Skip to content

Crystal Lab › Prototype structures › Hexagonal

YBa₃B₉O₁₈

Hexagonal · space group P63/m (No. 176) · Pearson hP62

Symmetry elements and Wyckoff positions (interactive)

YBa₃B₉O₁₈ in P63/m

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

Unit cell

Lattice constants
a = 7.176 Å, b = 7.176 Å, c = 16.966 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
756.6 ų
Atoms in the conventional cell
62 (Ba 6, Y 2, B 18, O 36)
Formula units Z
2
Pearson symbol
hP62 — hexagonal / trigonal, primitive lattice, 62 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba3Ba2a20.00000.00000.2500
Y9Y2b20.00000.00000.0000
Ba4Ba4f40.33330.66670.6311
B1B6h60.50650.88550.2500
O5O6h60.29160.83400.2500
O6O6h60.66920.08150.2500
B2B12i120.55120.71460.0827
O7O12i120.49770.87740.0811
O8O12i120.75150.75390.0818

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 62 atoms drawn above are these sites multiplied by all 12 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

A9B3C18D_hP62_176_hi_af_2h2i_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP62, then the space-group number 176, then the Wyckoff letters occupied by each element in turn (Ba: 2a; Y: 2b; Ba: 4f; B: 6h; O: 6h; O: 6h; B: 12i; O: 12i; O: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

DyBa₃B₉O₁₈, ErBa₃B₉O₁₈, EuBa₃B₉O₁₈, GdBa₃B₉O₁₈, HoBa₃B₉O₁₈, NdBa₃B₉O₁₈, PrBa₃B₉O₁₈, ScBa₃B₉O₁₈, SmBa₃B₉O₁₈, TbBa₃B₉O₁₈, TmBa₃B₉O₁₈, YbBa₃B₉O₁₈ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A9B3C18D_hP62_176_hi_af_2h2i_b-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.

← Fe₂(CO)₉ (F4₁)  ·  Space group P63/m (19 prototypes)  ·  All prototypes  ·  K₃W₂Cl₉ (K7₁) →