2012
DOI: 10.1103/physrevb.86.205112
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Range-separated hybrid exchange-correlation functional analyses of anatase TiO2doped with W, N, S, W/N, or W/S

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Cited by 52 publications
(38 citation statements)
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“…To examine the relative stability of S-doped anatase TiO 2 for various defective models, the dopant formation energies were calculated using the following formula: [50] Table 2 It is noted that the dopant formation energy decreased with the increase of S doping concentration from 1.04 to 2.78 at.%. But, the dopant formation energy increased again at 4.17 at.%.…”
Section: Formation Energymentioning
confidence: 99%
“…To examine the relative stability of S-doped anatase TiO 2 for various defective models, the dopant formation energies were calculated using the following formula: [50] Table 2 It is noted that the dopant formation energy decreased with the increase of S doping concentration from 1.04 to 2.78 at.%. But, the dopant formation energy increased again at 4.17 at.%.…”
Section: Formation Energymentioning
confidence: 99%
“…The electronic properties of substitutional N at O sites (N O ) has been confirmed by several reports4533. The conductivity of a semiconductor depends not only on the thermodynamic transition levels of donor and acceptors, but also on their formation energies.…”
Section: Resultsmentioning
confidence: 78%
“…Both of these aspects are particularly important for defects. The HSE exchange is derived from the PBE0 (Perdew-Burke-Ernzerhof (PBE) functional containing 25% exact exchange)23 exchange by range separation and then by elimination of counteracting long-range contributions as4.…”
Section: Methodsmentioning
confidence: 99%
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“…These dopants have been considered before within DFT, often with the generalized gradient approximation (GGA) for the exchange-correlation functional or within the DFT+U method and with a focus on neutral impurities and their electronic properties. [16][17][18][19][20][21][22][23][24][25][26][27] However, whether an impurity becomes electrically active or rather remains inactive or even behaves amphoteric often depends on the growth conditions (e.g. the presence of native defects) and cannot directly be inferred from a DFT calculation on a neutral defect alone.…”
Section: Introductionmentioning
confidence: 99%