Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB_hP4_194_c_a-001

This structure originally had the label AB_hP4_194_c_a. Calls to that address will be redirected here.

If you are using this page, please cite:
M. J. Mehl, D. Hicks, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 1, Comp. Mat. Sci. 136, S1-S828 (2017). (doi=10.1016/j.commatsci.2017.01.017)

Links to this page

https://aflow.org/p/Y3TN
or https://aflow.org/p/AB_hP4_194_c_a-001
or PDF Version

Nickeline (NiAs, $B8_{1}$) Structure: AB_hP4_194_c_a-001

Picture of Structure; Click for Big Picture
Prototype AsNi
AFLOW prototype label AB_hP4_194_c_a-001
Strukturbericht designation $B8_{1}$
Mineral name nickeline
ICSD 61104
Pearson symbol hP4
Space group number 194
Space group symbol $P6_3/mmc$
AFLOW prototype command aflow --proto=AB_hP4_194_c_a-001
--params=$a, \allowbreak c/a$

Other compounds with this structure

AuSn,  CoAs,  $\beta$-CoS,  CoSb,  CoSe,  CoTe,  CrH,  $\beta$-CrSb,  CrSe,  CuSn,  FeS,  $\alpha$-FeSe,  $\alpha$''-FeSe,  IrPb,  IrS,  IrSb,  IrSn,  IrTe,  MgPo,  MnAs,  MnBi (L.T.),  MnSb,  MnTe (L.T.),  NbS$_{1+x}$,  NiBi,  $\delta$-NiS,  NiSb,  NiSe (H.T.),  NiSn,  NiTe,  PdSb,  PdTe,  PtB,  PtBi,  PtPb,  PtSb,  PtSn,  RhSe,  RhSn,  RhTe,  ScSe,  ThBi,  $\beta$-TiAs,  TiS,  TiSb,  TiSc,  VP,  VS,  VSb,  VSe,  VTe,  ZrTe


  • Note that the stacking is ABACABAC, with the nickel atoms on the A sites and arsenic on B and C. The local environment is fcc-like for nickel atoms and hcp-like for arsenic atoms.

\[ \begin{array}{ccc} \mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{2}a \,\mathbf{\hat{y}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{2}a \,\mathbf{\hat{y}}\\\mathbf{a_{3}}&=&c \,\mathbf{\hat{z}} \end{array}\]

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $0$ = $0$ (2a) Ni I
$\mathbf{B_{2}}$ = $\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}c \,\mathbf{\hat{z}}$ (2a) Ni I
$\mathbf{B_{3}}$ = $\frac{1}{3} \, \mathbf{a}_{1}+\frac{2}{3} \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{1}{4}c \,\mathbf{\hat{z}}$ (2c) As I
$\mathbf{B_{4}}$ = $\frac{2}{3} \, \mathbf{a}_{1}+\frac{1}{3} \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{3}{4}c \,\mathbf{\hat{z}}$ (2c) As I

References

  • P. Brand and J. Briest, Das quasi-binäre System NiAs–Ni$_{1.5}$Sn, Z. Anorganische und Allgemeine Chemie 337, 200–204 (1965), doi:10.1002/zaac.19653370314.

Found in

  • P. Villars and L. Calvert, Pearson's Handbook of Crystallographic Data for Intermetallic Phases (ASM International, Materials Park, OH, 1991), 2nd edn.

Prototype Generator

aflow --proto=AB_hP4_194_c_a --params=$a,c/a$

Species:

Running:

Output: