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Linearized Pair-Density Functional Theory for Vertical Excitation Energies
Matthew R Hennefarth, Daniel S King, Laura Gagliardi1
1Argonne National Laboratory, 9700 S. Cass Avenue, Lemont, Illinois 60439, United States.
Linearized pair-density functional theory (L-PDFT) accurately predicts vertical electronic excitations, matching multiconfiguration PDFT performance. This method offers computational advantages for calculating excited states, especially with many states involved.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Theoretical Spectroscopy
Background:
- Multiconfiguration pair-density functional theory (MC-PDFT) is efficient for electronic state energies but lacks state interaction.
- Existing MC-PDFT methods do not account for interactions between electronic states, limiting accuracy near crossings.
- Linearized PDFT (L-PDFT) extensions have emerged to model potentials near conical intersections and avoided crossings.
Purpose of the Study:
- To systematically evaluate the performance of L-PDFT for vertical excitation energies.
- To assess L-PDFT's accuracy for well-separated excited states at equilibrium geometries.
- To compare L-PDFT performance against MC-PDFT using the QUESTDB dataset.
Main Methods:
- Utilized the linearized pair-density functional theory (L-PDFT) method.
- Employed the extensive QUESTDB database for vertical excitation calculations.
- Used automatically selected active spaces for the electronic structure computations.
Main Results:
- L-PDFT demonstrated strong performance across all tested vertical excitations.
- L-PDFT successfully reproduced the accuracy of MC-PDFT for these calculations.
- L-PDFT exhibits constant computational scaling with the number of included states, unlike MC-PDFT's linear scaling.
Conclusions:
- L-PDFT is a reliable method for predicting vertical electronic excitations.
- L-PDFT offers a computationally advantageous alternative to MC-PDFT, especially for multistate calculations.
- The findings highlight L-PDFT's potential for accurate and efficient excited-state calculations.
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