Skip to content

Crystal Lab › Prototype structures › Monoclinic

α-LiZnPO₄ LiO₄PZn

Monoclinic · space group C1c1 (No. 9) · Pearson mC224

Symmetry elements and Wyckoff positions (interactive)

α-LiZnPO₄ in C1c1

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

Unit cell

Lattice constants
a = 17.250 Å, b = 9.767 Å, c = 17.106 Å; α = 90.00°, β = 110.90°, γ = 90.00°
Cell volume
2692.4 ų
Atoms in the conventional cell
224 (Li 32, O 128, P 32, Zn 32)
Formula units Z
32
Pearson symbol
mC224 — monoclinic, base-centred lattice, 224 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li4a40.71270.80630.9097
Li2Li4a40.67660.28120.9120
Li3Li4a40.46540.32190.6607
Li4Li4a40.49700.79020.6620
Li5Li4a40.71520.06680.6605
Li6Li4a40.74410.53920.6601
Li7Li4a40.95530.06360.9110
Li8Li4a40.93060.53600.9138
O10O4a40.72270.65440.9906
O11O4a40.63010.47100.8952
O12O4a40.56890.65020.9616
O13O4a40.54260.96750.9844
O14O4a40.19640.50130.0518
O15O4a40.60460.18660.9596
O16O4a40.63660.96580.8990
O17O4a40.65770.22080.7990
O18O4a40.63260.21520.6478
O19O4a40.72850.39650.7390
O20O4a40.57480.40960.7055
O21O4a40.60240.74840.6476
O22O4a40.66540.71880.8007
O23O4a40.75700.72530.7125
O24O4a40.69030.93890.7372
O25O4a40.38100.27270.3964
O26O4a40.29060.28070.4846
O27O4a40.35390.06230.4604
O28O4a40.44520.24970.5496
O29O4a40.88390.72290.8986
O30O4a40.82130.89920.9610
O31O4a40.41310.21650.0510
O32O4a40.97450.90470.9905
O33O4a40.44030.18790.7373
O34O4a40.34970.00130.6467
O35O4a40.50510.97110.7132
O36O4a40.41290.97150.8000
O37O4a40.48020.64710.7387
O38O4a40.41460.47310.8001
O39O4a40.82680.15910.7065
O40O4a40.38490.46340.6474
O9O4a40.16440.96470.0495
P41P4a40.64670.56300.9748
P42P4a40.61890.03140.9732
P43P4a40.64930.31190.7225
P44P4a40.67970.78410.7244
P45P4a40.36680.21740.4731
P46P4a40.89820.81140.9753
P47P4a40.42770.03200.7241
P48P4a40.40100.56120.7223
Zn49Zn4a40.55100.21370.5361
Zn50Zn4a40.30130.46390.5355
Zn51Zn4a40.08330.81720.0364
Zn52Zn4a40.83800.31060.7854
Zn53Zn4a40.59020.56240.7852
Zn54Zn4a40.86920.78590.7860
Zn55Zn4a40.33260.92970.5367
Zn56Zn4a40.61600.03410.7849

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 224 atoms drawn above are these sites multiplied by all 4 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

AB4CD_mC224_9_8a_32a_8a_8a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC224, then the space-group number 9, then the Wyckoff letters occupied by each element in turn (Li: 4a; Li: 4a; Li: 4a; Li: 4a; Li: 4a; Li: 4a; Li: 4a; Li: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; P: 4a; P: 4a; P: 4a; P: 4a; P: 4a; P: 4a; P: 4a; P: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a; Zn: 4a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: α-LiZnPO₄.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4CD_mC224_9_8a_32a_8a_8a-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.

← H₃Cl (20 GPa)  ·  Space group C1c1 (11 prototypes)  ·  All prototypes