Skip to main content
SpringerLink
Log in

Diffusion in Nanocrystalline Materials

  • Chapter
Diffusion in Solids

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 155))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.W. Siegel, H. Hahn, Current Trends in Physics of Materials, M. Yusouff (Ed.), World Scientific Publ. Co., Singapore, p. 403, 1987

    Google Scholar 

  2. R. Birringer, H. Gleiter, Advances in Materials Science, Encyclopedia of Mat. Sci. and Eng., R.W. Cahn (Ed.), Pergamon Press, Oxford, p.339 (1988)

    Google Scholar 

  3. H. Gleiter, Nanocrystalline Materials, Progr. in Materials Science 33, 223 (1989)

    Article  Google Scholar 

  4. S. Gialanella, L. Lutterotti, Nanocrystalline Metallic Materials, p. 1 in [5]

    Google Scholar 

  5. H.S. Nalwa (Ed.) Nanoclusters and Nanocrystals, American Scientific Publishers, California, 2003

    Google Scholar 

  6. P. Heitjans, S. Indris, Diffusion and Ionic Conduction in Nanocrystalline Ceramics, J. Phys.: Condens. Matter 15, R1257 (2003)

    Article  ADS  Google Scholar 

  7. A.V. Chadwick, Diffusion in Nanocrystalline Solids, in: Diffusion Fundamentals, J. Kärger, F. Grindberg, P. Heitjans (Eds.), Leipziger Universitätsverlag 2005, p. 204

    Google Scholar 

  8. C. Suryanayarana, C.C. Koch, in Non-equilibrium Processing of Materials, C. Suryanayarana (Ed.), p. 313–345, Pergamon/Elsevier Science, Oxford, UK, 1999

    Chapter  Google Scholar 

  9. C. Suryanayarana, Progr. in Materials Science 46, 1 (2001)

    Article  Google Scholar 

  10. H.J. Fecht, Nanostruct. Materials 6, 33 (1995)

    Article  Google Scholar 

  11. J. Eckert, J. Nanostruct. Materials 6, 413 (1995)

    Article  Google Scholar 

  12. Th. Sell, H. Mehrer, Z. Metallkd. 88, 112 (1997)

    Google Scholar 

  13. J. Eckert, J.C. Holzer, C.E. Krill III, Scripta Metall. Mater. 27, 1105 (1992)

    Article  Google Scholar 

  14. C.C. Koch, O.B. Cavin, M.G. McCamey, J. Scarbrough, Appl. Phys. Lett. 43, 1017 (1983)

    Article  ADS  Google Scholar 

  15. A.W. Weeber, H. Bakker, Physica B 153, 93 (1988)

    Article  ADS  Google Scholar 

  16. R.B. Schwarz, W.L. Johnson, Phys. Rev. Lett. 51, 415 (1983)

    Article  ADS  Google Scholar 

  17. W.L. Johnson, Progr. Materials Science 30, 81 (1986)

    Article  Google Scholar 

  18. R.Z. Valiev, R.K. Islamgaliev, I.V. Alexandrov, Bulk Nanostructured Materials from Severe Plastic Deformation, Progr. Materials Science 27, 4465 (2000)

    Google Scholar 

  19. G.P. Dinda, H. Rösner, G. Wilde, Materials Science and Engineering A 410–411, 328 (2005)

    Article  Google Scholar 

  20. A. Inoue, Progr. Materials Science 43, 365 (1998)

    Article  Google Scholar 

  21. G. Wilde, N. Boucharat, R.J. Herbert, H. Rösner, J.H. Perepezko, Advanced Engineering Material 5, 125 (2003)

    Article  Google Scholar 

  22. N. Boucharat, R. Herbert, H. Rösner, R. Valiev, G. Wilde, Scripta Materialia 53, 823 (2005)

    Article  Google Scholar 

  23. J.S. Lee, B.-H. Cha, Y.-S. Kang, Advanced Engineering Materials 7, 467 (2005)

    Article  Google Scholar 

  24. G. Herzer, J. Magn. Magn. Mater. 1122, 258 (1992)

    Article  ADS  Google Scholar 

  25. D.L. Beke (Ed.), Nanodiffusion — Diffusion in Nanostructured Materials, Trans Tech Publications, Special Issue of J. of Metastable and Nanocrystalline Materials 19 (2004)

