Because of the translational symmetry all the calculations are performed in the primitive unit cell and not in the conventional unit cell. The following information regarding the structure is given with respect to this primitive unit cell, which sometimes can take an unintuitive shape.
Symmetry (experimental):
| Space group: |
230 |
Ia-3d |
| Lattice parameters (Å): |
11.8063 |
11.8063 |
11.8063 |
| Angles (°): |
90 |
90 |
90 |
Symmetry (theoretical):
| Space group: |
230 |
Ia-3d |
| Lattice parameters (Å): |
0.5292 |
0.5292 |
0.5292 |
| Angles (°): |
109.47 |
109.47 |
109.47 |
Cell contents:
| Number of atoms: |
80 |
| Number of atom types: |
4 |
| Chemical composition: |
0 |
Atomic positions (theoretical):
| Si: |
0.2500 |
0.6250 |
0.3750 |
| Al: |
0.0000 |
0.0000 |
0.0000 |
| Ca: |
0.2500 |
0.3750 |
0.1250 |
| O: |
0.6950 |
0.6897 |
0.0838 |
| Si: |
0.3750 |
0.2500 |
0.6250 |
| Ca: |
0.1250 |
0.2500 |
0.3750 |
| O: |
0.0838 |
0.6950 |
0.6897 |
| Si: |
0.7500 |
0.8750 |
0.1250 |
| Al: |
0.5000 |
0.0000 |
0.5000 |
| Ca: |
0.7500 |
0.1250 |
0.3750 |
| O: |
0.1059 |
0.6113 |
0.4162 |
| Al: |
0.0000 |
0.5000 |
0.5000 |
| O: |
0.3941 |
0.8103 |
0.5053 |
| Si: |
0.6250 |
0.7500 |
0.3750 |
| Al: |
0.5000 |
0.0000 |
0.0000 |
| Ca: |
0.3750 |
0.7500 |
0.1250 |
| O: |
0.8887 |
0.3941 |
0.0838 |
| Si: |
0.6250 |
0.3750 |
0.2500 |
| Ca: |
0.3750 |
0.1250 |
0.2500 |
| O: |
0.6897 |
0.0838 |
0.6950 |
| Si: |
0.1250 |
0.7500 |
0.8750 |
| Al: |
0.5000 |
0.5000 |
0.0000 |
| O: |
0.4162 |
0.1059 |
0.6113 |
| O: |
0.5053 |
0.3941 |
0.8103 |
| Si: |
0.3750 |
0.6250 |
0.7500 |
| Al: |
0.0000 |
0.5000 |
0.0000 |
| Ca: |
0.1250 |
0.3750 |
0.7500 |
| O: |
0.0838 |
0.8887 |
0.3941 |
| O: |
0.8050 |
0.8887 |
0.9947 |
| Si: |
0.8750 |
0.2500 |
0.1250 |
| Al: |
0.5000 |
0.5000 |
0.5000 |
| O: |
0.8103 |
0.8050 |
0.4162 |
| O: |
0.9947 |
0.8050 |
0.8887 |
| O: |
0.6897 |
0.1059 |
0.9947 |
| Si: |
0.7500 |
0.3750 |
0.6250 |
| O: |
0.1059 |
0.9947 |
0.6897 |
| Al: |
0.0000 |
0.0000 |
0.5000 |
| O: |
0.6113 |
0.6950 |
0.5053 |
| Si: |
0.8750 |
0.1250 |
0.7500 |
| O: |
0.6113 |
0.4162 |
0.1059 |
| O: |
0.8103 |
0.5053 |
0.3941 |
| O: |
0.3941 |
0.0838 |
0.8887 |
| Si: |
0.1250 |
0.8750 |
0.2500 |
| O: |
0.4162 |
0.8103 |
0.8050 |
| O: |
0.8887 |
0.9947 |
0.8050 |
| O: |
0.9947 |
0.6897 |
0.1059 |
| O: |
0.5053 |
0.6113 |
0.6950 |
| Si: |
0.2500 |
0.1250 |
0.8750 |
| O: |
0.8050 |
0.4162 |
0.8103 |
| O: |
0.6950 |
0.5053 |
0.6113 |
| Ca: |
0.7500 |
0.6250 |
0.8750 |
| O: |
0.3050 |
0.3103 |
0.9162 |
| Ca: |
0.8750 |
0.7500 |
0.6250 |
| O: |
0.9162 |
0.3050 |
0.3103 |
| Ca: |
0.2500 |
0.8750 |
0.6250 |
| O: |
0.8941 |
0.3887 |
0.5838 |
| O: |
0.6059 |
0.1897 |
0.4947 |
| Ca: |
0.6250 |
0.2500 |
0.8750 |
| O: |
0.1113 |
0.6059 |
0.9162 |
| Ca: |
0.6250 |
0.8750 |
0.7500 |
| O: |
0.3103 |
0.9162 |
0.3050 |
| O: |
0.5838 |
0.8941 |
0.3887 |
| O: |
0.4947 |
0.6059 |
0.1897 |
| Ca: |
0.8750 |
0.6250 |
0.2500 |
| O: |
0.9162 |
0.1113 |
0.6059 |
| O: |
0.1950 |
0.1113 |
0.0053 |
| O: |
0.1897 |
0.1950 |
0.5838 |
| O: |
0.0053 |
0.1950 |
0.1113 |
| O: |
0.3103 |
0.8941 |
0.0053 |
| O: |
0.8941 |
0.0053 |
0.3103 |
| O: |
0.3887 |
0.3050 |
0.4947 |
| O: |
0.3887 |
0.5838 |
0.8941 |
| O: |
0.1897 |
0.4947 |
0.6059 |
| O: |
0.6059 |
0.9162 |
0.1113 |
| O: |
0.5838 |
0.1897 |
0.1950 |
| O: |
0.1113 |
0.0053 |
0.1950 |
| O: |
0.0053 |
0.3103 |
0.8941 |
| O: |
0.4947 |
0.3887 |
0.3050 |
| O: |
0.1950 |
0.5838 |
0.1897 |
| O: |
0.3050 |
0.4947 |
0.3887 |
We have listed here the reduced coordinates of all the atoms in the primitive unit cell.
It is enough to know only the position of the atoms from the assymetrical unit cell and then use the symmetry to build the whole crystal structure.
Visualization of the crystal structure:
You can define the size of the supercell to be displayed in the jmol panel as integer translations along the three crystallographic axis.
Please note that the structure is represented using the primitive cell, and not the conventional one.