2010
DOI: 10.1103/physrevb.81.169901
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Publisher's Note: Density functional theory study of clean, hydrated, and defective alumina(11¯02)surfaces [Phys. Rev. B81, 125423 (2010)]

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Cited by 14 publications
(18 citation statements)
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“…51 As is common practice in ab initio thermodynamics, 26,35,47,49 the energy of the O 2 molecule was corrected with the experimental atomization energy because of the large error (0.90 eV) in the GGA atomization energy. The heat of formation of β-MnO 2 at 0 K (left-hand side of eq 9 in parentheses) is therefore calculated to be −5.88 eV, giving a lower limit of −2.94 eV for μ O .…”
Section: ■ Methodsmentioning
confidence: 99%
“…51 As is common practice in ab initio thermodynamics, 26,35,47,49 the energy of the O 2 molecule was corrected with the experimental atomization energy because of the large error (0.90 eV) in the GGA atomization energy. The heat of formation of β-MnO 2 at 0 K (left-hand side of eq 9 in parentheses) is therefore calculated to be −5.88 eV, giving a lower limit of −2.94 eV for μ O .…”
Section: ■ Methodsmentioning
confidence: 99%
“…This value is similar to those found in other DFT studies. 39,41 To correct for this error, 0.90 eV was added to the DFT total energy of the O 2 molecule, as has been done in previous work. 39,58 The use of an O 2 energy correction here leads to an overestimation of ΔH f by 10.2%, indicating that the errors in the MnO 2 and R-Mn energies cancel some of the error in the O 2 energy.…”
Section: ' Introductionmentioning
confidence: 99%
“…39,41 To correct for this error, 0.90 eV was added to the DFT total energy of the O 2 molecule, as has been done in previous work. 39,58 The use of an O 2 energy correction here leads to an overestimation of ΔH f by 10.2%, indicating that the errors in the MnO 2 and R-Mn energies cancel some of the error in the O 2 energy. However, as noted by Franchini et al, 49 an O 2 energy correction generally improves agreement between calculated and experimental formation energies of manganese oxides.…”
Section: ' Introductionmentioning
confidence: 99%
“…Treating the O2 molecule with U p not only helps the cancellation of errors but also addresses the well-known over-binding problem of GGA in the O2 molecule 37,243 . As discussed previously 244 , the DFT-GGA error in O2 does not cancel out in the energy sums and differences used in the ab initio thermodynamics framework. In the present work, we note that when U p is applied to the O2 the atomization energy error is reduced from 20% to 6%.…”
Section: Surface-phase Diagramsmentioning
confidence: 93%
“…We define the oxygen-poor limit based on the equilibrium of LiCoO2 = Li + Co + O2 is the total energy of a single LiCoO2 unit. In previous theoretical studies using this thermodynamic approach, the oxides studied contain only one metal species231,244,357 , and the other chemical potentials can all be related to μO. In the case of LiCoO2 where there are two metal species, one of them becomes an additional variable in the phase diagram.…”
mentioning
confidence: 99%