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Crystal Lab › Prototype structures › Tetragonal

Na₄Ti₂Si₈O₂₂(H₂O)₄

Tetragonal · space group P4212 (No. 90) · Pearson tP48

Symmetry elements and Wyckoff positions (interactive)

Na₄Ti₂Si₈O₂₂(H₂O)₄ in P4212

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

Unit cell

Lattice constants
a = 7.374 Å, b = 7.374 Å, c = 10.709 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
582.3 ų
Atoms in the conventional cell
48 (O 26, Ti 2, Na 4, H 8, Si 8)
Formula units Z
2
Pearson symbol
tP48 — tetragonal, primitive lattice, 48 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O3O2c20.00000.50000.0654
Ti9Ti2c20.00000.50000.2231
Na2Na4d40.00000.00000.1693
O4O4e40.14760.14760.0000
O5O4f40.28460.28460.5000
H1H8g80.14800.25100.0010
O6O8g80.25020.03540.3276
O7O8g80.22890.38110.2635
Si8Si8g80.31960.23970.3562

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 48 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

A4B2C13D4E_tP48_90_g_d_cef2g_g_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP48, then the space-group number 90, then the Wyckoff letters occupied by each element in turn (O: 2c; Ti: 2c; Na: 4d; O: 4e; O: 4f; H: 8g; O: 8g; O: 8g; Si: 8g). 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 A4B2C13D4E_tP48_90_g_d_cef2g_g_c-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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