English: TiMn quasicrystal approximant electron-phase-contrast image down the 10-fold direction. Such approximants are formed by the rearrangement of quasicrystal building-blocks (like MacKay icosahedra) into a crystalline, rather than in a quasicrystalline, lattice.
The short-range order symmetry in such cases can dominate the pattern modulation, even if the crystal lattice has a different symmetry altogether. The 10-fold "non-lattice" array of circled spots in the image power spectrum was quite spectacular in diffraction, because the image contrast transfer damping-function was not busy decreasing the intensity of higher spatial frequencies.
The image was obtained during an all-night tilting-session using our EM430ST TEM at Monsanto starting about suppertime on 21 Mar 1990 when Lyle Levine, now at NIST, was working on his dissertation with Ken Kelton and Pat Gibbons at Washington University. The session ended near 5am the next morning, when our zone-to-zone tilting series took us to a 10-fold symmetric <001> zone within one degree on both rotation axes of the range limits on our double-tilt goniometer.
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