Table 3017a. C2/m (12) space group.
Name in the International Tables for Crystallography |
C2/m |
|
C |
|
12 |
|
2/m |
Crystal system |
Monoclinic |
|
2/m |
Asymm |
0 ≤ x ≤ 1/2 and 0 ≤ y ≤ 1/4 and 0 ≤ z ≤ 1 |
|
8 |
Symmetry (atomic coordinates) |
X, Y, Z;
X, -Y, Z;
-X, Y, -Z;
-X, -Y, -Z;
1/2+X, 1/2+Y, Z;
1/2+X, 1/2-Y, Z;
1/2-X, 1/2+Y, -Z;
1/2-X, 1/2-Y, -Z |
| Forbidden reflections |
The three space groups C2/m, C2 and Cm have the same systematic forbidden reflections which are caused by the C-centering (h+k = 2n+1). The other symmetry operations in the three space groups, e.g. 2-fold rotation axis (2) and mirror plane (m) in the C2/m space group, do not cause forbidden reflections. |
Crystal examples |
MoCl3 (molybdenum chloride):
Mo at 0, 0.1417, 0,
Cl1 at 0.502, 0.17, 0.223, and
Cl2 at 0.0080, 0, 0.274.
Na2Ti6O13. |
Table 3017b. A2/m space group.
Name in the International Tables for Crystallography |
A2/m |
|
A |
|
|
|
|
Crystal system |
Monoclinic |
|
|
Asymm |
|
|
|
Symmetry (atomic coordinates) |
x, y, z; -x, -y, z; -x, -y, -z; x, y, -z |
Crystal examples |
HICl4•4H2O, HAuCl4•4H2O
PbMnO2.75: a = 3.2232 nm, b = 0.3831 nm, c = 3.5671 nm, β = 130°.
Y7Ge2O12(F,OH)5: a = 0.5551 nm, b = 1.1287 nm, c = 1.2121 nm, γ = 108.84°.
Prototype R3T29 structure: e.g. R3(Fe,Co)29, Nd3(Fe,Ti)29, Nd3Fe29-xTix
TiO0.9 - TiO1.1 |
|
|
|
[1 0 -3] monoclinic sodium hexatitanate Na2Ti6O13
(a = 15.131 Å, b = 3.745 Å, c = 9.159Å, β = 99.3°) [1] |
[1 -1 -3] monoclinic sodium hexatitanate Na2Ti6O13
(a = 15.131 Å, b = 3.745 Å, c = 9.159Å, β = 99.3°) [1] |
[1 -1 -1] monoclinic sodium hexatitanate Na2Ti6O13
(a = 15.131 Å, b = 3.745 Å, c = 9.159Å, β = 99.3°) [1] |
|
|
|
[0 -1 0] monoclinic sodium hexatitanate Na2Ti6O13
(a = 15.131 Å, b = 3.745 Å, c = 9.159Å, β = 99.3°) [1] |
|
|
Figure 3017. Examples of indexed electron diffraction (or FFT) patterns of C2/m (12) crystals.
[1] Cheng-Yan Xu, Qi Zhang, Han Zhang, Liang Zhen, Jie Tang and Lu-Chang Qin, Synthesis and Characterization of Single-Crystalline Alkali Titanate Nanowires, J. AM. CHEM. SOC. 127, 11584-11585, 2005.
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