Crystal Lab › Prototype structures › Orthorhombic
Carnallite [Mg(H₂O)₆KCl₃]
Orthorhombic · space group Pnna (No. 52) · Pearson oP276 · mineral: carnallite
Symmetry elements and Wyckoff positions (interactive)
Carnallite [Mg(H₂O)₆KCl₃] in Pnna
SettingUnit cell
- Lattice constants
- a = 16.119 Å, b = 22.472 Å, c = 9.551 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 3459.6 ų
- Atoms in the conventional cell
- 276 (K 12, Cl 36, Mg 12, O 72, H 144)
- Formula units Z
- 12
- Pearson symbol
- oP276 — orthorhombic, primitive lattice, 276 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K24 | K | 4c | 4 | 0.2500 | 0.0000 | 0.2514 |
| Cl1 | Cl | 4d | 4 | 0.7606 | 0.2500 | 0.2500 |
| Mg26 | Mg | 4d | 4 | 0.2434 | 0.2500 | 0.2500 |
| O28 | O | 4d | 4 | 0.3692 | 0.2500 | 0.2500 |
| O29 | O | 4d | 4 | 0.1162 | 0.2500 | 0.2500 |
| Cl2 | Cl | 8e | 8 | 0.1658 | 0.5753 | 0.9853 |
| Cl3 | Cl | 8e | 8 | 0.1693 | 0.5811 | 0.4883 |
| Cl4 | Cl | 8e | 8 | 0.4146 | 0.5818 | 0.2524 |
| Cl5 | Cl | 8e | 8 | 0.0199 | 0.7496 | 0.9769 |
| H10 | H | 8e | 8 | 0.7340 | 0.8480 | 0.5870 |
| H11 | H | 8e | 8 | 0.3030 | 0.8450 | 0.3350 |
| H12 | H | 8e | 8 | 0.5140 | 0.5090 | 0.3260 |
| H13 | H | 8e | 8 | 0.4170 | 0.4940 | 0.6060 |
| H14 | H | 8e | 8 | 0.7680 | 0.5720 | 0.3450 |
| H15 | H | 8e | 8 | 0.2640 | 0.9340 | 0.6820 |
| H16 | H | 8e | 8 | 0.3990 | 0.9900 | 0.5680 |
| H17 | H | 8e | 8 | 0.4220 | 0.9420 | 0.5000 |
| H18 | H | 8e | 8 | 0.3590 | 0.8170 | 0.6730 |
| H19 | H | 8e | 8 | 0.4290 | 0.8110 | 0.6230 |
| H20 | H | 8e | 8 | 0.5650 | 0.9010 | 0.6790 |
| H21 | H | 8e | 8 | 0.5730 | 0.6040 | 0.6950 |
| H22 | H | 8e | 8 | 0.4380 | 0.6600 | 0.5610 |
| H23 | H | 8e | 8 | 0.4110 | 0.6150 | 0.4750 |
| H6 | H | 8e | 8 | 0.6040 | 0.7500 | 0.5790 |
| H7 | H | 8e | 8 | 0.4120 | 0.7510 | 0.3130 |
| H8 | H | 8e | 8 | 0.7370 | 0.6730 | 0.5430 |
| H9 | H | 8e | 8 | 0.2500 | 0.7220 | 0.5050 |
| K25 | K | 8e | 8 | 0.0886 | 0.6567 | 0.7500 |
| Mg27 | Mg | 8e | 8 | 0.4209 | 0.5898 | 0.7477 |
| O30 | O | 8e | 8 | 0.2554 | 0.7070 | 0.4384 |
| O31 | O | 8e | 8 | 0.2673 | 0.6694 | 0.1506 |
| O32 | O | 8e | 8 | 0.4466 | 0.5104 | 0.6500 |
| O33 | O | 8e | 8 | 0.2967 | 0.5712 | 0.7349 |
| O34 | O | 8e | 8 | 0.4259 | 0.5466 | 0.9354 |
| O35 | O | 8e | 8 | 0.3956 | 0.6691 | 0.8444 |
| O36 | O | 8e | 8 | 0.5448 | 0.6077 | 0.7631 |
| O37 | O | 8e | 8 | 0.4179 | 0.6315 | 0.5580 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 276 atoms drawn above are these sites multiplied by all 8 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
A3B12CDE6_oP276_52_d4e_18e_ce_de_2d8e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP276, then the space-group number 52, then the Wyckoff letters occupied by each element in turn (K: 4c; Cl: 4d; Mg: 4d; O: 4d; O: 4d; Cl: 8e; Cl: 8e; Cl: 8e; Cl: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; H: 8e; K: 8e; Mg: 8e; O: 8e; O: 8e; O: 8e; O: 8e; O: 8e; O: 8e; O: 8e; O: 8e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Mg(H₂O)₆K(Cl, Br)₃ <!--beginning with an
Note: Carnallite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B12CDE6_oP276_52_d4e_18e_ce_de_2d8e-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
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