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Updated: Jan 10, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
Performance of Equation of Motion-Coupled Cluster Methods for Computing Anharmonic Vibrational Frequencies of
Rebecca A Firth1, Ryan C Fortenberry1
1Department of Chemistry & Biochemistry, University of Mississippi, University, Mississippi 38677, United States.
Equation of motion (EOM)-based coupled cluster (CC) methods accurately predict molecular vibrational frequencies. These computational chemistry techniques, utilizing quartic force fields (QFFs), achieve high accuracy for both ground and excited electronic states.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Spectroscopy
Background:
- Accurate prediction of molecular vibrational frequencies and rotational constants is crucial for understanding chemical structures and dynamics.
- Equation of Motion (EOM)-based Coupled Cluster (CC) methods offer a robust framework for calculating these properties.
- Hybrid quartic force fields (QFFs) are employed to incorporate anharmonicity, improving accuracy beyond harmonic approximations.
Purpose of the Study:
- To evaluate the accuracy of EOM-based CC methods, particularly EOM-ionization potential (IP) and EOM-electron affinity (EA), in predicting anharmonic vibrational frequencies.
- To compare the performance of approximate triples (CCSD(T)(a)) and full triples (CCSDT) CC methods for ground and excited electronic states.
- To apply the most accurate methods to characterize the rovibronic states of SiOH and re-evaluate spectroscopic assignments for HCF+.
Main Methods:
- Utilized Equation of Motion (EOM)-based Coupled Cluster (CC) methods, including EOM-IP-CCSD(T)(a) and EOM-IP-CCSDT.
- Employed hybrid quartic force fields (QFFs) to compute anharmonic vibrational frequencies and rotational constants.
- Benchmarked computational results against experimental data for various open-shell molecules (HOO, HNF, HSO, HCF+).
Main Results:
- EOM-based CC methods with hybrid QFFs achieved average errors of 1.5% for ground states and 4.4% for excited states.
- EOM-IP-CCSD(T)(a)/CcCR+TZ QFF demonstrated excellent performance for ground states with a mean absolute percent error of 1.3%.
- Accurate prediction of excited state frequencies necessitates full triples (CCSDT), which significantly increases computational cost (∼70x).
Conclusions:
- EOM-based CC methods provide highly accurate anharmonic vibrational frequencies and rotational constants, essential for molecular characterization.
- The choice between approximate and full triples methods depends on the required accuracy for ground versus excited electronic states.
- The study provides a full rovibronic characterization for SiOH and questions a previous spectroscopic assignment for HCF+.
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