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Crystal Lab › Prototype structures › Trigonal

Trigonal Na₂BaMn(VO₄)₂

Trigonal · space group P-3m1 (No. 164) · Pearson hP14

Symmetry elements and Wyckoff positions (interactive)

Trigonal Na₂BaMn(VO₄)₂ in P-3m1

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

Unit cell

Lattice constants
a = 5.593 Å, b = 5.593 Å, c = 7.154 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
193.8 ų
Atoms in the conventional cell
14 (Ba 1, Mn 1, Na 2, O 8, V 2)
Formula units Z
1
Pearson symbol
hP14 — hexagonal / trigonal, primitive lattice, 14 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba1a10.00000.00000.0000
Mn2Mn1b10.00000.00000.5000
Na3Na2d20.33330.66670.6681
O4O2d20.33330.66670.9979
V5V2d20.33330.66670.2329
O6O6i60.82920.17080.6850

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 12 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

ABC2D8E2_hP14_164_a_b_d_di_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 164, then the Wyckoff letters occupied by each element in turn (Ba: 1a; Mn: 1b; Na: 2d; O: 2d; V: 2d; O: 6i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

K₂BaCa(PO₄)₂, K₂BaMn(VO₄)₂, K₂RbGd(VO₄)₂, K₂RbTb(VO₄)₂, Na₂BaCo(PO₄)₂, Na₂BaCo(VO₄)₂, Na₂BaFe(VO₄)₂, Na₂BaMg(PO₄)₂, Na₂BaMn(PO₄)₂, Na₂BaMn(VO₄)₂, Na₂BaNi(PO₄)₂, Sr₂BaMg(SiO₄)₂ <!--beginning with an

Note: Trigonal.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2D8E2_hP14_164_a_b_d_di_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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