1998
DOI: 10.1007/s002140050311
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The vibrational frequencies of CaO 2 , ScO 2 , and TiO 2 : a comparison of theoretical methods

Abstract: The vibrational frequencies of several states of CaO 2 , ScO 2 , and TiO 2 are computed using density functional theory (DFT), the Hartree-Fock approach, second-order Mùller-Plesset perturbation theory (MP2), and the complete-active-space self-consistent-®eld theory. Three dierent functionals are used in the DFT calculations, including two hybrid functionals. The coupled cluster singles and doubles approach including the eect of connected triples, determined using perturbation theory, is applied to selected st… Show more

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Cited by 35 publications
(48 citation statements)
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“…While experience has shown that the DFT approaches can treat a very large number of systems accurately, even these approaches are susceptible to symmetry-breaking, as we have discussed previously [11] for metal-containing systems and show for an organic system in this report. Our experience has been that the geometries and frequencies are very similar at the B3LYP and BP86 levels of theory, but, in general, the B3LYP approach works somewhat better for organic molecules, while, in general, the BP86 works better for organometallic compounds.…”
Section: Introductionmentioning
confidence: 61%
“…While experience has shown that the DFT approaches can treat a very large number of systems accurately, even these approaches are susceptible to symmetry-breaking, as we have discussed previously [11] for metal-containing systems and show for an organic system in this report. Our experience has been that the geometries and frequencies are very similar at the B3LYP and BP86 levels of theory, but, in general, the B3LYP approach works somewhat better for organic molecules, while, in general, the BP86 works better for organometallic compounds.…”
Section: Introductionmentioning
confidence: 61%
“…A similar approach is applied here to the CrO n Ϫ series, especially for nϭ3 -5, for which there is little previous work. Among the 3d TM oxide anions, theoretical studies have been performed for ScO 2 Ϫ , [20][21][22] TiO n Ϫ , 23 VO n Ϫ , 24 MnO n Ϫ , 14,25,26 and FeO n Ϫ , 27,28 and good agreement between experimental data and the calculated EA's of the corresponding neutral species has generally been obtained. Detailed studies of the electronic and geometrical structure of the neutral and anionic 3d TM monoxides 29 and dioxides 30 have been performed using DFT methods with different generalized gradient approximations for the exchange-correlation functional.…”
Section: Introductionmentioning
confidence: 77%
“…Geometric predictions made by the B3LYP and BP86 methods are similar, although it seems that the BP86 functional produces more accurate vibrational frequencies, in agreement with earlier theoretical work by Rosi and others. 39 The predicted adiabatic and vertical electron affinity and dissociation energy of TiO 2 and the vertical detachment energy of TiO 2 Ϫ are listed in Table IV. All levels of theory are in excellent agreement ͑within 0.1 eV͒ with the experimental value for the electron affinity of TiO 2 .…”
mentioning
confidence: 99%