The Bond Capacity Electronegativity Equilibration Charge Model (EEQBC) for the Elements Z=1–103

07 March 2025, Version 1
This content is a preprint and has not undergone peer review at the time of posting.

Abstract

The accurate and efficient assignment of atomic partial charges is crucial for many applications in theoretical and computational chemistry, including polarizable force fields, dispersion corrections, and charge-dependent basis sets. Classical charge models struggle to distinguish between neutral and zwitterionic fragments because, unlike quantum mechanical methods, there are no discrete electronic states. This limitation can lead to either reduced or additional artificial charge transfer (CT) at different interfragment distances. To address this issue, we propose a new version of a bond capacity electronegativity equilibration (EEQBC) model, which limits artificial CT between distant fragments in the simple EEQ framework. EEQBC offers excellent agreement with DFT-based reference charges for elements up to lawrencium (Z = 103) with mean absolute errors as low as 0.02 and 0.07 e− for random PubChem molecules and "mindless" molecules (MLMs), respectively. Thanks to its computational efficiency for both atomic charges and their analytical nuclear gradients, EEQBC is highly suitable as an initial charge guess for next-generation tight-binding methods. For seamless accessibility, EEQBC is implemented in the freely available multicharge program at: github.com/thfroitzheim/multicharge/tree/eeq-bc.

Keywords

Atomic Charges
Charge equilibration
SQM

Supplementary materials

Title
Description
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Title
Electronic Supporting Information
Description
Supplementary material including i) theoretical details of the EEQBC model and the charge and energy derivatives with respect to the nuclear coordinates, ii) technical details on the NH4F dissociation investigation, iii) an analysis of EEQBC charges in di-actinoid complexes, iv) analysis of the computation time for large systems, and v) a partial revision of the q-vSZP basis set and associated error measures on the GMTKN55 database when employing CEH vs. EEQBC for the atomic charges.
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