thickness can also affect the HOLZ line thickness (Jones et al., 1977). Third, tilting the crystal away from normal perpendicular incidence means a different thickness may be encountered across the diameter of the beam with a consequent change in intensity across the pattern. (Recall that the beam is convergent.) This is not usually a problem since only the intensity, not the actual line position, is affected. Fourth, the distortion in the pattern introduced by the objective lens can affect the accuracy of direct measurements in the Higher Order zone (Ecob et al., 1981). Since one almost always uses zone axis patterns to generate HOLZ information, the final tilt necessary to obtain an exact zone axis pattern can be accomplished by tilting the beam rather than tilting the sample. This tilting can be done in two ways. The beam can be tilted electronically using the deflector system of the instrument, or the beam can be tilted by displacing the second condenser aperture. Either of these procedures is easier than tilting the sample using the goniometer controls of the microscope stage. However, a beam entering the objective lens off axis is subject to the inherent spherical abberation effects of the lens. The abberation increases with increasing off axis angle, degrading the accuracy of the pattern. For this reason it is best to tilt the sample as close to the exact zone