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1
Analysis of pulsed-neutron powder diffraction patterns of the icosahedral quasicrystals Pd3Siu and AlCuLiMg (three alloys) as twinned cubic crystals with large units.二十面体准晶体Pd3Siu和AlCuLiMg（三种合金）作为具有大晶胞的孪晶立方晶体的脉冲中子粉末衍射图谱分析。
Proc Natl Acad Sci U S A. 1991 Aug 1;88(15):6600-2. doi: 10.1073/pnas.88.15.6600.
2
Unified structure theory of icosahedral quasicrystals: Evidence from neutron powder diffraction patterns that AlCrFeMnSi, AlCuLiMg, and TiNiFeSi icosahedral quasicrystals are twins of cubic crystals containing about 820 or 1012 atoms in a primitive unit cube.二十面体准晶的统一结构理论：来自中子粉末衍射图谱的证据表明，AlCrFeMnSi、AlCuLiMg 和 TiNiFeSi 二十面体准晶是包含约 820 或 1012 个原子的原始单位立方晶体的孪晶。
Proc Natl Acad Sci U S A. 1988 Nov;85(22):8376-80. doi: 10.1073/pnas.85.22.8376.
3
Icosahedral quasicrystals of intermetallic compounds are icosahedral twins of cubic crystals of three kinds, consisting of large (about 5000 atoms) icosahedral complexes in either a cubic body-centered or a cubic face-centered arrangement or smaller (about 1350 atoms) icosahedral complexes in the beta-tungsten arrangement.金属间化合物的二十面体准晶体是三种立方晶体的二十面体孪晶，由大（约 5000 个原子）二十面体复合物组成，呈立方体心或立方面心排列，或由较小（约 1350 个原子）二十面体复合物呈β-钨排列。
Proc Natl Acad Sci U S A. 1989 Nov;86(22):8595-9. doi: 10.1073/pnas.86.22.8595.
4
Evidence from x-ray and neutron powder diffraction patterns that the so-called icosahedral and decagonal quasicrystals of MnAl(6) and other alloys are twinned cubic crystals.X 射线和中子粉末衍射图谱的证据表明，所谓的 MnAl(6)和其他合金的二十面体和十重准晶体是孪晶立方晶体。
Proc Natl Acad Sci U S A. 1987 Jun;84(12):3951-3. doi: 10.1073/pnas.84.12.3951.
5
Icosahedral quasicrystals as twins of cubic crystals containing large icosahedral clusters of atoms: The 1012-atom primitive cubic structure of Al(6)CuLi(3), the C-phase Al(37)Cu(3)Li(21)Mg(3), and GaMg(2)Zn(3).二十面体准晶作为含有大二十面体原子簇的立方晶体的孪晶：Al(6)CuLi(3)的 1012 原子原始立方结构、C 相 Al(37)Cu(3)Li(21)Mg(3)和 GaMg(2)Zn(3)。
Proc Natl Acad Sci U S A. 1988 Jun;85(11):3666-9. doi: 10.1073/pnas.85.11.3666.
6
Icosahedral and decagonal quasicrystals of intermetallic compounds are multiple twins of cubic or orthorhombic crystals composed of very large atomic complexes with icosahedral point-group symmetry in cubic close packing or body-centered packing: Structure of decagonal Al(6)Pd.具有二十面体和十重对称性的金属间化合物准晶体是由具有二十面体点群对称性的非常大的原子复合物组成的立方或正交晶体的多重孪晶，这些复合物在立方密堆积或体心堆积中排列：十重 Al(6)Pd 的结构。
Proc Natl Acad Sci U S A. 1989 Dec;86(24):9637-41. doi: 10.1073/pnas.86.24.9637.
7
Additional evidence from x-ray powder diffraction patterns that icosahedral quasi-crystals of intermetallic compounds are twinned cubic crystals.X 射线粉末衍射图谱的进一步证据表明，金属间化合物的二十面体准晶体是孪晶立方晶体。
Proc Natl Acad Sci U S A. 1988 Jul;85(13):4587-90. doi: 10.1073/pnas.85.13.4587.
8
The Equivalence Between Unit-Cell Twinning and Tiling in Icosahedral Quasicrystals.二十面体准晶体中晶胞孪晶与平铺之间的等效性。
Sci Rep. 2017 Sep 29;7(1):12474. doi: 10.1038/s41598-017-12669-w.
9
Nanosized (mu12-Pt)Pd164-xPtx(CO)72(PPh3)20 (x approximately 7) containing Pt-centered four-shell 165-atom Pd-Pt core with unprecedented intershell bridging carbonyl ligands: comparative analysis of icosahedral shell-growth patterns with geometrically related Pd145(CO)x(PEt3)30 (x approximately 60) containing capped three-shell Pd145 core.纳米尺寸的(μ12-Pt)Pd164-xPtx(CO)72(PPh3)20（x约为7），其包含以铂为中心的四壳层165原子钯-铂核以及前所未有的壳间桥连羰基配体：与含有封端三壳层钯145核的几何相关的Pd145(CO)x(PEt3)30（x约为60）的二十面体壳层生长模式的比较分析。
J Am Chem Soc. 2007 Sep 19;129(37):11619-30. doi: 10.1021/ja073945q. Epub 2007 Aug 28.
10
Lattice dynamics of the icosahedral quasicrystals i-ZnMgSc and i-ZnAgSc and the cubic 1/1-approximant Zn6Sc.二十面体准晶体i-ZnMgSc和i-ZnAgSc以及立方1/1近似物Zn6Sc的晶格动力学
J Phys Condens Matter. 2014 Feb 5;26(5):055402. doi: 10.1088/0953-8984/26/5/055402.

