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Combining Accuracy and Efficiency: An Incremental Focal-Point Method Based on Pair Natural Orbitals.

Benjamin Fiedler¹, Gunnar Schmitz², Christof Hättig³

¹Institut für Chemie, Technische Universität Chemnitz , 09111 Chemnitz, Germany.

Journal of Chemical Theory and Computation

|October 19, 2017

Summary

This summary is machine-generated.

A new pair natural orbital (PNO)-based incremental scheme offers accurate and efficient calculations for reaction, interaction, and binding energies. This method achieves chemical accuracy with reduced computational cost, enabling studies of larger molecular systems.

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Area of Science:

Quantum Chemistry
Computational Chemistry
Theoretical Chemistry

Background:

Accurate calculation of reaction, interaction, and binding energies is crucial in chemistry.
Traditional methods can be computationally expensive, limiting the size of systems studied.
Pair Natural Orbitals (PNOs) offer a way to reduce computational cost in electronic structure calculations.

Purpose of the Study:

To develop and validate a new PNO-based incremental scheme for calculating CCSD(T) and CCSD(T0) energies.
To assess the accuracy and efficiency of the new scheme compared to existing methods.
To demonstrate the applicability of the scheme to larger molecular systems.

Main Methods:

Implementation of a novel PNO-based incremental scheme.
Calculation of reaction, interaction, and binding energies using the new scheme.
Comparison with non-PNO calculations and standard PNO methods.
Combination with the MP2 focal-point approach for achieving complete basis-set (CBS) limit accuracy.

Main Results:

The new scheme exhibits small incremental errors, comparable to non-PNO methods.
Slight PNO errors are achieved with appropriate threshold values.
The method yields chemical accuracy relative to the CBS limit when combined with MP2.
Significant reductions in computational time (wall and total times) were observed, with factors >10^2.
The scheme allows for the use of smaller basis sets for certain calculations.

Conclusions:

The developed PNO-based incremental scheme provides an excellent balance of accuracy and efficiency.
The method is highly efficient, offering substantial speedups compared to standard and normal incremental schemes.
The scheme's applicability is extended to larger systems due to its incremental nature and parallelization.
This approach makes accurate high-level electronic structure calculations more accessible.