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Results for DC.creator="H." AND DC.creator="Wondratschek" in section 1.4.1 of volume A page 1 of 3 pages. |
Symbols of space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1, pp. 42-50 [ doi:10.1107/97809553602060000922 ]
... e) D6h = 6/m2/m2/m, (f) C3v = 3m, (g) , (h) T = 23. [The cubic frame in part (h) has no crystallographic meaning: it has been included to aid ... the rotation group T of the tetrahedron, see Fig. 1.4.1.1(h). O and can be derived from the rotation ...
Hermann-Mauguin symbols of the plane groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.5, pp. 48-49 [ doi:10.1107/97809553602060000922 ]
Hermann-Mauguin symbols of the plane groups 1.4.1.5. Hermann-Mauguin symbols of the plane groups The principles of the HM symbols for space groups are retained in the HM symbols for plane groups (also known as wallpaper groups). The rotation axes along c of three dimensions are replaced by rotation ...
Cubic space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.8, p. 48 [ doi:10.1107/97809553602060000922 ]
Cubic space groups 1.4.1.4.8. Cubic space groups There are five cubic crystal classes combined with the three types of lattices P, F and I in which the cubic space groups are classified. The two symmetry directions [100] and [111] are the representative directions in the space groups of the crystal classes ...
Rhombohedral space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.7.3, p. 48 [ doi:10.1107/97809553602060000922 ]
Rhombohedral space groups 1.4.1.4.7.3. Rhombohedral space groups The rhombohedral lattice may be understood as an R-centred hexagonal lattice and then referred to the hexagonal basis. It has two kinds of symmetry directions, which coincide with the primary and secondary symmetry directions of the hexagonal lattice (owing to the R centrings ...
Hexagonal space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.7.2, p. 48 [ doi:10.1107/97809553602060000922 ]
Hexagonal space groups 1.4.1.4.7.2. Hexagonal space groups Hexagonal space groups have either one or three representative symmetry directions. The space groups of crystal classes 6, and 6/m have [001] as their single symmetry direction for the axis 6 or 6k for or , and for the plane m with its normal ...
Trigonal space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.7.1, pp. 47-48 [ doi:10.1107/97809553602060000922 ]
Trigonal space groups 1.4.1.4.7.1. Trigonal space groups Trigonal space groups are characterized by threefold rotation or screw rotation or rotoinversion axes in [001]. There may be in addition 2 and 21 axes in [100] or , but only in one of these two directions. The same holds for reflections m or ...
Trigonal, hexagonal and rhombohedral space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.7, pp. 47-48 [ doi:10.1107/97809553602060000922 ]
Trigonal, hexagonal and rhombohedral space groups 1.4.1.4.7. Trigonal, hexagonal and rhombohedral space groups Hexagonal and trigonal space groups are referred to a hexagonal coordinate system P with basis vector . The basis vectors a and b span a hexagonal net and form an angle of 120°. The sequence of the ...
Tetragonal space groups with three symmetry directions
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.6.2, p. 47 [ doi:10.1107/97809553602060000922 ]
Tetragonal space groups with three symmetry directions 1.4.1.4.6.2. Tetragonal space groups with three symmetry directions There are four crystal classes with three symmetry directions each. In the corresponding space-group symbols the constituents 2, 4 and m may be replaced by , with k = 1, 2 or 3, and a, b, c ...
Tetragonal space groups with one symmetry direction
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.6.1, p. 47 [ doi:10.1107/97809553602060000922 ]
Tetragonal space groups with one symmetry direction 1.4.1.4.6.1. Tetragonal space groups with one symmetry direction In the space groups of the crystal class 4, rotation or screw rotation axes run in direction [001]; in the space groups of crystal class these are rotoinversion axes ; and in crystal class 4/m both ...
Tetragonal space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.6, p. 47 [ doi:10.1107/97809553602060000922 ]
Tetragonal space groups 1.4.1.4.6. Tetragonal space groups There are seven tetragonal crystal classes. The lattice may be P or I. The space groups of the three crystal classes 4, and 4/m have only one symmetry direction, [001]. The other four classes, 422, 4mm, and 4/m2/m2/m display ...
