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Theoretical Investigation of Interfaces

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Materials for Tomorrow

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 93))

Summary

The proper treatment of defects is one of the major tasks in materials design, because defects are responsible for the either desirable or detrimental deviations between the characteristics of the material to be tuned and the well-known properties of an ideal crystal. Microelectronic devices work because of clever point defect engineering, line defects govern plastic deformation processes, and interfaces determine the mechanical stability of composite materials. Especially interfaces gain importance with the current trend towards nanoscale materials; first, the surface-to-volume ratio is strongly increased in nanocrystalline material, and, second, stable arrangements of point or line defects require a minimum crystallite size, which can be larger than the actual nanocrystallites. Thus, the present chapter gives an introduction into the most common approaches for modeling interface properties. We introduce the basic concepts of interface symmetry, structure and analysis with a strong focus on the theoretical methods and give an overview of currently available techniques for the modeling and simulation of the interface properties at an atomic-scale level. Two fundamentally different interface types are distinguished: The discussion of the homophase boundary properties is focussed on oxide grain boundaries, which we studied extensively in comparison with amply available experimental observations. For the heterophase boundaries examples of non-reactive, reactively doped, and inherently reactive boundaries are presented. A special focus lies on the interfaces between metals and oxides where the discrepancy of the material properties across the interface is most prominent and all three bonding situations can occur: weak adhesion between inert fragments, activated adhesion upon doping, and strong adhesion.

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References

  1. A.P. Sutton, R.W. Balluffi: Interfaces in Crystalline Materials (Clarendon Press, Oxford 1995)

    Google Scholar 

  2. S. Hutt, S. Köstlmeier, C. Elsässer: J. Phys.: Condens. Matter 13, 3949 (2001)

    CAS  Google Scholar 

  3. S. Gemming, M. Schreiber: Chem. Phys. 309, 3 (2005)

    CAS  Google Scholar 

  4. S. Köstlmeier, C. Elsässer: Interface Science 8, 41 (2000)

    Google Scholar 

  5. S. Köstlmeier, C. Elsässer, B. Meyer, M.W. Finnis: Mat. Res. Soc. Symp. Proc. 492, 97 (1998)

    Google Scholar 

  6. S. Köstlmeier, C. Elsässer, B. Meyer, M.W. Finnis: phys. stat. sol. (a) 166, 417 (1998)

    Google Scholar 

  7. S. Köstlmeier, C. Elsässer: J. Phys.: Condens. Matter 12, 1209 (2000)

    Google Scholar 

  8. C. Elsässer, S. Köstlmeier-Gemming: Phys. Chem. Chem. Phys. 3, 5140 (2001)

    Google Scholar 

  9. S. Köstlmeier, C. Elsässer: Mat. Res. Soc. Symp. Proc. 586, M3.1 (1999)

    Google Scholar 

  10. I. Levin, D. Brandon: J. Am. Ceram. Soc. 81, 1995 (1998)

    CAS  Google Scholar 

  11. S. Nufer, A.G. Marinopoulos, T. Gemming, W. Kurtz, C. Elsässer, S. Köstlmeier, M. Rühle: Phys. Rev. Lett. 86, 5066 (2001)

    CAS  Google Scholar 

  12. P.A. Stampe, R.J. Kennedy, Y. Xin, J.S. Parker, J. Appl. Phys. 93, 7864 (2003)

    CAS  Google Scholar 

  13. R. Schweinfest, S. Köstlmeier, F. Ernst, C. Elsässer, T. Wagner, M.W. Finnis: Phil. Mag. A 81, 927 (2000)

    Google Scholar 

  14. S. Köstlmeier, C. Elsässer, B. Meyer: Ultramicrosc. 80, 145 (1999)

    Google Scholar 

  15. R.F.W. Bader: Intern. Series of Monographs on Chemistry 22 (Clarendon Press, Oxford 1990)

    Google Scholar 

  16. X. Gonze: Phys. Rev. B 55, 10355 (1997)

    CAS  Google Scholar 

  17. A.G. Marinopoulos, S. Nufer, C. Elsässer: Phys. Rev. B 63, 165112 (2001)

    Google Scholar 

  18. V. Vitek, G. Gutekunst, J. Mayer, M. Rühle: Phil. Mag. A 71, 1219 (1996)

    Google Scholar 

  19. A. Trampert, F. Ernst, C.P. Flynn, H.F. Fischmeister and M. Rühle: Acta Metall. Mater. 40, S227 (1992)

    CAS  Google Scholar 

  20. S.J. Bennison, M.P. Harmer: A History of the Role of MgO in the Sintering of α-Al2O3, in: Sintering of Advanced Ceramics, ed. by C.A. Handwerker, J.E. Blendell (The American Ceramic Society, Westerville OH 1989)

