-    CRISTOBALITE     -    SiO2

1x2x1 super structure. The crystal structure is fully relaxed (both unit cell parameters and atomic positions under symmetry constraints) at 10GPa. 

Crystal Structure 


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:  Theo 14  Theo P2_1/n 
Lattice parameters (Å):  6.7500  4.0633  6.8344 
Angles (°):  90  90  90 

Symmetry (theoretical): 

Space group:  Theo 14  Theo P2_1/n 
Lattice parameters (Å):  6.4543  7.7910  6.6941 
Angles (°):  89.98  98.05  89.39 

Cell contents: 

Number of atoms:  48 
Number of atom types: 
Chemical composition: 

Atomic positions (theoretical):

Si:  0.4998  0.9890  0.4942 
Si:  0.0067  0.2431  0.0002 
Si:  0.3510  0.5045  0.1118 
Si:  0.1433  0.2469  0.3749 
Si:  0.6423  0.9904  0.8806 
Si:  0.8625  0.2501  0.6313 
Si:  0.2769  0.2427  0.7591 
Si:  0.7217  0.2155  0.2429 
O:  0.3328  0.1166  0.3311 
O:  0.1686  0.3664  0.1664 
O:  0.6656  0.3851  0.6695 
O:  0.8309  0.1361  0.8371 
O:  0.4677  0.1125  0.7083 
O:  0.0457  0.3588  0.7974 
O:  0.5510  0.3862  0.2900 
O:  0.9580  0.1382  0.2080 
O:  0.2994  0.3646  0.5438 
O:  0.2116  0.1224  0.9577 
O:  0.7036  0.1333  0.4631 
O:  0.7933  0.3770  0.0558 
O:  0.4222  0.3800  0.9182 
O:  0.0854  0.1439  0.5811 
O:  0.5706  0.1172  0.0729 
O:  0.9059  0.3695  0.4077 
Si:  0.4878  0.5037  0.5058 
Si:  0.9837  0.7600  0.0002 
Si:  0.3657  0.9831  0.1249 
Si:  0.1288  0.7622  0.3789 
Si:  0.6378  0.5047  0.8737 
Si:  0.8669  0.7588  0.6136 
Si:  0.2658  0.7509  0.7577 
Si:  0.7701  0.5356  0.2614 
O:  0.3300  0.6112  0.3302 
O:  0.1602  0.8686  0.1663 
O:  0.6694  0.8838  0.6658 
O:  0.8348  0.6291  0.8315 
O:  0.4633  0.6183  0.7112 
O:  0.0446  0.8615  0.7944 
O:  0.5298  0.8833  0.2936 
O:  0.9699  0.6331  0.2066 
O:  0.3006  0.8654  0.5485 
O:  0.2037  0.6301  0.9562 
O:  0.7013  0.6245  0.4620 
O:  0.7937  0.8800  0.0363 
O:  0.4222  0.8751  0.9187 
O:  0.0909  0.6345  0.5835 
O:  0.5829  0.6116  0.0811 
O:  0.9241  0.8703  0.4260 
Atom type 

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: 

Size:

Nx:  Ny:  Nz: 
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.
       

Single Crystal Raman spectra

Single crystal Raman spectrum

The intensity of the Raman peaks is computed within the density-functional perturbation theory. The intensity depends on the temperature (for now fixed at 300K), frequency of the input laser (for now fixed at 21834 cm-1, frequency of the phonon mode and the Raman tensor. The Raman tensor represents the derivative of the dielectric tensor during the atomic displacement that corresponds to the phonon vibration. The Raman tensor is related to the polarizability of a specific phonon mode.

The Raman measurements performed on single crystals employ polarized lasers and allow for the selection of specific elements of the individual Raman tensors of the Raman-active modes.

By convention, in the following we assume a measurement as X(XZ)Z, i.e. incident laser polarized along the X axis, emergent light polarized along the Z axis. If the crystal is aligned with the xyz reference frame, we sample the αxz element. As you rotate the crystal you can sample other entries of the Raman tensor or various linear combineations.

Horizontal:
Xmin:
Xmax:
Vertical:
Ymin:
Ymax:
 


Choose the orientation of the crystal with respect to the reference system:

 
Rotation around X axis:
Rotation around Z axis:
Rotation around Y axis: