Skip to main content
Log in

Spherical periodicity as structural homology of crystalline and amorphous states

晶态与非晶态结构的球周期同源性

  • Articles
  • Published:
Science China Materials Aims and scope Submit manuscript

Abstract

It has been widely accepted that spherical periodicity generally dominates liquid and amorphous structure formation, where atoms tend to gather near spherically periodic shells according to Friedel oscillation. Here we revealed that the same order is just hidden in the atomic global packing modes of the crystalline phases relevant to bulk metallic glasses. Among the nearest-neighbor clusters developed from all the non-equivalent atomic sites in a given phase, there always exists a principal a principal cluster, centered by which the spherical periodicity, both topologically and chemically, is the most distinct. Then the principal clusters plus specific glue atoms just constitute the cluster-plus-glue-atom structural units shared by both metallic glasses and the corresponding crystalline phases. It is further pointed out that the spherical periodicity order represents a common structural homology of crystalline and amorphous states in the medium-range through scrutinizing all binary bulk-glass-relevant phases in Cu-(Zr, Hf), Ni-(Nb, Ta), Al-Ca, and Pd-Si systems.

摘要

球周期在液体与非晶的结构形成过程中占有主要地位, 根据Friedel振荡理论, 原子倾向于聚集在球周期壳层上. 本文提出在非晶晶体相结构中依然隐藏着球周期序列. 在一个给定的相中, 所有非等效原子占位皆衍生出相应的最近邻团簇, 其中必然存在一个具有代表性的主团簇, 以其为中心时, 球周期最明显. 该主团簇加上特定的连接原子组成了对应非晶态的团簇加连接原子结构单元. 本文通过全面分析Cu-(Zr, Hf), Ni-(Nb, Ta), Al-Ca与Pd-Si二元块体非晶形成体系中的晶化相, 进一步指出球周期序代表了晶态与非晶态在中程序的结构同源性.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Häussler P. Interrelations between atomic and electronic structures —liquid and amorphous metals as model systems. Phys Rep, 1992, 222: 65–143

    Article  Google Scholar 

  2. Friedel J. Electronic structure of primary solid solutions in metals. Adv Phys, 1954, 3: 446–507

    Article  Google Scholar 

  3. Häussler P, Barzola-Quiquia J. Spherical periodicity, an intermediate step to long-range order. J Non-Crystalline Solids, 2002, 312-314: 498–501

    Article  Google Scholar 

  4. Han G, Qiang J, Li F, et al. The e/a values of ideal metallic glasses in relation to cluster formulae. Acta Mater, 2011, 59: 5917–5923

    Article  Google Scholar 

  5. Luo L, Chen H, Wang Y, et al. 24 electron cluster formulas as the ‘molecular’ units of ideal metallic glasses. Philos Mag, 2014, 94: 2520–2540

    Article  Google Scholar 

  6. Liu X, Xu Y, Hui X, et al. Metallic liquids and glasses: atomic order and global packing. Phys Rev Lett, 2010, 105: 155501

    Article  Google Scholar 

  7. Wu Z, Li M, Wang W, et al. Hidden topological order and its correlation with glass-forming ability in metallic glasses. Nat Commun, 2015, 6: 6035

    Article  Google Scholar 

  8. Dong C, Wang Q, Qiang J, et al. From clusters to phase diagrams: composition rules of quasicrystals and bulk metallic glasses. J Phys D-Appl Phys, 2007, 40: R273–R291

    Article  Google Scholar 

  9. Häussler P. A new hume-rothery phase with an amorphous structure in noble-metal/simple-metal alloys. J Phys Colloques, 1985, 46: C8–361–C8–365

    Article  Google Scholar 

  10. Bernal J. Geometry of the structure of monatomic liquids. Nature, 1960, 185: 68–70

    Article  Google Scholar 

  11. Gaskell P. A new structural model for transition metal–metalloid glasses. Nature, 1978, 276: 484–485

    Article  Google Scholar 

  12. Miracle D. The efficient cluster packing model–an atomic structural model for metallic glasses. Acta Mater, 2006, 54: 4317–4336