    Google Scholar 

  26. T. Surholt, Chr. Herzig, Acta Mater. 45, 3817 (1997)

    Article  Google Scholar 

  27. K. Maier, Phys. Stat. Sol. (b) 44, 567 (1977)

    Article  ADS  Google Scholar 

  28. R. Würschum, S. Herth, U. Brossmann, Advanced Engineering Material 5, 365 (2003)

    Article  Google Scholar 

  29. I. Kaur, Y. Mishin, W. Gust, Fundamentals of Grain and Interphase Boundary Diffusion, John Wiley and Sons, Ltd., 1995

    Google Scholar 

  30. B.S. Bokstein, I.A. Magidson, I.L. Svetlov, Phys. Met. Metallogr. 6, 81 (1958)

    Google Scholar 

  31. H.S. Levine, C.J. MacCallum, J. Appl. Phys. 31, 595 (1960)

    Article  ADS  Google Scholar 

  32. I.V. Belova, G.E. Murch, in: Nanodiffusion, D.L. Beke (Ed.), J. of Metastable and Nanocrystalline Materials 19, 23 (2004)

    Google Scholar 

  33. J.R. Kalnin, E.A. Kotomin, J. Maier, J. Phys. Chem. Sol. 63, 449 (2002)

    Article  ADS  Google Scholar 

  34. J. Jamnik, J.R. Kalnin, E.A. Kotomin. J. Maier, Phys. Chem. Chem. Phys. 8, 1310 (2005)

    Article  Google Scholar 

  35. E.W. Hart, Acta. Metall. 7 597 (1957)

    Google Scholar 

  36. J.C. Maxwell, Treatise on Electricity and Magnetism, 3rd edition, Clarendon Press, Oxford, 1904

    Google Scholar 

  37. J.C. Maxwell-Garnett, Philos. Trans. Roy. Soc. London 203, 385 (1904)

    Article  ADS  Google Scholar 

  38. A.J. Mortlock, Acta Metall. 8, 132 (1960)

    Article  Google Scholar 

  39. R. Birringer, H. Gleiter, H.-P. Klein, P. Marquardt, Phys. Rev. Lett. A 102, 365 (1984)

    ADS  Google Scholar 

  40. H. Gleiter, Phys. Stat. Sol. (b) 172, 41 (1992)

    Article  ADS  Google Scholar 

  41. J. Horvath, R. Birringer, H. Gleiter, Solid State Communications 62, 319 (1987)

    Article  ADS  Google Scholar 

  42. S. Schumacher, R. Birringer, R. Strau, H. Gleiter, Acta Metall. 37, 2485 (1989)

    Article  Google Scholar 

  43. S.X. McFadden, R.S. Mishra, R.Z. Valiev, A.P. Zhilyaev, A.K. Mukkerjee, Nature 398, 684 (1999)

    Article  ADS  Google Scholar 

  44. R.Z. Valiev, Nature 419, 887 (2002)

    Article  ADS  Google Scholar 

  45. R.Z. Valiev, R.K. Islamgaliev, I.V. Alexandrov, Progr. Mater. Science 45, 103 (2000)

    Article  Google Scholar 

  46. R. Würschum, U. Brossmann, H.-E. Schaefer, in: Nanostructured Materials: Processing, Properties, and Applications, C.C. Koch (Ed.), Noyes Publications, William Andrew Publishin, Norwich, NY, 2002, pp. 267

    Google Scholar 

  47. H. Tanimoto, P. Faber, R. Würschum, R.Z. Valiev, H.-E. Schaefer, Nanostruct. Mater. 12, 681 (1999)

    Article  Google Scholar 

  48. Y.R. Kolobov, G.P. Grabovetskaya, M.B. Ivanov, R.Z. Valiev, Scripta Mater. 44, 873 (2001)

    Article  Google Scholar 

  49. P. Million, J. Ruzickova, J. Velisek, J. Vrestal, Materials Science Engineering 50, 43 (1995)

    Article  Google Scholar 

  50. S.V. Divinski, F. Hisker, Y.-S. Kang, J.-S. Lee, Chr. Herzig, Z. Metallkd. 93, 256 (2002)

    Google Scholar 

  51. S.V. Divinski, F. Hisker, Y.-S. Kang, J.-S. Lee, Chr. Herzig, Z. Metallkd. 93, 265 (2002)

    Google Scholar 

  52. S. Divinski, J.-S. Lee, Chr. Herzig, J. of Metastable and Nanocrystalline Materials 19, 55 (2004)

    Article  Google Scholar 

  53. Y.S. Kang, J.-S. Lee, S.V. Divinski, Chr. Herzig, Z. Metallkd. 95, 2 (2004)

    Google Scholar 

  54. P. Lacombe, P. Guiraldenq, C. Lemonie, 4th Colloque de Metallurgie, Saclay, Presses Universitaires de France, 1992. p. 105

