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Crystal Lab › Prototype structures › Hexagonal

Er₂RhSi₃

Hexagonal · space group P-62c (No. 190) · Pearson hP24

Symmetry elements and Wyckoff positions (interactive)

Er₂RhSi₃ in P-62c

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

Unit cell

Lattice constants
a = 8.036 Å, b = 8.036 Å, c = 7.712 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
431.3 ų
Atoms in the conventional cell
24 (Er 8, Rh 4, Si 12)
Formula units Z
4
Pearson symbol
hP24 — hexagonal / trigonal, primitive lattice, 24 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Er1Er2b20.00000.00000.2500
Rh2Rh4f40.33330.66670.0000
Er3Er6h60.46200.48100.2500
Si4Si12i120.83400.16700.0000

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 24 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

A2BC3_hP24_190_bh_f_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP24, then the space-group number 190, then the Wyckoff letters occupied by each element in turn (Er: 2b; Rh: 4f; Er: 6h; Si: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ce₂NiGe₃, Ce₂RhSi₃, Ho₂RhSi₃, La₂NiGe₃, Nd₂RhSi₃, Tb₂RhSi₃, Ga₃CoLu₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC3_hP24_190_bh_f_i-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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