-    BLODITE     -    Na2Mg(SO4)24H2O

The crystal structure is fully relaxed (both unit cell parameters and atomic positions under symmetry constraints) starting from an experimental structure similar to the one reported in ICSD database; code 40525 

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:  14  P12_1/a1 
Lattice parameters (Å):  11.1260  8.2420  5.5390 
Angles (°):  90.0  100.84  90.0 

Symmetry (theoretical): 

Space group:  14  P12_1/a1 
Lattice parameters (Å):  10.7915  8.0223  5.3160 
Angles (°):  90  100.11  90 

Cell contents: 

Number of atoms:  50 
Number of atom types: 
Chemical composition: 

Atomic positions (theoretical):

Mg:  0.0000  0.0000  0.0000 
Na:  0.3631  0.0806  0.1146 
S:  0.1363  0.2933  0.3849 
O:  0.2724  0.2782  0.3664 
O:  0.0788  0.4276  0.2207 
O:  0.0719  0.1345  0.3187 
O:  0.1308  0.3304  0.6573 
O:  0.1652  0.0377  0.8808 
O:  0.0747  0.7861  0.1766 
H:  0.1589  0.1452  0.7844 
H:  0.8161  0.0538  0.2353 
H:  0.4924  0.2186  0.7667 
H:  0.8621  0.2019  0.6635 
Mg:  0.5000  0.5000  0.0000 
Na:  0.1369  0.5806  0.8854 
S:  0.3637  0.7933  0.6151 
O:  0.2276  0.7782  0.6336 
O:  0.4212  0.9276  0.7793 
O:  0.4281  0.6345  0.6813 
O:  0.3692  0.8304  0.3427 
O:  0.3348  0.5377  0.1192 
O:  0.4253  0.2861  0.8234 
H:  0.3411  0.6452  0.2156 
H:  0.6839  0.5538  0.7647 
H:  0.0076  0.7186  0.2333 
H:  0.6379  0.7019  0.3365 
Na:  0.6369  0.9194  0.8854 
S:  0.8637  0.7067  0.6151 
O:  0.7276  0.7218  0.6336 
O:  0.9212  0.5724  0.7793 
O:  0.9281  0.8655  0.6813 
O:  0.8692  0.6696  0.3427 
O:  0.8348  0.9623  0.1192 
O:  0.9253  0.2139  0.8234 
H:  0.8411  0.8548  0.2156 
H:  0.1839  0.9462  0.7647 
H:  0.5076  0.7814  0.2333 
H:  0.1379  0.7981  0.3365 
Na:  0.8631  0.4194  0.1146 
S:  0.6363  0.2067  0.3849 
O:  0.7724  0.2218  0.3664 
O:  0.5788  0.0724  0.2207 
O:  0.5719  0.3655  0.3187 
O:  0.6308  0.1696  0.6573 
O:  0.6652  0.4623  0.8808 
O:  0.5747  0.7139  0.1766 
H:  0.6589  0.3548  0.7844 
H:  0.3161  0.4462  0.2353 
H:  0.9924  0.2814  0.7667 
H:  0.3621  0.2981  0.6635 
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): 

