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Crystal Lab › Prototype structures › Monoclinic

Chrysotile [Mg₆O₁₁Si₄(H₂O)(OH)₆, S4₅]

Monoclinic · space group C12/m1 (No. 12) · Pearson mC112 · Strukturbericht S45 · mineral: chrysotile

Symmetry elements and Wyckoff positions (interactive)

Chrysotile [Mg₆O₁₁Si₄(H₂O)(OH)₆, S4₅] in C12/m1

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

Unit cell

Lattice constants
a = 15.311 Å, b = 18.500 Å, c = 5.330 Å; α = 90.00°, β = 107.07°, γ = 90.00°
Cell volume
1443.2 ų
Atoms in the conventional cell
112 (H 4, Mg 24, O 68, Si 16)
Formula units Z
4
Pearson symbol
mC112 — monoclinic, base-centred lattice, 112 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
H1H4e40.25000.25000.0000
Mg2Mg4g40.00000.75000.0000
Mg3Mg4i40.68000.00000.2800
O6O4i40.10000.00000.1000
OH12O4i40.25000.00000.5500
OH13O4i40.60000.00000.6000
Mg4Mg8j80.68000.17000.7800
Mg5Mg8j80.68000.08000.2800
O10O8j80.25000.92000.0500
O11O8j80.25000.83000.5500
O7O8j80.60000.37000.7500
O8O8j80.60000.37000.2500
O9O8j80.60000.25000.6000
OH14O8j80.60000.17000.1000
OH15O8j80.60000.08000.6000
Si16Si8j80.13000.92000.0300
Si17Si8j80.63000.33000.5300

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 112 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

AB6C11D6E4_mC112_12_e_gi2j_i5j_2i2j_2j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC112, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (H: 4e; Mg: 4g; Mg: 4i; O: 4i; O: 4i; O: 4i; Mg: 8j; Mg: 8j; O: 8j; O: 8j; O: 8j; O: 8j; O: 8j; O: 8j; O: 8j; Si: 8j; Si: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: S4₅, Chrysotile.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB6C11D6E4_mC112_12_e_gi2j_i5j_2i2j_2j-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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