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Crystal Lab › Prototype structures › Monoclinic

K₂Ti₂O₅

Monoclinic · space group C12/m1 (No. 12) · Pearson mC18

Symmetry elements and Wyckoff positions (interactive)

K₂Ti₂O₅ in C12/m1

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

Unit cell

Lattice constants
a = 11.370 Å, b = 3.800 Å, c = 6.620 Å; α = 90.00°, β = 100.10°, γ = 90.00°
Cell volume
281.6 ų
Atoms in the conventional cell
18 (O 10, K 4, Ti 4)
Formula units Z
2
Pearson symbol
mC18 — monoclinic, base-centred lattice, 18 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O2O2a20.00000.00000.0000
K1K4i40.59780.00000.3561
O3O4i40.87200.00000.3360
O4O4i40.67500.00000.9920
Ti5Ti4i40.85050.00000.0928

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 18 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

A2B5C2_mC18_12_i_a2i_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC18, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (O: 2a; K: 4i; O: 4i; O: 4i; Ti: 4i). 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 A2B5C2_mC18_12_i_a2i_i-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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