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- W2009007410 abstract "This study proposes a novel approach to construct the orbital-specific (OS) hybrid exchange-correlation functional by imposing the linearity condition: ${{{partial ^2 E}/{partial f_i^2 }}} |_{0 le f_i le 1} = {{{partial varepsilon _i }/{partial f_i }}} |_{0 le f_i le 1} = 0$∂2E/∂fi2|0≤fi≤1=∂ɛi/∂fi|0≤fi≤1=0, where E, εi, and fi represent the total energy, orbital energy, and occupation number of the ith orbital. The OS hybrid exchange-correlation functional, of which the OS Hartree–Fock exchange (HFx) portion is determined by the linearity condition, reasonably reproduces the ionization potentials not only from valence orbitals but also from core ones in a sense of Koopmans’ theorem. The obtained short-range HFx portions are consistent with the parameters empirically determined in core–valence–Rydberg–Becke-3–parameter–Lee–Yang–Parr hybrid functional [Nakata et al., J. Chem. Phys., 124, 094105 (2006); ibid, 125, 064109 (2006)10.1063/1.2227379]." @default.
- W2009007410 created "2016-06-24" @default.
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- W2009007410 date "2011-03-28" @default.
- W2009007410 modified "2023-10-03" @default.
- W2009007410 title "Linearity condition for orbital energies in density functional theory: Construction of orbital-specific hybrid functional" @default.
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- W2009007410 doi "https://doi.org/10.1063/1.3569030" @default.
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