Ferroelastic domain state
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2.2.1,
p.
[ doi:10.1107/97809553602060000918 ]
of the spontaneous strain of the principal domain state [see (
3.4.2.16)]. This stabilizer, which we shall denote by, can be expressed as an intersection of the parent group G and the family group of (see Table
3.4.2.2): This equation ...
Domain states
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2,
p.
[ doi:10.1107/97809553602060000918 ]
and a comparison of these symbols with other notations in Tables
3.4.2.5 and
3.4.2.6 and in Figs.
3.4.2.3 and
3.4.2.4 .
Table
3.4.2.5 | top | pdf |
Symbols of symmetry operations of the point group ...
Property tensors associated with ferroic domain states
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2.3,
p.
[ doi:10.1107/97809553602060000918 ]
and (
3.4.2.17), respectively] and the transformation properties of these domain states [equations (
3.4.2.12) and (
3.4.2.21), respectively] follow immediately from the symmetry groups G, of the parent and ferroic phases, respectively. Now we ...
Synoptic table of ferroic transitions and domain states
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2.4,
p.
[ doi:10.1107/97809553602060000918 ]
of these symbols with other notations in Tables
3.4.2.5 and
3.4.2.6 and in Figs.
3.4.2.3 and
3.4.2.4 .
Table
3.4.2.5 | top | pdf |
Symbols of symmetry operations of the point group
Standard ...
Ferroelectric domain states
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2.2.2,
p.
[ doi:10.1107/97809553602060000918 ]
and that are given in Table
3.4.2.7 .
Aizu (1969, 1970 a) recognizes three possible cases (see also Table
3.4.2.3):
(i) Full ferroelectrics : All principal domain states differ in spontaneous polarization. In this case ...
Domain states with the same stabilizer
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2.2.3,
p.
[ doi:10.1107/97809553602060000918 ]
structures
In our illustrative example (see Fig.
3.4.2.2), we have seen that two domain states and have the same symmetry group (stabilizer) . In general, the condition `to have the same stabilizer (symmetry group)' divides ...
Principal and basic domain states
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2.1,
p.
[ doi:10.1107/97809553602060000918 ]
Clear distinction of these two notions is essential in further considerations and is illustrated in Fig.
3.4.2.1 . A ferroelectric domain structure (Fig.
3.4.2.1 a) consists of six ferroelectric domains,,, but contains ...
Degenerate (secondary) domain states, partition of principal domain states
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2.2,
p.
[ doi:10.1107/97809553602060000918 ]
within the j th secondary domain state [see equation (3.2.3.79)]: where and are representatives of the decompositions (
3.4.2.20) and (
3.4.2.23), respectively.
The secondary order parameter can be identified ...
Explanation of Table 3.4.2.7
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2.4.1,
p.
[ doi:10.1107/97809553602060000918 ]
coordinate system of the group G (see Tables
3.4.2.5 and
3.4.2.6, and Figs.
3.4.2.3 and
3.4.2.4).
Table
3.4.2.7 | top | pdf |
Group–subgroup symmetry descents
G : point-group ...
Basic (microscopic) domain states and their partition into translation subsets
Janovec, V. and
Přívratská,
International Tables for Crystallography
(2013).
Vol. D,
Section 3.4.2.5,
p.
[ doi:10.1107/97809553602060000918 ]
ferroelastic principal domain states . The conventional orthorhombic basis is (see upper left corner of Fig.
3.4.2.5). This is the same situation as in the previous example, therefore, according to equations (
3.4.2.57) and (
3.4.2.61 ...
