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Orbital symmetry and superconductivity in carbides and borocarbides

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The Chemistry of Transition Metal Carbides and Nitrides

Abstract

The recent discovery of superconductivity in the quaternary borocarbides LnNi2B2C has generated a lot of interest in similar borocarbides, both for their potential applications as well as for elucidating mechanisms of electron transport. However, superconductivity has long been recognized in various analogous lanthanide dicarbides. Both structures contain molecular anionic fragments, (C-C)n and (B-C-B) n , respectively, that interact with a metal framework. This contribution examines the orbital interactions within this class of extended solids, and discusses how orbital symmetry arguments provide a model for electronic instabilities in the superconducting carbides and borocarbides.

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References

  1. R. Hoffmann. Solids and Surfaces: A Chemist’s View of Bonding in Extended Structures, (VCH Publishers, New York, 1988).

    Google Scholar 

  2. J.K. Burdett. Prog. Solid State Chem., 15, 173 (1984).

    Article  CAS  Google Scholar 

  3. H.G. von Schnering. Angew. Chem., 93, 44 (1981)

    Article  Google Scholar 

  4. H.G. von Schnering. Angew. Chem. Int. Ed. Engl. 20, 33 (1981).

    Article  Google Scholar 

  5. T.A. Albright, J.K. Burdett and M.-H. Whangbo. Orbital Interactions in Chemistry, (Wiley-Interscience, New York, 1985).

    Google Scholar 

  6. R. Hoffmann and W.N. Lipscomb. J. Chem. Phys., 36, 2179, 3489 (1962).

    Article  CAS  Google Scholar 

  7. R. Hoffmann. J. Chem. Phys., 39, 1397 (1963).

    Article  CAS  Google Scholar 

  8. J.H. Ammeter, H.-B. Bürgi, J.C. Thibeault and R. Hoffmann. J. Am. Chem. Soc., 100, 3686 (1978).

    Article  CAS  Google Scholar 

  9. M.-H. Whangbo, R. Hoffmann and R.B. Woodward. Proc. Roy. Soc., A366, 23 (1979).

    Google Scholar 

  10. J.C. Slater. Phys. Rev., 36, 57 (1930).

    Article  CAS  Google Scholar 

  11. M. Wolfsberg and L. Helmholz. J. Chem. Phys., 20, 837 (1952).

    Article  CAS  Google Scholar 

  12. C.E. Moore. Ionization Potentials and Ionization Limits Derived from the Analyses of Optical Spectra, NSRDS-NBS 34, (National Bureau of Standards, Washington, D.C., 1970).

    Google Scholar 

  13. C.J. Ballhausen and H.B. Gray. Molecular Orbital Theory, (W.A. Benjamin, Inc., New York, 1964).

    Google Scholar 

  14. T. Hughbanks and R. Hoffmann. J. Am. Chem. Soc., 105, 3528 (1983).

    Article  CAS  Google Scholar 

  15. S. Wijeyesekera and R. Hoffmann. Organometal., 3, 949 (1984).

    Article  CAS  Google Scholar 

  16. M.J. Lax. Symmetry Principles in Solid State and Molecular Physics, (Wiley, New York, 1974).

    Google Scholar 

  17. P. Villars and L.D. Calvert. Pearson’s Handbook of Crystallographic Data for Intermetallic Phases, 2nd Ed., (ASM International, Metals Park, OH, 1991).

    Google Scholar 

  18. J.K. Burdett. Molecular Shapes, (Wiley Interscience, New York, 1980).

    Google Scholar 

  19. R. Pöttgen and W. Jeitschko. Inorg. Chem., 30, 427 (1991).

    Article  Google Scholar 

  20. J. Bauer, M. Potel, P. Gougeon, J. Padiou and H. Noël. In: Proc. of the IXth Int. Conf. on Solid Compounds of Transition Elements, (Royal Soc. of Chem. Dalton Div., Oxford, 1988).

    Google Scholar 

  21. J.-F. Halet, J.-Y. Saillard and J. Bauer. J. Less-Common Met., 158, 239 (1990).

    Article  CAS  Google Scholar 

  22. J. Bauer and O. Bars. J. Less-Common Met., 95, 267 (1983).

    Article  CAS  Google Scholar 

  23. D. Emin, T. Aselage, A.G. Switendick, B. Morosin and C.L. Beckel. Eds. Boron-Rich Solids; AIP Conference Proceedings 231, (Amer. Inst. Physics, New York, 1991).