Mg: 1.9454 0.1589 0.1581 
0.1255 2.1097 0.3296 
-0.0560 -0.0583 2.1697 
Eig. Value: 1.8611 2.3247 2.0390 
Na: 1.0693 -0.0165 -0.0236 
0.0107 1.0871 0.0502 
0.0125 -0.0295 1.1280 
Eig. Value: 1.0685 1.0848 1.1311 
S: 3.4638 0.0393 -0.1962 
0.3586 3.1042 -0.3099 
0.1058 0.1143 3.3583 
Eig. Value: 3.5826 3.0012 3.3425 
O: -2.3161 -0.1263 -0.0027 
-0.2070 -1.0937 0.1734 
0.0011 0.0796 -1.1824 
Eig. Value: -2.3387 -0.9896 -1.2639 
O: -1.0707 0.2476 -0.1801 
0.2315 -1.5105 0.5422 
-0.2422 0.4469 -1.3229 
Eig. Value: -0.9658 -2.0267 -0.9117 
O: -1.1480 -0.4598 -0.1913 
-0.4954 -1.7944 -0.3599 
-0.2066 -0.4115 -1.1910 
Eig. Value: -0.8943 -2.2293 -1.0098 
O: -1.2154 0.0338 0.4716 
-0.0508 -1.1828 0.1308 
0.3526 0.0112 -2.0565 
Eig. Value: -1.0445 -1.1809 -2.2293 
O: -1.0805 0.2655 0.1625 
0.1731 -1.5716 -0.0503 
0.1346 0.1244 -1.0071 
Eig. Value: -0.8496 -1.6558 -1.1537 
O: -1.3870 -0.1362 -0.2504 
-0.0157 -1.0232 0.0164 
-0.0987 0.1158 -1.1254 
Eig. Value: -1.4777 -0.9358 -1.1221 
H: 0.3516 -0.0300 0.0532 
-0.0400 1.0494 -0.3849 
0.0576 -0.5478 0.5598 
Eig. Value: 0.3587 1.3348 0.2673 
H: 0.6311 -0.5179 -0.2716 
-0.3194 0.9926 0.3688 
-0.1472 0.3497 0.4548 
Eig. Value: 0.3610 1.4425 0.2750 
H: 1.0136 -0.2071 -0.2203 
-0.1108 0.5020 0.0268 
-0.3286 0.0875 0.4480 
Eig. Value: 1.1677 0.4596 0.3363 
H: 0.7157 -0.0209 0.5700 
-0.0316 0.3861 0.0227 
0.3873 0.0143 0.8514 
Eig. Value: 0.2896 0.3967 1.2670 
Mg: 1.9454 -0.1589 0.1581 
-0.1255 2.1097 -0.3296 
-0.0560 0.0583 2.1697 
Eig. Value: 1.8611 2.3247 2.0390 
Na: 1.0693 0.0165 -0.0236 
-0.0107 1.0871 -0.0502 
0.0125 0.0295 1.1280 
Eig. Value: 1.0685 1.0848 1.1311 
S: 3.4638 -0.0393 -0.1962 
-0.3586 3.1042 0.3099 
0.1058 -0.1143 3.3583 
Eig. Value: 3.5826 3.0012 3.3425 
O: -2.3161 0.1263 -0.0027 
0.2070 -1.0937 -0.1734 
0.0011 -0.0796 -1.1824 
Eig. Value: -2.3387 -0.9896 -1.2639 
O: -1.0707 -0.2476 -0.1801 
-0.2315 -1.5105 -0.5422 
-0.2422 -0.4469 -1.3229 
Eig. Value: -0.9658 -2.0267 -0.9117 
O: -1.1480 0.4598 -0.1913 
0.4954 -1.7944 0.3599 
-0.2066 0.4115 -1.1910 
Eig. Value: -0.8943 -2.2293 -1.0098 
O: -1.2154 -0.0338 0.4716 
0.0508 -1.1828 -0.1308 
0.3526 -0.0112 -2.0565 
Eig. Value: -1.0445 -1.1809 -2.2293 
O: -1.0805 -0.2655 0.1625 
-0.1731 -1.5716 0.0503 
0.1346 -0.1244 -1.0071 
Eig. Value: -0.8496 -1.6558 -1.1537 
O: -1.3870 0.1362 -0.2504 
0.0157 -1.0232 -0.0164 
-0.0987 -0.1158 -1.1254 
Eig. Value: -1.4777 -0.9358 -1.1221 
H: 0.3516 0.0300 0.0532 
0.0400 1.0494 0.3849 
0.0576 0.5478 0.5598 
Eig. Value: 0.3587 1.3348 0.2673 
H: 0.6311 0.5179 -0.2716 
0.3194 0.9926 -0.3688 
-0.1472 -0.3497 0.4548 
Eig. Value: 0.3610 1.4425 0.2750 
H: 1.0136 0.2071 -0.2203 
0.1108 0.5020 -0.0268 
-0.3286 -0.0875 0.4480 
Eig. Value: 1.1677 0.4596 0.3363 
H: 0.7157 0.0209 0.5700 
0.0316 0.3861 -0.0227 
0.3873 -0.0143 0.8514 
Eig. Value: 0.2896 0.3967 1.2670 
Na: 1.0693 -0.0165 -0.0236 
0.0107 1.0871 0.0502 
