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Crystal Lab › Prototype structures › Tetragonal

Mn₄Ge₇ Nowotny Chimney-Ladder Mn₄Si₇

Tetragonal · space group P-4c2 (No. 116) · Pearson tP44

Symmetry elements and Wyckoff positions (interactive)

Mn₄Ge₇ Nowotny Chimney-Ladder in P-4c2

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

Unit cell

Lattice constants
a = 5.525 Å, b = 5.525 Å, c = 17.463 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
533.1 ų
Atoms in the conventional cell
44 (Mn 16, Si 28)
Formula units Z
4
Pearson symbol
tP44 — tetragonal, primitive lattice, 44 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Mn1Mn2a20.00000.00000.2500
Mn2Mn2c20.00000.00000.0000
Si6Si4e40.33330.33330.2500
Mn3Mn4h40.50000.50000.1250
Mn4Mn4i40.00000.50000.0625
Mn5Mn4i40.00000.50000.3125
Si7Si8j80.34360.77210.0409
Si8Si8j80.19330.15070.1129
Si9Si8j80.16270.67910.1815

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 44 atoms drawn above are these sites multiplied by all 8 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

A4B7_tP44_116_ach2i_e3j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP44, then the space-group number 116, then the Wyckoff letters occupied by each element in turn (Mn: 2a; Mn: 2c; Si: 4e; Mn: 4h; Mn: 4i; Mn: 4i; Si: 8j; Si: 8j; Si: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Nowotny Chimney-Ladder.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B7_tP44_116_ach2i_e3j-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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