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Quasiperiodic and Disordered Interfaces in Nanostructured Materials

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Nanostructured Materials

Part of the book series: NATO ASI Series ((ASHT,volume 50))

Abstract

This lecture is concerned with quasiperiodic and disordered interfaces in nanostructured materials. The notion of quasiperiodic interfaces is rather new in both solid state physics and materials science. In particular, it is not widespread among experts in the area of nanostructured materials. Therefore, the most attention in this lecture will be paid to the structure and properties of quasiperiodic interfaces as well as to their contribution to macroscopic properties of nanostructured materials. In doing so, for brevity, we will concentrate our theoretical consideration on final results, while intermediate mathematical details will be only outlined.

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References

  1. Lubensky, T.C. (1988) Symmetry, elasticity and hydrodynamics in quasiperiodic structures, in M.V. Jaric (ed.), Introduction to Quasicrystals, Academic Press, Boston., pp. 199–280.

    Chapter  Google Scholar 

  2. Janssen, T. (1988) Aperiodic crystals: a contradiction in terms? Phys.Rep. 168, 55–113.

    Article  Google Scholar 

  3. Ovid’ko, I.A. (1991), Defects in Condensed Media: Glasses, Crystals, Quasicrystals, Liquid Crystals, Magnetics, Superfluids, Znanie, St.Petersburg (in Russian).

    Google Scholar 

  4. Jain, S.C., Willis, J.R., and Bullough, R. (1990) A review of theoretical and experimental work on the structure of GeSi structured layers and superlattices, with extensive bibliography, Adv.Phys. 39, 127–90.

    Article  CAS  Google Scholar 

  5. Ievlev, V.M., Trusov, L.I., and Kholmyanskii, V.A. (1988) Structural Transformations in Thin Films. Metallurgiya, Moscow (in Russian).

    Google Scholar 

  6. Jesser, W.A., and Kui, J. (1993) Misfit dislocation generation mechanisms in heterostructures, Mater.Sci.Eng.A 163, 101–10.

    Google Scholar 

  7. Van der Merwe, J.H. (1991) Strain relaxation in epitaxial interfaces, J.Electron. Mater. 20, 793–803.

    Article  Google Scholar 

  8. Kukushkin, S.A., and Osipov, A.V. (1995) Soliton model of island migration in thin films, Surf.Sci. 329, 135–40.

    Article  CAS  Google Scholar 

  9. Rubets, V.P., and Kukushkin, S.A. (1992) Determination of migration mechanism and the influence of structure of films, Thin Solid Films 221, 267–70.

    Article  CAS  Google Scholar 

  10. Trusov, L.I., and Kholmyanskii, V.A. (1973) Island Metallic Films, Metallurgiya, Moscow (in Russian).

    Google Scholar 

  11. Sutton, A.P., and Vitek, V. (1983) On the structure of tilt grain boundaries in cubic metals, Phil. Trans.Roy.Soc.London A 309, 1–68.

    Article  CAS  Google Scholar 

  12. Nazarov, A.A., and Romanov A.E. (1989) On the average misorientation of general tilt boundaries, Phil.Mag.Lett. 60, 187–93.

    Article  Google Scholar 

  13. Sutton, A.P. (1988) Irrational tilt grain boundaries as one-dimensional quasicrystals, Acta Metall. 36, 1291–9.

    Article  CAS  Google Scholar 

  14. Rivier, N., and Lawrence, A.J.A. (1988) Quasicrystals at grain boundaries, Physica B 150, 190–202.

    Article  Google Scholar 

  15. Mikaelyan, K.N., Ovid’ko, I.A., and Romanov, A.E. (1997) Geometric and energetic characteristics of quasiperiodic grain boundaries in crystals, in V.I. Betekhtin (ed.), Modern Problems of Physics and Mechanics of Materials, St.Petersburg State University, St.Petersburg, pp. 186–93 (in Russian).

    Google Scholar 

  16. Mikaelyan, K.N., Ovid’ko, I.A., and Romanov, A.E. Energetic and stress-field characteristics of quasiperiodic tilt boundaries in polycrystalline and nanocrystalline materials, submitted to Mater.Sci.Eng.A.

