Quantum Alchemy Based Bonding Trends and Their Link to Hammett’s Equation and Pauling’s Electronegativity Model

Author(s)
Michael J. Sahre, Guido Falk von Rudorff, O. Anatole von Lilienfeld
Abstract

We present an intuitive and general analytical approximation estimating the energy of covalent single and double bonds between participating atoms in terms of their respective nuclear charges with just three parameters, [EAB ≈ a - bZAZB + c(ZA7/3 + ZB7/3) ]. The functional form of our expression models an alchemical atomic energy decomposition between participating atoms A and B. After calibration, reasonably accurate bond dissociation energy estimates are obtained for hydrogen-saturated diatomics composed of p-block elements coming from the same row 2 ≤ n ≤ 4 in the periodic table. Corresponding changes in bond dissociation energies due to substitution of atom B by C can be obtained via simple formulas. While being of different functional form and origin, our model is as simple and accurate as Pauling’s well-known electronegativity model. Analysis indicates that the model’s response in covalent bonding to variation in nuclear charge is near-linear, which is consistent with Hammett’s equation.

Organisation(s)
Computational Materials Physics
External organisation(s)
Universität Kassel, Vector Institute for Artificial Intelligence, University of Toronto, Technische Universität Berlin
Journal
Journal of the American Chemical Society
Volume
145
Pages
5899-5908
No. of pages
10
ISSN
0002-7863
DOI
https://doi.org/10.1021/jacs.2c13393
Publication date
03-2023
Peer reviewed
Yes
Austrian Fields of Science 2012
103018 Materials physics, 104017 Physical chemistry
ASJC Scopus subject areas
Catalysis, Chemistry(all), Biochemistry, Colloid and Surface Chemistry
Portal url
https://ucris.univie.ac.at/portal/en/publications/quantum-alchemy-based-bonding-trends-and-their-link-to-hammetts-equation-and-paulings-electronegativity-model(47f791ee-ccc4-4093-9de5-aadcc9b82577).html