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Updated: Dec 23, 2025

Structural Studies of Macromolecules in Solution using Small Angle X-Ray Scattering
Published on: November 5, 2018
Comparison of Spin-Flip TDDFT-Based Conical Intersection Approaches with XMS-CASPT2
Max Winslow1, Warren B Cross1, David Robinson1
1Department of Chemistry and Forensics, School of Science and Technology, Nottingham Trent University, Clifton Lane, Nottingham NG11 8NS, United Kingdom.
Accurately determining conical intersection geometries is crucial for understanding molecular reactivity. This study shows spin-flip TDDFT methods offer a computationally efficient alternative for larger molecules, closely matching more intensive reference calculations.
Area of Science:
- Computational Chemistry
- Theoretical Chemistry
- Quantum Chemistry
Background:
- Conical intersection geometries are vital for understanding molecular photochemical reactivity.
- Accurate methods like multireference approaches are computationally expensive for large molecules.
- Developing efficient computational methods is essential for studying larger systems.
Purpose of the Study:
- To evaluate the accuracy of spin-flip time-dependent density functional theory (SF-TDDFT) for determining minimum energy crossing point (MECP) conical intersection geometries.
- To compare SF-TDDFT results with higher-level methods such as XMS-CASPT2 and CASSCF.
- To assess the computational cost and performance of SF-TDDFT with and without explicit nonadiabatic coupling terms.
Main Methods:
- Spin-flip time-dependent density functional theory (SF-TDDFT) within the Tamm-Dancoff Approximation.
- Calculation of MECP geometries with and without explicit nonadiabatic coupling terms.
- Comparison with geometries obtained from XMS-CASPT2 and CASSCF methods.
Main Results:
- SF-TDDFT methods without explicit nonadiabatic coupling terms generally agree well with XMS-CASPT2 reference structures.
- Relative energetics are reasonably reproduced when using the BHHLYP functional and full nonadiabatic coupling terms for MECP structures.
- CASSCF calculations occasionally show quantitative deviations from XMS-CASPT2, highlighting the need for dynamical correlation.
Conclusions:
- SF-TDDFT presents a computationally feasible approach for determining conical intersection geometries in larger molecules.
- The accuracy of SF-TDDFT depends on the inclusion of nonadiabatic coupling terms and the chosen functional.
- Dynamical correlation effects are important for accurate geometry determination, as shown by CASSCF deviations.
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