    Google Scholar 

  17. Gratias, D. and Thalal, A. (1988) Hidden symmetries in general grain boundaries, Phil.Mag.Lett. 57, 63–8.

    Article  Google Scholar 

  18. Ovid’ko, I.A. (1997) Quasinanocrystalline materials, Nanostruct.Mater. 8, 149–53.

    Article  Google Scholar 

  19. Ovid’ko, I.A. (1997) Quasiperiodic grain boundaries and intergrain sliding in crystalline and quasinanocrystalline solids, Phys.Sol.State 39, 268–73.

    Article  Google Scholar 

  20. Ovid’ko, I.A. (1994) New micromechanism for strengthening in polycrystalline solids, Mater.Sci.Eng.A 188, 37–41.

    Article  Google Scholar 

  21. Ovid’ko, I.A. (1995) Dislocations and quasiperiodic structures, Phys.Stat. Sol. (a) 149, 389–94.

    Article  Google Scholar 

  22. Romanov, A.E. (1995) Continuum theory of defects in nanoscaled materials, Nanostruct.Mater. 6, 125–34.

    Article  CAS  Google Scholar 

  23. Gryaznov, V.G. and Trusov, L.I. (1993) Size effects in micromechanics of nanocrystals, Progr. Mater. Sci. 37, 239–401.

    Article  Google Scholar 

  24. Hahn, H., and Padmanabhan, K.A. (1995) Mechanical response of nano-structured materials, Nanostruct.Mater 6, 191–200.

    Article  CAS  Google Scholar 

  25. Siegel, R.W., and Fougere, G.E. (1995) Mechanical properties of nanophase materials, Nanostruct.Mater. 6, 205–16.

    Article  CAS  Google Scholar 

  26. Vladimirov, V.I. (1975) Einführung in die Physikalishe Theorie der Plastizität und Festigkeit, VEB Deutscher Verlag für Grundstoffindustrie, Leipzig.

    Google Scholar 

  27. Kaibyshev, O.A., and Valiev, R.Z. (1986) Grain Boundaries and Properties of Metals, Metallurgiya, Moscow (in Russian).

    Google Scholar 

  28. Gryaznov, V.G., Gutkin, M.Yu., Romanov, A.E., and Trusov, L.I. (1993) On the yield stress of nanocrystals, J.Mater.Sci. 28, 4359–65.

    Article  CAS  Google Scholar 

  29. Armstrong, R.W., Gold, I., Douthwait, R.M., and Petch, N.I. (1962) The plastic deformation of polycrystalline aggregates, Phil.Mag. 7, 45–58.

    Article  CAS  Google Scholar 

  30. Schaeffer, R.J., and Bendersky, L.A. (1988) Metallurgy of quasicrystals, in M.V. Jaric (ed.), Introduction to Quasicrystals, Academic Press, Boston etc., pp. 111–42.

    Chapter  Google Scholar 

  31. Inoue, A. (1995) Preparation and novel properties of nanocrystalline and nanoquasicrystalline alloys, Nanostruct.Mater. 6, 53–64.

    Article  CAS  Google Scholar 

  32. Ovid’ko, I.A. (1994) Structural geometry of grain boundaries in icosahedral quasicrystals, Zeit.Phys.B 95, 321–6.

    Article  Google Scholar 

  33. Romanov, A.E., (1997) Micromechanics of defects in nanostructured materiah, paper in this volume.

    Google Scholar 

  34. Jing, J., Krämer, A., Birringer, R., Gleiter, H., and Gonser, U. (1989) Modified atomic structure in a Pd - Fe - Si nanoglasses: a Mossbauer study, J. Non-Cryst. Solids 113, 167–70.

    Article  CAS  Google Scholar 

  35. Gleiter, H. (1991) Nanocrystalline solids, J. Appl. Crysi. 24, 79–90.

    Article  CAS  Google Scholar 

  36. Wurschum, R., Rollinger, M., Kisker, H., Raichle, A., Damson B., and Schaefer H.-E. (1995) Synthesis of nanoamorphous alloys by particle condensation and compaction, Nanostruct. Mater. 6, 377–80.

    Article  Google Scholar 

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Ovid’ko, I.A. (1998). Quasiperiodic and Disordered Interfaces in Nanostructured Materials. In: Chow, GM., Noskova, N.I. (eds) Nanostructured Materials. NATO ASI Series, vol 50. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5002-6_10

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  • DOI: https://doi.org/10.1007/978-94-011-5002-6_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6100-1

  • Online ISBN: 978-94-011-5002-6

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