Direct experimental evidence of phonon–phason coupling in an Al-Pd-Mn icosahedral quasicrystal

References

• D. Levine and P.J. Steinhardt, Quasicrystals. I. definition and structure. Phys. Rev B34 (1986), pp. 596–616.
   Web of Science ®Google Scholar
• J.E.S. Socolar and P.J. Steinhardt, Quasicrystals. II. unit-cell configurations. Phys. Rev B34 (1986), pp. 617–647.
   Web of Science ®Google Scholar
• P.J. Steinhardt and S. Ostlund, The Physics of Quasicrystals, World Scientific, Singapore, 1987.
   Google Scholar
• D. Shechtman, I. Blech, D. Gratias and J.W. Cahn, Metallic phase with long-range orientational order and no translational symmetry. Phys. Rev. Lett 53 (1984), pp. 1951–1953.
   Web of Science ®Google Scholar
• J.E.S. Socolar, T.C. Lubensky and P.J. Steinhardt, Phonons, phasons, and dislocations in quasicrystals. Phys. Rev. B 34 (1986), pp. 3345–3360.
   PubMed Web of Science ®Google Scholar
• D. Levine, T.C. Lubensky, S. Ostlund, S. Ramaswamy and P.J. Steinhardt, Elasticity and dislocations in pentagonal and icosahedral quasicrystals. Phys. Rev. Lett 54 (1985), pp. 1520–1523.
   PubMed Web of Science ®Google Scholar
• P. Bak, Symmetry, stability, and elastic properties of icosahedral incommensurate crystals. Phys. Rev. B 32 (1985), pp. 5764–5772.
   PubMed Web of Science ®Google Scholar
• P.A. Kalugin, A.Y. Kitayev and L.S. Levitov, 6-dimensional properties of Al0.86Mn0.14 alloy. J. Physique. Lett 46 (1985), pp. 601–607.
   Google Scholar
• D. Ding, W. Yang, C. Hu and R. Wang, Generalized elasticity theory of quasicrystals. Phys. Rev. B 48 (1993), pp. 7003–7010.
   PubMed Web of Science ®Google Scholar
• J. Bachteler and H.-R. Trebin, Elastic green's function of icosahedral quasicrystals. Eur. Phys. J. B 4 (1998), pp. 299–306.
   Web of Science ®Google Scholar
• C. Hu, R. Wang and D. Ding, Symmetry groups, physical property tensors, elasticity and dislocations in quasicrystals. Rep. Prog. Phys 63 (2000), pp. 1–39.
   Web of Science ®Google Scholar
• M. Ricker, J. Bachteler and H.-R. Trebin, Elastic theory of icosahedral quasicrystals - application to straight dislocations. Eur. Phys. J. B 23 (2001), pp. 351–363.
   Web of Science ®Google Scholar
• C.L. Henley, in Random Tiling Models in Quasicrystals: The State of the Art, D.P. DiVincenzo, P.J. Steinhardt, eds., World Scientific, Singapore, 1991. pp. 459–560.
   Google Scholar
• K. Edagawa and K. Kajiyama, High temperature specific heat of Al-Pd-Mn and Al-Cu-Co quasicrystals. Mater. Sci. Eng A294–296 (2000), pp. 646–649.
   Google Scholar
• S. Tamura, K. Fukushima, Y. Tokumoto, Y. Takagiwa and K. Edagawa, High-Temperature specific heat of Al-Cu-Ru icosahedral quasicrystals and 1/1 crystal approximants. Mater. Trans 62 (2021), pp. 356–359.
   Web of Science ®Google Scholar
• K. Fukushima, H. Suyama, Y. Tokumoto, Y. Kamimura, Y. Takagiwa and K. Edagawa, Comparative study of high-temperature specific heat for Al-Pd-Mn icosahedral quasicrystals and crystal approximants. J. Phys. Commun 5 (2021), pp. 085002.
   Web of Science ®Google Scholar
• L.H. Tang and M.V. Jaric, Equilibrium quasicrystal phase of a penrose tiling model. Phys. Rev B41 (1990), pp. 4524–4546.
   Google Scholar
• H.C. Jeong and P.J. Steinhardt, Finite-temperature elasticity phase transition in decagonal quasicrystals. Phys. Rev B48 (1993), pp. 9394–9403.
   Google Scholar
• T. Dotera and P.J. Steinhardt, Ising-like transition and phason unlocking in icosahedral quasicrystals. Phys. Rev. Lett 72 (1994), pp. 1670–1673.
   PubMed Web of Science ®Google Scholar
• H.-R. Trebin, U. Koschella, M. Umezaki and T. Odagaki, Investigation of phason statics and dynamics. Phil. Mag 86 (2006), pp. 1021–1028.
   Google Scholar
• M. de Boissieu, M. Boudard, B. Hennion, R. Bellissent, S. Kycia, A. Goldman, C. Janot and M. Audier, Diffuse scattering and phason elasticity in the AlPdMn icosahedral phase. Phys. Rev. Lett 75 (1995), pp. 89–92.
