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Crystal Lab › Prototype structures › Monoclinic

Al₁₃Fe₄

Monoclinic · space group C12/m1 (No. 12) · Pearson mC102

Symmetry elements and Wyckoff positions (interactive)

Al₁₃Fe₄ in C12/m1

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

Unit cell

Lattice constants
a = 15.489 Å, b = 8.083 Å, c = 12.476 Å; α = 90.00°, β = 107.72°, γ = 90.00°
Cell volume
1487.9 ų
Atoms in the conventional cell
102 (Al 78, Fe 24)
Formula units Z
6
Pearson symbol
mC102 — monoclinic, base-centred lattice, 102 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al2a20.00000.00000.0000
Al2Al4h40.00000.74400.5000
Al10Al4i40.41400.00000.7190
Al3Al4i40.43600.00000.3270
Al4Al4i40.17800.00000.2230
Al5Al4i40.26500.00000.9610
Al6Al4i40.41900.00000.9180
Al7Al4i40.26900.00000.5280
Al8Al4i40.02000.00000.6730
Al9Al4i40.19000.00000.7310
Fe16Fe4i40.41400.00000.1170
Fe17Fe4i40.09900.00000.8760
Fe18Fe4i40.41000.00000.5110
Fe19Fe4i40.10000.00000.5150
Al11Al8j80.81200.71600.3890
Al12Al8j80.62700.71100.3930
Al13Al8j80.82400.71600.1660
Al14Al8j80.50500.78300.1710
Al15Al8j80.63400.72300.0210
Fe20Fe8j80.68200.78500.2230

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 102 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

A13B4_mC102_12_ah8i5j_4ij-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC102, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Al: 2a; Al: 4h; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Al: 4i; Fe: 4i; Fe: 4i; Fe: 4i; Fe: 4i; Al: 8j; Al: 8j; Al: 8j; Al: 8j; Al: 8j; Fe: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A13B4_mC102_12_ah8i5j_4ij-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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