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Updated: Feb 26, 2026

Adapting Taylor Dispersion to Measure the Dispersion Coefficient of Electrolyte Solutions via an Accessible Microfluidic Setup
Published on: October 7, 2025
Extension of the D3 dispersion coefficient model.
Eike Caldeweyher1, Christoph Bannwarth1, Stefan Grimme1
1Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie der Universität Bonn, Beringstr. 4, D-53115 Bonn, Germany.
A new D4 model efficiently computes molecular dispersion coefficients using scaled atomic polarizabilities. This method significantly reduces errors compared to the D3 scheme, improving accuracy for non-covalent interactions.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Materials Science
Background:
- Accurate computation of molecular dipole-dipole dispersion coefficients is crucial for understanding non-covalent interactions.
- Existing methods like the D3 scheme provide a foundation but can be improved in accuracy and efficiency.
Purpose of the Study:
- To introduce a novel, efficient computational model named D4 for calculating molecular dipole-dipole dispersion coefficients.
- To enhance the accuracy of dispersion coefficient calculations by incorporating electronic density information.
Main Methods:
- The D4 model calculates dispersion coefficients as sums of atom-in-molecule coefficients over atom pairs.
- It utilizes dynamic polarizabilities from time-dependent density functional theory (TD-DFT) and incorporates atomic partial charges from semi-empirical quantum mechanics to scale polarizabilities.
- Casimir-Polder integration is employed for on-the-fly calculation of coefficients.
Main Results:
- The D4 method demonstrates significantly lower errors in dispersion coefficients compared to the D3 scheme and other computationally intensive methods.
- It achieves high accuracy and efficiency in calculating isotropic, charge, and hybridization-dependent static polarizabilities.
- Damping function parameters are provided for TPSS, PBE0, and B3LYP density functionals.
Conclusions:
- The D4 model offers a substantial improvement in the accuracy and efficiency of calculating molecular dispersion coefficients.
- This advancement is valuable for accurate modeling of non-covalent interactions in various chemical systems.
- The model provides a robust tool for computational chemistry research and applications.
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