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Results for DC.creator="P." AND DC.creator="M." AND DC.creator="de" AND DC.creator="Wolff" in section 9.8.3 of volume C |
Introduction to the tables
International Tables for Crystallography (2006). Vol. C, Section 9.8.3, pp. 915-937 [ doi:10.1107/97809553602060000624 ]
... space. The conventional basis (, , qi) given for the vector module M* is shown such that qr = 0. The basis vectors are ... KE and KI, respectively. The basis of the vector module M* contains two modulation wavevectors and the reflections are given by ... four-dimensional space. The conventional basis (, , , ) for the vector module M* is chosen such that . The basis vectors are ...
Examples
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.5, p. 936 [ doi:10.1107/97809553602060000624 ]
... transition temperature Ti = 633K there is a modulated [gamma]-phase (de Wolff & Tuinstra, 1986). At low temperature (128K), a transition to ... the average structure determined from the main reflections is C2/m (No. 12 in International Tables for Crystallography, Volume A ) ...
Guide to the use of the tables
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.4, pp. 935-936 [ doi:10.1107/97809553602060000624 ]
... e.g. surfaces) with one- and two-dimensional modulation (Janssen, Janner & de Wolff, 1980). In the following, we discuss briefly the information ... groups for each basic group are distinguished by the number m. Furthermore, the symbol of the basic space group, the ...
Reflection conditions
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.3.2, pp. 921-935 [ doi:10.1107/97809553602060000624 ]
... vectors H left invariant by R satisfy the relation 2h + m = 0. For such a vector, the reflection condition becomes For ... indices with respect to this basis are H = h + k + m, K = h - k, L = l and m. The condition now becomes Of course, both calculations give ...
Symmetry elements
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.3.1, pp. 916-921 [ doi:10.1107/97809553602060000624 ]
... primitive translation with invariant part and the point-group generator (m, 1) one with . In the two-line symbol, one ... In the case considered, qr = 000. So the prefix is P and the same superspace group is denoted in a two ... course, in the full symbol. For example, short symbol P21/m([alpha][beta]0) and full symbol P1121/m([alpha][ ...
Tables of superspace groups
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.3, pp. 916-935 [ doi:10.1107/97809553602060000624 ]
... primitive translation with invariant part and the point-group generator (m, 1) one with . In the two-line symbol, one ... In the case considered, qr = 000. So the prefix is P and the same superspace group is denoted in a two ... course, in the full symbol. For example, short symbol P21/m([alpha][beta]0) and full symbol P1121/m([alpha][ ...
Table for geometric and arithmetic crystal classes
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.2, p. 916 [ doi:10.1107/97809553602060000624 ]
... Bravais classArithmetic crystal class(es) KEKs Triclinic 1 (1, 1) P 1P([alpha][beta][gamma]) () P P([alpha][beta][gamma]) Monoclinic 2 () 2/mP 2P([alpha][ ...
Tables of Bravais lattices
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.1, pp. 915-916 [ doi:10.1107/97809553602060000624 ]
... space. The conventional basis (, , qi) given for the vector module M* is shown such that qr = 0. The basis vectors are ... KE and KI, respectively. The basis of the vector module M* contains two modulation wavevectors and the reflections are given by ... four-dimensional space. The conventional basis (, , , ) for the vector module M* is chosen such that . The basis vectors are ...
Ambiguities in the notation
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.6, pp. 936-937 [ doi:10.1107/97809553602060000624 ]
... h + k + l = even because of the centring and l + m = even and h + m = even for h0lm because of the two glide planes perpendicular ... gamma])c*, the new indices are h, k, l', and m' with l' = l + m and m' = -m. Then the ...
International Tables for Crystallography (2006). Vol. C, Section 9.8.3, pp. 915-937 [ doi:10.1107/97809553602060000624 ]
... space. The conventional basis (, , qi) given for the vector module M* is shown such that qr = 0. The basis vectors are ... KE and KI, respectively. The basis of the vector module M* contains two modulation wavevectors and the reflections are given by ... four-dimensional space. The conventional basis (, , , ) for the vector module M* is chosen such that . The basis vectors are ...
Examples
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.5, p. 936 [ doi:10.1107/97809553602060000624 ]
... transition temperature Ti = 633K there is a modulated [gamma]-phase (de Wolff & Tuinstra, 1986). At low temperature (128K), a transition to ... the average structure determined from the main reflections is C2/m (No. 12 in International Tables for Crystallography, Volume A ) ...
Guide to the use of the tables
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.4, pp. 935-936 [ doi:10.1107/97809553602060000624 ]
... e.g. surfaces) with one- and two-dimensional modulation (Janssen, Janner & de Wolff, 1980). In the following, we discuss briefly the information ... groups for each basic group are distinguished by the number m. Furthermore, the symbol of the basic space group, the ...
Reflection conditions
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.3.2, pp. 921-935 [ doi:10.1107/97809553602060000624 ]
... vectors H left invariant by R satisfy the relation 2h + m = 0. For such a vector, the reflection condition becomes For ... indices with respect to this basis are H = h + k + m, K = h - k, L = l and m. The condition now becomes Of course, both calculations give ...
Symmetry elements
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.3.1, pp. 916-921 [ doi:10.1107/97809553602060000624 ]
... primitive translation with invariant part and the point-group generator (m, 1) one with . In the two-line symbol, one ... In the case considered, qr = 000. So the prefix is P and the same superspace group is denoted in a two ... course, in the full symbol. For example, short symbol P21/m([alpha][beta]0) and full symbol P1121/m([alpha][ ...
Tables of superspace groups
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.3, pp. 916-935 [ doi:10.1107/97809553602060000624 ]
... primitive translation with invariant part and the point-group generator (m, 1) one with . In the two-line symbol, one ... In the case considered, qr = 000. So the prefix is P and the same superspace group is denoted in a two ... course, in the full symbol. For example, short symbol P21/m([alpha][beta]0) and full symbol P1121/m([alpha][ ...
Table for geometric and arithmetic crystal classes
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.2, p. 916 [ doi:10.1107/97809553602060000624 ]
... Bravais classArithmetic crystal class(es) KEKs Triclinic 1 (1, 1) P 1P([alpha][beta][gamma]) () P P([alpha][beta][gamma]) Monoclinic 2 () 2/mP 2P([alpha][ ...
Tables of Bravais lattices
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.1, pp. 915-916 [ doi:10.1107/97809553602060000624 ]
... space. The conventional basis (, , qi) given for the vector module M* is shown such that qr = 0. The basis vectors are ... KE and KI, respectively. The basis of the vector module M* contains two modulation wavevectors and the reflections are given by ... four-dimensional space. The conventional basis (, , , ) for the vector module M* is chosen such that . The basis vectors are ...
Ambiguities in the notation
International Tables for Crystallography (2006). Vol. C, Section 9.8.3.6, pp. 936-937 [ doi:10.1107/97809553602060000624 ]
... h + k + l = even because of the centring and l + m = even and h + m = even for h0lm because of the two glide planes perpendicular ... gamma])c*, the new indices are h, k, l', and m' with l' = l + m and m' = -m. Then the ...
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