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Atomic Partitioning of the MPn (n = 2, 3, 4) Dynamic Electron Correlation Energy by the Interacting Quantum Atoms
Mark A Vincent1,2, Arnaldo F Silva1,2, Paul L A Popelier1,2
1Manchester Institute of Biotechnology, The University of Manchester, Manchester, M1 7DN, UK.
A new algorithm accelerates the calculation of electron correlation energies using interacting quantum atoms (IQA) at the MPn level. This enables the creation of machine learning training sets for quantum topological force fields like FFLUX.
Area of Science:
- Quantum chemistry
- Computational chemistry
- Theoretical chemistry
Background:
- The interacting quantum atoms (IQA) method partitions molecular energy to provide chemical insight.
- Extending IQA to MPn wave functions captures dynamic electron correlation but is computationally expensive.
- Existing methods struggle to create machine learning training sets due to computational costs.
Purpose of the Study:
- To develop an accelerated algorithm for calculating atomically partitioned electron correlation energies.
- To enable the generation of accurate and sizeable training sets for machine learning models at the MPn level.
- To facilitate the application of quantum topological methods in computational chemistry.
Main Methods:
- Extension of the interacting quantum atoms (IQA) method to MPn (n=2, 3, 4) wave functions.
- Development of an algorithm to significantly accelerate the computation of electron correlation energies.
- Utilizing analytical integrals over whole space, avoiding the need for pairwise interatomic energies.
Main Results:
- Marked acceleration in the calculation of atomically partitioned electron correlation energies.
- Demonstration that pairwise interatomic energies are not required for the FFLUX force field.
- Feasibility of generating accurate and large training sets at the MPn level of theory.
Conclusions:
- The developed algorithm overcomes the computational bottleneck of IQA-MPn calculations.
- It is now practical to create machine learning training sets for topological atom models.
- This advancement supports the use of advanced quantum chemical methods for developing predictive models.
Related Concept Videos
The Quantum-Mechanical Model of an Atom
The Energies of Atomic Orbitals
Atomic Orbitals
Electron Configuration of Multielectron Atoms
Hybridization of Atomic Orbitals I
Atomic Radii and Effective Nuclear Charge

