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Crystal Lab › Prototype structures › Tetragonal

CaBe₂Ge₂

Tetragonal · space group P4/nmm (No. 129) · Pearson tP10

Symmetry elements and Wyckoff positions (interactive)

CaBe₂Ge₂ in P4/nmm

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

Unit cell

Lattice constants
a = 4.020 Å, b = 4.020 Å, c = 9.920 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
160.3 ų
Atoms in the conventional cell
10 (Be 4, Ge 4, Ca 2)
Formula units Z
2
Pearson symbol
tP10 — tetragonal, primitive lattice, 10 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Be1Be2a20.75000.25000.0000
Ge4Ge2b20.75000.25000.5000
Be2Be2c20.25000.25000.6080
Ca3Ca2c20.25000.25000.2490
Ge5Ge2c20.25000.25000.8680

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 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

A2BC2_tP10_129_ac_c_bc-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP10, then the space-group number 129, then the Wyckoff letters occupied by each element in turn (Be: 2a; Ge: 2b; Be: 2c; Ca: 2c; Ge: 2c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

BaAu₂Sn₂, BaMg₂Pb₂, BaPd₂Sb₂, BaZn₂Sn₂, CeCu₂Sn₂, CeRh₂As₂, CeRh₂P₂, EuAu₂Al₂, EuPd₂Sb₂, EuPt₂Ge₂, HoPt₂Si₂, LaCu₂Sn₂, LaPt₂Bi₂, LaPt₂Ge₂, LaPt₂Si₂, LaRh₂As₂, LaRh₂P₂, LiPd₂Bi₂, NdRh₂As₂, NdRh₂P₂, PrRh₂As₂, PrRh₂P₂, SrAu₂Sn₂, SrCu₂Sn₂, SrPd₂Sb₂, SrPt₂As₂, ThIr₂Si₂, ThPt₂Si₂, UIr₂Si₂, UPt₂Si₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC2_tP10_129_ac_c_bc-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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