Crystal Lab › Prototype structures › Orthorhombic
High Pressure Phase III CH₃NH₃PbBr₃ Br₃CH₆NPb
Orthorhombic · space group Pmn21 (No. 31) · Pearson mP138
Symmetry elements and Wyckoff positions (interactive)
High Pressure Phase III CH₃NH₃PbBr₃ in Pmn21
SettingUnit cell
- Lattice constants
- a = 11.515 Å, b = 15.496 Å, c = 8.183 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1460.2 ų
- Atoms in the conventional cell
- 144 (Br 24, C 8, N 8, H 96, Pb 8)
- Formula units Z
- 8
- Pearson symbol
- mP138 — monoclinic, primitive lattice, 138 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Br1 | Br | 2a | 2 | 0.0000 | 0.3872 | 0.1740 |
| Br2 | Br | 2a | 2 | 0.0000 | 0.6690 | 0.6310 |
| Br3 | Br | 2a | 2 | 0.0000 | 0.8376 | 0.2470 |
| Br4 | Br | 2a | 2 | 0.0000 | 0.1144 | 0.6896 |
| C5 | C | 2a | 2 | 0.0000 | 0.8870 | 0.8340 |
| C6 | C | 2a | 2 | 0.0000 | 0.3510 | 0.5690 |
| C7 | C | 2a | 2 | 0.0000 | 0.1620 | 0.1010 |
| C8 | C | 2a | 2 | 0.0000 | 0.6400 | 0.0400 |
| N9 | N | 2a | 2 | 0.0000 | 0.8840 | 0.6560 |
| N10 | N | 2a | 2 | 0.0000 | 0.4340 | 0.6960 |
| N11 | N | 2a | 2 | 0.0000 | 0.1020 | 0.2300 |
| N12 | N | 2a | 2 | 0.0000 | 0.6110 | 0.2000 |
| Br13 | Br | 4b | 4 | 0.7340 | 0.5284 | 0.9622 |
| Br14 | Br | 4b | 4 | 0.7188 | 0.7128 | 0.3467 |
| Br15 | Br | 4b | 4 | 0.7209 | 0.7816 | 0.8669 |
| Br16 | Br | 4b | 4 | 0.7484 | 0.9563 | 0.4989 |
| H17 | H | 4b | 4 | 0.4582 | 0.1606 | 0.1224 |
| H18 | H | 4b | 4 | 0.4693 | 0.0672 | 0.1177 |
| H19 | H | 4b | 4 | 0.5726 | 0.1210 | 0.1204 |
| H20 | H | 4b | 4 | 0.4637 | 0.1645 | 0.3758 |
| H21 | H | 4b | 4 | 0.5785 | 0.1102 | 0.3731 |
| H22 | H | 4b | 4 | 0.4578 | 0.0635 | 0.3708 |
| H23 | H | 4b | 4 | 0.4345 | 0.5656 | 0.2540 |
| H24 | H | 4b | 4 | 0.5604 | 0.5698 | 0.2638 |
| H25 | H | 4b | 4 | 0.5051 | 0.5167 | 0.1397 |
| H26 | H | 4b | 4 | 0.4960 | 0.6279 | 0.9587 |
| H27 | H | 4b | 4 | 0.5700 | 0.6814 | 0.0837 |
| H28 | H | 4b | 4 | 0.4340 | 0.6846 | 0.0912 |
| H29 | H | 4b | 4 | 0.4620 | 0.8760 | 0.8151 |
| H30 | H | 4b | 4 | 0.4651 | 0.9466 | 0.6983 |
| H31 | H | 4b | 4 | 0.5728 | 0.9097 | 0.7592 |
| H32 | H | 4b | 4 | 0.4475 | 0.8574 | 0.5169 |
| H33 | H | 4b | 4 | 0.4755 | 0.7829 | 0.6403 |
| H34 | H | 4b | 4 | 0.5769 | 0.8337 | 0.5561 |
| H35 | H | 4b | 4 | 0.0582 | 0.6360 | 0.2561 |
| H36 | H | 4b | 4 | 0.0090 | 0.5542 | 0.2040 |
| H37 | H | 4b | 4 | 0.9329 | 0.6251 | 0.2492 |
| H38 | H | 4b | 4 | 0.0444 | 0.6011 | 0.9725 |
| H39 | H | 4b | 4 | 0.0340 | 0.6967 | 0.0334 |
| H40 | H | 4b | 4 | 0.9216 | 0.6426 | 0.9989 |
| Pb41 | Pb | 4b | 4 | 0.7516 | 0.6286 | 0.6651 |
| Pb42 | Pb | 4b | 4 | 0.7532 | 0.8735 | 0.1816 |
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 144 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
A3BC12DE_oP144_31_4a4b_4a_24b_4a_2b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP138, then the space-group number 31, then the Wyckoff letters occupied by each element in turn (Br: 2a; Br: 2a; Br: 2a; Br: 2a; C: 2a; C: 2a; C: 2a; C: 2a; N: 2a; N: 2a; N: 2a; N: 2a; Br: 4b; Br: 4b; Br: 4b; Br: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; Pb: 4b; Pb: 4b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: HP-Phase III.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC12DE_oP144_31_4a4b_4a_24b_4a_2b-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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