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Crystal Lab › Prototype structures › Monoclinic

Gd₂SiO₅ (RE₂SiO₅ X1)

Monoclinic · space group P121/c1 (No. 14) · Pearson mP32

Symmetry elements and Wyckoff positions (interactive)

Gd₂SiO₅ (RE₂SiO₅ X1) in P121/c1

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

Unit cell

Lattice constants
a = 12.975 Å, b = 7.060 Å, c = 6.830 Å; α = 90.00°, β = 137.70°, γ = 90.00°
Cell volume
421.1 ų
Atoms in the conventional cell
32 (Gd 8, O 20, Si 4)
Formula units Z
4
Pearson symbol
mP32 — monoclinic, primitive lattice, 32 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Gd1Gd4e40.97540.12450.7411
Gd2Gd4e40.61450.14600.5308
O3O4e40.88370.37820.4324
O4O4e40.70320.06980.3485
O5O4e40.63170.45870.3837
O6O4e40.40590.26810.9552
O7O4e40.11610.36390.1102
Si8Si4e40.70200.58760.6618

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 4 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

A2B5C_mP32_14_2e_5e_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP32, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (Gd: 4e; Gd: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; Si: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Dy₂SiO₅, La₂SiO₅, Tb₂SiO₅, Y₂SiO₅ <!--beginning with an

Note: ``X1'' Structure.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B5C_mP32_14_2e_5e_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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