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Connectivity of CSL grain boundaries and the role of deviations from exact coincidence

  • Christopher A. Schuh , Mukul Kumar EMAIL logo and Wayne E. King
Published/Copyright: January 11, 2022
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 94 Issue 3

Abstract

The practical classification of grain boundaries as coincidence site lattice (CSL) boundaries requires the use of an acceptance criterion, of which the classical Brandon criterion is the most commonly used. In this work, we consider the role of the acceptance criterion on the grain boundary character distribution, triple junction distribution, and the boundary clustering behavior in nine experimental microstructures. The Brandon criterion is directly compared with the Palumbo – Aust criterion, which is more restrictive in the allowable deviations from exact CSL misorientation. Although the latter criterion causes changes in the CSL fraction, the triple junction distributions, and the cluster characteristics of the experimental microstructures, these changes are all mutually commensurate. The essential features of boundary connectivity are therefore not fundamentally affected by the choice of a CSL acceptance criterion.

Keywords: Grain boundary network connectivity; Coincidence site lattice model; Brandon criterion; Palumbo – Aust criterion
Dr. M. Kumar Lawrence Livermore National Laboratory University of Califormia 7000 East Avenue, M/S L – 356 Livermore, CA 94550, USA Tel.: +1 925 422 0600 Fax: +1 925 424 4289
Dedicated to Professor Dr. Dr. h. c. Manfred Rühle on the occasion of his 65th birthday

Funding statement: This work was performed under the auspices of the U. S. Department of Energy by the University of California, Lawrence Livermore National Laboratory under Contract No. W-7405-Eng-48.

References

[1] A.P. Sutton, R.W. Balluffi: Interfaces in Crystalline Materials, Oxford Science Publication (1995).Search in Google Scholar

[2] G. Palumbo, K.T. Aust, in: D. Wolf; S. Yip (Eds.), Materials Interfaces, Chapman and Hall, London (1992).Search in Google Scholar

[3] T. Watanabe: Mater. Sci. Eng. A 166 (1993) 11.10.1016/0921-5093(93)90306-YSearch in Google Scholar

[4] T. Watanabe: J. Physique 46 (1985) C4.555.Search in Google Scholar

[5] D.G. Brandon: Acta Metall. 14 (1966) 1479.10.1016/0001-6160(66)90168-4Search in Google Scholar

[6] G. Palumbo, K.T. Aust: Acta Metall. Mater. 38 (1990) 2343.10.1016/0956-7151(90)90101-LSearch in Google Scholar

[7] M. Deschamps, F. Baribier, A. Marrouche: Acta Metall. 35 (1987) 101.10.1016/0001-6160(87)90217-3Search in Google Scholar

[8] A.J. Schwartz, W.E. King: JOM 50 (1998) 50.10.1007/s11837-998-0250-5Search in Google Scholar

[9] G. Palumbo, K.T. Aust, E.M. Lehockey, U. Erb, P. Lin: Scripta Mater. 38 (1998) 1685.10.1016/S1359-6462(98)00077-3Search in Google Scholar

[10] Y. Pan, B.L. Adams, T. Olson, N. Panayotou: Acta Mater. 44 (1996) 4685.10.1016/S1359-6454(96)00125-5Search in Google Scholar

[11] D.G. Brandon, B. Ralph, S. Ranganathan, M.S. Wald: Acta Metall. 12 (1964) 813.10.1016/0001-6160(64)90175-0Search in Google Scholar

[12] W.T. Read, W. Shockley: Phys. Rev. 78 (1950) 275.10.1103/PhysRev.78.275Search in Google Scholar

[13] S.H. Kim, U. Erb, K.T. Aust, G. Palumbo: Scripta Mater. 44 (2001) 835.10.1016/S1359-6462(00)00682-5Search in Google Scholar

[14] Y. Zhou, K.T. Aust, U. Erb, G. Palumbo: Scripta Mater. 45 (2001) 49.10.1016/S1359-6462(01)00990-3Search in Google Scholar

[15] V. Randle, P. Davies: Interface Sci. 7 (1999) 5.10.1023/A:1008734331685Search in Google Scholar

[16] V. Randle, P. Davies, B. Hulm: Phil. Mag. A 79 (1999) 305.10.1080/01418619908210299Search in Google Scholar

[17] C.B. Thomson, V. Randle: Acta Mater. 45 (1997) 4909.10.1016/S1359-6454(97)00192-4Search in Google Scholar

[18] V. Randle: JOM 50 (1998) 56.10.1007/s11837-998-0251-4Search in Google Scholar

[19] T. Watanabe: Mater. Sci. Eng. A 176 (1994) 39.10.1016/0921-5093(94)90957-1Search in Google Scholar

[20] G. Palumbo, P.J. King, K.T. Aust, U. Erb, P.C. Lichtenberger: Scripta Metall. Mater. 25 (1991) 1775.10.1016/0956-716X(91)90303-ISearch in Google Scholar

[21] V.Y. Gertsman, K. Tangri: Acta Mater. 45 (1997) 4107.10.1016/S1359-6454(97)00083-9Search in Google Scholar

[22] M. Kumar, W.E. King, A.J. Schwartz: Acta Mater. 48 (2000) 2081.10.1016/S1359-6454(00)00045-8Search in Google Scholar

[23] Palumbo, G.: U. S. Patent 5 817 193 (1998).Search in Google Scholar

[24] C.A. Schuh, M. Kumar, W.E. King: Acta Mater. 51 (2003) 687.10.1016/S1359-6454(02)00447-0Search in Google Scholar