    Google Scholar 

  55. H. Bakker, Self-diffusion in Homogeneous Binary Alloys and Intermediate Phases, Chap. 4 in: Diffusion in Solid Metals and Alloys, H. Mehrer (Vol. Ed.), Landolt-Börnstein, Numerical Data and Functional Relationships in Science and Technology, New Series, Group III: Crystal and Solids State Physics, Vol. 26, Springer-Verlag, 1990

    Google Scholar 

  56. L.M. Klinger, L.A. Levin, A.L. Peteline, Defect and Diffusion Forum 143–147, 1523 (1997)

    Article  Google Scholar 

  57. A.L. Peteline, Mater. Science Forum 235–238, 469 (1997)

    Article  Google Scholar 

  58. A.L. Peteline, S. Peteline, O. Oreshina, Defect and Diffusion Forum 194–199, 1265 (2001)

    Article  Google Scholar 

  59. J.W. Cahn, Y. Mishin, A. Suzuki, Acta Mater. 54, 4953 (2006)

    Article  Google Scholar 

  60. D. Wolf, V. Yamakov, S.R. Philipot, A. Mukkerjee, H. Gleiter, Acta Mater. 53, 1 (2005)

    Article  Google Scholar 

  61. C.C. Liang, J. Electrochem. Soc. 120, 1289 (1973)

    Article  Google Scholar 

  62. J.M. Debierre, P. Knauth, G. Albinet, Appl. Phys. Lett. 71, 1335–7 (1997)

    Article  ADS  Google Scholar 

  63. P. Knauth, G. Albinet, J.M. Debierre, Ber. Bunsenges. Phys. Chem. 102, 945 (1998)

    Google Scholar 

  64. P. Knauth, J. Electroceram. 5, 111 (2000)

    Article  Google Scholar 

  65. J. Maier, Solid State Ionics 23, 59 (1987); J. Electochem. Soc. 134, 1524 (1987); Progr. in Solid State Chemistry 23, 171 (1995); Solid State Ionics 131, 13 (2000)

    Article  Google Scholar 

  66. W. Puin, P. Heitjans, Nanostruct. Mater. 6, 885–8 (1995)

    Article  Google Scholar 

  67. W. Puin, S. Rodewald, R. Ramlau, P. Heitjans, J. Maier, Solid State Ionics 131, 159 (2000)

    Google Scholar 

  68. P. Heitjans, S. Indris, J. Mater. Science 39, 5091 (2004)

    Article  ADS  Google Scholar 

  69. N. Sata, K. Ebermann, K. Eberl, J. Maier, Nature 408, 946 (2000)

    Article  ADS  Google Scholar 

  70. U. Brossmann, R. Würschum, U. Södervall, H.-E. Schaefer, Nanostr. Mater. 12, 871–4 (1999)

    Article  Google Scholar 

  71. N.M. Beckmans, L. Heyne, Electrochem. Acta 21, 303 (1976)

    Article  Google Scholar 

  72. S.P.S. Badwal, A.E. Hughes, J. Eur. Ceram. Soc. 10, 115 (1992)

    Article  Google Scholar 

  73. X. Guo, W. Sigle, J. Fleig, J. Maier, Solid Stae Inics 154–155, 555 (2002)

    Article  Google Scholar 

  74. P. Mondal, H. Hahn, Ber. Bunsenges. Phys. Chem, 101, 1765 (1997)

    Google Scholar 

  75. S. Jiang, J. Mater. Res. 12, 2374 (1997)

    Article  ADS  Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2007). Diffusion in Nanocrystalline Materials. In: Diffusion in Solids. Springer Series in Solid-State Sciences, vol 155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71488-0_34

Download citation

Publish with us

Policies and ethics

Search

Navigation