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π‐Rotation Faults in Hexagonal BaTiO 3
Author(s) -
Wu YuChuan,
Lu HongYang
Publication year - 2004
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.1551-2916.2004.01753.x
Subject(s) - rotation (mathematics) , fault (geology) , stacking fault , hexagonal crystal system , clockwise , crystallography , geology , physics , materials science , stacking , geometry , seismology , chemistry , mathematics , nuclear magnetic resonance
Planar defects in the metastably retained h‐BaTiO 3 exhibiting α‐fringe pattern have been characterized via transmission electron microscopy (TEM). The eligible fault vectors were determined by adopting the invisibility criteria of 2πg·R = 0 or 2 n π augmented by high‐resolution imaging. Three stacking faults, F 1 , F 2 , and F 3 , of the extrinsic nature have been fully analyzed. The eligible fault vectors for faults F 1 and F 3 contained a basal component respectively of ⅓[0001] and ⅙[0001] and a common prismatic component of ⅓〈10[1‐macr]0〉. However, only three of the 〈10[1‐macr]0〉 vectors are the eligible prismatic component for the fault vectors R F1 =⅓[0[1‐macr]11], ⅓[10[1‐macr]1], and ⅓[[1‐macr]101], and R F3 =⅙[02[2‐macr]1], ⅙[2[2‐macr]01], and ⅙[[2‐macr]021] that have fulfilled the invisibility criteria. On the other hand, all fault vectors R F21 =⅙〈[4‐macr]223〉 for fault F 2 , containing six vectors of the 〈[2‐macr]110〉 family, is eligible. Unlike the faults of πR F =⅙〈[2‐macr]203〉 found in the D0 19 intermetallics of Ni 3 Sn and Co 3 W, neither fault F 1 nor F 3 is the π‐rotation type. Fault F 2 , however, is a π‐rotation fault since a 60°‐rotation clockwise about [0001] has produced another eligible fault vector.