Related Experiment Video
Updated: Jun 16, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
Renormalized Internally Contracted Multireference Coupled Cluster with Perturbative Triples
Robin Feldmann1, Markus Reiher1
1Department of Chemistry and Applied Biosciences, ETH Zürich,, Vladimir-Prelog-Weg 2, 8093 Zürich, Switzerland.
This study introduces the renormalized internally contracted multireference coupled cluster (ric-MRCC) method, combining DSRG and ic-MRCC theories. The new approach offers accurate calculations for complex molecular systems with improved computational efficiency.
Area of Science:
- Quantum Chemistry
- Computational Chemistry
- Theoretical Chemistry
Background:
- The driven similarity renormalization group (DSRG) offers a unitary multireference coupled cluster theory.
- Numerical instabilities can arise in coupled cluster methods.
- Accurate calculations for strongly correlated systems remain a challenge.
Purpose of the Study:
- To develop a novel computational method for accurate electronic structure calculations.
- To extend the DSRG approach to nonunitary transformations for broader applicability.
- To improve the efficiency of multireference coupled cluster calculations.
Main Methods:
- Combined internally contracted multireference coupled cluster (ic-MRCC) with the driven similarity renormalization group (DSRG).
- Adapted the unitary flow equation approach for nonunitary transformations, creating the renormalized ic-MRCC (ric-MRCC) method.
- Introduced approximations to the Baker-Campbell-Hausdorff expansion and approximate perturbative triples for ric-MRCCSD[T].
Main Results:
- Demonstrated the accuracy of ric-MRCC methods for potential energy curves of H8, F2, H2O, N2, and Cr2.
- Achieved accuracy comparable to advanced multireference methods.
- ric-MRCCSD and ric-MRCCSD[T] matched CCSD(T) and full configuration interaction results for spectroscopic constants and energies.
Conclusions:
- The developed renormalized ic-MRCC (ric-MRCC) method provides a computationally efficient and accurate approach for electronic structure calculations.
- This method effectively addresses challenges in multireference systems.
- The findings pave the way for more reliable predictions in quantum chemistry.
Related Concept Videos
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...
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...
¹H NMR: Long-Range Coupling
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
Thermal Sigmatropic Reactions: Overview
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
Radicals: Electronic Structure and Geometry
Accordingly, the structure of a trivalent radical lies between the geometries of carbocations and carbanions. An sp2-hybridized carbocation is trigonal planar, while an sp3-hybridized carbanion is trigonal pyramidal. Here, the difference in geometry is...
¹H NMR: Complex Splitting
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...

