International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2013). Vol. D, ch. 3.4, pp. 527-528

Section 3.4.3.6.5. Ferroelastic domain pairs with no compatible domain walls, synoptic table

V. Janoveca* and J. Přívratskáb

aInstitute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, CZ-18221 Prague 8, Czech Republic, and bDepartment of Mathematics and Didactics of Mathematics, Technical University of Liberec, Hálkova 6, 461 17 Liberec 1, Czech Republic
Correspondence e-mail:  janovec@fzu.cz

3.4.3.6.5. Ferroelastic domain pairs with no compatible domain walls, synoptic table

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Ferroelastic domain pairs for which condition (3.4.3.54[link]) for the existence of coherent domain walls is violated are listed in Table 3.4.3.7[link]. All these pairs are non-transposable pairs. It is expected that domain walls between ferroelastic domain states would be stressed and would contain dislocations. Dudnik & Shuvalov (1989[link]) have shown that in thin samples, where elastic stresses are reduced, `almost coherent' ferroelastic domain walls may exist.

Table 3.4.3.7| top | pdf |
Ferroelastic domain pairs with no compatible domain walls

[F_1] is the symmetry of [{\bf S}_1], [g_{1j} ] is the switching operation, [K_{1j}] is the twinning group. Pair is the domain pair type, where ns is non-transposable simple and nm is non-transposable multiple (see Table 3.4.3.2[link]). [ v= z], [p=[111]], [q=[\bar 1\bar 11]], [r =[1\bar 1\bar 1]], [s=[\bar 1 1 \bar 1]] (see Table 3.4.2.5[link] and Fig. 3.4.2.3[link]).

[F_1][g_{1j} ][K_{1j} ]Pair
[1 ] [4_z ] [4_z ] ns
[1 ] [\bar4_z] [\bar4_z ] ns
[1 ] [3_v] [3_v] ns
[1 ] [\bar3_v] [\bar3_v] ns
[1 ] [6_z ] [6_z ] ns
[1 ] [\bar6_z] [\bar6_z ] ns
[\bar1 ] [4_z], [4_z^3] [4_z/m_z ] ns
[\bar1 ] [3_v], [3_v^2] [\bar3_v] ns
[\bar1 ] [6_z], [6_z^5] [6_z/m_z ] ns
[2_z ] [3_p], [3_p^2] [2_z3_p ] nm
[2_z ] [\bar3_p], [\bar3_p^5 ] [m_z\bar3_p] nm
[2_{xy} ] [3_p], [3_p^2] [4_z3_p2_{xy} ] nm
[2_{xy} ] [\bar3_p], [\bar3_p^5 ] [m_z\bar3_pm_{xy}] nm
[m_z ] [3_p], [3_p^2] [m_z3_p^2 ] nm
[m_{xy} ] [3_p], [3_p^2] [\bar4_z3_pm_{xy} ] nm
[m_{xy} ] [4_x], [4_x^3] [m_z\bar3_pm_{xy}] nm
[2_z/m_z ] [3_p], [3_p^2] [m_z\bar3_p] nm
[2_{xy}/m_{xy} ] [3_p], [3_p^2] [m_z\bar3_pm_{xy}] nm
[2_x2_y2_z ] [3_p], [3_p^2] [2_z3_p ] ns
[2_x2_y2_z ] [\bar3_p], [\bar3_p^5 ] [m_z\bar3_p ] ns
[m_xm_y2_z ] [3_p], [3_p^2 ] [m_z\bar3_p ] nm
[m_xm_ym_z ] [3_p], [3_p^2 ] [m_z\bar3_p ] ns

Example 3.4.3.8. Ferroelastic crystal of langbeinite.  Langbeinite K2Mg2(SO4)3 undergoes a phase transition with symmetry descent [23\supset 222] that appears in Table 3.4.3.7[link]. The ferroelastic phase has three ferroelastic domain states. Dudnik & Shuvalov (1989[link]) found, in accord with their theoretical predictions, nearly linear `almost coherent' domain walls accompanied by elastic stresses in crystals thinner than 0.5 mm. In thicker crystals, elastic stresses became so large that crystals were cracking and no domain walls were observed.

Similar effects were reported by the same authors for the partial ferroelastic phase of CH3NH3Al(SO4)2·12H2O (MASD) with symmetry descent [\bar 3m\supset mmm], where ferroelastic domain walls were detected only in thin samples.

References

Dudnik, E. F. & Shuvalov, L. A. (1989). Domain structure and phase boundaries in ferroelastics. Ferroelectrics, 98, 207–234.








































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