   PubMed Web of Science ®Google Scholar
• M. Boudard, M. de Boisseu, A. Letoublon, B. Hennion, R. Bellissent and C. Janot, Phason softening in the AlPdMn icosahedral phase. Europhys. Lett 33 (1996), pp. 199–204.
   Google Scholar
• A. Letoublon, M. de Boissieu, M. Boudard, L. Mancini, J. Gastaldi, B. Hennion, R. Caudron and R. Bellissent, Phason elastic constants of the icosahedral Al-Pd-Mn phase derived from diffuse scattering measurements. Philos. Mag. Lett 81 (2001), pp. 273–283.
   Web of Science ®Google Scholar
• M. Boudard, A. Letoublon, M. de Boissieu, T. Ishimasa, M. Mori, E. Elkaim and J.P. Lauriat, Phase transition and diffuse scattering studies in the Al–Cu–Fe ternary system. Mater. Sci. and Eng A 294–296 (2000), pp. 217–220.
   Web of Science ®Google Scholar
• M. de Boissieu, H. Takakura, M. Bletry, J.Q. Guo and A.P. Tsai, Phason fluctuations in i-AlPdRe and i-CdYb phases. J. of Alloys and Comp 342 (2002), pp. 265–270.
   Web of Science ®Google Scholar
• M. de Boissieu, S. Francoual, Y. Kaneko and T. Ishimasa, Diffuse scattering and phason fluctuations in the Zn-Mg-Sc icosahedral quasicrystal and its Zn-Sc periodic approximant. Phys. Rev. Lett 95 (2005), pp. 105503.
   PubMed Web of Science ®Google Scholar
• Y. Ishii, Phason softening and structural transitions in icosahedral quasicrystals. Rev. B 45 (1992), pp. 5228–5239.
   PubMed Web of Science ®Google Scholar
• M. Widom, Elastic stability and diffuse scattering in icosahedral quasicrystals. Phil. Mag. Lett 64 (1991), pp. 297–305.
   Web of Science ®Google Scholar
• U. Koschella, F. Gaeler, J. Roth and H.-R. Trebin, Phason elastic constants of a binary tiling quasicrystal. J. of Alloys. Comp 342 (2002), pp. 287–290.
   Web of Science ®Google Scholar
• W.-J. Zhu and C.L. Henley, Phonon-phason coupling in icosahedral quasicrystals. Europhys. Lett 46 (1999), pp. 748–754.
   Google Scholar
• K. Edagawa, Phonon-phason coupling in a Mg-Ga-Al-Zn icosahedral quasicrystal. Phil. Mag. Lett 85 (2005), pp. 455–462.
   Web of Science ®Google Scholar
• K. Edagawa, Phonon-phason coupling in decagonal quasicrystals. Phil. Mag 87 (2007), pp. 2789–2798.
   Google Scholar
• K. Edagawa and Y.G. So, Experimental evaluation of phonon-phason coupling in icosahedral quasicrystals. Phil. Mag 87 (2007), pp. 77–95.
   Google Scholar
• M. Feuerbacher, M. Weller, J. Diehl and K. Urban, Mechanical spectroscopy of Al-Pd-Mn single quasicrystals. Philos. Mag. Lett 74 (1996), pp. 81–88.
   Web of Science ®Google Scholar
• Y.G. So, S. Sato, K. Edagawa, T. Mori and R. Tamura, Comparative study on internal friction in an Al-Pd-Mn icosahedral quasicrystal and its crystal approximants. Phys. Rev. B 80 (2009), pp. 224204.
   Web of Science ®Google Scholar
• K. Edagawa and S. Takeuchi, Elasticity, Dislocations and Their Motion in Quasicrystals in Dislocations in Solids, F.R.N. Nabarro, J.P. Hirth, eds., Elsevier BV North-Holland, Amsterdam, 2007. pp. 27–47.
   Google Scholar
• W.A. Rachinger, A Correction for the α1 α2 Doublet in the Measurement of Widths of X-ray Diffraction Lines. J. Scient. Instrum 25 (1948), pp. 254–255.
   Google Scholar
• S. Francoual, F. Livet, M. de Boissieu, F. Yakhou, F. Bley, A. Letoublon, R. Caudron, J. Gastaldi and R. Currat, Dynamics of long-wavelength phason fluctuations in the i-Al-Pd-Mn quasicrystal. Philos. Mag 86 (2006), pp. 1029–1035.
   Web of Science ®Google Scholar
• K. Tanaka, Y. Mitarai and M. Koiwa, Elastic constants of Al-based icosahedral quasicrystals. Philos. Mag. A 73 (1996), pp. 1715–1723.
   Web of Science ®Google Scholar
• M. Audier, M. Durand-Charre and M. de Boissieu, Alpdmn phase diagram in the region of quasicrystalline phases. Philos. Mag. B 68 (1993), pp. 607–618.
   Web of Science ®Google Scholar