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  • © 2018

Multi-shell Polyhedral Clusters

  • Focuses on theoretical methodologies for the design of multi-shell nanostructures
  • Includes a recent literature study
  • Heavily annotated with structures to facilitate learning and innovation

Part of the book series: Carbon Materials: Chemistry and Physics (CMCP, volume 10)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv
  2. Basic Chemical Graph Theory

    • Mircea Vasile Diudea
    Pages 1-21
  3. Operations on Maps

    • Mircea Vasile Diudea
    Pages 23-35
  4. Definitions in Polytopes

    • Mircea Vasile Diudea
    Pages 37-54
  5. Symmetry and Complexity

    • Mircea Vasile Diudea
    Pages 55-75
  6. Small Icosahedral Clusters

    • Mircea Vasile Diudea
    Pages 77-124
  7. Large Icosahedral Clusters

    • Mircea Vasile Diudea
    Pages 125-186
  8. Clusters of Octahedral Symmetry

    • Mircea Vasile Diudea
    Pages 187-245
  9. Tetrahedral Clusters

    • Mircea Vasile Diudea
    Pages 247-280
  10. C60 Related Clusters

    • Mircea Vasile Diudea
    Pages 281-334
  11. Chiral Multi-tori

    • Mircea Vasile Diudea
    Pages 335-362
  12. Spongy Hypercubes

    • Mircea Vasile Diudea
    Pages 363-384
  13. Energetics of Multi-shell Clusters

    • Mircea Vasile Diudea
    Pages 385-438
  14. Back Matter

    Pages 439-442

About this book

This volume presents new methodologies and rationalizes existing methods that are used in the design of multi-shell polyhedral clusters. The author describes how the methods used are extended from 2D-operations on maps to 3D (and higher dimensional) Euclidean space. A variety of structures is designed and described in detail and classified giving rise to an atlas of multi-shell nanostructures. The book therefore sheds a new light on the field of crystal and quasicrystal structures, an important part of nanoscience and nanotechnology. The author goes on to show how the recently established methods are used for building complex multi-shell nanostructures and how this completes the existing information in the field. The atlas of such structures is completed with atomic coordinates (included as supplementary material). The content of this book gives a useful insight into structure elucidation and suggests new material synthesis.

Authors and Affiliations

  • Department of Chemistry, Faculty of Chemistry and Chemical Engineering, Babes-Bolyai University, Cluj-Napoca, Romania

    Mircea Vasile Diudea

About the author

Prof. Dr. Mircea Vasile Diudea is a  Professor of Mathematical Chemistry and Nanoscience at Babes-Bolyai University, Faculty of Chemistry and Chemical Engineering, Cluj, Romania. 
Prof. Diudea has edited/authored 11 books:  

1. A. R. Ashrafi and M. V. Diudea (Eds), Distance, Symmetry, and Topology in Carbon Nanomaterials, Springer Intl. Pub. Switzerland 2016.

2. M. V. Diudea and C. L. Nagy (Eds), Carbon Materials: Chemistry and Physics. Vol. 6, Diamond and Related Nanostructures. Springer, Dordrecht, 2013.

3. M. V. Diudea (Ed), Nanostructures, Novel Architecture, Nova, New York, 2005.

4. M. V. Diudea, (Ed), QSPR/QSAR Studies by Molecular Descriptors, Nova, New York, 2001.

5. M. V. Diudea, Nanomolecules and Nanostructures - Polynomials and Indices, MCM, No. 10, Univ. Kragujevac, Serbia, 2010.

6. M. V. Diudea and Cs. L. Nagy, Periodic Nanostructures, Springer, 2007.

7. M. V. Diudea, M. S. Florescu, and P. V. Khadikar, Molecular Topology and Its Applications, Eficon, Bucharest, 2006.

8. M.V. Diudea, I. Gutman and L. Jäntschi, Molecular Topology, Nova, New York, 2002.

9. M.V. Diudea and O. Ivanciuc, Molecular Topology, COMPREX, Cluj, 1995 (in Romanian).

10.   M. V. Diudea ; M. Pitea; M. Butan, Fenothiazines and structurally related drugs. DACIA, Cluj, 1992

(in Romanian)., 278p.

11.   M. V. Diudea, S. Todor and A. Igna, Aquatic Toxicology. DACIA, Cluj, 1986 (in Romanian).

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access