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Topology and stability of conjugated hydrocarbons: The dependence of total π-electron energy on molecular topology [PDF]

open access: yesJournal of the Serbian Chemical Society, 2005
In spite of the fact that research on the mathematical properties of the total π-electron energy E (as computed by means of the Hückel molecular orbital approximation) started already in the 1940s, many results in this area have been obtained also in the
Gutman Ivan
doaj   +2 more sources

The total π-electron energy saga: Continuation [PDF]

open access: yesKragujevac Journal of Science
The total π-electron energy, as calculated within the Hückel molecular orbital approximation, is a much studied quantum chemical characteristics of unsaturated conjugated compounds. Its theory, together with that of its modification called "graph energy",
Gutman Ivan
doaj   +2 more sources

DOPANT EFFECT ON PHENALENE BANDGAP CONTROL: A HÜCKEL MOLECULAR ORBITAL PERSPECTIVE

open access: yesQuímica Nova, 2021
In this study, we investigate the effects of nitrogen and boron dopants on the properties of phenalene/phenalenyl systems based on the Hückel theory by using the Hueckel Molecular Orbital software. The dopants configurations are graphitic, pyridinic, and
Muhammad A Irham   +3 more
doaj   +1 more source

The Hall rule in fluoranthene-type benzenoid hydrocarbons [PDF]

open access: yesJournal of the Serbian Chemical Society, 2008
The applicability of the Hall rule (linear relation between the total π-electron energy and the number of Kekulé structures) was investigated in the case of fluoranthene-type benzenoid hydrocarbons. It was found that the originnal Hall rule is not obeyed,
Đurđević Jelena   +2 more
doaj   +3 more sources

Stability of bicalicene isomers: A topological study [PDF]

open access: yesJournal of the Serbian Chemical Society, 2016
Bicalicene is the conjugated hydrocarbon obtained by joining two calicene fragments. This can be done in two different ways, thus resulting in two bicalicene isomers (tentatively referred to as cis and trans).
Gutman Ivan
doaj   +1 more source

Electron-state control of carbon nanotubes by space and encapsulated fullerenes [PDF]

open access: yes, 2003
We report total-energy electronic structure calculations that provide energetics of encapsulation of various fullerenes in carbon nanotubes and electronic structures of resulting carbon peapods.
Okada Susumu   +3 more
core   +1 more source

Aromaticity of aza aromatic molecules: prediction from Hückel theory with modified parameters [PDF]

open access: yesQuímica Nova, 2023
Hückel theory is a simple and powerful method for predicting the molecular orbital and the energy of conjugated molecules. However, the presence of nitrogen atoms in aza aromatic molecules alters the Coulomb and resonance integrals owing to the ...
Inge M. Sutjahja   +3 more
doaj   +1 more source

A graph theoretical approach to cis/trans isomerism [PDF]

open access: yesJournal of the Serbian Chemical Society, 2014
A simple graph-theory-based model is put forward, by means of which it is possible to express the energy difference between geometrically non-equivalent forms of a conjugated polyene.
Furtula Boris   +2 more
doaj   +1 more source

The Total π-Electron Energy Saga

open access: yes, 2017
The total π-electron energy, as calculated within the Hückel tight-binding molecular orbital approximation, is a quantum-theoretical characteristic of conjugated molecules that has been conceived as early as in the 1930s. In 1978, a minor modification of
I. Gutman, Boris Furtula
semanticscholar   +1 more source

Computing graph energy: An alternative approach [PDF]

open access: yesKragujevac Journal of Science, 2014
The characteristic polynomial corresponding to the adjacency matrix of a graph is obtained by the Faddeev-Leverrier algorithm. Subsequently, an improved numerical scheme, based on the Newton-Raphson algorithm and the Adomian decomposition method, is ...
Fatoorehchi Hooman   +2 more
doaj   +1 more source

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