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Crystal Lab › Prototype structures › Monoclinic

Eudidymite (BeHNaO₈Si₃)

Monoclinic · space group C12/c1 (No. 15) · Pearson mC124 · mineral: eudidymite

Symmetry elements and Wyckoff positions (interactive)

Eudidymite (BeHNaO₈Si₃) in C12/c1

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

Unit cell

Lattice constants
a = 12.619 Å, b = 7.378 Å, c = 13.994 Å; α = 90.00°, β = 103.76°, γ = 90.00°
Cell volume
1265.5 ų
Atoms in the conventional cell
124 (O 68, Be 8, H 16, Na 8, Si 24)
Formula units Z
4
Pearson symbol
mC124 — monoclinic, base-centred lattice, 124 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O5O4e40.00000.82680.2500
Be1Be8f80.33180.82320.5029
H2H8f80.41600.96450.2551
H3H8f80.52270.04190.2514
Na4Na8f80.47100.84080.0715
O10O8f80.34520.99860.9438
O11O8f80.87150.05190.1246
O12O8f80.44760.75690.5627
O13O8f80.48790.93100.2553
O6O8f80.92730.03250.3739
O7O8f80.75960.18030.8846
O8O8f80.75950.16470.4295
O9O8f80.26320.93860.7552
Si14Si8f80.79580.01970.3587
Si15Si8f80.74830.10250.1335
Si16Si8f80.47040.59400.6381

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 124 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

A2B4C2D17E6_mC124_15_f_2f_f_e8f_3f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC124, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (O: 4e; Be: 8f; H: 8f; H: 8f; Na: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; Si: 8f; Si: 8f; Si: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Eudidymite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B4C2D17E6_mC124_15_f_2f_f_e8f_3f-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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