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

By Ivan Gutman. 2005

180 citations recorded by the source corpus.

In spite of the fact that research on the mathematical properties of the total π-electron energy E (as computed by means of the Huckel molecular orbital approximation) started already in the 1940s, many results in this area have been obtained also in the newest times. In 1978 this author published in this journal a review on E. The present article is another review on E, summarizing the progress in the theory of E, achieved since then.

Subfields: Geometry and Topology, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/d465ee7504636ddd23be952be21d3e8f9253588a

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In Geometry and Topology

In Organic Chemistry

Citations in the corpus

Note on the HOMO-LUMO Index of Graphs ∗ (2013, background): “Within the HMO model. the π-electron energy levels Ei , i = 1, 2, . . . , n, obey the relation Ei = α + β λi where α and β are constants and β < 0.”
Randic Matrix and Randic Energy (2010, background): “It should be noted that Theorem 4 is just the Randić–energy variant of the classical McClelland inequality [18–20].”
Randic Spectral Radius and Randic Energy (2010, background): “(1) Details and more information on graph energy can be found in the reviews [3–6] and the recent papers [7–13].”
The Laplacian-energy Like Invariant is an Energy Like Invariant (2010, background): “Starting with the seminal work of McClelland [36], the basic results (bounds and approximations) for graph energy could be deduced by relying to a limited number of simple properties of the graph eigenvalues (for details see [7, 8], the recent works [37, 38], and the references cited therein).”
A note on energy of some graphs (2008, background): “The properties of E(G) are discussed in detail in [6, 8, 9].”
On incidence energy of a graph (2009, background): “We are interested to find the relation between the energy and the incidence energy of graphs.”