    Google Scholar 

  24. P. Rogl and P. Fischer. J. Solid State Chem., 78, 294 (1989).

    Article  CAS  Google Scholar 

  25. P. Rogl and P. Fischer. J. Solid State Chem., 90, 285 (1991).

    Article  CAS  Google Scholar 

  26. R.J. Cava, H. Takagi, H.W. Zandbergen, J.J. Krajewski, W.F. Peck, Jr., T. Siegrist, B. Batlogg, R.B. van Dover, R.J. Felder, K. Mizuhashi, J.O. Lee, H. Eisaki and S. Uchida. Nature, 367, 252 (1994).

    Article  CAS  Google Scholar 

  27. T. Siegrist, H.W. Zandbergen, R.J. Cava, J.J. Krajewski, W.F. Peck, Jr. Nature, 367, 254 (1994).

    Article  CAS  Google Scholar 

  28. T. Siegrist, R.J. Cava, J.J. Krajewski and W.F. Peck, Jr. J. Alloys Comp., 216, 135 (1994).

    Article  CAS  Google Scholar 

  29. B.M. Gimarc. J. Am. Chem. Soc., 105, 1979 (1983).

    Article  CAS  Google Scholar 

  30. G.-Y. Adachi, N. Imanaka and Z. Fuzhong. Handbook on the Physics and Chemistry of Rare Earths, Vol. 15. K.A. Gschneidner, Jr. and L. Eyring, Eds. (Elsevier, Amsterdam, 1991), 61.

    Google Scholar 

  31. A. Simon, H. Mattausch, R. Eger and R.K. Kremer. Angew. Chem., 103, 1210 (1991)

    Article  CAS  Google Scholar 

  32. A. Simon, H. Mattausch, R. Eger and R.K. Kremer. Angew. Chem. Int. Ed. Engl., 30, 1188 (1991).

    Article  Google Scholar 

  33. G.J. Miller. J. Am. Chem. Soc., 116, 6332 (1994).

    Google Scholar 

  34. J.R. Long, J.-F. Halet, J.-Y. Saillard, R. Hoffmann and H.-J. Meyer. New J. Chem., 16, 839 (1992).

    CAS  Google Scholar 

  35. G.J. Miller, J.K. Burdett, C. Schwarz and A. Simon. Inorg. Chem., 25, 4437 (1986).

    Article  CAS  Google Scholar 

  36. L.F. Mattheiss. Phys. Rev. B, 49, 13279 (1994).

    Article  CAS  Google Scholar 

  37. T.M. Rice. Z. Phys. B, 67, 141 (1987).

    Article  Google Scholar 

  38. W.E. Pickett. Rev. Mod. Phys. 61, 433 (1989).

    Article  CAS  Google Scholar 

  39. L.F. Mattheiss and D.R. Hamann. Phys. Rev. B, 40, 2217 (1989).

    Article  CAS  Google Scholar 

  40. J.K. Burdett. J. Solid State Chem., 100, 393 (1992).

    Article  CAS  Google Scholar 

  41. N.W. Ashcroft and N.D. Mermin. Solid State Physics, (Saunders College, Philadelphia, 1976) Ch. 34.

    Google Scholar 

  42. J. Callaway. Quantum Theory of the Solid State, Student Ed., (Academic Press, London, 1974) 662–697.

    Google Scholar 

  43. W.L. McMillan. Phys. Rev. 167, 331 (1968).

    Article  CAS  Google Scholar 

  44. L.E. Toth. Transition Metal Carbides and Nitrides, (Academic Press, New York, 1971) 215.

    Google Scholar 

  45. V.A. Gubanov, A.L. Ivanovsky and V.P. Zhukov. Electronic Structure of Refractory Carbides and Nitrides, (Cambridge University Press, Cambridge, 1994) 11.

    Book  Google Scholar 

  46. P.B. Allen and R.C. Dynes. Phys. Rev. B, 12, 905 (1975).

    Article  CAS  Google Scholar 

  47. K.H. Johnson and R.P. Messmer. Synth. Met. 5, 151 (1983).

    Article  CAS  Google Scholar 

  48. J.R. Long, H.-J. Meyer and R. Hoffman. Inorg. Chem., 31, 1734 (1992).

    Article  CAS  Google Scholar 

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© 1995 Chapman & Hall

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Miller, G.J. (1995). Orbital symmetry and superconductivity in carbides and borocarbides. In: Oyama, S.T. (eds) The Chemistry of Transition Metal Carbides and Nitrides. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1565-7_7

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  • DOI: https://doi.org/10.1007/978-94-009-1565-7_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7199-4

  • Online ISBN: 978-94-009-1565-7

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