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Crystal Lab › Prototype structures › Monoclinic

Na₂Ca₆Si₄O₁₅

Monoclinic · space group P1c1 (No. 7) · Pearson mP54

Symmetry elements and Wyckoff positions (interactive)

Na₂Ca₆Si₄O₁₅ in P1c1

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

Unit cell

Lattice constants
a = 9.011 Å, b = 7.317 Å, c = 10.972 Å; α = 90.00°, β = 107.72°, γ = 90.00°
Cell volume
689.1 ų
Atoms in the conventional cell
54 (Ca 12, Na 4, O 30, Si 8)
Formula units Z
2
Pearson symbol
mP54 — monoclinic, primitive lattice, 54 atoms per conventional cell
Symmetry operations
2 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca1Ca2a20.65910.26580.9234
Ca2Ca2a20.32180.50470.8269
Ca3Ca2a20.68520.00440.6671
Ca4Ca2a20.00220.25410.7264
Ca5Ca2a20.00330.75310.6875
Ca6Ca2a20.34460.22910.0951
Na7Na2a20.68210.71800.9259
Na8Na2a20.32690.21440.5877
O10O2a20.73340.31660.6707
O11O2a20.73690.69180.6766
O12O2a20.93570.99410.8138
O13O2a20.28370.81480.8126
O14O2a20.07230.51190.8465
O15O2a20.50300.47760.0220
O16O2a20.47180.97590.4971
O17O2a20.82680.01590.0177
O18O2a20.99890.74770.0003
O19O2a20.50120.01470.7660
O20O2a20.54400.50160.7679
O21O2a20.26930.19240.8090
O22O2a20.12820.06970.0515
O23O2a20.88620.42520.9884
O9O2a20.17930.48320.1037
Si24Si2a20.63360.50490.6619
Si25Si2a20.37290.99130.3444
Si26Si2a20.97370.96770.9653
Si27Si2a20.03330.53040.9794

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 54 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

A6B2C15D4_mP54_7_6a_2a_15a_4a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP54, then the space-group number 7, then the Wyckoff letters occupied by each element in turn (Ca: 2a; Ca: 2a; Ca: 2a; Ca: 2a; Ca: 2a; Ca: 2a; Na: 2a; Na: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; Si: 2a; Si: 2a; Si: 2a; Si: 2a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B2C15D4_mP54_7_6a_2a_15a_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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