|
This book (Practical Electron Microscopy and Database) is a reference for TEM and SEM students, operators, engineers, technicians, managers, and researchers.
|
=================================================================================
Table 3554a and Figure 3554 show the triclinic crystal system and the schematic illustration of the triclinic lattice, respectively.
Table 3554a. Triclinic crystal systems.
Crystal
family |
Crystal
system |
Required
symmetries
of point group |
Point
group |
Space
group |
|
Lattice
system |
Triclinic |
None |
2 |
2 |
1 |
Triclinic |

Figure 3554. Schematic illustrations of the Bravais
lattice of triclinic crystals.
Table 3554b. Relationship between Laue classes and point groups.
| System |
Essential symmetry |
Lattice symmetry |
Laue class (Diffraction symmetry) |
Point Groups (Hermann–Mauguin notation) |
| Triclinic |
None |
 |
 |
1, -1 |
| Monoclinic |
 |
2/m |
2/m |
2, m, 2/m |
| Orthorhombic |
222 or 2mm
|
mmm
|
mmm |
222, mm2, mmm |
| Tetragonal |
 |
4/mmm
|
4/m
|
4, -4, 4/m |
| 4/mmm |
422, -42m, 4mm, 4/mmm |
| Trigonal |
 |
 |
3 |
3, -3 |
| -3m1 |
321, 3m1, -3m1 |
| -31m |
312, 31m, -31m |
| Hexagonal |
 |
6/mmm
|
6/m |
6, -6, 6/m |
| 6/mmm |
622, -62m, 6mm, 6/mmm |
| Cubic |
23 |
m3m
|
m-3 |
23, m-3 |
| m-3m |
432, -43m, m-3m |
For triclinic structures, the lattice spacing (d-spacing) can be given by, (You can download the excel file for your own calculations)
--------------------------------- [3554a]
--------------------------------- [3554b]
where,
a, b and c -- The lattice constants.
h, k, and l -- The Miller indices.
Table 3554c. Centrosymmetric, non-centrosymmetric, and chiral space groups for triclinic crystals.
Table 3554d. Other characteristics of triclinic structures.
Contents |
Page |
| Angles in unit cells |
page3555 |
| Volume of unit cells |
page3033 |
| Bravais lattices |
page4546 |
| Relationship between three-dimensional crystal families, crystal systems, space group, point group, lattice systems and symmetries |
page4549 |
|