AFLOW Prototype: A2B7_cI54_229_e_afh
Prototype | : | Sb2Tl7 |
AFLOW prototype label | : | A2B7_cI54_229_e_afh |
Strukturbericht designation | : | $L2_{2}$ |
Pearson symbol | : | cI54 |
Space group number | : | 229 |
Space group symbol | : | $\text{Im}\bar{3}\text{m}$ |
AFLOW prototype command | : | aflow --proto=A2B7_cI54_229_e_afh --params=$a$,$x_{2}$,$x_{3}$,$y_{4}$ |
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{Tl I} \\ \mathbf{B}_{2} & = &x_{2} \, \mathbf{a}_{2}+ x_{2} \, \mathbf{a}_{3}& = &x_{2} \, a \, \mathbf{\hat{x}}& \left(12e\right) & \text{Sb} \\ \mathbf{B}_{3} & = &x_{2} \, \mathbf{a}_{1}+ x_{2} \, \mathbf{a}_{3}& = &x_{2} \, a \, \mathbf{\hat{y}}& \left(12e\right) & \text{Sb} \\ \mathbf{B}_{4} & = &x_{2} \, \mathbf{a}_{1}+ x_{2} \, \mathbf{a}_{2}& = &x_{2} \, a \, \mathbf{\hat{z}}& \left(12e\right) & \text{Sb} \\ \mathbf{B}_{5} & = &- x_{2} \, \mathbf{a}_{2}- x_{2} \, \mathbf{a}_{3}& = &- x_{2} \, a \, \mathbf{\hat{x}}& \left(12e\right) & \text{Sb} \\ \mathbf{B}_{6} & = &- x_{2} \, \mathbf{a}_{1}- x_{2} \, \mathbf{a}_{3}& = &- x_{2} \, a \, \mathbf{\hat{y}}& \left(12e\right) & \text{Sb} \\ \mathbf{B}_{7} & = &- x_{2} \, \mathbf{a}_{1}- x_{2} \, \mathbf{a}_{2}& = &- x_{2} \, a \, \mathbf{\hat{z}}& \left(12e\right) & \text{Sb} \\ \mathbf{B}_{8} & = &2 x_{3} \, \mathbf{a}_{1}+ 2 x_{3} \, \mathbf{a}_{2}+ 2 x_{3} \, \mathbf{a}_{3}& = &x_{3} \, a \, \mathbf{\hat{x}}+ x_{3} \, a \, \mathbf{\hat{y}}+ x_{3} \, a \, \mathbf{\hat{z}}& \left(16f\right) & \text{Tl II} \\ \mathbf{B}_{9} & = &- 2 x_{3} \, \mathbf{a}_{3}& = &- x_{3} \, a \, \mathbf{\hat{x}}- x_{3} \, a \, \mathbf{\hat{y}}+ x_{3} \, a \, \mathbf{\hat{z}}& \left(16f\right) & \text{Tl II} \\ \mathbf{B}_{10} & = &- 2 x_{3} \, \mathbf{a}_{2}& = &- x_{3} \, a \, \mathbf{\hat{x}}+ x_{3} \, a \, \mathbf{\hat{y}}- x_{3} \, a \, \mathbf{\hat{z}}& \left(16f\right) & \text{Tl II} \\ \mathbf{B}_{11} & = &- 2 x_{3} \, \mathbf{a}_{1}& = &x_{3} \, a \, \mathbf{\hat{x}}- x_{3} \, a \, \mathbf{\hat{y}}- x_{3} \, a \, \mathbf{\hat{z}}& \left(16f\right) & \text{Tl II} \\ \mathbf{B}_{12} & = &2 x_{3} \, \mathbf{a}_{3}& = &x_{3} \, a \, \mathbf{\hat{x}}+ x_{3} \, a \, \mathbf{\hat{y}}- x_{3} \, a \, \mathbf{\hat{z}}& \left(16f\right) & \text{Tl II} \\ \mathbf{B}_{13} & = &- 2 x_{3} \, \mathbf{a}_{1}- 2 x_{3} \, \mathbf{a}_{2}- 2 x_{3} \, \mathbf{a}_{3}& = &- x_{3} \, a \, \mathbf{\hat{x}}- x_{3} \, a \, \mathbf{\hat{y}}- x_{3} \, a \, \mathbf{\hat{z}}& \left(16f\right) & \text{Tl