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

International Tables for Crystallography (2013). Vol. D, ch. 3.4, p. 531


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
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Action of four types of operations g on a twin [({\bf S}_1 |{\bf n}| {\bf S}_j) ]

Operation g keeps the orientation of the plane p unchanged.

g[g{\bf S}_1 ][g{\bf S}_j ][g{\bf n}][g({\bf S}_1 | ][g|{\bf S}_j) ][g({\bf S}_1 |{\bf n}| {\bf S}_j)=(g{\bf S}_1|g{\bf n}|g{\bf S}_j) ]Resulting twin
[f_{1j}] [{\bf S}_1 ] [{\bf S}_j ] [{\bf n}] [({\bf S}_1| ] [|{\bf S}_j) ] [({\bf S}_1 |{\bf n}|{\bf S}_j) ] Initial twin
[\underline{s}_{1j} ] [{\bf S}_1 ] [{\bf S}_j ] [{\bf -n} ] [|{\bf S}_1)] [({\bf S}_j| ] [({\bf S}_1|-{\bf n}|{\bf S}_j)\equiv({\bf S}_j|{\bf n}|{\bf S}_1) ] Reversed twin
[{r}_{1j}^{\star} ] [{\bf S}_j ] [{\bf S}_1 ] [{\bf n}] [({\bf S}_j| ] [|{\bf S}_1)] [({\bf S}_j |{\bf n}|{\bf S}_1) ] Reversed twin
[\underline{t}_{1j}^{\star} ] [{\bf S}_j ] [{\bf S}_1] [-{\bf n}] [|{\bf S}_j) ] [({\bf S}_1| ] [({\bf S}_j |{\bf {-n}}| {\bf S}_1) \equiv ({\bf S}_1 |{\bf {n}}| {\bf S}_j) ] Initial twin