Practical Electron Microscopy and Database

Chapter/Index: Introduction | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | Appendix

Octagonal Quasicrystal

Figure 1451 shows the 2-D (two-dimensional) quasiperiodic octagonal tiling with diffraction symmetry 8mm. The two highlighted partitions in Figure 1451 (b) clearly show the differences between them. (a) (b) (a) Figure 1451. 2-D quasiperiodic octagonal tiling with diffraction symmetry 8mm: (a) Black and white formats, (b) Same pattern as (a) but with two highlighted portions and (c) Truncated octagonal pattern. The corresponding four basis vectors a1, a2, a3 and a4 are shown and the linear combinations of r = Σiuiai across all lattice points. Examples of octagonal quasicrystal structures are V-Ni-Si, Cr-Ni-Si, Mn-Si, Mn-Si-Al and Mn-Fe-Si alloys.