2000
DOI: 10.1016/s0921-5093(00)01198-9
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Atomic structure of the Al–Cu–Fe–Si 1/1-cubic approximant

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Cited by 16 publications
(10 citation statements)
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“…If an icosahedral cluster of m 3 5 symmetry is located at the center of the cubic cell, the lattice turns out to have Pm 3 symmetry. Indeed, many 1/1-1/1-1/1 approximants and the Al-Pd-Mn-Si 2/1-2/1-2/1 approximants were reported to have the Pm 3 symmetry [2][3][4][5]8]. Thus, we assumed that the Al 65 Rh 27 Si 8 2/1-2/1-2/1 approximant has a cubic lattice with the Pm 3 symmetry.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…If an icosahedral cluster of m 3 5 symmetry is located at the center of the cubic cell, the lattice turns out to have Pm 3 symmetry. Indeed, many 1/1-1/1-1/1 approximants and the Al-Pd-Mn-Si 2/1-2/1-2/1 approximants were reported to have the Pm 3 symmetry [2][3][4][5]8]. Thus, we assumed that the Al 65 Rh 27 Si 8 2/1-2/1-2/1 approximant has a cubic lattice with the Pm 3 symmetry.…”
Section: Methodsmentioning
confidence: 99%
“…In order to investigate the structure of the Mackaytype quasicrystals and approximants, we performed in the last decade the structure analysis for the Mackaytype 1/1-1/1-1/1 approximants [2][3][4][5]. The periodic structure of the approximants allowed us to make full use of the well-developed Rietveld analysis.…”
Section: Introductionmentioning
confidence: 99%
“…Upon short heat treatment, the lattice parameter of the 1/1 cubic-approximant phase in the powder, as determined from the Rietveld method, was found to be 12.3196 Å. Using previously published values, [13,14,16] it appears that, owing to the large atomic size of Al, its substitution by Si leads to a gradual decrease of the lattice parameter of the 1/1 cubic-approximant phase. Since approximant phases are closely related to the icosahedral phase, a quasi-lattice parameter for the 1/ 1 cubic approximant can be calculated.…”
Section: Discussionmentioning
confidence: 72%
“…pct. [13][14][15][16] The preparation and determination of physical properties of quasicrystals are still the focus of numerous investigations. [6] Stable quasicrystals can be prepared by several techniques, including conventional casting and sintering of quasi-crystalline powders.…”
Section: Introductionmentioning
confidence: 99%
“…The classical example of the Mackay-type atom cluster in a-AlMnSi has local icosahedral symmetry; it has been frequently used as a fundamental structural unit for the simpleicosahedral quasicrystal (P-type) in Al-Mn-Si alloys [2][3][4][5][6]. Recent systematic analyses of 1/1 approximants in Al-Fe-Cu-Si and Al-Cu-Ru alloys have revealed Mackay-type atom clusters that are chemically and geometrically disordered [7,8]; nevertheless the bodycentered arrangement of atom clusters is common among such 1/1 approximants, suggesting the general importance of these Mackay-type atom clusters. A series of cubic approximants, c-AlCuRuSi, a-AlPdMnSi and b-AlPdMnSi [9][10][11], which are referred to as 1/0, 1/1 and 2/1 approximants, respectively, provide additional structural information for the face-centered (F-type) icosahedral quasicrystals.…”
Section: Introductionmentioning
confidence: 99%