[25] Y. Pan, B.L. Adams: Scripta Metall. Mater. 30 (1994) 1055.10.1016/0956-716X(94)90554-1Search in Google Scholar

[26] A. Morawiec, J.A. Szpunar, D.C. Hinz: Acta Metall. Mater. 41 (1993) 2825.10.1016/0956-7151(93)90097-CSearch in Google Scholar

[27] C.B. Thomson, V. Randle: J. Mater. Sci. 32 (1997) 1909.10.1023/A:1018573327408Search in Google Scholar

[28] V. Randle: Acta Mater. 47 (1999) 4187.10.1016/S1359-6454(99)00277-3Search in Google Scholar

[29] V.Y. Gertsman, M. Janecek, K. Tangri: Acta Mater. 44 (1996) 2869.10.1016/1359-6454(95)00396-7Search in Google Scholar

[30] M. Kumar, A.J. Schwartz, W.E. King: Acta Mater. 50 (2002) 2599.10.1016/S1359-6454(02)00090-3Search in Google Scholar

[31] V.Y. Gertsman, K. Tangri: Acta Metall. Mater. 43 (1995) 2317.10.1016/0956-7151(94)00422-6Search in Google Scholar

[32] V. Randle, P. Davies, in: T. Sakai; H.G. Suzuki (Ed.), Fourth Int. Conf. on Recrystallization and Related Phenomena, The Japan Institute of Metals, Sendai (1999) 501.Search in Google Scholar

[33] R. Minich, C.A. Schuh, M. Kumar: Physical Rev. B 66, (2002) 052101.10.1103/PhysRevB.66.052101Search in Google Scholar

[34] B. Alexandreanu, B. Capell, G.S. Was: Mater. Sci. Eng. A 300 (2001) 94.10.1016/S0921-5093(00)01705-6Search in Google Scholar

[35] D. Stauffer, A. Aharony: Introduction to Percolation Theory, Taylor and Francis, London (1992).Search in Google Scholar

[36] C.A. Schuh, R.W. Minich, M. Kumar: Philos. Mag. A 83 (2002) 711.10.1080/0141861021000056681Search in Google Scholar
Received: 2002-09-22
Published Online: 2022-01-11

© 2003 Carl Hanser Verlag, München

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  2. Editorial
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  6. Phase stability of Y + Gd co-doped zirconia
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  18. Never ending saga of a simple boundary
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  20. Microstructure of Cu2O/Si interfaces, made by epitaxial electrodeposition
  21. Metal/oxide interfaces and their reaction with hydrogen
  22. Amorphous films at metal/ceramic interfaces
  23. Some thoughts on source monochromation and the implications for electron energy loss spectroscopy
  24. Determination of the contrast transfer function by analysing diffractograms of thin amorphous foils
  25. Progress in the preparation of cross-sectional TEM specimens by ion-beam thinning
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  33. Notifications/Mitteilungen
  34. Personal/Personelles
  35. Gesellschaftsnachricht
  36. International Conferences
https://doi.org/10.3139/ijmr-2003-0058
Keywords for this article
Grain boundary network connectivity; Coincidence site lattice model; Brandon criterion; Palumbo – Aust criterion

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. Editorial
  4. Articles/Aufsätze
  5. The role of oxidation-induced cavities on the failure of the thermally grown oxide on binary β-NiAl alloys
  6. Phase stability of Y + Gd co-doped zirconia
  7. Mechanisms governing the distortion of alumina-forming alloys upon cyclic oxidation
  8. High-temperature oxidation of FeCrAl alloys: the effect of Mg incorporation into the alumina scale
  9. Nonlinear dielectric properties at oxide grain boundaries
  10. TEM observations of singular grain boundaries and their roughening transition in TiO2-excess BaTiO3
  11. Processing of dense MgO substrates for high-temperature superconductors
  12. Microwave-induced crystallization of polysilazane-derived silicon carbonitride
  13. Schottky barrier formation in liquid-phase-sintered silicon carbide
  14. SrTiO3: a model electroceramic
  15. Optical properties and electronic structure of oxidized and reduced single-crystal strontium titanate
  16. Spreading of liquid Ag and Ag–Mo alloys on molybdenum substrates
  17. Nanoalloying in mixed AgmAun nanowires
  18. Never ending saga of a simple boundary
  19. Comparison of interfacial chemistry at Cu/α-alumina and Cu/γ-alumina interfaces
  20. Microstructure of Cu2O/Si interfaces, made by epitaxial electrodeposition
  21. Metal/oxide interfaces and their reaction with hydrogen
  22. Amorphous films at metal/ceramic interfaces
  23. Some thoughts on source monochromation and the implications for electron energy loss spectroscopy
  24. Determination of the contrast transfer function by analysing diffractograms of thin amorphous foils
  25. Progress in the preparation of cross-sectional TEM specimens by ion-beam thinning
  26. Quantification of interfacial segregation by analytical electron microscopy
  27. Quantification of elemental segregation to lath and grain boundaries in low-alloy steel by STEM X-ray mapping combined with the ζ-factor method
  28. Microstructure of Al/Ti metallization layers
  29. Connectivity of CSL grain boundaries and the role of deviations from exact coincidence
  30. Effect of laser shock processing on the microstructure and mechanical properties of pure Cu
  31. Growth and microstructure of iron nitride layers and pore formation in ε-Fe3N
  32. Phase diagram of the Al–Cu–Fe quasicrystal-forming alloy system
  33. Notifications/Mitteilungen
  34. Personal/Personelles
  35. Gesellschaftsnachricht
  36. International Conferences
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