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The Mathematics and Topology of Fullerenes

  • Book
  • © 2011

Overview

Editors:
  1. Franco Cataldo

    1. , Dept. of Materials Science, Tor Vergata University, Rome, Italy

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  2. Ante Graovac

    1. Faculty of Science, University of Split, Split, Croatia

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    You can also search for this editor in PubMed   Google Scholar

  3. Ottorino Ori

    1. Actinium Chemical Research, Rome, Italy

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    You can also search for this editor in PubMed   Google Scholar

  • Contains a detailed atlas of Kekule structures of Buckminsterfullerene
  • Presents experimental and theoretical contributions
  • Foreword by Harry Kroto, Nobel Laureate

Part of the book series: Carbon Materials: Chemistry and Physics (CMCP, volume 4)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Omega Polynomials of Fullerenes and Nanotubes

    • Ali Reza Ashrafi, Modjtaba Ghorbani, Mircea V. Diudea, Ante Graovac
    Pages 1-19

  3. Wiener Index of Nanotubes, Toroidal Fullerenes and Nanostars

    • Ali Reza Ashrafi
    Pages 21-38

  4. C60 Structural Relatives – An Omega-Aided Topological Study

    • Aniela E. Vizitiu, Mircea V. Diudea
    Pages 39-60

  5. Local Combinatorial Characterization of Fullerenes

    • Tamás Réti, István László, Ante Graovac
    Pages 61-83

  6. Computation of Some Topological Indices of C60 and C80 Fullerenes by GAP Program

    • Ali Iranmanesh
    Pages 85-101

  7. 4-Regular and Self-Dual Analogs of Fullerenes

    • Mathieu Dutour Sikirić, Michel Deza
    Pages 103-116

  8. Endohedral Fullerene Complexes and In-Out Isomerism in Perhydrogenated Fullerenes

    • Helena Dodziuk
    Pages 117-151

  9. Detailed Atlas of Kekulé Structures of the Buckminsterfullerene

    • Damir Vukičević, Milan Randić
    Pages 153-169

  10. A Graph Theoretic Approach to Atomic Displacements in Fullerenes

    • Ernesto Estrada, Naomichi Hatano, Adelio R. Matamala
    Pages 171-185

  11. Counting Spanning Trees in Toroidal Fullerenes

    • E.C. Kirby, R.B. Mallion, P. Pollak
    Pages 187-204

  12. Topological Determination of 13C–NMR Spectra of C66 Fullerenes

    • Ottorino Ori, Franco Cataldo, Damir Vukičević, Ante Graovac
    Pages 205-216

  13. The Topological Background of Schwarzite Physics

    • Giorgio Benedek, Marco Bernasconi, Eugenio Cinquanta, Luca D’Alessio, Marzio De Corato
    Pages 217-247

  14. High π-Electronic Stability of Soccer Ball Fullerene C60 and Truncated Octahedron C24 Among Spherically Polyhedral Networks

    • Haruo Hosoya
    Pages 249-263

  15. The Estrada Index and Fullerene Isomerism

    • Patrick W. Fowler, Ante Graovac
    Pages 265-280

  16. Back Matter

    Pages 281-289
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Keywords

About this book

The Mathematics and Topology of Fullerenes presents a comprehensive overview of scientific and technical innovations in theoretical and experimental studies.

Topics included in this multi-author volume are: Clar structures for conjugated nanostructures; counting polynomials of fullerenes; topological indices of fullerenes; the wiener index of nanotubes; toroidal fullerenes and nanostars; C60 Structural relatives: a topological study; local combinatorial characterization of fullerenes; computation of selected topological indices of C60 and C80 Fullerenes via the Gap Program; 4valent- analogues of fullerenes; a detailed atlas of Kekule structures of C60.

The Mathematics and Topology of Fullerenes is targeted at advanced graduates and researchers working in carbon materials, chemistry and physics.

Editors and Affiliations

  • , Dept. of Materials Science, Tor Vergata University, Rome, Italy

    Franco Cataldo

  • Faculty of Science, University of Split, Split, Croatia

    Ante Graovac

  • Actinium Chemical Research, Rome, Italy

    Ottorino Ori

About the editors

  • Prof. Franco CATALDO (Tor Vergata University, Rome), Editor of Springer book series on Carbon Materials: Chemistry and Physics
  • Prof. Ante GRAOVAC (Faculty of Science, University of Split, Split, Croatia)
  • Dr. Ottorino ORI (Correspondent Member, Actinium Chemical Research, Rome, Italy)

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