    Article  Google Scholar 

  13. Chen J, Wang Q, Wang Y, et al. Cluster formulae for alloy phases. Philos Mag Lett, 2010, 90: 683–688

    Article  Google Scholar 

  14. Du J, Wen B, Melnik R, et al. Determining characteristic principal clusters in the “cluster-plus-glue-atom” model. Acta Mater, 2014, 75: 113–121

    Article  Google Scholar 

  15. Dong D, Zhang S, Wang Z, et al. Composition interpretation of binary bulk metallic glasses via principal cluster definition. Mater Des, 2016, 96: 115–121

    Article  Google Scholar 

  16. Harrison WA. Solid State Theory. New York: McGraw-Hill, Inc., 1970

    Google Scholar 

  17. Ziman JM. Principles of the Theory of Solids. Cambridge: Cambridge university press, 1972

    Book  Google Scholar 

  18. Hafner J, Heine V. The crystal structures of the elements: pseudopotential theory revisited. J Phys F-Met Phys, 1983, 13: 2479–2501

    Article  Google Scholar 

  19. Kroha J, Huck A, Kopp T. Coulomb interaction and disorder at q=2kF: a novel instability of the Fermi sea and implications for amorphous alloys. Phys Rev Lett, 1995, 75: 4278–4281

    Article  Google Scholar 

  20. Zallen R. The Physics of Amorphous Solids. New York: John Wiley & Sons, Inc., 1983

    Book  Google Scholar 

  21. Wang Z, Qiang J, Wang Y, et al. Composition design procedures of Ti-based bulk metallic glasses using the cluster-plus-glue-atom model. Acta Mater, 2016, 111: 366–376

    Article  Google Scholar 

  22. Wang Z, Dong D, Zhang S, et al. Characteristics of cluster formulas for binary bulk metallic glasses. J Alloys Compd, 2016, 654: 340–343

    Article  Google Scholar 

  23. Zhang S, Dong D, Wang Z, et al. Composition formulas of Ni-(Nb, Ta) bulk metallic glasses. Intermetallics, 2017, 85: 176–179

    Article  Google Scholar 

  24. Huang B, Corbett J. Two new binary calcium-aluminum compounds: Ca13Al14, with a novel two-dimensional aluminum network, and Ca8Al3, an Fe3Al-type analogue. Inorg Chem, 1998, 37: 5827–5833

    Article  Google Scholar 

  25. Hong H, Wang Q, Dong C, et al. Understanding the Cu-Zn brass alloys using a short-range-order cluster model: significance of specific compositions of industrial alloys. Sci Rep, 2014, 4: 7065

    Article  Google Scholar 

  26. Hong H, Wang Q, Dong C. Composition formulas of Cu-Ni industrial alloy specifications. Sci China Mater, 2015, 58: 355–362

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Science Challenge Program (JCKY2016212A504) and the National Natural Science Foundation of China (11674045).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chuang Dong  (董闯).

Additional information

Shuang Zhang is a PhD candidate majored in condensed matter physics at the School of Materials Science and Engineering in DUT. Her research interests include structural modeling of metallic glasses and solid solutions, composition design of alloys, structural origin of simple crystals, and structural homology between ordered and the corresponding disordered states.

Chuang Dong is a professor at the Key Laboratory of Materials Modification, DUT. He obtained his PhD degree in materials science in 1991 at INPL, France. He owned the titles of the Outstanding Young Researcher in 1995 and Changjiang Professor in 2005, respectively. His research interests include structural modeling of disordered materials, alloy design, and surface modification.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, S., Dong, D., Wang, Z. et al. Spherical periodicity as structural homology of crystalline and amorphous states. Sci. China Mater. 61, 409–416 (2018). https://doi.org/10.1007/s40843-017-9161-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40843-017-9161-4

Keywords

Navigation