Related Experiment Video
Updated: Mar 29, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
The Basis Set Convergence of Spin-Spin Coupling Constants Calculated by Density Functional Methods.
1Department of Chemistry, University of Southern Denmark, DK-5230 Odense, Denmark.
We developed new pcJ-n basis sets for accurate calculation of nuclear spin-spin coupling constants using density functional theory. These sets improve convergence by adding specific tight functions for each contribution.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Theoretical Chemistry
Background:
- Density functional theory (DFT) is widely used for electronic structure calculations.
- Accurate calculation of nuclear spin-spin coupling constants (NCSCs) is crucial for molecular structure elucidation.
- Existing polarization-consistent basis sets require optimization for NCSCs.
Purpose of the Study:
- To evaluate polarization-consistent basis sets for calculating indirect nuclear spin-spin coupling constants.
- To develop an optimized basis set for DFT calculations of NCSCs.
- To propose a standard set of tight functions for improved basis set convergence.
Main Methods:
- Systematic evaluation of polarization-consistent basis sets for NCSCs.
- Inclusion of tight functions with large exponents to improve basis set convergence.
- Optimization of tight function exponents based on the absolute sum of coupling constant contributions.
- Testing across various molecular systems.
Main Results:
- Convergence of NCSC calculations can be significantly improved by adding tight functions.
- Specific function types (s, p, d, f) are required for different NCSC contributions (Fermi-contact, spin-orbit, spin-dipolar).
- A standard set of tight functions was determined and incorporated into the pcJ-n basis sets.
- The pcJ-n basis sets demonstrate suitability for NCSC calculations with DFT methods.
Conclusions:
- The proposed pcJ-n basis sets offer an efficient and accurate approach for calculating NCSCs using DFT.
- These basis sets provide a reliable tool for chemists investigating molecular structures and properties.
- The study highlights the importance of basis set augmentation for specific quantum chemical properties.
Related Concept Videos
Spin–Spin Coupling Constant: Overview
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
Spin–Spin Coupling: One-Bond Coupling
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
Valence Bond Theory

