On the accuracy of density functional theory and wave function methods for calculating vertical ionization energies
- Univ. of Cambridge (United Kingdom). Cavendish Lab.
- King’s College London, (United Kingdom). Theory and Simulation of Condensed Matter
- Univ. of Cambridge (United Kingdom)
- Univ. of Cambridge (United Kingdom). Cavendish Lab.; Argonne National Lab. (ANL), Argonne, IL (United States)
In this work, the best practice in computational methods for determining vertical ionization energies (VIEs) is assessed, via reference to experimentally determined VIEs that are corroborated by highly accurate coupled-cluster calculations. These reference values are used to benchmark the performance of density-functional theory (DFT) and wave function methods: Hartree-Fock theory (HF), second-order Møller-Plesset perturbation theory (MP2) and Electron Propagator Theory (EPT). The core test set consists of 147 small molecules. An extended set of six larger molecules, from benzene to hexacene, is also considered to investigate the dependence of the results on molecule size. The closest agreement with experiment is found for ionization energies obtained from total energy diff calculations. In particular, DFT calculations using exchange-correlation functionals with either a large amount of exact exchange or long-range correction perform best. The results from these functionals are also the least sensitive to an increase in molecule size. In general, ionization energies calculated directly from the orbital energies of the neutral species are less accurate and more sensitive to an increase in molecule size. For the single-calculation approach, the EPT calculations are in closest agreement for both sets of molecules. For the orbital energies from DFT functionals, only those with long-range correction give quantitative agreement with dramatic failing for all other functionals considered. The results offer a practical hierarchy of approximations for the calculation of vertical ionization energies. In addition, the experimental and computational reference values can be used as a standardized set of benchmarks, against which other approximate methods can be compared.
- Research Organization:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Engineering and Physical Sciences Research Council (EPSRC)
- Grant/Contract Number:
- AC02-06CH11357; EP/P505445/1
- OSTI ID:
- 1391934
- Alternate ID(s):
- OSTI ID: 1228252
- Journal Information:
- Journal of Chemical Physics, Vol. 142, Issue 19; ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
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