    Google Scholar 

  21. P.O. Hanson, F. Ernst: J. Appl. Phys. 72, 2083 (1992)

    Google Scholar 

  22. J. Bardeen: Phys. Rev. 71, 717 (1947)

    Google Scholar 

  23. U. Schoenberger, O.K. Andersen, M. Methfessel: Acta Metall. Mater. 40, S1 (1992)

    CAS  Google Scholar 

  24. J.R. Smith, T. Hong, D.J. Srolovitz: Phys. Rev. Lett. 72, 4021 (1994)

    CAS  Google Scholar 

  25. C. Li, R. Wu, A.J. Freeman, C.L. Fu: Phys. Rev. B 48, 8317 (1993)

    CAS  Google Scholar 

  26. K. Kruse, M.W. Finnis, J.S. Lin, M.C. Payne, V.Y. Milman, A. DeVita, M.J. Gillan: Phil. Mag. Lett. 73, 377 (1996)

    CAS  Google Scholar 

  27. A. Horsfield, H. Fujitani: Phys. Rev. B 63, 235303 (2001)

    Google Scholar 

  28. B.D. Yu, Y. Miyamoto, O. Sugino, A. Sakai, T. Sasaki, T. Ohno: J. Vac. Sci. Technol. B 19, 1180 (2001)

    CAS  Google Scholar 

  29. B.S. Kang, S.K. Oh, H.J. Kang, K.S. Sohn: J. Phys.: Condens. Matter 15, 67 (2003)

    CAS  Google Scholar 

  30. A. Szabo, N.S. Ostlund: Modern Quantum Chemistry, Introduction to Advanced Electronic Structure Theory (McGraw — Hill, New York 1989)

