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Crystal Lab › Prototype structures › Hexagonal

ZrNiAl

Hexagonal · space group P-62m (No. 189) · Pearson hP9

Symmetry elements and Wyckoff positions (interactive)

ZrNiAl in P-62m

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

Unit cell

Lattice constants
a = 6.916 Å, b = 6.916 Å, c = 3.470 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
143.7 ų
Atoms in the conventional cell
9 (Ni 3, Al 3, Zr 3)
Formula units Z
3
Pearson symbol
hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ni2Ni1b10.00000.00000.5000
Ni3Ni2c20.33330.66670.0000
Al1Al3f30.24910.00000.0000
Zr4Zr3g30.59350.00000.5000

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 9 atoms drawn above are these sites multiplied by all 12 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

ABC_hP9_189_f_bc_g-003: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP9, then the space-group number 189, then the Wyckoff letters occupied by each element in turn (Ni: 1b; Ni: 2c; Al: 3f; Zr: 3g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

AgAsCa, AgCaAs, AgDyGe, AgDySi, AgErGe, AgErSi, AgGdGe, AgGdSi, AgLuSi, AgMgY, AgMgYSi, AgSiYb, AgSmSi, AgTmSi, AgYSi, AgYbGe, AgYbSi, AlCeCu, AlCeNi, AlCePd, AlCoPu, AlCoTh, AlCoU, AlCuDy, AlCuEr, AlCuGd, AlCuHo, AlCuLu, AlCuNd, AlCuPr, AlCuSm, AlCuTb, AlCuTm, AlCuY, AlCuYb, AlDyNi, AlErNi, AlFeU, AlGdNi, AlHfNi, AlHfPt, AlHoNi, AlIrTh, AlIrU, AlLuNi, AlNdNi, AlNiPr, AlNiPu, AlNiSm, AlNiTb, AlNiTh, AlNiTm, AlNiU, AlNiY, AlNiYb, AlNiZr, AlPdTh, AlPtTh, AlPtU, AlPtZr, AlRhTh, AlRhU, AlRuU, AsCoCr, AuCeIn, AuDyIn, AuErIn, AuGdIn, AuHoIn, AuInLa, AuInLu, AuInNd, AuInPr, AuInSm, AuInTb, AuInTm, Au

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC_hP9_189_f_bc_g-003 (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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