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Geometrical and Topological Dimensions of the Diamond

  • G. V. Zhizhin
  • Z. Khalaj
  • M. V. DiudeaEmail author
Chapter
Part of the Carbon Materials: Chemistry and Physics book series (CMCP, volume 9)

Abstract

The question of possible existence of molecules in spaces of higher dimensions, as a consequence of special distribution of matter, is addressed. The geometrical features of the adamantane molecule are examined in detail. It is shown that the adamantane molecule has the dimension 4. The connection ways of the adamantane molecules are investigated on the basis of their geometric properties. Topological properties of the diamond, a 3-periodic net of adamantane, and of a hyperdiamond, called diamond D5, are given in terms of Omega and Cluj polynomials.

Keywords

Valence Bond Methane Hydrate Phosphorus Oxide Quasi Crystal Nonhomogeneous Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Member of “Skolkovo” OOO “Adamant”Saint-PetersburgRussia
  2. 2.Department of Physics, Shahr-e-Qods BranchIslamic Azad UniversityTehranIran
  3. 3.Department of Chemistry, Faculty of Chemistry and Chemical EngineeringBabes-Bolyai UniversityCluj-NapocaRomania

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