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β-KYb₂F₇ F₇KYb₂

Monoclinic · space group P121 (No. 3) · Pearson mP10

Symmetry elements and Wyckoff positions (interactive)

β-KYb₂F₇ in P121

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

Unit cell

Lattice constants
a = 6.528 Å, b = 4.217 Å, c = 10.990 Å; α = 90.00°, β = 148.23°, γ = 90.00°
Cell volume
159.3 ų
Atoms in the conventional cell
10 (F 7, K 1, Yb 2)
Formula units Z
1
Pearson symbol
mP10 — monoclinic, primitive lattice, 10 atoms per conventional cell
Symmetry operations
2 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
F1F1a10.00000.89280.0000
K2K1b10.00000.50000.5000
F3F2e20.37200.00000.8290
F4F2e20.62200.00000.4546
F5F2e20.00440.50000.7932
Yb6Yb2e20.00100.00000.8088

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 10 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

A7BC2_mP10_3_a3e_b_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP10, then the space-group number 3, then the Wyckoff letters occupied by each element in turn (F: 1a; K: 1b; F: 2e; F: 2e; F: 2e; Yb: 2e). 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 A7BC2_mP10_3_a3e_b_e-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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