Skip to content

Crystal Lab › Prototype structures › Tetragonal

Cr₅B₃ (D8_{l})

Tetragonal · space group I4/mcm (No. 140) · Pearson tI32 · Strukturbericht D8l

Symmetry elements and Wyckoff positions (interactive)

Cr₅B₃ (D8_{l}) in I4/mcm

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

Unit cell

Lattice constants
a = 5.460 Å, b = 5.460 Å, c = 10.640 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
317.2 ų
Atoms in the conventional cell
32 (B 12, Cr 20)
Formula units Z
4
Pearson symbol
tI32 — tetragonal, body-centred lattice, 32 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
B1B4a40.00000.00000.2500
Cr3Cr4c40.00000.00000.0000
B2B8h80.62500.12500.0000
Cr4Cr16l160.16600.66600.1500

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 32 atoms drawn above are these sites multiplied by all 32 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

A3B5_tI32_140_ah_cl-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI32, then the space-group number 140, then the Wyckoff letters occupied by each element in turn (B: 4a; Cr: 4c; B: 8h; Cr: 16l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ca₅Si₃, Eu₅Ge₃, EuIrGe₂, Fe₅PB₂, Fe₅SiB₂, Fe₄CoPB₂, Fe₄CoSiB₂, Fe₄MnPB₂, Fe₄MnSiB₂, Gd₅CoSi₂, Mo₅SiB₂, Nb₅Si₃, Pr₅Si₃, Sr₅In₃, Sr₅Si₃, Sr₅Sn₃, Ta₅Ge₃, Ta₅Si₃ <!--beginning with an

Note: D8_{l}.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B5_tI32_140_ah_cl-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.

← W₅Si₃ (D8_{m})  ·  Space group I4/mcm (18 prototypes)  ·  All prototypes  ·  Low Temperature Body-Centered Tetragonal CH₃NH₃PbBr₃ — Br₃CH₆NPb →