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Nested gausslet basis sets
Steven R White1, Michael J Lindsey2
1Department of Physics and Astronomy, University of California, Irvine, California 92697-4575, USA.
The Journal of Chemical Physics
|December 18, 2023
Summary
We developed new gausslet bases for quantum chemistry calculations, improving accuracy for larger atoms. These bases enable faster, precise Hartree-Fock energy computations.
Area of Science:
- Quantum Chemistry
- Computational Physics
Background:
- Gausslet bases are computational tools for quantum mechanical systems.
- Existing bases have limitations in treating atoms with high atomic numbers.
Purpose of the Study:
- To introduce advanced gausslet bases for improved quantum chemical calculations.
- To enable accurate treatment of larger atomic systems and efficient Hamiltonian integral computation.
Main Methods:
- Development of nested and pure Gaussian distorted gausslet bases.
- Utilizing the diagonal approximation for electron-electron interactions.
- Mathematical analysis of one-dimensional diagonal bases and their properties.
Main Results:
- New bases handle larger atomic numbers effectively.
- Analytical computation of Hamiltonian integrals is now possible.
- Achieved high accuracy (2 × 10-5 Ha) for neon atom Hartree-Fock energy.
Conclusions:
- The novel gausslet bases significantly advance computational efficiency and accuracy.
- New mathematical insights into basis set construction were established.
- These methods provide a pathway for precise calculations in quantum chemistry.
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