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Germanium diffusion in aluminium: connection between point defect parameters with bulk properties

  • E. Ganniari-Papageorgiou
  • M. E. Fitzpatrick
  • A. ChroneosEmail author
Article

Abstract

The understanding of dopant diffusion and its temperature dependance is technologically important in metals. As a model system we consider germanium diffusion in aluminium. This is an appropriate system as germanium does not form intermetallic compounds in aluminium and therefore it simplifies the investigation of its diffusion behavior. Here we use experimental elastic and expansivity data to derive the germanium diffusion coefficient in aluminium in the framework of the so-called cBΩ model, between 673 and 883 K. This model is a powerful way to study point defect parameters in metals as it connects them to bulk properties, which are more easily accessible. The calculated diffusivities are in excellent agreement with the experimental data.

Keywords

Olivine Bulk Property PbF2 Calculated Diffusivity Solid Solubility Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The authors are grateful for funding from the Lloyd’s Register Foundation, a charitable foundation helping to protect life and property by supporting engineering-related education, public engagement and the application of research.

References

  1. 1.
    M.J.D. Rushton, A. Chroneos, Sci. Rep. 4, 6068 (2014)CrossRefGoogle Scholar
  2. 2.
    D. Rupasov, A. Chroneos, D. Parfitt, J.A. Kilner, R.W. Grimes, S.Y. Istomin, E.V. Antipov, Phys. Rev. B 79, 172102 (2009)CrossRefGoogle Scholar
  3. 3.
    H. Tahini, A. Chroneos, R.W. Grimes, U. Schwingenschlögl, H. Bracht, Appl. Phys. Lett. 99, 072112 (2011)CrossRefGoogle Scholar
  4. 4.
    A. Thürer, G. Rummel, T. Zumkley, K. Freitag, H. Mehrer, Phys. Stat. Sol. A 149, 535 (1995)CrossRefGoogle Scholar
  5. 5.
    E. Hornbogen, A.K. Mukhopadhyay, E.A. Starke Jr, Z. Metallk. 83, 577 (1992)Google Scholar
  6. 6.
    E. Hornbogen, A.K. Mukhopadhyay, E.A. Starke Jr, Scr. Met. Mater. 27, 733 (1992)CrossRefGoogle Scholar
  7. 7.
    P. Varotsos, K. Alexopoulos, Phys. Rev. B 30, 7305 (1984)CrossRefGoogle Scholar
  8. 8.
    A. Chroneos, M.E. Fitzpatrick, L.H. Tsoukalas, J. Mater. Sci. Mater. Electron. 26, 3287 (2015)CrossRefGoogle Scholar
  9. 9.
    A. Chroneos, R.V. Vovk, J. Mater. Sci. Mater. Electron. 26, 2113 (2015)CrossRefGoogle Scholar
  10. 10.
    J. Philibert, Defect Diffus. Forum 249, 61 (2006)Google Scholar
  11. 11.
    P. Varotsos, K. Alexopoulos, Phys. Rev. B 15, 4111 (1977)CrossRefGoogle Scholar
  12. 12.
    P. Varotsos, K. Alexopoulos, Phys. Rev. B 15, 2348 (1977)CrossRefGoogle Scholar
  13. 13.
    P. Varotsos, K. Alexopoulos, Phys. Rev. B 22, 3130 (1980)CrossRefGoogle Scholar
  14. 14.
    P. Varotsos, K. Alexopoulos, Thermodynamics of Point Defects and Their Relation with the Bulk Properties (North-Holland, Amsterdam, 1986)Google Scholar
  15. 15.
    P. Varotsos, J. Appl. Phys. 101, 123503 (2007)CrossRefGoogle Scholar
  16. 16.
    P. Varotsos, Solid State Ion. 179, 438 (2008)CrossRefGoogle Scholar
  17. 17.
