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Results for DC.creator="B." AND DC.creator="Souvignier" in section 1.3.4 of volume A |
Classification of space groups
International Tables for Crystallography (2016). Vol. A, Section 1.3.4, pp. 31-41 [ doi:10.1107/97809553602060000921 ]
... the identity , the twofold rotation , the n glide and the b glide . This subgroup is of type Pb2n, which is ... the left diagram is shifted by along either a or b. Figure 1.3.4.2 | | Space-group diagram of (left) and its reflection ... rotation axis, a is perpendicular to the reflection plane and b is the image of a under the threefold rotation ( ...
Crystal systems
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4.3, pp. 39-40 [ doi:10.1107/97809553602060000921 ]
Crystal systems 1.3.4.4.3. Crystal systems The point groups contained in a geometric crystal class can act on different Bravais types of lattices, which is the reason why lattice systems do not classify point groups. But the action on different types of lattices can be exploited for a classification of point groups ...
Lattice systems
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4.2, p. 39 [ doi:10.1107/97809553602060000921 ]
Lattice systems 1.3.4.4.2. Lattice systems It is sometimes convenient to group together those Bravais types of lattices for which the Bravais groups belong to the same holohedry. Definition Two lattices belong to the same lattice system if their Bravais groups belong to the same geometric crystal class (which is thus a ...
Arithmetic crystal classes
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4.1, pp. 37-39 [ doi:10.1107/97809553602060000921 ]
... rotation axis symbol N and every glide-plane symbol a, b, c, d, e, n by the symbol m for a ... the conventional basis of a hexagonal lattice, with a and b of the same length and enclosing an angle of 120 ... and c perpendicular to the plane spanned by a and b. One now sees that in the reflection planes of , ...
Other classifications of space groups
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4, pp. 37-41 [ doi:10.1107/97809553602060000921 ]
... rotation axis symbol N and every glide-plane symbol a, b, c, d, e, n by the symbol m for a ... the conventional basis of a hexagonal lattice, with a and b of the same length and enclosing an angle of 120 ... and c perpendicular to the plane spanned by a and b. One now sees that in the reflection planes of , ...
Bravais types of lattices and Bravais classes
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.3, pp. 34-37 [ doi:10.1107/97809553602060000921 ]
... 136) with a primitive tetragonal cell with cell parameters a = b = 4.594Å and c = 2.959Å. The metric tensor of the ... has (at low temperatures) a primitive tetragonal cell with a = b = 4.971Å and c = 6.928Å, and the space-group type is ... has a body-centred tetragonal cell with cell parameters a = b = 6.607Å and c = 5.982Å. The body-centred translation ...
Geometric crystal classes
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.2, pp. 33-34 [ doi:10.1107/97809553602060000921 ]
... rotation axis, a is perpendicular to the reflection plane and b is the image of a under the threefold rotation (i.e. b lies in the plane perpendicular to the rotation axis and ...
Space-group types
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.1, pp. 31-33 [ doi:10.1107/97809553602060000921 ]
... the identity , the twofold rotation , the n glide and the b glide . This subgroup is of type Pb2n, which is ... the left diagram is shifted by along either a or b. Figure 1.3.4.2 | | Space-group diagram of (left) and its reflection ...
Crystal families
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4.4, pp. 40-41 [ doi:10.1107/97809553602060000921 ]
Crystal families 1.3.4.4.4. Crystal families The classification into crystal systems has many important applications, but it has the disadvantage that it is not compatible with the classification into lattice systems. Space groups that belong to the hexagonal lattice system are distributed over the trigonal and the hexagonal crystal system. Conversely, space ...
International Tables for Crystallography (2016). Vol. A, Section 1.3.4, pp. 31-41 [ doi:10.1107/97809553602060000921 ]
... the identity , the twofold rotation , the n glide and the b glide . This subgroup is of type Pb2n, which is ... the left diagram is shifted by along either a or b. Figure 1.3.4.2 | | Space-group diagram of (left) and its reflection ... rotation axis, a is perpendicular to the reflection plane and b is the image of a under the threefold rotation ( ...
Crystal systems
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4.3, pp. 39-40 [ doi:10.1107/97809553602060000921 ]
Crystal systems 1.3.4.4.3. Crystal systems The point groups contained in a geometric crystal class can act on different Bravais types of lattices, which is the reason why lattice systems do not classify point groups. But the action on different types of lattices can be exploited for a classification of point groups ...
Lattice systems
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4.2, p. 39 [ doi:10.1107/97809553602060000921 ]
Lattice systems 1.3.4.4.2. Lattice systems It is sometimes convenient to group together those Bravais types of lattices for which the Bravais groups belong to the same holohedry. Definition Two lattices belong to the same lattice system if their Bravais groups belong to the same geometric crystal class (which is thus a ...
Arithmetic crystal classes
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4.1, pp. 37-39 [ doi:10.1107/97809553602060000921 ]
... rotation axis symbol N and every glide-plane symbol a, b, c, d, e, n by the symbol m for a ... the conventional basis of a hexagonal lattice, with a and b of the same length and enclosing an angle of 120 ... and c perpendicular to the plane spanned by a and b. One now sees that in the reflection planes of , ...
Other classifications of space groups
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4, pp. 37-41 [ doi:10.1107/97809553602060000921 ]
... rotation axis symbol N and every glide-plane symbol a, b, c, d, e, n by the symbol m for a ... the conventional basis of a hexagonal lattice, with a and b of the same length and enclosing an angle of 120 ... and c perpendicular to the plane spanned by a and b. One now sees that in the reflection planes of , ...
Bravais types of lattices and Bravais classes
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.3, pp. 34-37 [ doi:10.1107/97809553602060000921 ]
... 136) with a primitive tetragonal cell with cell parameters a = b = 4.594Å and c = 2.959Å. The metric tensor of the ... has (at low temperatures) a primitive tetragonal cell with a = b = 4.971Å and c = 6.928Å, and the space-group type is ... has a body-centred tetragonal cell with cell parameters a = b = 6.607Å and c = 5.982Å. The body-centred translation ...
Geometric crystal classes
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.2, pp. 33-34 [ doi:10.1107/97809553602060000921 ]
... rotation axis, a is perpendicular to the reflection plane and b is the image of a under the threefold rotation (i.e. b lies in the plane perpendicular to the rotation axis and ...
Space-group types
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.1, pp. 31-33 [ doi:10.1107/97809553602060000921 ]
... the identity , the twofold rotation , the n glide and the b glide . This subgroup is of type Pb2n, which is ... the left diagram is shifted by along either a or b. Figure 1.3.4.2 | | Space-group diagram of (left) and its reflection ...
Crystal families
International Tables for Crystallography (2016). Vol. A, Section 1.3.4.4.4, pp. 40-41 [ doi:10.1107/97809553602060000921 ]
Crystal families 1.3.4.4.4. Crystal families The classification into crystal systems has many important applications, but it has the disadvantage that it is not compatible with the classification into lattice systems. Space groups that belong to the hexagonal lattice system are distributed over the trigonal and the hexagonal crystal system. Conversely, space ...
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