Topological Modelling of Nanostructures and Extended Systems

  • Ali Reza Ashrafi
  • Franco Cataldo
  • Ali Iranmanesh
  • Ottorino Ori

Part of the Carbon Materials: Chemistry and Physics book series (CMCP, volume 7)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Elton J. G. Santos, Andrés Ayuela, Daniel Sánchez-Portal
    Pages 41-76
  3. Hui Zeng, Jun Zhao, Jianwei Wei, Jean-Pierre Leburton
    Pages 77-103
  4. Marzio De Corato, Marco Bernasconi, Luca D’Alessio, Ottorino Ori, Mihai V. Putz, Giorgio Benedek
    Pages 105-136
  5. Mihai V. Putz, Marzio De Corato, Giorgio Benedek, Jelena Sedlar, Ante Graovac, Ottorino Ori
    Pages 229-244
  6. Mircea V. Diudea, Beata Szefler
    Pages 245-264
  7. Mihai V. Putz, Ottorino Ori, Marzio De Corato, Ana-Maria Putz, Giorgio Benedek, Franco Cataldo et al.
    Pages 265-286
  8. István László, Ante Graovac, Tomaž Pisanski
    Pages 287-302
  9. Massimo Fusaro, Vincenzo Barone, Mauro Causa, Maddalena D’Amore, Carmine Garzillo
    Pages 303-323
  10. Ali Reza Ashrafi, Mohammad Ali Iranmanesh, Zahra Yarahmadi
    Pages 473-485
  11. Ali Reza Ashrafi, Zeinab Mehranian
    Pages 487-510
  12. Back Matter
    Pages 561-575

About this book


Topological Modelling of Nanostructures and Extended Systems completes and expands upon the previously published title within this series: The Mathematics and Topology of Fullerenes (Vol. 4, 2011) by gathering the latest research and advances in materials science at nanoscale. It introduces a new speculative area and novel concepts like topochemical reactions and colored reactive topological indices and provides a better understanding of the physical-chemical behaviors of extended systems. Moreover, a charming new family of space-filling fullerenic crystals is here analyzed for the first time.Particular attention is given to the fundamental influences exercised by long-range connectivity topological mechanisms on the chemical and physical properties of carbon nanostructures. Systems consisting in graphenic layers with structural and topological defects are investigated in their electronic and magnetic behaviors also in presence of metallic particles.
More specifically, the book focuses on: 
· Electronic Properties of low dimensional nanostructures including negatively-curved carbon surfaces;­ Pariser-Parr-Pople model hamiltonian approach to graphene studies;
·Topochemistry and Toporeactcivity of extended sp2-nanocarbons: PAH, fullerenes, nanoribbons, Moebius-like nanoribbons, nanotubes and grapheme;
·Novel class of crystal networks arising from spanning fullerenes;
·Nanostructures and eigenvectors of matrices and an extended treatise of topological invariants;
·Enumeration hetero-fullerenes by Polya theory.
Topological Modelling of Nanostructures and Extended Systems represents a valuable resource to advances graduates and researchers working in mathematics, chemistry, physics and material science.


Fullerenes Graphenic Systems Spintronics Topochemical Descriptors Topological Mechanisms Topological Modelling Topological Reactions

Editors and affiliations

  • Ali Reza Ashrafi
    • 1
  • Franco Cataldo
    • 2
  • Ali Iranmanesh
    • 3
  • Ottorino Ori
    • 4
  1. 1., Department of MathematicsUniversity of KashanKashanIran
  2. 2., Department of Materials ScienceTor Vergata UniversityRomeItaly
  3. 3., Department of MathematicsTarbiat Modares UniversityTehranIran
  4. 4.Actinium Chemical ResearchRomeItaly

Bibliographic information