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What is Geometrical Image of a Chemical Compound

Chapter 3
Nanotechnologies and Clusters in the Spaces of Higher Dimension: Emerging Research and Opportunities
The geometrical image of a chemical compound (molecule) is a convex polytope, at the vertices of which atoms (or functional groups) are located. The edges of the polytope connecting the vertices correspond to the chemical bonds of the compound. The part of edges only carries a geometric function. They are necessary to give the molecule the image of a convex geometric figure. The dimension of the polytope is determined by the Euler-Poincare equation.
Published in Chapter:
Dimension of Chemical Compounds of Atoms Metals With Atoms No Metals
Copyright: © 2021 |Pages: 38
DOI: 10.4018/978-1-7998-3784-8.ch003
Abstract
The structures of compounds of a metal atom with ligands were studied by sequentially changing the groups and subgroups of the periodic system of elements in which the metal atom is located. It is shown that all metals from the first to the eighth groups form chemical compounds of a higher dimension. The formation of molecules of higher dimension occurs due to the chemical bonds of the metal atom with ligands both due to the influence of electron pairs and due to the attraction of ions. Moreover, the apparent valence of the metal atom, as a rule, exceeds the value of the valence determined by the location of the metal in the periodic table of chemical elements.
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Chapter 10
Polytopes of the Highest Dimension in Biology
The ass="highlight">geometricalass="highlight">imageass="highlight">of a chemical compound (molecule) is a convex polytope, at the vertices ass="highlight">of which atoms (or functional groups) are located. The edges ass="highlight">of the polytope connecting the vertices correspond to the chemical bonds ass="highlight">of the compound. The part ass="highlight">of edges only carry a geometric function. They are necessary to give the molecule the ass="highlight">imageass="highlight">of a convex geometric figure. The dimension ass="highlight">of the polytope is determined by the Euler-Poincare equation.
Published in Chapter: Polytopes of the Highest Dimension in Biology; From: The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems
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