Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB6C2D_tI20_87_a_eh_d_b-001

This structure originally had the label AB6C2D_tI20_87_a_eh_d_b. Calls to that address will be redirected here.

If you are using this page, please cite:
D. Hicks, M.J. Mehl, M. Esters, C. Oses, O. Levy, G.L.W. Hart, C. Toher, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 3, Comp. Mat. Sci. 199, 110450 (2021). (doi=10.1016/j.commatsci.2021.110450)

Links to this page

https://aflow.org/p/QP36
or https://aflow.org/p/AB6C2D_tI20_87_a_eh_d_b-001
or PDF Version

Sr$_{2}$NiWO$_{6}$ Structure: AB6C2D_tI20_87_a_eh_d_b-001

Picture of Structure; Click for Big Picture
Prototype NiO$_{6}$Sr$_{2}$W
AFLOW prototype label AB6C2D_tI20_87_a_eh_d_b-001
ICSD 91791
Pearson symbol tI20
Space group number 87
Space group symbol $I4/m$
AFLOW prototype command aflow --proto=AB6C2D_tI20_87_a_eh_d_b-001
--params=$a, \allowbreak c/a, \allowbreak z_{4}, \allowbreak x_{5}, \allowbreak y_{5}$

Other compounds with this structure

Sr$_{2}$MgWO$_{6}$


  • This double perovskite crystal is the ground state structure of Sr$_{2}$NiWO$_{6}$. Above 300°C it transforms into the cubic perovskite $E2_{1}$ structure.
  • (Iwanga, 2000) places the strontium atoms on the (4c) Wyckoff position, but gives the coordinates for the (4d) site. The interatomic distances they give with this structure are consistent with the (4d) site.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $0$ = $0$ (2a) Ni I
$\mathbf{B_{2}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}$ = $\frac{1}{2}c \,\mathbf{\hat{z}}$ (2b) W I
$\mathbf{B_{3}}$ = $\frac{3}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{4}c \,\mathbf{\hat{z}}$ (4d) Sr I
$\mathbf{B_{4}}$ = $\frac{1}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{4}c \,\mathbf{\hat{z}}$ (4d) Sr I
$\mathbf{B_{5}}$ = $z_{4} \, \mathbf{a}_{1}+z_{4} \, \mathbf{a}_{2}$ = $c z_{4} \,\mathbf{\hat{z}}$ (4e) O I
$\mathbf{B_{6}}$ = $- z_{4} \, \mathbf{a}_{1}- z_{4} \, \mathbf{a}_{2}$ = $- c z_{4} \,\mathbf{\hat{z}}$ (4e) O I
$\mathbf{B_{7}}$ = $y_{5} \, \mathbf{a}_{1}+x_{5} \, \mathbf{a}_{2}+\left(x_{5} + y_{5}\right) \, \mathbf{a}_{3}$ = $a x_{5} \,\mathbf{\hat{x}}+a y_{5} \,\mathbf{\hat{y}}$ (8h) O II
$\mathbf{B_{8}}$ = $- y_{5} \, \mathbf{a}_{1}- x_{5} \, \mathbf{a}_{2}- \left(x_{5} + y_{5}\right) \, \mathbf{a}_{3}$ = $- a x_{5} \,\mathbf{\hat{x}}- a y_{5} \,\mathbf{\hat{y}}$ (8h) O II
$\mathbf{B_{9}}$ = $x_{5} \, \mathbf{a}_{1}- y_{5} \, \mathbf{a}_{2}+\left(x_{5} - y_{5}\right) \, \mathbf{a}_{3}$ = $- a y_{5} \,\mathbf{\hat{x}}+a x_{5} \,\mathbf{\hat{y}}$ (8h) O II
$\mathbf{B_{10}}$ = $- x_{5} \, \mathbf{a}_{1}+y_{5} \, \mathbf{a}_{2}- \left(x_{5} - y_{5}\right) \, \mathbf{a}_{3}$ = $a y_{5} \,\mathbf{\hat{x}}- a x_{5} \,\mathbf{\hat{y}}$ (8h) O II

References

  • D. Iwanaga, Y. Inaguma, and M. Itoh, Structure and Magnetic Properties of Sr$_{2}$NiAO$_{6}$ (A = W, Te), Mater. Res. Bull. 35, 449–457 (2000), doi:10.1016/S0025-5408(00)00222-1.

Prototype Generator

aflow --proto=AB6C2D_tI20_87_a_eh_d_b --params=$a,c/a,z_{4},x_{5},y_{5}$

Species:

Running:

Output: