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Results for DC.creator="W." AND DC.creator="Fischer" in section 3.4.4 of volume A |
Applications of the lattice-complex concept
International Tables for Crystallography (2016). Vol. A, Section 3.4.4, pp. 800-824 [ doi:10.1107/97809553602060000932 ]
... tetragonal symmetry forms an example for this kind of procedure (Fischer, 1973, 1974, 1991a,b, 1993). The cubic lattice complex ... with four-membered rings and six contacts per sphere (cf. Fischer, 1973). Ag3PO4 crystallizes with symmetry (Deschizeaux-Cheruy et al. ... 1973, 1984) and of sphere packings for subperiodic groups (Koch & Fischer, 1978b). The 30 lattice complexes in two-dimensional ...
Application of descriptive lattice-complex symbols
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.6, p. 824 [ doi:10.1107/97809553602060000932 ]
... 2001). References Johnson, C. K., Burnett, M. N. & Dunbar, W. D. (2001). Crystallographic topology and its applications. In Crystallographic ...
Incorrect space-group assignment
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.5, p. 824 [ doi:10.1107/97809553602060000932 ]
Incorrect space-group assignment 3.4.4.5. Incorrect space-group assignment In the literature, some crystal structures are still described within space groups that are only subgroups of the correct symmetry groups. Many such mistakes (but not all of them) could be avoided by simply looking at the lattice complexes (and their descriptive ...
Phase transitions
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.4, pp. 823-824 [ doi:10.1107/97809553602060000932 ]
Phase transitions 3.4.4.4. Phase transitions If a crystal undergoes a phase transition from a high- to a low-symmetry modification, the transition may be connected with a group-subgroup transition. In such cases, the comparison of the lattice complexes corresponding to the Wyckoff positions of the original space group on the ...
Reflection conditions
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.3, p. 823 [ doi:10.1107/97809553602060000932 ]
Reflection conditions 3.4.4.3. Reflection conditions Wyckoff positions belonging to the same lattice complex show analogous reflection conditions. Therefore, lattice complexes have also been used to check the reflection conditions for all Wyckoff positions in the space-group tables of this volume. Example The lattice complex oF consists of all face-centred ...
Relations between crystal structures
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.2, p. 823 [ doi:10.1107/97809553602060000932 ]
... O atoms form a body-centred cubic lattice like the W atoms in the structure of tungsten, and the copper atoms ... Loeb (1970), Smirnova & Vasserman (1971), Sakamoto & Takahasi (1971), Niggli (1971), Fischer & Koch (1974b), Hellner et al. (1981) and Hellner & Sowa (1985 ... of the first long period. Acta Cryst. 3, 34-40. Fischer, W. & Koch, E. (1974b). Kubische Strukturtypen mit festen ...
Geometrical properties of point configurations
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.1, pp. 800-823 [ doi:10.1107/97809553602060000932 ]
... tetragonal symmetry forms an example for this kind of procedure (Fischer, 1973, 1974, 1991a,b, 1993). The cubic lattice complex ... with four-membered rings and six contacts per sphere (cf. Fischer, 1973). Ag3PO4 crystallizes with symmetry (Deschizeaux-Cheruy et al. ... 1973, 1984) and of sphere packings for subperiodic groups (Koch & Fischer, 1978b). The 30 lattice complexes in two-dimensional ...
Weissenberg complexes
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.7, p. 824 [ doi:10.1107/97809553602060000932 ]
Weissenberg complexes 3.4.4.7. Weissenberg complexes In general, each lattice complex involves point configurations that cannot be related to any crystal structure because the shortest distances between the atoms in a corresponding arrangement would become too small. Only the 67 Weissenberg complexes (cf. Section 3.4.1.5.2) form an exception from this rule. Assuming ...
International Tables for Crystallography (2016). Vol. A, Section 3.4.4, pp. 800-824 [ doi:10.1107/97809553602060000932 ]
... tetragonal symmetry forms an example for this kind of procedure (Fischer, 1973, 1974, 1991a,b, 1993). The cubic lattice complex ... with four-membered rings and six contacts per sphere (cf. Fischer, 1973). Ag3PO4 crystallizes with symmetry (Deschizeaux-Cheruy et al. ... 1973, 1984) and of sphere packings for subperiodic groups (Koch & Fischer, 1978b). The 30 lattice complexes in two-dimensional ...
Application of descriptive lattice-complex symbols
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.6, p. 824 [ doi:10.1107/97809553602060000932 ]
... 2001). References Johnson, C. K., Burnett, M. N. & Dunbar, W. D. (2001). Crystallographic topology and its applications. In Crystallographic ...
Incorrect space-group assignment
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.5, p. 824 [ doi:10.1107/97809553602060000932 ]
Incorrect space-group assignment 3.4.4.5. Incorrect space-group assignment In the literature, some crystal structures are still described within space groups that are only subgroups of the correct symmetry groups. Many such mistakes (but not all of them) could be avoided by simply looking at the lattice complexes (and their descriptive ...
Phase transitions
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.4, pp. 823-824 [ doi:10.1107/97809553602060000932 ]
Phase transitions 3.4.4.4. Phase transitions If a crystal undergoes a phase transition from a high- to a low-symmetry modification, the transition may be connected with a group-subgroup transition. In such cases, the comparison of the lattice complexes corresponding to the Wyckoff positions of the original space group on the ...
Reflection conditions
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.3, p. 823 [ doi:10.1107/97809553602060000932 ]
Reflection conditions 3.4.4.3. Reflection conditions Wyckoff positions belonging to the same lattice complex show analogous reflection conditions. Therefore, lattice complexes have also been used to check the reflection conditions for all Wyckoff positions in the space-group tables of this volume. Example The lattice complex oF consists of all face-centred ...
Relations between crystal structures
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.2, p. 823 [ doi:10.1107/97809553602060000932 ]
... O atoms form a body-centred cubic lattice like the W atoms in the structure of tungsten, and the copper atoms ... Loeb (1970), Smirnova & Vasserman (1971), Sakamoto & Takahasi (1971), Niggli (1971), Fischer & Koch (1974b), Hellner et al. (1981) and Hellner & Sowa (1985 ... of the first long period. Acta Cryst. 3, 34-40. Fischer, W. & Koch, E. (1974b). Kubische Strukturtypen mit festen ...
Geometrical properties of point configurations
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.1, pp. 800-823 [ doi:10.1107/97809553602060000932 ]
... tetragonal symmetry forms an example for this kind of procedure (Fischer, 1973, 1974, 1991a,b, 1993). The cubic lattice complex ... with four-membered rings and six contacts per sphere (cf. Fischer, 1973). Ag3PO4 crystallizes with symmetry (Deschizeaux-Cheruy et al. ... 1973, 1984) and of sphere packings for subperiodic groups (Koch & Fischer, 1978b). The 30 lattice complexes in two-dimensional ...
Weissenberg complexes
International Tables for Crystallography (2016). Vol. A, Section 3.4.4.7, p. 824 [ doi:10.1107/97809553602060000932 ]
Weissenberg complexes 3.4.4.7. Weissenberg complexes In general, each lattice complex involves point configurations that cannot be related to any crystal structure because the shortest distances between the atoms in a corresponding arrangement would become too small. Only the 67 Weissenberg complexes (cf. Section 3.4.1.5.2) form an exception from this rule. Assuming ...
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