Crystal Lab › Prototype structures › Hexagonal
Ba₆Nd₂Ti₄O₁₇
Hexagonal · space group P63/mmc (No. 194) · Pearson hP58
Symmetry elements and Wyckoff positions (interactive)
Ba₆Nd₂Ti₄O₁₇ in P63/mmc
SettingUnit cell
- Lattice constants
- a = 5.993 Å, b = 5.993 Å, c = 29.929 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 930.9 ų
- Atoms in the conventional cell
- 58 (Ba 12, Nd 4, O 34, Ti 8)
- Formula units Z
- 2
- Pearson symbol
- hP58 — hexagonal / trigonal, primitive lattice, 58 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Ba2 | Ba | 2b | 2 | 0.0000 | 0.0000 | 0.2500 |
| Nd5 | Nd | 4e | 4 | 0.0000 | 0.0000 | 0.1264 |
| Ba3 | Ba | 4f | 4 | 0.3333 | 0.6667 | 0.9123 |
| Ba4 | Ba | 4f | 4 | 0.3333 | 0.6667 | 0.1853 |
| O6 | O | 4f | 4 | 0.3333 | 0.6667 | 0.9961 |
| Ti10 | Ti | 4f | 4 | 0.3333 | 0.6667 | 0.0527 |
| Ti11 | Ti | 4f | 4 | 0.3333 | 0.6667 | 0.7949 |
| O7 | O | 6h | 6 | 0.5220 | 0.0440 | 0.2500 |
| O8 | O | 12k | 12 | 0.1705 | 0.3410 | 0.0754 |
| O9 | O | 12k | 12 | 0.1782 | 0.3564 | 0.6700 |
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 58 atoms drawn above are these sites multiplied by all 24 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
A6B2C17D4_hP58_194_ab2f_e_fh2k_2f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP58, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Ba: 2a; Ba: 2b; Nd: 4e; Ba: 4f; Ba: 4f; O: 4f; Ti: 4f; Ti: 4f; O: 6h; O: 12k; O: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ba₆Y₂Ti₄O₁₇, Ba₆Y₂Rh₂Ti₂O₁₇ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B2C17D4_hP58_194_ab2f_e_fh2k_2f-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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