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Article

An Efficient Method for Contraction of Property-Oriented Basis Sets: A Considerable Reduction of the pecJ-1 and pecJ-2 Basis Sets for the Calculations of Spin–Spin Coupling Constants Involving H, C, N and F Nuclei

by
Irina L. Rusakova
* and
Yuriy Yu. Rusakov
A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russia
*
Author to whom correspondence should be addressed.
Int. J. Mol. Sci. 2026, 27(10), 4650; https://doi.org/10.3390/ijms27104650
Submission received: 7 May 2026 / Revised: 19 May 2026 / Accepted: 20 May 2026 / Published: 21 May 2026

Abstract

In this paper, it is suggested that the property–energy consistent (PEC) method represents an efficient and reliable method for generating accurate contraction coefficients for the property-oriented basis sets. Due to its peculiarities, the PEC method allows the implementation of rather succinct contraction schemes, without a noticeable loss of accuracy, giving in result very compact property-oriented basis sets that are capable of providing the same or even better accuracy than that reached with considerably larger basis sets of the same kind. This idea has been demonstrated on the example of the recontraction of previously introduced spin–spin coupling constant (SSCC)-oriented pecJ-n (n = 1, 2) basis sets for H, C, N, and F atoms, whose exponents were optimized by the PEC algorithm, but the contraction coefficients were defined using the usual self-consistent field calculations of the molecular energies of the simplest hydrides. In this work, the original pecJ-n basis sets were recontacted by means of the PEC method, resulting in compact segmented–contracted basis sets being smaller in size than their previous analogies by four and seven functions for hydrogen and the 2nd-period atoms, respectively. High-quality SOPPA(CCSD) calculations of 436 SSCCs of various types involving H, C, N, and F nuclei showed the supremacy of the newly contracted pecJ-n (n = 1, 2) basis sets over their original versions and most of the other well-known SSCC-oriented basis sets.
Keywords: pecJ-1; pecJ-2; basis set; spin–spin coupling constant; property–energy consistent method; correlated ab initio methods pecJ-1; pecJ-2; basis set; spin–spin coupling constant; property–energy consistent method; correlated ab initio methods

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MDPI and ACS Style

Rusakova, I.L.; Rusakov, Y.Y. An Efficient Method for Contraction of Property-Oriented Basis Sets: A Considerable Reduction of the pecJ-1 and pecJ-2 Basis Sets for the Calculations of Spin–Spin Coupling Constants Involving H, C, N and F Nuclei. Int. J. Mol. Sci. 2026, 27, 4650. https://doi.org/10.3390/ijms27104650

AMA Style

Rusakova IL, Rusakov YY. An Efficient Method for Contraction of Property-Oriented Basis Sets: A Considerable Reduction of the pecJ-1 and pecJ-2 Basis Sets for the Calculations of Spin–Spin Coupling Constants Involving H, C, N and F Nuclei. International Journal of Molecular Sciences. 2026; 27(10):4650. https://doi.org/10.3390/ijms27104650

Chicago/Turabian Style

Rusakova, Irina L., and Yuriy Yu. Rusakov. 2026. "An Efficient Method for Contraction of Property-Oriented Basis Sets: A Considerable Reduction of the pecJ-1 and pecJ-2 Basis Sets for the Calculations of Spin–Spin Coupling Constants Involving H, C, N and F Nuclei" International Journal of Molecular Sciences 27, no. 10: 4650. https://doi.org/10.3390/ijms27104650

APA Style

Rusakova, I. L., & Rusakov, Y. Y. (2026). An Efficient Method for Contraction of Property-Oriented Basis Sets: A Considerable Reduction of the pecJ-1 and pecJ-2 Basis Sets for the Calculations of Spin–Spin Coupling Constants Involving H, C, N and F Nuclei. International Journal of Molecular Sciences, 27(10), 4650. https://doi.org/10.3390/ijms27104650

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