| Reference Type | Journal (article/letter/editorial) |
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| Title | The quasicrystal-to-crystal transformation. I. Geometrical principles |
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| Journal | Zeitschrift für Kristallographie - Crystalline Materials |
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| Authors | Steurer, Walter | Author |
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| Year | 2000 (January 1) | Volume | 215 |
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| Issue | 6 |
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| Publisher | Walter de Gruyter GmbH |
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| DOI | doi:10.1524/zkri.2000.215.6.323Search in ResearchGate |
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| Generate Citation Formats |
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| Mindat Ref. ID | 115939 | Long-form Identifier | mindat:1:5:115939:8 |
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| GUID | 0 |
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| Full Reference | Steurer, Walter (2000) The quasicrystal-to-crystal transformation. I. Geometrical principles. Zeitschrift für Kristallographie - Crystalline Materials, 215 (6) 323 doi:10.1524/zkri.2000.215.6.323 |
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| Plain Text | Steurer, Walter (2000) The quasicrystal-to-crystal transformation. I. Geometrical principles. Zeitschrift für Kristallographie - Crystalline Materials, 215 (6) 323 doi:10.1524/zkri.2000.215.6.323 |
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| In | (2000, January) Zeitschrift für Kristallographie - Crystalline Materials Vol. 215 (6) Walter de Gruyter GmbH |
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| Abstract/Notes | A geometrical model of the quasicrystal-to-crystal transformation is discussed on atomic scale. The central idea is to describe a quasiperiodic structure as a special type of incommensurately modulated structure. As a consequence thereof, the periodic average structure of a quasicrystal is also the average structure of all its rational and irrational approximants. Then, quasicrystals can formally be transformed to approximants by atomic displacements smaller than any interatomic distance. This transformation, however, leads to chemically partially disordered resultants, and in the case of two- and three-dimensional quasiperiodic structures also to a certain amount of positional disorder. Fully ordered approximant structures can only be obtained by atomic diffusion. One of the advantages of the present approach is that tools can be used that were developed for the description of phase transitions of incommensurately modulated phases. Examples for one- and three-dimensional quasiperiodic structures are discussed in detail. |
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