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124 Superconductor (YBa₂Cu₄O₈)

Orthorhombic · space group Cmmm (No. 65) · Pearson oC30

Symmetry elements and Wyckoff positions (interactive)

124 Superconductor (YBa₂Cu₄O₈) in Cmmm

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

Unit cell

Lattice constants
a = 27.263 Å, b = 3.876 Å, c = 3.845 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
406.3 ų
Atoms in the conventional cell
30 (Y 2, Cu 8, O 16, Ba 4)
Formula units Z
2
Pearson symbol
oC30 — orthorhombic, base-centred lattice, 30 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Y8Y2c20.50000.00000.5000
Cu2Cu4g40.21300.00000.0000
Cu3Cu4g40.06150.00000.0000
O4O4g40.14540.00000.0000
O5O4g40.55240.00000.0000
O6O4g40.71800.00000.0000
Ba1Ba4h40.63480.00000.5000
O7O4h40.05230.00000.5000

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 30 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

A2B4C8D_oC30_65_h_2g_3gh_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC30, then the space-group number 65, then the Wyckoff letters occupied by each element in turn (Y: 2c; Cu: 4g; Cu: 4g; O: 4g; O: 4g; O: 4g; Ba: 4h; O: 4h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: ``124 Superconductor''.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B4C8D_oC30_65_h_2g_3gh_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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