    Google Scholar 

  31. A.M. Stoneham, P.W. Tasker: J. Phys. C: Solid State Phys. 18, L543 (1985)

    CAS  Google Scholar 

  32. D.M. Duffy, J.H. Harding, A.M. Stoneham: Acta Metall. Mater. 40, S11 (1992)

    CAS  Google Scholar 

  33. D.M. Duffy, J.H. Harding, A.M. Stoneham: Phil. Mag. A 67, 865 (1993)

    CAS  Google Scholar 

  34. M.W. Finnis: Acta Metall. Mater. 40, S25 (1992)

    CAS  Google Scholar 

  35. A.M. Stoneham, P.W. Tasker: Phil. Mag. B 55, 237 (1987)

    CAS  Google Scholar 

  36. R.O. Jones, O. Gunnarsson: Rev. Mod. Phys. 61, 689 (1989)

    CAS  Google Scholar 

  37. H. Eschrig: The Fundamentals of Density Functional Theory (Edition am Gutenbergplatz, Leipzig 2003)

    Google Scholar 

  38. G. Onida, L. Reining, A. Rubio: Rev. Mod. Phys. 74, 601 (2002)

    CAS  Google Scholar 

  39. R.M. Dreizsler, E.K.U. Gross: Density Functional Theory (Springer, Berlin 1990)

    Google Scholar 

  40. R.G. Parr, W. Yang: Density-Functional Theory of Atoms and Molecules (Oxford University Press, New York 1989)

    Google Scholar 

  41. A.M. Stoneham, J.H. Harding: Nature Materials 2, 65 (2003)

    Google Scholar 

  42. M.W. Finnis: Interatomic Forces in Condensed Matter (Oxford University Press, Oxford 2003)

    Google Scholar 

  43. P. Hohenberg, W. Kohn: Phys. Rev. 136, B864 (1964)

    Google Scholar 

  44. M. Levy: Phys. Rev. A 26, 1200 (1982)

    CAS  Google Scholar 

  45. U. von Barth, L. Hedin: J. Phys. C 5, 1629 (1972)

    Google Scholar 

  46. N.D. Mermin: Phys. Rev. 137, A1441 (1965)

    Google Scholar 

  47. S.H. Vosko, L. Wilk, M. Nusair: Can. J. Phys. 58, 1200 (1980)

    CAS  Google Scholar 

  48. O. Gunnarson, M. Jonson, B.I. Lundqvist: Phys. Rev. B 20, 3136 (1979)

    Google Scholar 

  49. R. Car, M. Parrinello: Phys. Rev. Lett. 55, 2471 (1985)

    CAS  Google Scholar 

  50. N.W. Ashcroft, N.D. Mermin: Solid State Physics (Saunders College, Philadelphia PA 1976)

    Google Scholar 

  51. J.-M. Jancu, R. Scholz, F. Beltram, F. Bassani: Phys. Rev. B 57, 6493 (1998)

    CAS  Google Scholar 

  52. R. Scholz, J.-M. Jancu, F. Bassani: Mat. Res. Soc. Symp. Proc. 491, 383 (1998)

    CAS  Google Scholar 

  53. A. Di Carlo: Mat. Res. Soc. Symp. Proc. 491, 391 (1998)

    Google Scholar 

  54. C.Z. Wang, K.M. Ho, C.T. Chan: Phys. Rev. Lett. 70, 611 (1993)

    CAS  Google Scholar 

  55. P. Ordejón, D. Lebedenko, M. Menon: Phys. Rev. B 50, 5645 (1994)

    Google Scholar 

  56. M. Menon, K.R. Subbaswamy: Phys. Rev. B 55, 9231 (1997)

    CAS  Google Scholar 

  57. C.M. Goringe, D.R. Bowler, E. Hernandez: Rep. Prog. Phys. 60, 1447 (1997)

    CAS  Google Scholar 

  58. T.A. Niehaus, S. Suhai, F. Della Sala, P. Lugli, M. Elstner, G. Seifert, T. Frauenheim: Phys. Rev. B 63, 085108 (2001)