本文引用的文献

1
Icosahedral quasicrystals of intermetallic compounds are icosahedral twins of cubic crystals of three kinds, consisting of large (about 5000 atoms) icosahedral complexes in either a cubic body-centered or a cubic face-centered arrangement or smaller (about 1350 atoms) icosahedral complexes in the beta-tungsten arrangement.金属间化合物的二十面体准晶体是三种立方晶体的二十面体孪晶，由大（约 5000 个原子）二十面体复合物组成，呈立方体心或立方面心排列，或由较小（约 1350 个原子）二十面体复合物呈β-钨排列。
Proc Natl Acad Sci U S A. 1989 Nov;86(22):8595-9. doi: 10.1073/pnas.86.22.8595.
2
Unified structure theory of icosahedral quasicrystals: Evidence from neutron powder diffraction patterns that AlCrFeMnSi, AlCuLiMg, and TiNiFeSi icosahedral quasicrystals are twins of cubic crystals containing about 820 or 1012 atoms in a primitive unit cube.二十面体准晶的统一结构理论：来自中子粉末衍射图谱的证据表明，AlCrFeMnSi、AlCuLiMg 和 TiNiFeSi 二十面体准晶是包含约 820 或 1012 个原子的原始单位立方晶体的孪晶。
Proc Natl Acad Sci U S A. 1988 Nov;85(22):8376-80. doi: 10.1073/pnas.85.22.8376.
3
Additional evidence from x-ray powder diffraction patterns that icosahedral quasi-crystals of intermetallic compounds are twinned cubic crystals.X 射线粉末衍射图谱的进一步证据表明，金属间化合物的二十面体准晶体是孪晶立方晶体。
Proc Natl Acad Sci U S A. 1988 Jul;85(13):4587-90. doi: 10.1073/pnas.85.13.4587.
4
A revised set of values of single-bond radii derived from the observed interatomic distances in metals by correction for bond number and resonance energy.经修正的一组单键半径值，该值由金属中原子间实际距离经键数和共振能修正后得到。
Proc Natl Acad Sci U S A. 1986 Jun;83(11):3569-71. doi: 10.1073/pnas.83.11.3569.
5
Factors determining the average atomic volumes in intermetallic compounds.影响金属间化合物平均原子体积的因素。
Proc Natl Acad Sci U S A. 1987 Jul;84(14):4754-6. doi: 10.1073/pnas.84.14.4754.
6
Evidence from electron micrographs that icosahedral quasicrystals are icosahedral twins of cubic crystals.电子显微镜照片的证据表明，二十面体准晶体是立方晶体的二十面体孪晶。
Proc Natl Acad Sci U S A. 1990 Oct;87(20):7849-50. doi: 10.1073/pnas.87.20.7849.
7
Structure of icosahedral Al-Cu-Li.二十面体Al-Cu-Li的结构
Phys Rev Lett. 1987 May 11;58(19):1956-1959. doi: 10.1103/PhysRevLett.58.1956.
8
Differential anomalous-x-ray-scattering study of icosahedral and amorphous Pd58.8U20.6Si20.6.二十面体和非晶态Pd58.8U20.6Si20.6的差分反常x射线散射研究
Phys Rev Lett. 1986 Jul 7;57(1):114-117. doi: 10.1103/PhysRevLett.57.114.
9
Structure of Al-(Li,Mg)-Cu icosahedral alloys studied by pulsed neutron scattering.通过脉冲中子散射研究的Al-(Li,Mg)-Cu二十面体合金的结构
Phys Rev B Condens Matter. 1988 Jan 15;37(3):1146-1154. doi: 10.1103/physrevb.37.1146.

