Crystal Lab › Prototype structures › Monoclinic
D-Sucrose (C₁₂H₂₂O₁₁)
Monoclinic · space group P1211 (No. 4) · Pearson mP90 · mineral: D-sucrose
Symmetry elements and Wyckoff positions (interactive)
D-Sucrose (C₁₂H₂₂O₁₁) in P1211
SettingUnit cell
- Lattice constants
- a = 10.865 Å, b = 8.703 Å, c = 7.758 Å; α = 90.00°, β = 102.96°, γ = 90.00°
- Cell volume
- 714.9 ų
- Atoms in the conventional cell
- 90 (C 24, H 44, O 22)
- Formula units Z
- 2
- Pearson symbol
- mP90 — monoclinic, primitive lattice, 90 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C1 | C | 2a | 2 | 0.2999 | 0.3579 | 0.4852 |
| C2 | C | 2a | 2 | 0.1032 | 0.1310 | 0.5434 |
| C3 | C | 2a | 2 | 0.3126 | 0.4748 | 0.6354 |
| C4 | C | 2a | 2 | 0.1244 | 0.1925 | 0.3691 |
| C5 | C | 2a | 2 | 0.2856 | 0.6366 | 0.5644 |
| C6 | C | 2a | 2 | 0.0073 | 0.1905 | 0.2144 |
| C7 | C | 2a | 2 | 0.3739 | 0.6710 | 0.4422 |
| C8 | C | 2a | 2 | 0.0650 | 0.1667 | 0.0549 |
| C9 | C | 2a | 2 | 0.3591 | 0.5519 | 0.2956 |
| C10 | C | 2a | 2 | 0.1763 | 0.0612 | 0.1284 |
| C11 | C | 2a | 2 | 0.4573 | 0.5708 | 0.1843 |
| C12 | C | 2a | 2 | 0.2892 | 0.0816 | 0.0467 |
| H13 | H | 2a | 2 | 0.3274 | 0.2621 | 0.5306 |
| H14 | H | 2a | 2 | -0.0434 | 0.1036 | 0.2269 |
| H15 | H | 2a | 2 | 0.0886 | 0.2585 | 0.0209 |
| H16 | H | 2a | 2 | 0.1462 | -0.0439 | 0.1117 |
| H17 | H | 2a | 2 | 0.3627 | 0.0209 | 0.1155 |
| H18 | H | 2a | 2 | 0.2690 | 0.0507 | -0.0807 |
| H19 | H | 2a | 2 | 0.2645 | 0.3776 | 0.8251 |
| H20 | H | 2a | 2 | 0.2517 | 0.7659 | 0.7394 |
| H21 | H | 2a | 2 | 0.3430 | 0.8680 | 0.4078 |
| H22 | H | 2a | 2 | 0.5951 | 0.4535 | 0.2783 |
| H23 | H | 2a | 2 | 0.0778 | 0.3111 | 0.6541 |
| H24 | H | 2a | 2 | 0.3967 | 0.4718 | 0.7060 |
| H25 | H | 2a | 2 | -0.0423 | 0.3922 | 0.1817 |
| H26 | H | 2a | 2 | -0.0155 | 0.1376 | -0.1705 |
| H27 | H | 2a | 2 | 0.3488 | 0.2694 | 0.1453 |
| H28 | H | 2a | 2 | 0.2001 | 0.6409 | 0.4985 |
| H29 | H | 2a | 2 | 0.4606 | 0.6671 | 0.5157 |
| H30 | H | 2a | 2 | 0.2754 | 0.5651 | 0.2178 |
| H31 | H | 2a | 2 | 0.4511 | 0.6744 | 0.1367 |
| H32 | H | 2a | 2 | 0.4391 | 0.4999 | 0.0779 |
| H33 | H | 2a | 2 | 0.0600 | 0.0317 | 0.5218 |
| H34 | H | 2a | 2 | 0.1855 | 0.1140 | 0.6206 |
| O35 | O | 2a | 2 | 0.1712 | 0.3469 | 0.3909 |
| O36 | O | 2a | 2 | 0.0300 | 0.2356 | 0.6207 |
| O37 | O | 2a | 2 | 0.2288 | 0.4357 | 0.7473 |
| O38 | O | 2a | 2 | 0.2123 | 0.0945 | 0.3161 |
| O39 | O | 2a | 2 | 0.3090 | 0.7481 | 0.7028 |
| O40 | O | 2a | 2 | -0.0743 | 0.3177 | 0.2041 |
| O41 | O | 2a | 2 | 0.3488 | 0.8138 | 0.3552 |
| O42 | O | 2a | 2 | -0.0218 | 0.0972 | -0.0892 |
| O43 | O | 2a | 2 | 0.3773 | 0.3989 | 0.3685 |
| O44 | O | 2a | 2 | 0.5816 | 0.5457 | 0.2860 |
| O45 | O | 2a | 2 | 0.3265 | 0.2387 | 0.0398 |
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 90 atoms drawn above are these sites multiplied by all 2 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
A12B22C11_mP90_4_12a_22a_11a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP90, then the space-group number 4, then the Wyckoff letters occupied by each element in turn (C: 2a; C: 2a; C: 2a; C: 2a; C: 2a; C: 2a; C: 2a; C: 2a; C: 2a; C: 2a; C: 2a; C: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; H: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: D-Sucrose.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A12B22C11_mP90_4_12a_22a_11a-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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