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Crystal Lab › Prototype structures › Trigonal

Na₂BaNi(PO₄)₂

Trigonal · space group P-3 (No. 147) · Pearson hP14

Symmetry elements and Wyckoff positions (interactive)

Na₂BaNi(PO₄)₂ in P-3

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit cell

Lattice constants
a = 5.284 Å, b = 5.284 Å, c = 6.980 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
168.8 ų
Atoms in the conventional cell
14 (Ba 1, Ni 1, Na 2, O 8, P 2)
Formula units Z
1
Pearson symbol
hP14 — hexagonal / trigonal, primitive lattice, 14 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba1a10.00000.00000.0000
Ni3Ni1b10.00000.00000.5000
Na2Na2d20.33330.66670.6782
O4O2d20.33330.66670.0265
P6P2d20.33330.66670.2447
O5O6g60.23120.87560.3212

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 14 atoms drawn above are these sites multiplied by all 6 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

AB2CD8E2_hP14_147_a_d_b_dg_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP14, then the space-group number 147, then the Wyckoff letters occupied by each element in turn (Ba: 1a; Ni: 1b; Na: 2d; O: 2d; P: 2d; O: 6g). 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 AB2CD8E2_hP14_147_a_d_b_dg_d-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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