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Updated: Oct 26, 2025

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Published on: April 22, 2013
Are "GAPT Charges" Really Just Charges?
Wagner E Richter1, Leonardo J Duarte2, Roy E Bruns2
1Department of Chemical Engineering, Federal University of Technology-Paraná, Ponta Grossa 84017-220, PR, Brazil.
Generalized atomic polar tensor (GAPT) charges can be decomposed into static and dynamic parts. This study explains GAPT
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Molecular Modeling
Background:
- Generalized Atomic Polar Tensor (GAPT) is a widely used charge model in computational chemistry.
- GAPT possesses unique characteristics that differentiate it from standard charge partitioning schemes.
- Existing comparisons of charge models often struggle to directly incorporate GAPT due to its distinct features.
Purpose of the Study:
- To explore the unique features of GAPT, focusing on its dependence on multiple geometries and its dynamic nature.
- To demonstrate a method for extracting static and dynamic components from GAPT using any static charge model.
- To provide a conceptual framework for understanding the correlation between GAPT and Quantum Theory of Atoms in Molecules (QTAIM) charges.
Main Methods:
- Analysis of GAPT's dependence on molecular geometry.
- Development of a procedure to derive static and dynamic parts of GAPT from static charge models.
- Conceptual evaluation comparing GAPT and QTAIM charge models.
Main Results:
- A method is presented to obtain both static and dynamic contributions of GAPT from existing static charge models.
- The strong correlation between GAPT and QTAIM charges is partially explained through a conceptual evaluation.
- Infrared charges, like GAPT, benefit from interpretation as a sum of static charges and dynamic atomic dipoles.
Conclusions:
- GAPT's dynamic character and geometric dependence can be systematically analyzed and decomposed.
- The study provides a unified perspective on GAPT and QTAIM, highlighting their underlying connections.
- An improved interpretation of infrared charges is proposed, emphasizing their dynamic components.
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