$\alpha$–ReO3 (D09) Structure: A3B_cP4_221_d_a
| Prototype | : | $\alpha$–ReO3 |
| AFLOW prototype label | : | A3B_cP4_221_d_a |
| Strukturbericht designation | : | $D0_{9}$ |
| Pearson symbol | : | cP4 |
| Space group number | : | 221 |
| Space group symbol | : | $\mbox{Pm}\bar{3}\mbox{m}$ |
| AFLOW prototype command | : | aflow --proto=A3B_cP4_221_d_a --params=$a$ |
Other compounds with this structure
- Cu3N, WO3, UO3
Simple Cubic primitive vectors:
\[
\begin{array}{ccc}
\mathbf{a}_1 & = & a \, \mathbf{\hat{x}} \\
\mathbf{a}_2 & = & a \, \mathbf{\hat{y}} \\
\mathbf{a}_3 & = & a \, \mathbf{\hat{z}}
\end{array}
\]
Basis vectors:
\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1} & = &0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = &0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(1a\right) & \mbox{Re} \\ \mathbf{B}_{2} & = &\frac12 \, \mathbf{a}_{1}& = &\frac12 \, a \, \mathbf{\hat{x}}& \left(3d\right) & \mbox{O} \\ \mathbf{B}_{3} & = &\frac12 \, \mathbf{a}_{2}& = &\frac12 \, a \, \mathbf{\hat{y}}& \left(3d\right) & \mbox{O} \\ \mathbf{B}_{4} & = &\frac12 \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{z}}& \left(3d\right) & \mbox{O} \\ \end{array} \]References
- K. Meisel, Rheniumtrioxyd. III. Mitteilung. Über die Kristallstruktur des Rheniumtrioxyds, Z. Anorg. Allg. Chem. 207, 121–128 (1932), doi:10.1002/zaac.19322070113.
Found in
- R. T. Downs and M. Hall–Wallace, The American Mineralogist Crystal Structure Database, Am. Mineral. 88, 247–250 (2003).