1969
DOI: 10.1007/bf00550650
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Lattice self-potentials and madelung constants for some compounds

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Cited by 149 publications
(26 citation statements)
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“…Although often ignored, the VR(r) potential is the actual responsible for the ground state of K2ZnF4:Cu 2+ 56 or the different color displayed by ruby, emerald or alexandrite gemstones 57 . Calculations have been performed by means of the Ewald method 58,59 , following the procedure described in 57 . In these calculations we have used the ionic charges obtained in the first-principles geometry optimizations.…”
Section: Methodsmentioning
confidence: 99%
“…Although often ignored, the VR(r) potential is the actual responsible for the ground state of K2ZnF4:Cu 2+ 56 or the different color displayed by ruby, emerald or alexandrite gemstones 57 . Calculations have been performed by means of the Ewald method 58,59 , following the procedure described in 57 . In these calculations we have used the ionic charges obtained in the first-principles geometry optimizations.…”
Section: Methodsmentioning
confidence: 99%
“…where v is the equivalent volume of the reaction product which forms by the transport of one mole of La3 ions .--J--D;a(T) J aO,dp.L, [18] [3] [4] log P02 [5] [61 [11] The concentration of lanthanum vacancies is proportional to P'6 and a4203. Substituting Eq.…”
Section: Ut31mentioning
confidence: 99%
“…Finally, the image charge corrections for charged vacancies proposed by Lany and Zunger 57 have been computed from which are added to the calculated formation energies. In Equation 8 , α M is the Madelung constant of a perovskite-like structure 58 , ε is the experimental dielectric constant of CZO 59 and L is edge of the structure used for simulating charged vacancy defects in CZO. The calculated formation energies at points A, B, C, D and X for neutral and fully-charged vacancy defects are displayed in Fig.…”
Section: Resultsmentioning
confidence: 99%