Skip to content

Crystal Lab › Prototype structures › Triclinic

α-Ho₂Si₂O₇ Ho₂O₇Si₂

Triclinic · space group P-1 (No. 2) · Pearson aP44

Symmetry elements and Wyckoff positions (interactive)

α-Ho₂Si₂O₇ in P-1

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

Unit cell

Lattice constants
a = 6.612 Å, b = 6.669 Å, c = 12.085 Å; α = 85.81°, β = 89.38°, γ = 88.57°
Cell volume
531.3 ų
Atoms in the conventional cell
44 (Ho 8, O 28, Si 8)
Formula units Z
4
Pearson symbol
aP44 — triclinic, primitive lattice, 44 atoms per conventional cell
Symmetry operations
2 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ho1Ho2i20.94790.33100.1167
Ho2Ho2i20.88450.09080.3592
Ho3Ho2i20.37050.77560.3695
Ho4Ho2i20.66570.82800.1059
O10O2i20.22400.09500.3785
O11O2i20.29370.42200.5099
O12O2i20.28620.21790.6870
O13O2i20.96260.22810.5714
O14O2i20.07520.57890.6864
O15O2i20.24140.91410.9990
O16O2i20.33970.78410.1903
O17O2i20.99590.67080.0797
O18O2i20.00230.01370.1857
O5O2i20.64080.48930.1258
O6O2i20.62260.14010.2096
O7O2i20.29680.29560.0948
O8O2i20.40020.42550.3040
O9O2i20.58790.17170.4454
Si19Si2i20.15390.85050.1168
Si20Si2i20.48620.33530.1761
Si21Si2i20.37810.27260.4051
Si22Si2i20.14570.37190.6179

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 44 atoms drawn above are these sites multiplied by all 2 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

A2B7C2_aP44_2_4i_14i_4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP44, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (Ho: 2i; Ho: 2i; Ho: 2i; Ho: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; Si: 2i; Si: 2i; Si: 2i; Si: 2i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: α-Ho₂Si₂O₇.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B7C2_aP44_2_4i_14i_4i-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.

← Kyanite (Al₂SiO₅, S0₁)  ·  Space group P-1 (26 prototypes)  ·  All prototypes  ·  Li₄Ba(BN₂)₂ →