    Google Scholar 

  59. A. Di Carlo, M. Gheorghe, P. Lugli, M. Sternberg, G. Seifert, T. Frauenheim: Physica B 314, 86 (2002)

    Google Scholar 

  60. N.D. Lang, W. Kohn: Phys. Rev. B 7, 3541 (1973)

    CAS  Google Scholar 

  61. N.V. Smith, C.T. Chen, M. Weinert: Phys. Rev. B 40, 7565 (1989)

    CAS  Google Scholar 

  62. J. Purton, S.C. Parker, D.W. Bullett: J. Phys.: Condens. Matter 9, 5709 (1997)

    CAS  Google Scholar 

  63. M.S. Daw, M.I. Baskes: Phys. Rev. Lett. 50, 1285 (1983)

    CAS  Google Scholar 

  64. M.S. Daw, M.I. Baskes: Phys. Rev. B 29, 6443 (1984)

    CAS  Google Scholar 

  65. M.W. Finnis, J.E. Sinclair: Phil. Mag. A 50, 45 (1984)

    CAS  Google Scholar 

  66. J.A. Moriarty, R. Phillips: Phys. Rev. Lett. 66, 3036 (1990)

    Google Scholar 

  67. J. Tersoff: Phys. Rev. B 38, 9902 (1988)

    CAS  Google Scholar 

  68. T. Ochs, O. Beck, C. Elsässer, B. Meyer: Phil. Mag. A 80, 351 (2000)

    CAS  Google Scholar 

  69. J.H. Harding: Rep. Prog. Phys. 53, 1403 (1990)

    CAS  Google Scholar 

  70. B.G. Dick, A.W. Overhauser: Phys. Rev. 112, 90 (1958)

    CAS  Google Scholar 

  71. E. Heifets, E.A. Kotomin, R. Orlando: J. Phys.: Condens. Matter 8, 6577 (1996)

    CAS  Google Scholar 

  72. C. Elsässer, A.G. Marinopoulos: Acta Mater. 49, 2951 (2001)

    Google Scholar 

  73. A.G. Marinopoulos, C. Elsässer: Acta Mater. 48, 4375 (2000)

    CAS  Google Scholar 

  74. S. Fabris, A. Nufer, C. Elsässer, T. Gemming: Phys. Rev. B 66, 155415 (2002)

    Google Scholar 

  75. I. Dawson, P.D. Bristowe, M.-H. Lee, M.C. Payne, M.D. Segall, J.A. White: Phys. Rev. B 54, 13727 (1996)

    CAS  Google Scholar 

  76. S.B. Sinnott, R.F. Wood, S.J. Pennycook: Phys. Rev. B 61, 15645 (2000)

    CAS  Google Scholar 

  77. R. Astala, P.D. Bristowe: J. Phys.: Condens. Matter 14, L149 (2002)

    CAS  Google Scholar 

  78. R. Astala, P.D. Bristowe: J. Phys.: Condens. Matter 14, 13635 (2002)

    CAS  Google Scholar 

  79. R. Astala, P.D. Bristowe: J. Phys.: Condens. Matter 14, 6455 (2002)

    CAS  Google Scholar 

  80. R. Janisch, C. Elsässer: Phys. Rev. B 67, 224101 (2003)

    Google Scholar 

  81. G.-H. Lu, S. Deng, T. Wang: Phys. Rev. B 69, 134106 (2004)

    Google Scholar 

  82. W.R.L. Lambrecht, C. Amador, B. Segall: Phys. Rev. Lett. 68, 1363 (1992)

    CAS  Google Scholar 

  83. Z. Zhang, W. Sigle, F. Phillipp, M. Rühle: Science 302, 846 (2003)

    CAS  Google Scholar 

  84. S. Sturm, A. Recnik, C. Scheu, M. Ceh: J. Mater. Res. 15, 2131 (2000)

    CAS  Google Scholar 

  85. R. Siegl, M. Yan, V. Vitek: Mod. Simul. Mat. Sci. Eng. 5, 105 (1997)

    CAS  Google Scholar 

  86. D.I. Thomson, V. Heine, M.C. Payne, N. Marzari, M.W. Finnis: Acta Mater. 48, 3623 (2000)

    CAS  Google Scholar 

  87. M. Sternberg, W.R.L. Lambrecht, T. Frauenheim: Phys. Rev. B 56, 1568 (1997)

    CAS  Google Scholar 

  88. T. Sakurai, T. Sugano: J. Appl. Phys. 52, 2889 (1981)

    CAS  Google Scholar 

  89. D. Chen, X.L. Ma, Y.M. Wang, L. Chen: Phys. Rev. B 69, 155401 (2004)

    Google Scholar 

  90. R. Puthenkovilakam, E.A. Carter, J.P. Chang: Phys. Rev. B 69, 155329 (2004)

    Google Scholar 

  91. J.A. Floro, C.V. Thompson, R. Carel, P.D. Bristowe: J. Mater. Res. 9, 2411 (1994)

    CAS  Google Scholar 

  92. M. Weinert, R.E. Watson, J.W. Davenport, G.W. Fernando: Phys. Rev. B 39, 12585 (1989)

    CAS  Google Scholar 

  93. R.C. Longo, V.S. Stepanyuk, W. Hegert, A. Vega, L.J. Gallego, J. Kirschner: Phys. Rev. B 69, 073406 (2004)

    Google Scholar 

  94. J.E. Houston, J.M. White, P.J. Feibelman, D.R. Hamann: Phys. Rev. B 38, 12164 (1988)

    CAS  Google Scholar 

  95. R.E. Watson, M. Weinert, J.W. Davenport: Phys. Rev. B 35, 9284 (1987)

    CAS  Google Scholar 

  96. V. Kumar, K.H. Bennemann: Phys. Rev. B 28, 3138 (1983)

    CAS  Google Scholar 

  97. H.R. Gong, B.X. Liu: Appl. Phys. Lett. 83, 4515 (2003)

    CAS  Google Scholar 

  98. S. Narasimham: Phys. Rev. B 69, 045425 (2004)

    Google Scholar 

