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Chain carborane molecules

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Abstract

General formulae are introduced for counting the number of different isomers derived from linearly connecting n carboranes CB11H12 q(s), with q and s representing charge and spin. Interconnections are via the C-atom or the B-atom para to the C-atom. The mathematical simplicity of the argument is emphasized, and the possibility of having different numbers of unpaired electrons per carborane cage is noted to offer a substantial diversity of magnetic properties.

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References

  1. Muller J, Base K, Magnera TF, Michl J (1992) J Am Chem Soc 114:9721

    Article  Google Scholar 

  2. Oliva JM, Klein DJ, Schleyer PVR, Serrano-Andres L (2009) Pure Appl Chem 81:719

    Article  CAS  Google Scholar 

  3. Pólya G (1937) Acta Math 68:145. See english translation In: Pólya G, Read RC (1987) Combinatorial enumeration of groups, graphs and chemical compounds. Springer-Verlag, Berlin. Russian translation In: Gavrilov GP (ed) (1979) Perechislitel’nye Zadachi Kombinatornogo Analiza (Sbornik Perevodov) = Enumeration problems of combinatorial analysis (collection of translations), Mir, Moscow

  4. Redfield HG (1927) Am J Math 49:433

    Article  Google Scholar 

  5. Ruch E, Hässelbarth W, Richter B (1970) Theoret Chim Acta 19:288

    Article  CAS  Google Scholar 

  6. Burnside W (1955) Theory of groups of finite order, 2nd edn. Dover, New York

    Google Scholar 

  7. De Bruijn NG (1971) Niew Archief voor Wiskunde 19:89

    Google Scholar 

  8. Hässelbarth W, Ruch E, Klein DJ, Seligman TH (1980) J Math Phys 21:951

    Article  Google Scholar 

  9. Kerber A (1999) Enumeration under group action. Springer Verlag, Berlin

    Google Scholar 

  10. El-Basil S (1999) Combinatorial organic chemistry. Nova Sci, New York

    Google Scholar 

  11. Noelting ME (1894) Le Moniteur Sci 8:178

    Google Scholar 

  12. Losanitsch SM (1897) Chem Ber 30:1917

    Article  CAS  Google Scholar 

  13. Kauffmann H (1900) Chem Ber 33:2131

    Article  CAS  Google Scholar 

  14. Kauffmann H (1911) Die Valenzlehre. Verlag Ferdinand Enke, Stuttgart. See particularly the Sections #64: “Mathematische Formulierung der Isomerenzahl” and #65: “Isomerenzahlen in vernickelteren Fällen”

  15. Senior JK (1927) Chem Ber B 60:73

    Article  Google Scholar 

  16. Lunn AC, Senior JK (1929) J Phys Chem 33:1027

    Article  Google Scholar 

  17. Henze R, Blair C (1931) J Am Chem Soc 53:3042

    Article  CAS  Google Scholar 

  18. Henze R, Blair C (1931) J Am Chem Soc 53:3077

    Article  CAS  Google Scholar 

  19. Blair CM, Henze HR (1932) J Am Chem Soc 54:1098

    Article  CAS  Google Scholar 

  20. Blair CM, Henze HR (1932) J Am Chem Soc 54:1538

    Article  CAS  Google Scholar 

  21. Coffman DD, Blair CM, Henze HR (1933) J Am Chem Soc 55:252

    Article  CAS  Google Scholar 

  22. Henze HR, Blair CM (1933) J Am Chem Soc 55:680

    Article  CAS  Google Scholar 

  23. Dagotto E (1994) Rev Mod Phys 66:763

    Article  CAS  Google Scholar 

  24. Bytautas L, Klein DJ, Schmalz TG (2000) New J Chem 24:329

    Article  CAS  Google Scholar 

  25. Bytautas L, Klein DJ (1998) J Chem Inf Comput Sci 38:1063

    Article  CAS  Google Scholar 

  26. Bytautas L, Klein DJ (1999) Theor Chem Acc 101:371

    Article  CAS  Google Scholar 

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Acknowledgments

The authors acknowledge support (via grant BD-0894) from the Welch Foundation of Houston, Texas, and projects MODELICO-CM S2009ESP-1691 in Spain and FP7-ICT-2009-4-248909-LIMA and FP7-ICT-2009-4-248855-N4E from the European Commission.

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Correspondence to Douglas J. Klein.

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Rosenfeld, V.R., Oliva, J.M. & Klein, D.J. Chain carborane molecules. Monatsh Chem 143, 361–364 (2012). https://doi.org/10.1007/s00706-011-0689-x

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  • DOI: https://doi.org/10.1007/s00706-011-0689-x

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