be parallel to its counterpart in the HOLZ, analogous to excess and defect lines in Kikuchi patterns. It is the HOLZ lines in the ZOLZ that are used for most HOLZ line measurements. An example of what one expects to see in a transmitted disc containing HOLZ lines is shown in Figure 4.1. The lines in the disc (labelled a in the figure) are the HOLZ lines. The lines outside the discs but seen as continuations of the HOLZ lines (labelled b in the figure) are the Kikuchi lines. The Kikuchi lines extend across the transmitted disc, thus overlapping the HOLZ lines in the disc. The clarity and contrast of the HOLZ line patterns and the accuracy of the HOLZ line positions are dependent on at least five factors. First, there are limitations to the thickness of the diffracting crystal (Jones et al., 1977). This thickness should usually be on the order of 100-200 nm. If the crystal is much thicker, excessive diffuse scattering in the ZOLZ will attenuate the HOLZ lines entirely; if much thinner, no HOLZ lines will be present at all. Second, the energy loss as the beam is transmitted through the sample added to the inherent energy spread of electron sources (i.e., W filament, LaB6, or FEG) can affect the accuracy of the line position. This energy loss will affect the thickness of the HOLZ line, reducing the accuracy to which it can be measured. Foil