The Dimensionality and Topology of Chemical Bonding Manifolds in Metal Clusters and Related Compounds.

Abstract

The chemical bonding manifolds in metal cluster skeletons (as well as in skeletons of clusters of other elements such as boron or carbon) may be classified according to their dimensionalities and their chemical homeomorphism to various geometric structures. The skeletal bonding manifolds of discrete metal cluster polyhedra may be either one-dimensional edge-localized or three-dimensional globally delocalized although two-dimensional face-localized skeletal bonding manifolds are possible in a few cases. Electron precise globally delocalized metal cluster polyhedra with v vertices have 2v + 2 skeletal electrons and form deltahedra with no tetrahedral chambers having total skeletal bonding manifolds chemically homeomorphic to a closed ball. Electron rich metal cluster polyhedra with v vertices have more than 2v + 2 skeletal electrons and form polyhedra with one or more non-triangular faces whereas electron poor metal cluster polyhedra with v vertices have less than 2v + 2 skeletal electrons and form deltahedra with one or more tetrahedral chambers. Keywords: Dimensionality, Topology, Metal Clusters, Supderconductivity, Metals, Gadoinium, Zirconium, Platinum, Chevrel Phases, Ternary Molybdenum Chalcogenides, Ternary Lanthanide Rhodium Borides.

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Document Details

Document Type
Technical Report
Publication Date
Aug 11, 1987
Accession Number
ADA183616

Entities

People

  • R. B. King

Organizations

  • University of Georgia

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aromatic Hydrocarbons
  • Chemical Bonds
  • Chemistry
  • Cyclic Hydrocarbons
  • Electrons
  • Graph Theory
  • Hydrocarbons
  • Magnetic Fields
  • Materials
  • Military Research
  • Molybdenum
  • Physical Properties
  • Three Dimensional
  • Topology
  • Transition Metals
  • Transitions
  • Two Dimensional

Readers

  • Graph Algorithms and Convex Optimization.
  • Materials Science and Engineering.
  • Surface Engineering/Surface Coating Technology.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene