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Crystal Lab › Prototype structures › Tetragonal

HgBa₂CaCu₂O₆ (Hg-1212)

Tetragonal · space group P4/mmm (No. 123) · Pearson tP12

Symmetry elements and Wyckoff positions (interactive)

HgBa₂CaCu₂O₆ (Hg-1212) in P4/mmm

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

Unit cell

Lattice constants
a = 3.849 Å, b = 3.849 Å, c = 12.646 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
187.4 ų
Atoms in the conventional cell
12 (Hg 1, Ca 1, Cu 2, O 6, Ba 2)
Formula units Z
1
Pearson symbol
tP12 — tetragonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Hg1Hg1b10.00000.00000.5000
Ca2Ca1c10.50000.50000.0000
Cu3Cu2g20.00000.00000.1226
O4O2g20.00000.00000.3430
Ba5Ba2h20.50000.50000.2783
O6O4i40.00000.50000.1227

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 12 atoms drawn above are these sites multiplied by all 16 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

A2BC2DE6_tP12_123_h_c_g_b_gi-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP12, then the space-group number 123, then the Wyckoff letters occupied by each element in turn (Hg: 1b; Ca: 1c; Cu: 2g; O: 2g; Ba: 2h; O: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

SnSr₂CaCu₂O_{7-x}, TlSr₂PrCu₂O_{7-x} <!--beginning with an

Note: Hg-1212.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC2DE6_tP12_123_h_c_g_b_gi-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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