In order to evaluate pole-figure measurements quantitatively, one
needs the normalization factor which reduces measured intensity
values to multiples of the random density. This factor may be
determined experimentally by measuring the intensities of a random
sample or it may be calculated by integrating over the whole
pole-figure or its asymmetric unit. If pole-figure values are not
available in the whole angular range 0≤φ≤90° (incomplete pole-figures), then the calculation is in
general much more difficult and it usually presumes the knowledge
of several pole-figures.In the case of fiber textures (axial symmetry), consisting of only
a few strongly preferred orientations with the crystal directions
〈uvw〉i parallel to the axis of symmetry, the normalization factor and hence the volume fractions of the components i may be calculated in a rather simple way requiring only one, possibly incomplete, pole figure.
