Topological atomic displacements, Kirchhoff and Wiener indices of molecules

E. Estrada, N. Hatano, University of Strathclyde, New Professors Fund (Funder)

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Abstract

We provide a physical interpretation of the Kirchhoff index of any molecules as well as of the Wiener index of acyclic ones. For the purpose, we use a local vertex invariant that is obtained from first principles and describes the atomic displacements due to small vibrations/oscillations of atoms from their equilibrium positions. In addition, we show that the topological atomic displacements correlate with the temperature factors (B-factors) of atoms obtained by X-ray crystallography for both organic molecules and biological macromolecules.
Original languageEnglish
Pages (from-to)166-170
Number of pages4
JournalChemical Physics Letters
Volume486
Issue number4-6
DOIs
Publication statusPublished - Feb 2010

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Estrada, E., Hatano, N., & University of Strathclyde, New Professors Fund (Funder) (2010). Topological atomic displacements, Kirchhoff and Wiener indices of molecules. Chemical Physics Letters, 486(4-6), 166-170. https://doi.org/10.1016/j.cplett.2009.12.090