Li2PrO3 Structure : A2B3C_oC12_65_h_bh_a
| Prototype | : | Li2O3Pr |
| AFLOW prototype label | : | A2B3C_oC12_65_h_bh_a |
| Strukturbericht designation | : | None |
| Pearson symbol | : | oC12 |
| Space group number | : | 65 |
| Space group symbol | : | $Cmmm$ |
| AFLOW prototype command | : | aflow --proto=A2B3C_oC12_65_h_bh_a --params=$a$,$b/a$,$c/a$,$x_{3}$,$x_{4}$ |
Other compounds with this structure
- Na2PrO3
- Data was taken at 20K.
Base-centered Orthorhombic primitive vectors:
\[ \begin{array}{ccc} \mathbf{a}_1 & = & \frac12 \, a \, \mathbf{\hat{x}} - \frac12 \, b \, \mathbf{\hat{y}} \\ \mathbf{a}_2 & = & \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, b \, \mathbf{\hat{y}} \\ \mathbf{a}_3 & = & c \, \mathbf{\hat{z}} \\ \end{array} \]
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = & 0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = & 0 \, \mathbf{\hat{x}} + 0 \, \mathbf{\hat{y}} + 0 \, \mathbf{\hat{z}} & \left(2a\right) & \text{Pr} \\ \mathbf{B}_{2} & = & \frac{1}{2} \, \mathbf{a}_{1} + \frac{1}{2} \, \mathbf{a}_{2} & = & \frac{1}{2}a \, \mathbf{\hat{x}} & \left(2b\right) & \text{O I} \\ \mathbf{B}_{3} & = & x_{3} \, \mathbf{a}_{1} + x_{3} \, \mathbf{a}_{2} + \frac{1}{2} \, \mathbf{a}_{3} & = & x_{3}a \, \mathbf{\hat{x}} + \frac{1}{2}c \, \mathbf{\hat{z}} & \left(4h\right) & \text{Li} \\ \mathbf{B}_{4} & = & -x_{3} \, \mathbf{a}_{1}-x_{3} \, \mathbf{a}_{2} + \frac{1}{2} \, \mathbf{a}_{3} & = & -x_{3}a \, \mathbf{\hat{x}} + \frac{1}{2}c \, \mathbf{\hat{z}} & \left(4h\right) & \text{Li} \\ \mathbf{B}_{5} & = & x_{4} \, \mathbf{a}_{1} + x_{4} \, \mathbf{a}_{2} + \frac{1}{2} \, \mathbf{a}_{3} & = & x_{4}a \, \mathbf{\hat{x}} + \frac{1}{2}c \, \mathbf{\hat{z}} & \left(4h\right) & \text{O II} \\ \mathbf{B}_{6} & = & -x_{4} \, \mathbf{a}_{1}-x_{4} \, \mathbf{a}_{2} + \frac{1}{2} \, \mathbf{a}_{3} & = & -x_{4}a \, \mathbf{\hat{x}} + \frac{1}{2}c \, \mathbf{\hat{z}} & \left(4h\right) & \text{O II} \\ \end{array} \]References
- Y. Hinatsu and Y. Doi, Crystal structures and magnetic properties of alkali–metal lanthanide oxides $A2$Ln$O3 ($A$ = Li, Na; $Ln$ = Ce, Pr, Tb), J. Alloys\ Compd. 418, 155–160 (2006), doi:10.1016/j.jallcom.2005.08.100.