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Crystal Lab › Prototype structures › Monoclinic

True Low Nasicon (Na₃Zr₂Si₂PO₁₂)

Monoclinic · space group C12/c1 (No. 15) · Pearson mC92 · mineral: nasicon

Symmetry elements and Wyckoff positions (interactive)

True Low Nasicon (Na₃Zr₂Si₂PO₁₂) in C12/c1

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

Unit cell

Lattice constants
a = 15.669 Å, b = 9.055 Å, c = 12.967 Å; α = 90.00°, β = 143.86°, γ = 90.00°
Cell volume
1085.0 ų
Atoms in the conventional cell
92 (Na 24, P 4, O 48, Si 8, Zr 8)
Formula units Z
4
Pearson symbol
mC92 — monoclinic, base-centred lattice, 92 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Na1Na4a40.00000.00000.0000
Na2Na4e40.00000.14190.2500
P11P4e40.00000.79430.2500
Na3Na8f80.76720.67210.1901
Na4Na8f80.37030.39080.9382
O5O8f80.67520.68720.2782
O6O8f80.10610.69720.4202
O7O8f80.79400.43270.2937
O8O8f80.51590.88660.3864
O9O8f80.25940.93060.0594
O10O8f80.08970.89740.2598
Si12Si8f80.84810.36020.2394
Zr13Zr8f80.29430.99910.4435

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 92 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

A6B12CD2E2_mC92_15_ae2f_6f_e_f_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC92, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Na: 4a; Na: 4e; P: 4e; Na: 8f; Na: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; Si: 8f; Zr: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Low Nasicon.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B12CD2E2_mC92_15_ae2f_6f_e_f_f-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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