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

International Tables for Crystallography (2013). Vol. D, ch. 3.4, p. 511


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:

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Four types of domain pairs

[F_{1j}][J_{1j}][K_{1j}] Double cosetDomain pair name symbol
[F_{1}=F_j ] [F_{1}\cup g_{1j}^{\star}F_1] [F_{1}\cup g_{1j}^{\star}F_1] [F_1g_{1j}F_1=g_{1j}F_1=(g_{1j}F_1)^{-1} ] [\underline{t}]ransposable [\underline{c} ]ompletely tc
[F_{1j}\subset F_1 ] [F_{1j}\cup g_{1j}^{\star}F_{1j} ] [F_{1}\cup g_{1j}^{\star}F_{1}\cup\,\ldots \, ] [F_1g_{1j}F_1=(F_1g_{1j}F_1)^{-1}] [\underline{t}]ransposable [\underline{p} ]artially tp
[F_{1}=F_j ] [F_{1} ] [F_{1}\cup g_{1j}F_{1}\cup g_{1j}^{-1}F_{1} ] [F_1g_{1j}F_1=g_{1j}F_1\cap (g_{1j}F_1)^{-1}=\emptyset ] [\underline{n}]on-transposable [\underline{s}]imple ns
[F_{1j}\subset F_1 ] [F_{1j} ] [F_{1}\cup g_{1j}F_{1}\cup (g_{1j}F_{1})^{-1}\cup\,\ldots ] [F_1g_{1j}F_1\cap (F_1g_{1j}F_1)^{-1}=\emptyset ] [\underline{n}]on-transposable [\underline{m}]ultiple nm