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Extracting atoms from molecular electron densities via integral equations
Andrew T B Gilbert1, Peter M W Gill, Stephen W Taylor
1School of Chemistry, University of Nottingham, Nottingham NG7 2RD, United Kingdom. andrew.gilbert@nottingham.ac.uk
The Journal of Chemical Physics
|July 23, 2004
Summary
This study introduces a new method for creating Stewart atoms, which are used to model molecular electron density. The novel approach uses convolution integrals, bypassing previous limitations and achieving highly accurate results.
Area of Science:
- Computational chemistry
- Quantum chemistry
- Molecular modeling
Background:
- Molecular electron density can be approximated by superposing atomic densities.
- Stewart atoms are optimal, least-squares, nuclear-centered, spherically symmetric functions for modeling electron density.
- Previous methods for constructing Stewart atoms faced slow convergence issues with auxiliary basis sets.
Purpose of the Study:
- To develop an efficient and accurate method for constructing Stewart atoms.
- To overcome the limitations of slow convergence in previous auxiliary basis set expansions.
- To provide a robust approach for approximating molecular electron densities.
Main Methods:
- A novel method for constructing Stewart atoms using convolution integrals.
- Bypassing the need for an auxiliary basis set in the construction process.
- Achieving accurate approximations of Stewart atoms.
Main Results:
- The proposed convolution integral method effectively constructs Stewart atoms.
- The new method circumvents the slow convergence problems associated with auxiliary basis sets.
- Highly accurate approximations to Stewart atoms were successfully produced.
Conclusions:
- Convolution integrals offer an efficient and accurate alternative for Stewart atom construction.
- This method advances molecular electron density modeling in computational chemistry.
- The findings pave the way for improved accuracy in quantum chemical calculations.