International Tables for Crystallography (2016). Vol. A, Section 1.4.1, pp. 42-50 [ doi:10.1107/97809553602060000922 ]
... e) D6h = 6/m2/m2/m, (f) C3v = 3m, (g) , (h) T = 23. [The cubic frame in part (h) has no crystallographic meaning: it has been included to aid ... the rotation group T of the tetrahedron, see Fig. 1.4.1.1(h). O and can be derived from the rotation ...
Hermann-Mauguin symbols of the plane groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.5, pp. 48-49 [ doi:10.1107/97809553602060000922 ]
Hermann-Mauguin symbols of the plane groups 1.4.1.5. Hermann-Mauguin symbols of the plane groups The principles of the HM symbols for space groups are retained in the HM symbols for plane groups (also known as wallpaper groups). The rotation axes along c of three dimensions are replaced by rotation ...
Cubic space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.8, p. 48 [ doi:10.1107/97809553602060000922 ]
Cubic space groups 1.4.1.4.8. Cubic space groups There are five cubic crystal classes combined with the three types of lattices P, F and I in which the cubic space groups are classified. The two symmetry directions [100] and [111] are the representative directions in the space groups of the crystal classes ...
Rhombohedral space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.7.3, p. 48 [ doi:10.1107/97809553602060000922 ]
Rhombohedral space groups 1.4.1.4.7.3. Rhombohedral space groups The rhombohedral lattice may be understood as an R-centred hexagonal lattice and then referred to the hexagonal basis. It has two kinds of symmetry directions, which coincide with the primary and secondary symmetry directions of the hexagonal lattice (owing to the R centrings ...
Hexagonal space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.7.2, p. 48 [ doi:10.1107/97809553602060000922 ]
Hexagonal space groups 1.4.1.4.7.2. Hexagonal space groups Hexagonal space groups have either one or three representative symmetry directions. The space groups of crystal classes 6, and 6/m have [001] as their single symmetry direction for the axis 6 or 6k for or , and for the plane m with its normal ...
Trigonal space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.7.1, pp. 47-48 [ doi:10.1107/97809553602060000922 ]
Trigonal space groups 1.4.1.4.7.1. Trigonal space groups Trigonal space groups are characterized by threefold rotation or screw rotation or rotoinversion axes in [001]. There may be in addition 2 and 21 axes in [100] or , but only in one of these two directions. The same holds for reflections m or ...
Trigonal, hexagonal and rhombohedral space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.7, pp. 47-48 [ doi:10.1107/97809553602060000922 ]
Trigonal, hexagonal and rhombohedral space groups 1.4.1.4.7. Trigonal, hexagonal and rhombohedral space groups Hexagonal and trigonal space groups are referred to a hexagonal coordinate system P with basis vector . The basis vectors a and b span a hexagonal net and form an angle of 120°. The sequence of the ...
Tetragonal space groups with three symmetry directions
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.6.2, p. 47 [ doi:10.1107/97809553602060000922 ]
Tetragonal space groups with three symmetry directions 1.4.1.4.6.2. Tetragonal space groups with three symmetry directions There are four crystal classes with three symmetry directions each. In the corresponding space-group symbols the constituents 2, 4 and m may be replaced by , with k = 1, 2 or 3, and a, b, c ...
Tetragonal space groups with one symmetry direction
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.6.1, p. 47 [ doi:10.1107/97809553602060000922 ]
Tetragonal space groups with one symmetry direction 1.4.1.4.6.1. Tetragonal space groups with one symmetry direction In the space groups of the crystal class 4, rotation or screw rotation axes run in direction [001]; in the space groups of crystal class these are rotoinversion axes ; and in crystal class 4/m both ...
Tetragonal space groups
International Tables for Crystallography (2016). Vol. A, Section 1.4.1.4.6, p. 47 [ doi:10.1107/97809553602060000922 ]
Tetragonal space groups 1.4.1.4.6. Tetragonal space groups There are seven tetragonal crystal classes. The lattice may be P or I. The space groups of the three crystal classes 4, and 4/m have only one symmetry direction, [001]. The other four classes, 422, 4mm, and 4/m2/m2/m display ...
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