Skip to content

Crystal Lab › Prototype structures › Tetragonal

Na₃V₂(PO₄)₂F₃ (NVPF-F)

Tetragonal · space group P42/mnm (No. 136) · Pearson tP76

Symmetry elements and Wyckoff positions (interactive)

Na₃V₂(PO₄)₂F₃ (NVPF-F) in P42/mnm

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

Unit cell

Lattice constants
a = 9.051 Å, b = 9.051 Å, c = 10.678 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
874.7 ų
Atoms in the conventional cell
76 (P 8, F 12, Na 16, O 32, V 8)
Formula units Z
4
Pearson symbol
tP76 — tetragonal, primitive lattice, 76 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
P1P4d40.00000.50000.2500
P2P4e40.00000.00000.2502
F3F4f40.23210.23210.0000
Na4Na8i80.51800.25430.0000
Na5Na8i80.79530.06260.0000
F6F8j80.24900.24900.3567
O7O8j80.09650.09650.1712
O8O8j80.42790.42790.1578
V9V8j80.25750.25750.1865
O10O16k160.09310.38970.1558

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 76 atoms drawn above are these sites multiplied by all 16 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

A3B4C8D2E2_tP76_136_fj_2i_2jk_de_j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP76, then the space-group number 136, then the Wyckoff letters occupied by each element in turn (P: 4d; P: 4e; F: 4f; Na: 8i; Na: 8i; F: 8j; O: 8j; O: 8j; V: 8j; O: 16k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: NVPF-F.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4C8D2E2_tP76_136_fj_2i_2jk_de_j-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.

← Rutile (TiO₂, C4)  ·  Space group P42/mnm (18 prototypes)  ·  All prototypes  ·  Tetragonal Ba₃Zr₂S₇ — Ba₃S₇Zr₂ →