1997
DOI: 10.1103/physrevlett.78.4063
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First-Principles Determination of the Soft Mode in CubicZrO2

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Cited by 2,582 publications
(1,369 citation statements)
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“…Our calculations show that the Q2D BiF structure [shown in Fig. 1(a) 22,23 (see Supplementary Fig. S1) indicate that Bi 4 F 4 is dynamically stable.…”
Section: Resultsmentioning
confidence: 72%
“…Our calculations show that the Q2D BiF structure [shown in Fig. 1(a) 22,23 (see Supplementary Fig. S1) indicate that Bi 4 F 4 is dynamically stable.…”
Section: Resultsmentioning
confidence: 72%
“…Such coefficients are determined by the shrinking factors L i , as well as by integers k i ranging from 0 to L i À 1, thus including G and points within the FBZ. Phonons at k points other than G can be obtained using the direct method, [45][46][47] which requires the construction of supercells (SC) of the original unit cell:…”
Section: Phonon Dispersionmentioning
confidence: 99%
“…In calculating the phonon dispersion curves and the phonon density of states, the Hellmann-Feynman theorem and the direct method [29] are employed. For the BZ integration, the 3×3×3 Monkhorst-Pack k -point mesh is used for the 2×2×2 ThN supercell which contains 64 atoms.…”
Section: E Phonon Dispersion Curvementioning
confidence: 99%