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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

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An algorithm for the efficient evaluation of two-electron repulsion integrals over contracted Gaussian-type basis

Jaime Axel Rosal Sandberg¹, Zilvinas Rinkevicius

¹KTH Royal Institute of Technology, School of Biotechnology, Division of Theoretical Chemistry and Biology, S-106 91 Stockholm, Sweden. jaimeaxel@theochem.kth.se

The Journal of Chemical Physics

|December 27, 2012

Summary

A new algorithm efficiently calculates two-electron repulsion integrals, offering significant speedups for quantum chemistry calculations. This method improves computational performance for complex molecular modeling.

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Area of Science:

Computational chemistry
Quantum mechanics

Background:

Accurate calculation of two-electron repulsion integrals is crucial for quantum chemistry.
Existing algorithms face performance limitations with high contraction degrees.

Purpose of the Study:

To develop a novel algorithm for evaluating two-electron repulsion integrals.
To optimize the algorithm for high degrees of basis set contraction.

Main Methods:

Derivation of a new algorithm for two-electron repulsion integrals.
Development of both segmented and general contraction versions.
Preliminary implementation and testing against existing methods.

Main Results:

The new algorithm demonstrates significant theoretical performance gains.
Implementation shows good agreement with theoretical predictions.
Substantial average speedups were observed in integral evaluation.

Conclusions:

The derived algorithm offers a more efficient approach to calculating two-electron repulsion integrals.
This advancement can accelerate quantum chemistry simulations, particularly for systems with complex basis sets.