0.0125 -0.0295 1.1280 
Eig. Value: 1.0685 1.0848 1.1311 
S: 3.4638 0.0393 -0.1962 
0.3586 3.1042 -0.3099 
0.1058 0.1143 3.3583 
Eig. Value: 3.5826 3.0012 3.3425 
O: -2.3161 -0.1263 -0.0027 
-0.2070 -1.0937 0.1734 
0.0011 0.0796 -1.1824 
Eig. Value: -2.3387 -0.9896 -1.2639 
O: -1.0707 0.2476 -0.1801 
0.2315 -1.5105 0.5422 
-0.2422 0.4469 -1.3229 
Eig. Value: -0.9658 -2.0267 -0.9117 
O: -1.1480 -0.4598 -0.1913 
-0.4954 -1.7944 -0.3599 
-0.2066 -0.4115 -1.1910 
Eig. Value: -0.8943 -2.2293 -1.0098 
O: -1.2154 0.0338 0.4716 
-0.0508 -1.1828 0.1308 
0.3526 0.0112 -2.0565 
Eig. Value: -1.0445 -1.1809 -2.2293 
O: -1.0805 0.2655 0.1625 
0.1731 -1.5716 -0.0503 
0.1346 0.1244 -1.0071 
Eig. Value: -0.8496 -1.6558 -1.1537 
O: -1.3870 -0.1362 -0.2504 
-0.0157 -1.0232 0.0164 
-0.0987 0.1158 -1.1254 
Eig. Value: -1.4777 -0.9358 -1.1221 
H: 0.3516 -0.0300 0.0532 
-0.0400 1.0494 -0.3849 
0.0576 -0.5478 0.5598 
Eig. Value: 0.3587 1.3348 0.2673 
H: 0.6311 -0.5179 -0.2716 
-0.3194 0.9926 0.3688 
-0.1472 0.3497 0.4548 
Eig. Value: 0.3610 1.4425 0.2750 
H: 1.0136 -0.2071 -0.2203 
-0.1108 0.5020 0.0268 
-0.3286 0.0875 0.4480 
Eig. Value: 1.1677 0.4596 0.3363 
H: 0.7157 -0.0209 0.5700 
-0.0316 0.3861 0.0227 
0.3873 0.0143 0.8514 
Eig. Value: 0.2896 0.3967 1.2670 
Na: 1.0693 0.0165 -0.0236 
-0.0107 1.0871 -0.0502 
0.0125 0.0295 1.1280 
Eig. Value: 1.0685 1.0848 1.1311 
S: 3.4638 -0.0393 -0.1962 
-0.3586 3.1042 0.3099 
0.1058 -0.1143 3.3583 
Eig. Value: 3.5826 3.0012 3.3425 
O: -2.3161 0.1263 -0.0027 
0.2070 -1.0937 -0.1734 
0.0011 -0.0796 -1.1824 
Eig. Value: -2.3387 -0.9896 -1.2639 
O: -1.0707 -0.2476 -0.1801 
-0.2315 -1.5105 -0.5422 
-0.2422 -0.4469 -1.3229 
Eig. Value: -0.9658 -2.0267 -0.9117 
O: -1.1480 0.4598 -0.1913 
0.4954 -1.7944 0.3599 
-0.2066 0.4115 -1.1910 
Eig. Value: -0.8943 -2.2293 -1.0098 
O: -1.2154 -0.0338 0.4716 
0.0508 -1.1828 -0.1308 
0.3526 -0.0112 -2.0565 
Eig. Value: -1.0445 -1.1809 -2.2293 
O: -1.0805 -0.2655 0.1625 
-0.1731 -1.5716 0.0503 
0.1346 -0.1244 -1.0071 
Eig. Value: -0.8496 -1.6558 -1.1537 
O: -1.3870 0.1362 -0.2504 
0.0157 -1.0232 -0.0164 
-0.0987 -0.1158 -1.1254 
Eig. Value: -1.4777 -0.9358 -1.1221 
H: 0.3516 0.0300 0.0532 
0.0400 1.0494 0.3849 
0.0576 0.5478 0.5598 
Eig. Value: 0.3587 1.3348 0.2673 
H: 0.6311 0.5179 -0.2716 
0.3194 0.9926 -0.3688 
-0.1472 -0.3497 0.4548 
Eig. Value: 0.3610 1.4425 0.2750 
H: 1.0136 0.2071 -0.2203 
0.1108 0.5020 -0.0268 
-0.3286 -0.0875 0.4480 
Eig. Value: 1.1677 0.4596 0.3363 
H: 0.7157 0.0209 0.5700 
0.0316 0.3861 -0.0227 
0.3873 -0.0143 0.8514 
Eig. Value: 0.2896 0.3967 1.2670 
Atom type 

Dielectric tensors: 

 
Ɛ2.3773 0.0000 0.0000 
0.0000 2.3597 0.0000 
0.0000 0.0000 2.3600 
Eig. Value: 2.3774 2.3597 2.3599 
Refractive index (N): 1.5419 0.0000 0.0000 
0.0000 1.5361 0.0000 
0.0000 0.0000 1.5362 
Eig. Value: 1.5419 1.5361 1.5362 
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