figure IV.3b). The resulting angles are marked in Figure V.1b with dashed lines for the RD and dotted lines for the ND.