Near-equiatomic high-entropy decagonal quasicrystal in Al20Si20Mn20Fe20Ga20

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  • ReceivedApr 21, 2020
  • AcceptedJun 26, 2020
  • PublishedSep 21, 2020


Funded by

the National Natural Science Foundation of China(51871015,51471024)

and the Self-determined Project of the State Key Laboratory for Advanced Metals and Materials(2016Z-13)


This work was supported by the National Natural Science Foundation of China (51871015 and 51471024), and the Self-determined Project of the State Key Laboratory for Advanced Metals and Materials (2016Z-13). We thank Liwen Bianji, Edanz Group China for editing the English text of a draft of this manuscript.

Interest statement

The authors declare that they have no conflict of interest.

Contributions statement

He Z conceived the research; Ma H and Zhao L performed the main experiments; He Z, Ma H, Zhao L and Li R wrote the manuscript. All authors analyzed the data, discussed the results, and drew the conclusions.

Author information

Haikun Ma is a PhD student at the State Key Laboratory for Advanced Metals and Materials, University of Science & Technology Beijing (USTB), under Prof. He’s supervision. His research interest focuses on TEM and quasicrystals.

Liangqun Zhao received her Bachelor degree (2017) from Anhui University of Technology and Master degree (2020) from USTB. Her current research interest focuses on quasicrystals and high-entropy alloys.

Zhi-Yi Hu is an associate professor in the Nanostructure Research Centre (NRC) and the State Key Laboratory of Advanced Technology for Materials Synthesis and Processing at Wuhan University of Technology. He received his PhD degree in physics from the Electron Microscopy for Materials (EMAT) research group at the University of Antwerp in 2016. His research focuses on the application of advanced electron microscopy to materials, including nanostructured materials, porous materials and catalyst materials particularly.

He Tian received his PhD degree from the Institute of Physics and Center for Condensed Matter Physics (CAS), China, in 2006. Then he joined the EMAT research group at the University of Antwerp, Belgium, as a Postdoctoral Researcher. Afterwards, he joined the Center of Electron Microscope at Zhejiang University (China) in 2014 as a professor. His main research focuses on the application and development of advanced electron microscopy. His current research interests include application of electron energy loss spectra, transition metal oxides, multiferroic and ferroelectric materials and devices.

Yong Zhang has been a professor of materials science at the USTB since 2004. He has published over 200 papers, including two review papers, each of which is about 100 pages, in the journal of Progress in Materials Science (PMS). He authored a book entitled “High-entropy materials, a brief introduction” by Springer-Nature publisher. He proposed a parameter to evaluate the configurational entropy effect over the enthalpy effect at the liquid state, which has been verified effective to predict the phase formation for the multicomponent materials.

Zhanbing He received his PhD degree in materials science from Dalian University of Technology in 2005 under the supervision of Prof. Kehsin Kuo. He did scientific research at Stockholm University, Swiss Federal Institute of Technology in Lausanne (EPFL), and Ecole Polytechnique from 2005 to 2013. He joined the State Key Laboratory for Advanced Metals and Materials at USTB in 2013 as a full professor. His research interest is in TEM, quasicrystals, and high-entropy alloys.


Supplementary information

Supporting data are available in the online version of the paper.


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  • Figure 1

    Crystalline grains and DQC SAED patterns of the Al20Si20Mn20Fe20Ga20 melt-spun ribbon. (a) Cross-sectional SEM image of melt-spun ribbon. (b, c) TEM images of quasicrystal grains. (d) SAED pattern along the tenfold zone axis from Side B. (e) SAED pattern of one twofold zone axis. (f) SAED pattern of another twofold zone axis at 18° from the SAED in (e). (g) SAED pattern along the tenfold zone axis of DQC in free side of the ribbon (Side A). (h) XRD patterns obtained from the Al20Si20Mn20Fe20Ga20 melt-spun ribbons.

  • Figure 2

    HAADF-STEM image and structural blocks of Al-Si-Mn-Fe-Ga DQC. (a) HAADF-STEM image along the tenfold axis of Al-Si-Mn-Fe-Ga DQC. (b) Colour-tiled HAADF-STEM image along the tenfold axis of Al-Si-Mn-Fe-Ga DQC. (c) Four basic structural blocks: BT, B, H, S. (d) Two types of S tiles. (e) Three types of concave decagon tiles. (f) Six types of SLTs.

  • Figure 3

    D clusters with the tenfold symmetry broken gradually. (a) Five types of D clusters. (b) Corresponding D clusters with the atoms superimposed. (c) Structural schematics of five types of D clusters. The tenfold symmetry of D clusters is broken gradually as the number of 0.47-nm D clusters increases inside (from left to right in the row of (a)).

  • Figure 4

    Positions of Al20Si20Mn20Fe20Ga20 and Al20.5Si19.0Mn20.9Fe26.3Ga13.3 in the δ-Hmix (a) and δ-Ω (b) plots. We use stars to indicate the additional positions reported in this paper. (a) Adapted with the permission from Ref. [53], Copyright 2016, Elsevier; (b) adapted with the permission from Ref. [51], Copyright 2012, Elsevier.

  • Table 1   Calculated values of ∆Hmix (kJ mol−1), δ, Sconf/R, and Ω

    Hmix (kJ mol−1)

    δ (%)








    DQC in Al20Si20Mn20Fe20Ga20






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