The S-type domain and twin boundaries in plate-like PbZrO₃crystals having complicated twinned structures

Abstract

Four kinds of S-type domain and twin boundaries in the ferroelectric R3m and antiferroelectric Pbam phases of plate-like PbZrO3 crystals with complicated twinned structures have been described. Conditions for thermal stability of S-boundary orientations in perovskites have been formulated.

Heterophase states and dual structures in(1−x)PbZn1∕3Nb2∕3OTopolov1 2005Phys. Rev. B8110View full textAdd to dashboardCite

“…Moreover, the volume concentrations n and m of the concrete S j regions ͑see Table I͒ obey a condition n Ϸ 1−m in narrow ranges 0.03ഛ n ഛ 0.09 and 0.91ഛ n ഛ 0.97 where the ZNSPs appear. In these ranges, an elastic interaction between the OSs in the adjacent phases becomes like that between non-180°domains in the PbZrO 3 single crystal with the S-type domain boundary 22 in the ferroelectric R3m phase. The corresponding orientations of the ZNSPs in the poled PZN single crystal are determined according to formulas from Refs.…”

A crystallographic analysis of the macrodomain structure in Pb(Mg1/3Nb2/3)O3

“…To date one can give an example of a short crystallographic study of the domain (twin) structure in the 3m phase of platelike PbZr0 3 crystals only [16,22). The formation and rearrangement of the domains during the induced and/or the diffuse phase transitions in the relaxor ferroelectric crystals have not yet been studied by crystallographic methods.…”

“…The analysis of the conditions for the zero-net-strain plane at the domain boundary [10,16,22] shows the presence of such { lOOlcub planes between each two domain types, propagating in the platelike crystaL An insertion of the third domain type results in excessive mechanical stress. Taking into account an interaction between the domains with P,nd.I (volume concentration m) and P,nct.z (volume concentration 1-m) and the domain with P,nct, 3 for example, we have the distortion matrices in the form of (10) respectively.…”

“…Equations (12) may be interpreted as the conditions analogous to the ones for elastic matching of the four domain types (60° and 90°) in the orthorhombic phases of perovskite ferroelectric crystals [ 16,22,231 and may also be used for the description of 180° domain .·----. formation during the switching process in PMN.…”

“…However, it is in general a very difficult problem to determine the domain structure parameters by minimization of the free energy containing different contributions. In the previous papers much attention was given to the study of the elastic interactions in ferroelastic [9), ferroelectric ll0-12] and antiferroelectric [13,14] theory [10] has been shown to be effective for prediction of the equilibrium domain structures and phase boundaries, being the zero-net-strain (stress-free) planes [15,16]. The purpose of the present work was to study the domain structure and phase boundary related to the electric-field-induced m3m -+ 3m phase transition in thin PMN crystal samples, by means of the crystallographic method developed previously.…”