  99. P.J. Lin-Chung, T.L. Reinecke: J. Vac. Sci. Technol. 19, 443 (1981)

    CAS  Google Scholar 

  100. S. Das Sarma, A. Madhukar: J. Vac. Sci. Technol. 19, 447 (1981)

    Google Scholar 

  101. Y. Wei, M. Razeghi: Phys. Rev. B 69, 085316 (2004)

    Google Scholar 

  102. J.N. Schulman, T.C. McGill: J. Vac. Sci. Technol. 16, 1513 (1979)

    CAS  Google Scholar 

  103. A. Kley, J. Neugebauer: Phys. Rev. B 50, 8616 (1994)

    CAS  Google Scholar 

  104. W.R.L. Lambrecht, B. Segall: Phys. Rev. B 43, 7070 (1991)

    CAS  Google Scholar 

  105. R. Di Felice, J.E. Northrup: Phys. Rev. B 56, 9213 (1997)

    Google Scholar 

  106. K. Kunc, R.M. Martin: Phys. Rev. B 24, 3445 (1981)

    CAS  Google Scholar 

  107. L. Pizzagalli, G. Cicero, A. Catellani: Phys. Rev. B 68, 195302 (2003)

    Google Scholar 

  108. P. Cásek, S. Bouette-Russo, F. Finocchi, C. Noguera: Phys. Rev. B 69, 085411 (2004)

    Google Scholar 

  109. N. Sai, B. Meyer, D. Vanderbilt, Phys. Rev. Lett. 84, 5636 (2000)

    CAS  Google Scholar 

  110. R.R. Das, Y.I. Yuzyuk, P. Bhattacharya, V. Gupta, R.S. Katiyar: Phys. Rev. B 69, 132301 (2004)

    Google Scholar 

  111. R. Waser, A. Rüdiger: Nature Materials 3, 87 (2004)

    Google Scholar 

  112. M. Rühle, A.G. Evans: Progr. Mat. Sci. 33, 85 (1989)

    Google Scholar 

  113. G. Willmann, N. Schikora, R.P. Pitto: Bioceram. 15, 813 (1994)

    Google Scholar 

  114. A.M. Freborg, B.L. Ferguson, W.J. Brindley, G.J. Petrus: Mater. Sci. Eng. A 245, 182 (1998)

    Google Scholar 

  115. R. Benedek, M. Minkoff, L.H. Yang: Phys. Rev. B 54, 7697 (1996)

    CAS  Google Scholar 

  116. Y. Ikuhara, Y. Sugawara, I. Tanaka, P. Pirouz: Interface Science 5, 5 (1997)

    CAS  Google Scholar 

  117. J.-H. Cho, K.S. Kim, C.T. Chan, Z. Zhang: Phys. Rev. B 63, 113408 (2001)

    Google Scholar 

  118. C. Klein, G. Kresse, S. Surnev, F.P. Netzer, M. Schmidt, P. Varga: Phys. Rev. B 68, 235416 (2003)

    Google Scholar 

  119. D.A. Muller, D.A. Shashkov, R. Benedek, L.H. Yang, J. Silcox, D.N. Seidman: Phys. Rev. Lett. 80, 4741 (1998)

    CAS  Google Scholar 

  120. T. Ochs, S. Köstlmeier, C. Elsässer: Integr. Ferroelectr. 30, 251 (2001)

    Google Scholar 

  121. A. Zaoui: Phys. Rev. B 69, 115403 (2004)

    Google Scholar 

  122. M. Christensen, S. Dudiy, G. Wahnström: Phys. Rev. B 65, 045408 (2002)

    Google Scholar 

  123. M. Christensen, G. Wahnström: Phys. Rev. B 67, 115415 (2003)

    Google Scholar 

  124. J. Hartford: Phys. Rev. B 61, 2221 (2000)

    CAS  Google Scholar 

  125. L. Giordano, C. DiValentin, J. Goniakowski, G. Pacchioni: Phys. Rev. Lett. 92, 096105 (2004)

    Google Scholar 

  126. E. Saiz, A.P. Tomsia, R.M. Cannon: Acta Mater. 46, 2349 (1998)

    CAS  Google Scholar 

  127. J.A. Venables, G.D.T. Spiller, M. Hanbucken: Rep. Prog. Phys. 47, 399 (1984)

    Google Scholar 

  128. R. Schweinfest, Th. Wagner, F. Ernst: Annual Report to the VW Foundation on the Project Progress (Stuttgart, 1997)

    Google Scholar 

  129. R. Stadler, D. Vogtenhuber, R. Podloucky: Phys. Rev. B 60, 17112 (1999)

    CAS  Google Scholar 

  130. R. Stadler, R. Podloucky: Phys. Rev. B 62, 2209 (2000)

    CAS  Google Scholar 

  131. C. Rogero, C. Koitzsch, M.E. Gonzalez, P. Aebi, J. Cerda, J.A. Martin-Glago: Phys. Rev. B 69, 045312 (2004)

    Google Scholar 

  132. C.R. Ashman, C.J. Först, K. Schwarz, P.E. Blöchl: Phys. Rev. B 69, 075309 (2004)

    Google Scholar 

  133. H. Fujitani, Phys. Rev. B 57, 8801 (1998)

    CAS  Google Scholar 

  134. S. Walter, F. Blobner, M. Krause, S. Muller, K. Heinz, U. Starke: J. Phys.: Condens. Matter 15, 5207 (2003)

    CAS  Google Scholar 

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Gemming, S., Schreiber, M. (2007). Theoretical Investigation of Interfaces. In: Gemming, S., Schreiber, M., Suck, JB. (eds) Materials for Tomorrow. Springer Series in Materials Science, vol 93. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47971-0_4

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