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Application of an Ion‐Packing Model Based on Defect Clusters to Zirconia Solid Solutions: II, Applicability of Vegard's Law
Author(s) -
Yashima Masatomo,
Ishizawa Nobuo,
Yoshimura Masahiro
Publication year - 1992
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1992.tb04223.x
Subject(s) - tetragonal crystal system , dopant , solid solution , lattice constant , formula unit , ion , lattice (music) , cubic zirconia , ionic bonding , crystallography , materials science , thermodynamics , analytical chemistry (journal) , chemistry , crystal structure , mineralogy , doping , diffraction , physics , ceramic , optoelectronics , organic chemistry , chromatography , acoustics , optics , metallurgy , composite material
Lattice parameter data of cubic phases and cube roots of unit cell volumes of tetragonal phases in homogeneous ZrO 2 ‐containing solid solutions were compiled to examine the validity of Vegard's law. Except for ZrO 2 –CeO 2 and ZrO 2 –UO 2 systems, the data for cubic phases were expressed by the equation d = a s X + b , where d , a s , X , and b denote the lattice parameter, a constant depending on dopant species, the dopant content, and a constant independent of dopant species, respectively. For tetragonal phases, the cube roots of unit‐cell volumes could be fitted by a similar equation except for the data in the ZrO 2 –MO 2 systems (M = Ge and U). The constant a s was calculated using an ion‐packing model and was independent of the defect cluster models. The calculated a s is close to the experimentally observed one, although the former is slightly smaller than the latter in the ZrO 2 –MO u systems ( u = 1 and 1.5). This difference was ascribed to the lack of consideration of the ionic distortions from the ideal sites of the fluorite‐type structure.