The symmetry of the diffraction pattern from the ZOLZ is normally repeated in the HOLZ patterns, but HOLZ patterns are often shifted by a displacement vector relative to the ZOLZ because of lattice centering or some other symmetry element requiring no allowed reflections on the zone axis, for instance, if no allowed HOLZ reflection presents directly above 000 in the ZOLZ patterns.
Figure 2687 shows 4mm net symmetry in ZOLZ  zone-axis of cubic Zr41Ti14Cu12.5Ni10Be22.5 (lattice parameters: a = 1.185 nm) with space group Fm-3m. The shift between the nets of reflections in the ZOLZ and in the FOLZ indicates that the Bravais lattice cannot be primitive.
Figure 2687. 4mm net symmetry in ZOLZ  zone-axis of cubic Zr41Ti14Cu12.5Ni10Be22.5 ( a = 1.185 nm) .
 Q. Wei, N. Wanderka, P. Schubert-Bischoff, and M-P. Macht, S. Friedrich, Crystallization phases of the Zr41Ti14Cu12.5Ni10Be22.5 alloy after slow solidification, J. Mater. Res., 15 (8) 1729, (2000).