The Mathematics and Topology of Fullerenes

ISBN-13: 9789400735422 / Angielski / Miękka / 2014 / 289 str.

Franco Cataldo;Ante Graovac;Ottorino Ori

Opis

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.

Spis treści

Harry KROTO: Foreword.- 1. Ali Reza ASHRAFI/Mircea DIUDEA/Ante GRAOVAC: Omega Polynomials of Fullerenes and Nanotubes.- 2. Ali Reza ASHRAFI: Wiener Index of Nanotubes, Toroidal Fullerenes and Nanostars.- 3. Mircea DIUDEA/A. E. Vizitiu: C60 Structural Relatives. An Omega-aided Topological Study.- 4. Istvan LASZLO/Reti TAMAS/Ante GRAOVAC: Local Combinatorial Characterization of Fullerenes.- 5. Ali IRANMANESH: Computation of some Topological Indices of C60 and C80 Fullerenes by GAP Program.- 6. Mathieu Dutour SIKIRIC/Michel DEZA: 4-Regular and Self-Dual Analogs of Fullerenes.- 7. Helena DODZIUK: Endohedral fullerene complexes and in- out isomerism in perhydrogenated fullerenes. Why the carbon cages cannot be used as the hydrogen containers?.- 8. Damir VUKICEVIC/Milan RANDIC: Detailed Atlas of Kekulé Structures of the Buckminsterfullerene.- 9. Ernesto ESTRADA: A Graph Theoretic Approach to Atomic Displacements in Fullerenes.- 10.E.C. KIRBY/R.B. MALLION/P. POLLAK: Counting Spanning Trees in Toroidal Fullerenes.- 11. O.ORI, F.CATALDO, A.GRAOVAC: Topological Determination of 13C-NMR Spectra of C66 Fullerenes.- 12. Giorgio BENEDEK: The Topological Background of Schwarzite Physics.- 13. Haruo HOSOYA: High π-Electronic Stability of Soccer Ball Fullerene C60 and Truncated Octahedron C24 among Spherically Polyhedral Networks.- 14. Patrick W. FOWLER/A.GRAOVAC: The Estrada Index and Fullerene Isomerism.

O autorze

• 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)

Blurb

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 include: 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.

 

This multi-author volume is targeted at advanced graduates and researchers working in carbon materials, chemistry and physics.