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Approximate Force Constants from Uncoupled Self-Consistent Field Perturbation Theory Using Nonhybrid Density
Zhigang Ni1, Krzysztof Wolinski2, Peter Pulay1
1Department of Chemistry and Biochemistry, University of Arkansas , Fayetteville, Arkansas 72701, United States.
Uncoupled SCF calculations of molecular vibrations offer a computationally efficient alternative to coupled methods for pure DFT, accurately predicting spectra and guiding optimizations.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Spectroscopy
Background:
- Nuclear Hessians are crucial for molecular properties and optimizations.
- Calculating Hessians scales steeply with system size due to coupled-perturbed SCF (CP-SCF).
Purpose of the Study:
- To evaluate the performance of the uncoupled SCF (UC-SCF) approximation for calculating nuclear Hessians.
- To assess UC-SCF's accuracy for vibrational frequencies and normal modes in pure DFT.
Main Methods:
- Comparison of UC-SCF and CP-SCF methods.
- Calculations using various exchange-correlation functionals (including Hartree-Fock) and basis sets.
- Application to organic and organometallic molecules.
Main Results:
- UC-SCF performs poorly for Hartree-Fock and hybrid DFT but remarkably well for pure DFT.
- UC-SCF accurately predicts vibrational frequencies and normal modes, even for transition states.
- UC-SCF shows good agreement with coupled calculations for pure DFT functionals.
Conclusions:
- UC-SCF is a viable and efficient approximation for calculating vibrational properties in pure DFT.
- UC-SCF can be used for thermodynamic property calculations and challenging geometry optimizations.
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