Crystal Lab › Prototype structures › Monoclinic
α-LiZnPO₄ LiO₄PZn
Monoclinic · space group C1c1 (No. 9) · Pearson mC224
Symmetry elements and Wyckoff positions (interactive)
α-LiZnPO₄ in C1c1
SettingUnit cell
- Lattice constants
- a = 17.250 Å, b = 9.767 Å, c = 17.106 Å; α = 90.00°, β = 110.90°, γ = 90.00°
- Cell volume
- 2692.4 ų
- Atoms in the conventional cell
- 224 (Li 32, O 128, P 32, Zn 32)
- Formula units Z
- 32
- Pearson symbol
- mC224 — monoclinic, base-centred lattice, 224 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 4a | 4 | 0.7127 | 0.8063 | 0.9097 |
| Li2 | Li | 4a | 4 | 0.6766 | 0.2812 | 0.9120 |
| Li3 | Li | 4a | 4 | 0.4654 | 0.3219 | 0.6607 |
| Li4 | Li | 4a | 4 | 0.4970 | 0.7902 | 0.6620 |
| Li5 | Li | 4a | 4 | 0.7152 | 0.0668 | 0.6605 |
| Li6 | Li | 4a | 4 | 0.7441 | 0.5392 | 0.6601 |
| Li7 | Li | 4a | 4 | 0.9553 | 0.0636 | 0.9110 |
| Li8 | Li | 4a | 4 | 0.9306 | 0.5360 | 0.9138 |
| O10 | O | 4a | 4 | 0.7227 | 0.6544 | 0.9906 |
| O11 | O | 4a | 4 | 0.6301 | 0.4710 | 0.8952 |
| O12 | O | 4a | 4 | 0.5689 | 0.6502 | 0.9616 |
| O13 | O | 4a | 4 | 0.5426 | 0.9675 | 0.9844 |
| O14 | O | 4a | 4 | 0.1964 | 0.5013 | 0.0518 |
| O15 | O | 4a | 4 | 0.6046 | 0.1866 | 0.9596 |
| O16 | O | 4a | 4 | 0.6366 | 0.9658 | 0.8990 |
| O17 | O | 4a | 4 | 0.6577 | 0.2208 | 0.7990 |
| O18 | O | 4a | 4 | 0.6326 | 0.2152 | 0.6478 |
| O19 | O | 4a | 4 | 0.7285 | 0.3965 | 0.7390 |
| O20 | O | 4a | 4 | 0.5748 | 0.4096 | 0.7055 |
| O21 | O | 4a | 4 | 0.6024 | 0.7484 | 0.6476 |
| O22 | O | 4a | 4 | 0.6654 | 0.7188 | 0.8007 |
| O23 | O | 4a | 4 | 0.7570 | 0.7253 | 0.7125 |
| O24 | O | 4a | 4 | 0.6903 | 0.9389 | 0.7372 |
| O25 | O | 4a | 4 | 0.3810 | 0.2727 | 0.3964 |
| O26 | O | 4a | 4 | 0.2906 | 0.2807 | 0.4846 |
| O27 | O | 4a | 4 | 0.3539 | 0.0623 | 0.4604 |
| O28 | O | 4a | 4 | 0.4452 | 0.2497 | 0.5496 |
| O29 | O | 4a | 4 | 0.8839 | 0.7229 | 0.8986 |
| O30 | O | 4a | 4 | 0.8213 | 0.8992 | 0.9610 |
| O31 | O | 4a | 4 | 0.4131 | 0.2165 | 0.0510 |
| O32 | O | 4a | 4 | 0.9745 | 0.9047 | 0.9905 |
| O33 | O | 4a | 4 | 0.4403 | 0.1879 | 0.7373 |
| O34 | O | 4a | 4 | 0.3497 | 0.0013 | 0.6467 |
| O35 | O | 4a | 4 | 0.5051 | 0.9711 | 0.7132 |
| O36 | O | 4a | 4 | 0.4129 | 0.9715 | 0.8000 |
| O37 | O | 4a | 4 | 0.4802 | 0.6471 | 0.7387 |
| O38 | O | 4a | 4 | 0.4146 | 0.4731 | 0.8001 |
| O39 | O | 4a | 4 | 0.8268 | 0.1591 | 0.7065 |
| O40 | O | 4a | 4 | 0.3849 | 0.4634 | 0.6474 |
| O9 | O | 4a | 4 | 0.1644 | 0.9647 | 0.0495 |
| P41 | P | 4a | 4 | 0.6467 | 0.5630 | 0.9748 |
| P42 | P | 4a | 4 | 0.6189 | 0.0314 | 0.9732 |
| P43 | P | 4a | 4 | 0.6493 | 0.3119 | 0.7225 |
| P44 | P | 4a | 4 | 0.6797 | 0.7841 | 0.7244 |
| P45 | P | 4a | 4 | 0.3668 | 0.2174 | 0.4731 |
| P46 | P | 4a | 4 | 0.8982 | 0.8114 | 0.9753 |
| P47 | P | 4a | 4 | 0.4277 | 0.0320 | 0.7241 |
| P48 | P | 4a | 4 | 0.4010 | 0.5612 | 0.7223 |
| Zn49 | Zn | 4a | 4 | 0.5510 | 0.2137 | 0.5361 |
| Zn50 | Zn | 4a | 4 | 0.3013 | 0.4639 | 0.5355 |
| Zn51 | Zn | 4a | 4 | 0.0833 | 0.8172 | 0.0364 |
| Zn52 | Zn | 4a | 4 | 0.8380 | 0.3106 | 0.7854 |
| Zn53 | Zn | 4a | 4 | 0.5902 | 0.5624 | 0.7852 |
| Zn54 | Zn | 4a | 4 | 0.8692 | 0.7859 | 0.7860 |
| Zn55 | Zn | 4a | 4 | 0.3326 | 0.9297 | 0.5367 |
| Zn56 | Zn | 4a | 4 | 0.6160 | 0.0341 | 0.7849 |
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 224 atoms drawn above are these sites multiplied by all 4 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
AB4CD_mC224_9_8a_32a_8a_8a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC224, then the space-group number 9, then the Wyckoff letters occupied by each element in turn (Li: 4a; Li: 4a; Li: 4a; Li: 4a; Li: 4a; Li: 4a; Li: 4a; Li: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; P: 4a; P: 4a; P: 4a; P: 4a; P: 4a; P: 4a; P: 4a; P: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: α-LiZnPO₄.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4CD_mC224_9_8a_32a_8a_8a-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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