-    TARBUTTITE     -    Zn2PO4OH

 

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:  P-1 
Lattice parameters (Å):  2.9378  3.0164  3.4241 
Angles (°):  102.67  102.81  86.88 

Symmetry (theoretical): 

Space group:  P-1 
Lattice parameters (Å):  0.5292  0.5292  0.5292 
Angles (°):  102.42  103.10  87.08 

Cell contents: 

Number of atoms:  18 
Number of atom types: 
Chemical composition: 

Atomic positions (theoretical):

Zn:  0.3859  0.2480  0.4939 
Zn:  0.0274  0.7402  0.1874 
P:  0.8321  0.2508  0.2751 
O:  0.7651  0.9915  0.1486 
O:  0.9448  0.3861  0.1347 
O:  0.5941  0.3842  0.3299 
O:  0.9737  0.7526  0.5099 
O:  0.3610  0.8941  0.2928 
H:  0.4426  0.9140  0.1748 
Zn:  0.6141  0.7520  0.5061 
Zn:  0.9726  0.2598  0.8126 
P:  0.1679  0.7492  0.7249 
O:  0.2349  0.0085  0.8514 
O:  0.0552  0.6139  0.8653 
O:  0.4059  0.6158  0.6701 
O:  0.0263  0.2474  0.4901 
O:  0.6390  0.1059  0.7072 
H:  0.5574  0.0860  0.8252 
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.
 

Dielectric Properties 


We define:

  • The Born effective charges, also called dynamical charges, are tensors that correspond to the energy derivative with respect to atomic displacements and electric fields or, equivalently, to the change in atomic force due to an electric field: The sum of the Born effective charges of all nuclei in one cell must vanish, element by element, along each of the three directions of the space.
  • The dielectric tensors are the energy derivative with respect to two electric fields. They also relate the induced polarization to the external electric field.

Born effective charges (Z): 

Zn: 2.4192 -0.0387 -0.1306 
-0.0693 2.3697 0.2017 
0.0519 0.1154 1.7305 
Eig. Value: 2.4754 2.3516 1.6923 
Zn: 2.0047 0.1427 -0.1836 
0.0275 2.3905 -0.0154 
-0.2283 0.1208 2.5250 
Eig. Value: 1.9130 2.4081 2.5991 
P: 3.5275 -0.1584 0.0448 
0.1760 3.5341 0.0358 
-0.3037 -0.0523 3.4652 
Eig. Value: 3.6310 3.5326 3.3632 
O: -1.5203 0.0702 -0.0626 
-0.0136 -2.2244 -0.3968 
-0.0248 -0.2943 -1.4276 
Eig. Value: -1.5313 -2.3535 -1.2875 
O: -1.4203 -0.5551 0.4746 
-0.5809 -1.9974 0.3530 
0.6154 0.3785 -2.0870 
Eig. Value: -0.9832 -2.8441 -1.6774 
O: -2.3167 0.4234 0.5202 
0.2503 -1.7426 -0.2747 
0.5256 -0.2875 -1.2294 
Eig. Value: -2.7096 -1.5888 -0.9903 
O: -1.8127 0.0902 -0.4357 
0.0888 -1.2553 0.1863 
-0.3672 0.1611 -2.1224 
Eig. Value: -1.5391 -1.2215 -2.4299 
O: -1.7044 -0.1391 -0.0976 
-0.1167 -1.4228 0.0428 
-0.2201 -0.0390 -1.4693 
Eig. Value: -1.8177 -1.3325 -1.4463 
H: 0.8231 0.1648 -0.1296 
0.2379 0.3482 -0.1329 
-0.0487 -0.1027 0.6149 
Eig. Value: 0.9451 0.2553 0.5858 
Zn: 2.4192 -0.0387 -0.1306 
-0.0693 2.3697 0.2017 
0.0519 0.1154 1.7305 
Eig. Value: 2.4754 2.3516 1.6923 
Zn: 2.0047 0.1427 -0.1836 
0.0275 2.3905 -0.0154 
-0.2283 0.1208 2.5250 
Eig. Value: 1.9130 2.4081 2.5991 
P: 3.5275 -0.1584 0.0448 
0.1760 3.5341 0.0358 
-0.3037 -0.0523 3.4652 
Eig. Value: 3.6310 3.5326 3.3632 
O: -1.5203 0.0702 -0.0626 
-0.0136 -2.2244 -0.3968 
-0.0248 -0.2943 -1.4276 
Eig. Value: -1.5313 -2.3535 -1.2875 
O: -1.4203 -0.5551 0.4746 
-0.5809 -1.9974 0.3530 
0.6154 0.3785 -2.0870 
Eig. Value: -0.9832 -2.8441 -1.6774 
O: -2.3167 0.4234 0.5202 
0.2503 -1.7426 -0.2747 
0.5256 -0.2875 -1.2294 
Eig. Value: -2.7096 -1.5888 -0.9903 
O: -1.8127 0.0902 -0.4357 
0.0888 -1.2553 0.1863 
-0.3672 0.1611 -2.1224 
Eig. Value: -1.5391 -1.2215 -2.4299 
O: -1.7044 -0.1391 -0.0976 
-0.1167 -1.4228 0.0428 
-0.2201 -0.0390 -1.4693 
Eig. Value: -1.8177 -1.3325 -1.4463 
H: 0.8231 0.1648 -0.1296 
0.2379 0.3482 -0.1329 
-0.0487 -0.1027 0.6149 
Eig. Value: 0.9451 0.2553 0.5858 
Atom type 

Dielectric tensors: 

 
Ɛ3.2232 0.0368 -0.0593 
0.0368 3.2336 0.0462 
-0.0593 0.0462 3.0848 
Eig. Value: 3.2300 3.2658 3.0460 
Refractive index (N): 1.7953 0.1919 -0.2435 
0.1919 1.7982 0.2150 
-0.2435 0.2150 1.7564 
Eig. Value: 1.7972 1.8071 1.7453 
Ɛ00.0000 0.0000 0.0000 
0.0000 0.0000 0.0000 
0.0000 0.0000 0.0000 
Eig. Value: 0.0000 0.0000 0.0000