1986
DOI: 10.1103/physrevlett.57.1440
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Distortion and Peak Broadening in Quasicrystal Diffraction Patterns

Abstract: In this paper, we discuss how quenched strains in phonon and phason variables and/or quenched dislocations can lead to peak broadening and distortion in quasicrystal diffraction patterns. We argue that high-resolution electron micrographs and observations of distortions in electron diffraction patterns indicate the presence of anisotropic strains in the phason variable in the icosahedral phase of Al-Mn and related alloys. Such strains also contribute to the x-ray peak widths and line shapes.

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Cited by 256 publications
(86 citation statements)
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“…It displays precisely the same rotational axes and overall face-centered icosahedral symmetry as natural icosahedrite and low phason strain. This low phason strain is contrary to the typical appearance of metastable quasicrystals grown by rapid quenching from melt, which exhibit phason strain that manifests as diffraction peaks that are broadened and shifted systematically from the ideal icosahedrally symmetric pattern (19,20). The peaks in the powder diffraction pattern, indexed on the basis of six integer indices conventionally used with quasicrystals (3,4), are listed in Table 2 and compared with the corresponding peaks in the isostructural natural icosahedrite Al 63 Cu 24 Fe 13 (5,6).…”
Section: Significancementioning
confidence: 73%
“…It displays precisely the same rotational axes and overall face-centered icosahedral symmetry as natural icosahedrite and low phason strain. This low phason strain is contrary to the typical appearance of metastable quasicrystals grown by rapid quenching from melt, which exhibit phason strain that manifests as diffraction peaks that are broadened and shifted systematically from the ideal icosahedrally symmetric pattern (19,20). The peaks in the powder diffraction pattern, indexed on the basis of six integer indices conventionally used with quasicrystals (3,4), are listed in Table 2 and compared with the corresponding peaks in the isostructural natural icosahedrite Al 63 Cu 24 Fe 13 (5,6).…”
Section: Significancementioning
confidence: 73%
“…Unless grown under the most carefully controlled conditions, quasicrystals exhibit phason strains (Levine et al, 1985;Lubensky et al, 1986), easily detected as deviations of the dimmer peaks from straight lines when the diffraction pattern is viewed at a glancing angle (Lubensky et al, 1986). The electron diffraction patterns in Fig.…”
Section: Impossiblementioning
confidence: 99%
“…Quasicrystals made by rapid quenching and/or embedded in a matrix of another phase generically exhibit easily detectable phason strains (Levine et al 1985, Lubensky et al 1986.…”
Section: Too Perfect?mentioning
confidence: 99%