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Indirect assessment of the surface energy of the Al–Cu–Fe quasicrystal

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Abstract

This work summarizes an attempt to estimate the surface energy of the stable, icosahedral Al–Cu–Fe quasicrystal (i-ACF hereafter). To this end, samples of i-ACF were prepared by sintering a powder produced by ball milling and heat treating a master ingot of composition Al59Cu25.5Fe12.5B3 (at.%), icosahedral lattice structure, and containing negligibly small amounts of contaminating crystalline phases. This powder was then sintered in the shape of a cylinder appropriate for pin-on-disk tests in ambient air. Variable amounts of either Sn or Bi were added to the powder prior to sintering. These elements do not dissolve in the quasicrystal and form small pockets of pure Sn or Bi that are either isolated or percolating, depending on the added volume of metal. Analysis of pin-on-disk data deduced from tests performed at room temperature allows us to conclude that the surface energy of the quasicrystal itself falls between the respective surface energies of the pure metals: γBi ≤ γQC ≤ γSn or 0.5 ≤ γi-ACF ≤ 0.8 J/m2.

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Notes

  1. This approach was used by one of us (JMD, Refs. [17, 18]) while ignoring that Rabinowicz introduced it more than 50 years ago [41]. With JMD’s apologies.

References

  1. Brout R, Nauenberg M (1958) Quantum theory of surface energy and tension. Phys Rev 112–5:1451–1455

    Article  Google Scholar 

  2. Orowan E (1970) Surface energy and surface tension in solids and liquids. Proc R Soc Lond A 316(1527):473–491

    Article  Google Scholar 

  3. Jones H (1971) The surface energy of solid metals. Met Sci 5–1:15–18

    Article  Google Scholar 

  4. Adams BL, Ta’Asan S, Kinderlehrer D, Livshits I, Mason DE, Wu C, Mullins WW, Rohrer GS, Rollett AD, Saylor DM (1999) Extracting grain boundary and surface energy from measurement of triple junction geometry. Interface Sci 7:321–338

    Article  Google Scholar 

  5. Zenkiewicz M (2007) Methods for the calculation of surface free energy of solids. J Achiev Mater Manuf Eng 24–1:137–145

    Google Scholar 

  6. Vitos L, Ruban AV, Skriver HL, Kollár J (1998) The surface energy of metals. Surf Sci 411:186–202

    Article  Google Scholar 

  7. Grin J, Burkhardt U, Ellner M, Peters K (1994) Crystal structure of orthorhombic Co4Al13. J Alloys Compds 206–2:243–247

    Article  Google Scholar 

  8. Li XZ, Dong C, Dubois JM (1995) Structural study of crystalline approximants of the Al–Cu–Fe–Cr decagonal quasicrystal. J Appl Cryst 28:96–104

    Article  Google Scholar 

  9. Dshemuchadse J, Jung DY, Steurer W (2011) Structural building principles of complex face centered cubic intermetallics. Acta Cryst B 67:269–292

    Article  Google Scholar 

  10. Steurer W (2012) Why are quasicrystals quasiperiodic? Chem Soc Rev 41:6719–6729

    Article  Google Scholar 

  11. Dubois JM (2012) Properties—and applications of quasicrystals and complex metallic alloys. Chem Soc Rev 41:6760–6777

    Article  Google Scholar 

  12. Dubois JM (2005) Useful quasicrystals. World Scientific, Singapore

    Book  Google Scholar 

  13. Shechtman D, Blech I, Gratias D, Cahn JW (1984) Metallic phase with long-range orientational order and no translational symmetry. Phys Rev Lett 53–20:1951–1954

    Article  Google Scholar 

  14. Bendersky L (1985) Quasicrystal with one-dimensional translational symmetry and a tenfold rotation axis. Phys Rev Lett 55–14:1461–1465

    Article  Google Scholar 

  15. Ranganathan S, Chattopadhyay K, Alok Singh K, Kelton f (1997) Decagonal quasicrystals. Prog Mater Sci 30:195–240

    Article  Google Scholar 

  16. Bergman C, Girardeaux C, Perrin-Pellegrino C, Gas P, Dubois JM, Rivier N (2008) Contact angles of liquid metals on quasicrystals. J Phys 20:314010

    Google Scholar 

  17. Dubois JM, de Weerd MC, Brenner J (2004) A way to estimate the true surface energy of complex metallic alloys. Ferroelectrics 305:159–162

    Article  Google Scholar 

  18. Dubois JM, Belin-Ferré E (2014) Friction and solid-solid adhesion on complex metallic alloys. Sci Technol Adv Mater 15:034804

    Article  Google Scholar 

  19. Fournée V, Ross AR, Lograsso TA, Evans JW, Thiel PA (2003) Growth of Ag thin films on complex surfaces of quasicrystals and approximant phases. Surf Sci 537:5–26

    Article  Google Scholar 

  20. Fleury E, Kim Y-C, Kim D-H, Kim D-H, Kim W-T (2004) The toughening of Al–Cu–Fe(-B) quasicrystals by Sn particles. J Non-Cryst Solids 334–335:449–452

    Article  Google Scholar 

  21. Singh A, Tsai AP (2003) Melting behaviour of lead and bismuth nano-particles in quasicrystalline matrix—the role of interfaces. Sadhana 28(1–2):63–80

    Article  Google Scholar 

  22. Rabinowicz E (1970) The determination of the compatibility of metals through static friction tests. In: Proceedings of the ASME/ASLE Lubrication Conference, Cincinnati, Ohio, USA, October 13–15, pp 198–205

