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Na₂Ca₆Si₄O₁₅
Monoclinic · space group P1c1 (No. 7) · Pearson mP54
Symmetry elements and Wyckoff positions (interactive)
Na₂Ca₆Si₄O₁₅ in P1c1
SettingUnit cell
- Lattice constants
- a = 9.011 Å, b = 7.317 Å, c = 10.972 Å; α = 90.00°, β = 107.72°, γ = 90.00°
- Cell volume
- 689.1 ų
- Atoms in the conventional cell
- 54 (Ca 12, Na 4, O 30, Si 8)
- Formula units Z
- 2
- Pearson symbol
- mP54 — monoclinic, primitive lattice, 54 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ca1 | Ca | 2a | 2 | 0.6591 | 0.2658 | 0.9234 |
| Ca2 | Ca | 2a | 2 | 0.3218 | 0.5047 | 0.8269 |
| Ca3 | Ca | 2a | 2 | 0.6852 | 0.0044 | 0.6671 |
| Ca4 | Ca | 2a | 2 | 0.0022 | 0.2541 | 0.7264 |
| Ca5 | Ca | 2a | 2 | 0.0033 | 0.7531 | 0.6875 |
| Ca6 | Ca | 2a | 2 | 0.3446 | 0.2291 | 0.0951 |
| Na7 | Na | 2a | 2 | 0.6821 | 0.7180 | 0.9259 |
| Na8 | Na | 2a | 2 | 0.3269 | 0.2144 | 0.5877 |
| O10 | O | 2a | 2 | 0.7334 | 0.3166 | 0.6707 |
| O11 | O | 2a | 2 | 0.7369 | 0.6918 | 0.6766 |
| O12 | O | 2a | 2 | 0.9357 | 0.9941 | 0.8138 |
| O13 | O | 2a | 2 | 0.2837 | 0.8148 | 0.8126 |
| O14 | O | 2a | 2 | 0.0723 | 0.5119 | 0.8465 |
| O15 | O | 2a | 2 | 0.5030 | 0.4776 | 0.0220 |
| O16 | O | 2a | 2 | 0.4718 | 0.9759 | 0.4971 |
| O17 | O | 2a | 2 | 0.8268 | 0.0159 | 0.0177 |
| O18 | O | 2a | 2 | 0.9989 | 0.7477 | 0.0003 |
| O19 | O | 2a | 2 | 0.5012 | 0.0147 | 0.7660 |
| O20 | O | 2a | 2 | 0.5440 | 0.5016 | 0.7679 |
| O21 | O | 2a | 2 | 0.2693 | 0.1924 | 0.8090 |
| O22 | O | 2a | 2 | 0.1282 | 0.0697 | 0.0515 |
| O23 | O | 2a | 2 | 0.8862 | 0.4252 | 0.9884 |
| O9 | O | 2a | 2 | 0.1793 | 0.4832 | 0.1037 |
| Si24 | Si | 2a | 2 | 0.6336 | 0.5049 | 0.6619 |
| Si25 | Si | 2a | 2 | 0.3729 | 0.9913 | 0.3444 |
| Si26 | Si | 2a | 2 | 0.9737 | 0.9677 | 0.9653 |
| Si27 | Si | 2a | 2 | 0.0333 | 0.5304 | 0.9794 |
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 54 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
A6B2C15D4_mP54_7_6a_2a_15a_4a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP54, then the space-group number 7, then the Wyckoff letters occupied by each element in turn (Ca: 2a; Ca: 2a; Ca: 2a; Ca: 2a; Ca: 2a; Ca: 2a; Na: 2a; Na: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; Si: 2a; Si: 2a; Si: 2a; Si: 2a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B2C15D4_mP54_7_6a_2a_15a_4a-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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