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Crystal Lab › Prototype structures › Tetragonal

β-Ca₂P₂O₇ Ca₂O₇P₂

Tetragonal · space group P41 (No. 76) · Pearson tP88

Symmetry elements and Wyckoff positions (interactive)

β-Ca₂P₂O₇ in P41

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

Unit cell

Lattice constants
a = 6.686 Å, b = 6.686 Å, c = 24.147 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1079.4 ų
Atoms in the conventional cell
88 (Ca 16, O 56, P 16)
Formula units Z
8
Pearson symbol
tP88 — tetragonal, primitive lattice, 88 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca1Ca4a40.13740.23130.0000
Ca2Ca4a40.15910.54470.2426
Ca3Ca4a40.78950.73370.1380
Ca4Ca4a40.36270.10540.1355
O10O4a40.05190.17690.0953
O11O4a40.89940.40880.1695
O12O4a40.85370.79070.0433
O13O4a40.18550.87950.9989
O14O4a40.02290.55420.9751
O15O4a40.15820.58730.0666
O16O4a40.34500.45260.1474
O17O4a40.46220.77560.1015
O18O4a40.14740.77220.1572
O5O4a40.46070.15840.0426
O6O4a40.77270.19840.9867
O7O4a40.53030.49210.9999
O8O4a40.73950.37760.0789
O9O4a40.73640.08730.1469
P19P4a40.62130.30780.0234
P20P4a40.86730.25340.1243
P21P4a40.04630.71480.0186
P22P4a40.28730.64620.1207

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 88 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

A2B7C2_tP88_76_4a_14a_4a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP88, then the space-group number 76, then the Wyckoff letters occupied by each element in turn (Ca: 4a; Ca: 4a; Ca: 4a; Ca: 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). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Eu₂Si₂O₇, La₂Si₂O₇, Nd₂Si₂O₇, Pr₂Si₂O₇, Sm₂Si₂O₇ <!--beginning with an

Note: \beta-Ca₂P₂O₇.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B7C2_tP88_76_4a_14a_4a-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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