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Crystal Lab › Prototype structures › Orthorhombic

High Pressure Phase III CH₃NH₃PbBr₃ Br₃CH₆NPb

Orthorhombic · space group Pmn21 (No. 31) · Pearson mP138

Symmetry elements and Wyckoff positions (interactive)

High Pressure Phase III CH₃NH₃PbBr₃ in Pmn21

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

Unit cell

Lattice constants
a = 11.515 Å, b = 15.496 Å, c = 8.183 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1460.2 ų
Atoms in the conventional cell
144 (Br 24, C 8, N 8, H 96, Pb 8)
Formula units Z
8
Pearson symbol
mP138 — monoclinic, primitive lattice, 138 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Br1Br2a20.00000.38720.1740
Br2Br2a20.00000.66900.6310
Br3Br2a20.00000.83760.2470
Br4Br2a20.00000.11440.6896
C5C2a20.00000.88700.8340
C6C2a20.00000.35100.5690
C7C2a20.00000.16200.1010
C8C2a20.00000.64000.0400
N9N2a20.00000.88400.6560
N10N2a20.00000.43400.6960
N11N2a20.00000.10200.2300
N12N2a20.00000.61100.2000
Br13Br4b40.73400.52840.9622
Br14Br4b40.71880.71280.3467
Br15Br4b40.72090.78160.8669
Br16Br4b40.74840.95630.4989
H17H4b40.45820.16060.1224
H18H4b40.46930.06720.1177
H19H4b40.57260.12100.1204
H20H4b40.46370.16450.3758
H21H4b40.57850.11020.3731
H22H4b40.45780.06350.3708
H23H4b40.43450.56560.2540
H24H4b40.56040.56980.2638
H25H4b40.50510.51670.1397
H26H4b40.49600.62790.9587
H27H4b40.57000.68140.0837
H28H4b40.43400.68460.0912
H29H4b40.46200.87600.8151
H30H4b40.46510.94660.6983
H31H4b40.57280.90970.7592
H32H4b40.44750.85740.5169
H33H4b40.47550.78290.6403
H34H4b40.57690.83370.5561
H35H4b40.05820.63600.2561
H36H4b40.00900.55420.2040
H37H4b40.93290.62510.2492
H38H4b40.04440.60110.9725
H39H4b40.03400.69670.0334
H40H4b40.92160.64260.9989
Pb41Pb4b40.75160.62860.6651
Pb42Pb4b40.75320.87350.1816

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 144 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

A3BC12DE_oP144_31_4a4b_4a_24b_4a_2b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP138, then the space-group number 31, then the Wyckoff letters occupied by each element in turn (Br: 2a; Br: 2a; Br: 2a; Br: 2a; C: 2a; C: 2a; C: 2a; C: 2a; N: 2a; N: 2a; N: 2a; N: 2a; Br: 4b; Br: 4b; Br: 4b; Br: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; H: 4b; Pb: 4b; Pb: 4b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: HP-Phase III.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC12DE_oP144_31_4a4b_4a_24b_4a_2b-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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