二十面体准晶体Pd3Siu和AlCuLiMg（三种合金）作为具有大晶胞的孪晶立方晶体的脉冲中子粉末衍射图谱分析。

Analysis of pulsed-neutron powder diffraction patterns of the icosahedral quasicrystals Pd3Siu and AlCuLiMg (three alloys) as twinned cubic crystals with large units.

作者信息

Pauling L

机构信息

Linus Pauling Institute of Science and Medicine, Palo Alto, CA 94306-2025, USA.

出版信息

Proc Natl Acad Sci U S A. 1991 Aug 1;88(15):6600-2. doi: 10.1073/pnas.88.15.6600.

DOI:10.1073/pnas.88.15.6600
PMID:11607201
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC52134/
Abstract

The low-Q peaks on three pulsed-neutron powder patterns (total, U differential, and Pd differential) of the icosahedral quasicrystal Pd3SiU have been indexed on the basis of an assumed cubic structure of the crystals that by icosahedral twinning form the quasicrystal. The primitive unit cube is found to have edge length 56.20 A and to contain approximately 12,100 atoms. Similar analyses of pulsed-neutron patterns of Al55Cu10Li35, Al55Cu10Li30Mg5, and Al510Cu125Li235Mg130 give values of the cube edge length 58.3, 58.5, and 58.4 A, respectively, with approximately 11,650 atoms in the unit cube. It is suggested that the unit contains eight complexes in the beta-W positions, plus some small interstitial groups of atoms, with each complex consisting of a centered icosahedron of 13 clusters, each of 116 atoms with the icosahedral structure found in the body-centered cubic crystal Mg32(Al,Zn)49.

摘要

二十面体准晶体Pd₃SiU的三个脉冲中子粉末图谱（总图谱、U差分图谱和Pd差分图谱）上的低Q峰，已根据假定的晶体立方结构进行了指标化，该晶体通过二十面体孪晶形成准晶体。发现原始单位立方体的边长为56.20 Å，约包含12100个原子。对Al₅₅Cu₁₀Li₃₅、Al₅₅Cu₁₀Li₃₀Mg₅和Al₅₁₀Cu₁₂₅Li₂₃₅Mg₁₃₀的脉冲中子图谱进行类似分析，得到的立方体边长值分别为58.3 Å、58.5 Å和58.4 Å，单位立方体中约有11650个原子。有人提出，该单位在β-W位置包含八个络合物，外加一些小的间隙原子团，每个络合物由一个由13个簇组成的中心二十面体构成，每个簇有116个原子，具有体心立方晶体Mg₃₂(Al,Zn)₄₉中发现的二十面体结构。