This book (Practical Electron Microscopy and Database) is a reference for TEM and SEM students, operators, engineers, technicians, managers, and researchers.
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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 |
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