    B.H. Zhang, X.P. Wu, Appl. Phys. Lett. 100, 051901 (2012)CrossRefGoogle Scholar
  18. 18.
    F. Vallianatos, V. Saltas, Phys. Chem. Miner. 41, 181 (2014)CrossRefGoogle Scholar
  19. 19.
    P. Varotsos, K. Alexopoulos, Phys. Stat. Sol. B 110, 9 (1982)CrossRefGoogle Scholar
  20. 20.
    I. Sakelis, J. Appl. Phys. 112, 013504 (2012)CrossRefGoogle Scholar
  21. 21.
    E.S. Skordas, Solid State Ion. 261, 26 (2014)CrossRefGoogle Scholar
  22. 22.
    A. Chroneos, R.V. Vovk, Mater. Sci. Semicond. Proc. 36, 179 (2015)CrossRefGoogle Scholar
  23. 23.
    Α. Chroneos, R.V. Vovk, J. Mater. Sci. Mater. Electron. 26, 3787 (2015)CrossRefGoogle Scholar
  24. 24.
    Α. Chroneos, Y. Panayiotatos, R.V. Vovk, J. Mater. Sci. Mater. Electron. 26, 2693 (2015)CrossRefGoogle Scholar
  25. 25.
    H.H. Silvestri, H. Bracht, J.L. Hansen, A.N. Larsen, E.E. Haller, Semicond. Sci. Technol. 21, 758 (2006)CrossRefGoogle Scholar
  26. 26.
    S. Brotzmann, H. Bracht, J. Lundsgaard Hansen, A. Nylandsted Larsen, E. Simoen, E.E. Haller, J.S. Christensen, P. Werner, Phys. Rev. B 77, 235207 (2008)CrossRefGoogle Scholar
  27. 27.
    A. Chroneos, D. Skarlatos, C. Tsamis, A. Christofi, D.S. McPhail, R. Hung, Mater, Sci. Semicond. Proc. 9, 640 (2006)CrossRefGoogle Scholar
  28. 28.
    R. Kube, H. Bracht, A. Chroneos, M. Posselt, B. Schmidt, J. Appl. Phys. 106, 063534 (2009)CrossRefGoogle Scholar
  29. 29.
    A. Chroneos, H. Bracht, Appl. Phys. Rev. 1, 011301 (2014)CrossRefGoogle Scholar
  30. 30.
    T.S. Lundy, J.F. Murdock, J. Appl. Phys. 33, 1671 (1962)CrossRefGoogle Scholar
  31. 31.
    A.S. Berger, S.T. Ockers, M.K. Chason, R.W. Siegel, J. Nucl. Mater. 69–70, 734 (1978)CrossRefGoogle Scholar
  32. 32.
    B. Grabowski, T. Hickel, J. Neugebauer, Phys. Rev. B 76, 024309 (2007)CrossRefGoogle Scholar
  33. 33.
    P. Varotsos, J. Appl. Phys. 105, 083524 (2009)CrossRefGoogle Scholar
  34. 34.
    M. Mantina, Y. Wang, R. Arroyave, L.Q. Chen, Z.K. Liu, C. Wolverton, Phys. Rev. Lett. 100, 215901 (2008)CrossRefGoogle Scholar
  35. 35.
    J.N. Mundy, Phys. Rev. B 3, 2431 (1971)CrossRefGoogle Scholar
  36. 36.
    K. Eftaxias, V. Hadjicontis, Phys. Stat. Sol. B 160, K9 (1990)CrossRefGoogle Scholar
  37. 37.
    R.C.G. Killean, E.J. Lisher, J. Phys. C 8, 3510 (1975)CrossRefGoogle Scholar
  38. 38.
    B.H. Zhang, X.P. Wu, J.S. Xu, R.L. Zhou, J. Appl. Phys. 108, 053505 (2010)CrossRefGoogle Scholar
  39. 39.
    B.H. Zhang, X.P. Wu, R.L. Zhou, Solid State Ion. 186, 20 (2011)CrossRefGoogle Scholar
  40. 40.
    E. Dologlou, J. Appl. Phys. 110, 036103 (2011)CrossRefGoogle Scholar
  41. 41.
    B.H. Zhang, X.P. Wu, Chin. Phys. B 22, 056601 (2013)CrossRefGoogle Scholar
  42. 42.
    B.H. Zhang, AIP Adv. 4, 017128 (2014)CrossRefGoogle Scholar
  43. 43.
    A. Chroneos, R.V. Vovk, Solid State Ion. 274, 1 (2015)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • E. Ganniari-Papageorgiou
    • 1
  • M. E. Fitzpatrick
    • 1
  • A. Chroneos
    • 1
    • 2
    Email author
  1. 1.Faculty of Engineering and ComputingCoventry UniversityCoventryUK
  2. 2.Department of MaterialsImperial College LondonLondonUK

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