  23. Dubois JM, Proner A, Bucaille B, Cathonnet P, Dong C, Richard V, Pianelli A, Massiani Y, Ait-Yaazza S, Belin-Ferré E (1994) Plasma sprayed quasicrystalline coatings with reduced adhesion for cookware. Ann Chim 19:3–25

    Google Scholar 

  24. Brien V, Khare V, Herbst F, Weisbecker P, Ledeuil JB, De Weerd MC, Dubois JM (2004) Influence of boron content on the microstructure of sintered Al62.5−xCu25.3Fe12.2Bx alloys (x = 0, 3, 5). J Mater Res 19–10:2974–2980

    Article  Google Scholar 

  25. Dong C, Dubois JM, de Boissieu M, Janot C (1990) Neutron diffraction study of the peritectic growth of the Al65Cu20Fe15 icosahedral quasi-crystal. J Phys 2:6339–6360

    Google Scholar 

  26. Jeitschko W (1969) The crystal structure of Fe2AlB2. Acta Cryst B 25:163–165

    Article  Google Scholar 

  27. Dubois JM, Brunet P, Belin-Ferré E (2000) Potential applications of quasicrystalline materials. In: Belin-Ferré E, Berger C, Quiquandonet M, Sadoc A (eds) Quasicrystals, current topics. World Scientific, Singapore, pp 498–532

    Chapter  Google Scholar 

  28. Spiegler R, Schmadder S, Sigl LS (1990) Fracture toughness evaluation of WC-Co alloys by indentation testing. J. Hard Mater 1–3:147–158

    Google Scholar 

  29. Scholz T, Schneider GA, Muñoz-Saldaña J, Swain MV (2004) Fracture toughness from submicron derived indentation cracks. Appl Phys Lett 84–16:3055–3057

    Article  Google Scholar 

  30. Kang SS, Dubois JM (1992) Compression testing of quasicrystalline materials. Philos Mag A 66–1:151–163

    Article  Google Scholar 

  31. Chung H-Y, Weinberger MB, Yang J-M, Tolbert SH, Kaner RB (2008) Correlation between hardness and elastic moduli of the ultra-incompressible transition metal di-borides RuB2, OsB2, and ReB2. Appl Phys Lett 92(261904):1–3

    Google Scholar 

  32. Musil J, Kunc F, Zeman H, Polakova H (2002) Relationships between hardness, Young’s modulus and elastic recovery in hard nanocomposite coatings. Surf Coat Technol 154:304–313

    Article  Google Scholar 

  33. Xi-ying Zhou, Pei-yao Li, Shi-qiang Qian (2003) Evaluation of fracture toughness of Al–Cu–Fe–B quasicrystal. J Wuhan Univ Technology-Mater Sci Ed 18–3:46–49

    Article  Google Scholar 

  34. Singer IL, Dubois JM, Soro JM, Rouxel D, von Stebut J (1998) Material transfer and surface damage in frictional contact of Al–Cu–Fe quasicrystals. In: Takeuchi S, Fujiwara T (eds) Quasicrystals. World Scientific, Singapore, pp 769–772

    Google Scholar 

  35. Johnson KL, Kendall K, Roberts AD (1971) Surface energy and the contact of elastic solids. Proc R Soc London A 324:301–313

    Article  Google Scholar 

  36. Derjaguin BV, Muller VM, Toporov YP (1975) Effect of contact deformations on the adhesion of particles. J Colloid Interface Sci 53:314–325

    Article  Google Scholar 

  37. Maugis D (2000) Contact, adhesion and rupture of elastic solids, solid-state sciences. Springer-Verlag, Berlin

    Book  Google Scholar 

  38. Carpick RW, Ogletree DF, Salmeron M (1999) A general equation for fitting contact area and friction vs load measurements. J Colloid Interface Sci 211(2):395–400

    Article  Google Scholar 

  39. Sales M, Merstallinger A, Brunet P, De Weerd MC, Khare V, Traxler G, Dubois JM (2006) Cold welding and fretting tests on quasicrystals and related compounds. Philos Mag 86(6–8):965–970

    Article  Google Scholar 

  40. Park JY, Ogletree DF, Salmeron M, Jenks CJ, Thiel PA, Brenner J, Dubois JM (2008) Friction anisotropy: a unique and intrinsic property of decagonal quasicrystals. J Mater Res 23–5:1488–1493

    Article  Google Scholar 

  41. Rabinowicz E (1961) Influence of surface energy on friction and wear phenomena. J Appl Phys 32–8:1440–1444

    Article  Google Scholar 

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Acknowledgements

We are grateful to Saint Gobain Coating Solutions for the provision of a batch of F1® base powder. We acknowledge the help of Ph. Masschlein during SPS experiments. One of us (JMD) is thankful to CNPq for financial support during his stay at LRS, Federal University of Paraíba, João Pessoa, Brazil, in 2015.

Authors’ contributions

DCG prepared the powder specimens and performed the basic characterizations. MCW prepared the sintered pellets. SK performed the pin-on-disk experiments. TAD performed the measurements on SEM. RMG and SJG supervised the work at LSR, UFPB, Brazil. JMD designed the study and wrote the manuscript. All authors participated in the discussions about this work and contributed to amendments of the manuscript. They all agree to co-author the present paper.

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Correspondence to Jean-Marie Dubois.

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To their very best knowledge, the authors of the present article are unaware of existing or potential conflicts of interest.

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Cavalcante Guedes de Lima, D., Dos Passos, T.A., de Weerd, MC. et al. Indirect assessment of the surface energy of the Al–Cu–Fe quasicrystal. J Mater Sci 51, 4070–4078 (2016). https://doi.org/10.1007/s10853-016-9728-7

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