II} \\ \mathbf{B}_{14} & = &2 x_{3} \, \mathbf{a}_{2}& = &x_{3} \, a \, \mathbf{\hat{x}}- x_{3} \, a \, \mathbf{\hat{y}}+ x_{3} \, a \, \mathbf{\hat{z}}& \left(16f\right) & \text{Tl II} \\ \mathbf{B}_{15} & = &2 x_{3} \, \mathbf{a}_{1}& = &- x_{3} \, a \, \mathbf{\hat{x}}+ x_{3} \, a \, \mathbf{\hat{y}}+ x_{3} \, a \, \mathbf{\hat{z}}& \left(16f\right) & \text{Tl II} \\ \mathbf{B}_{16} & = &2 y_{4} \, \mathbf{a}_{1}+ y_{4} \, \mathbf{a}_{2}+ y_{4} \, \mathbf{a}_{3}& = &y_{4} \, a \, \mathbf{\hat{y}}+ y_{4} \, a \, \mathbf{\hat{z}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{17} & = &y_{4} \, \mathbf{a}_{2}- y_{4} \, \mathbf{a}_{3}& = &- y_{4} \, a \, \mathbf{\hat{y}}+ y_{4} \, a \, \mathbf{\hat{z}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{18} & = &- y_{4} \, \mathbf{a}_{2}+ y_{4} \, \mathbf{a}_{3}& = &y_{4} \, a \, \mathbf{\hat{y}}- y_{4} \, a \, \mathbf{\hat{z}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{19} & = &- 2 y_{4} \, \mathbf{a}_{1}- y_{4} \, \mathbf{a}_{2}- y_{4} \, \mathbf{a}_{3}& = &- y_{4} \, a \, \mathbf{\hat{y}}- y_{4} \, a \, \mathbf{\hat{z}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{20} & = &y_{4} \, \mathbf{a}_{1}+ 2 y_{4} \, \mathbf{a}_{2}+ y_{4} \, \mathbf{a}_{3}& = &y_{4} \, a \, \mathbf{\hat{x}}+ y_{4} \, a \, \mathbf{\hat{z}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{21} & = &- y_{4} \, \mathbf{a}_{1}+ y_{4} \, \mathbf{a}_{3}& = &y_{4} \, a \, \mathbf{\hat{x}}- y_{4} \, a \, \mathbf{\hat{z}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{22} & = &y_{4} \, \mathbf{a}_{1}- y_{4} \, \mathbf{a}_{3}& = &- y_{4} \, a \, \mathbf{\hat{x}}+ y_{4} \, a \, \mathbf{\hat{z}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{23} & = &- y_{4} \, \mathbf{a}_{1}- 2 y_{4} \, \mathbf{a}_{2}- y_{4} \, \mathbf{a}_{3}& = &- y_{4} \, a \, \mathbf{\hat{x}}- y_{4} \, a \, \mathbf{\hat{z}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{24} & = &y_{4} \, \mathbf{a}_{1}+ y_{4} \, \mathbf{a}_{2}+ 2 y_{4} \, \mathbf{a}_{3}& = &y_{4} \, a \, \mathbf{\hat{x}}+ y_{4} \, a \, \mathbf{\hat{y}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{25} & = &y_{4} \, \mathbf{a}_{1}- y_{4} \, \mathbf{a}_{2}& = &- y_{4} \, a \, \mathbf{\hat{x}}+ y_{4} \, a \, \mathbf{\hat{y}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{26} & = &- y_{4} \, \mathbf{a}_{1}+ y_{4} \, \mathbf{a}_{2}& = &y_{4} \, a \, \mathbf{\hat{x}}- y_{4} \, a \, \mathbf{\hat{y}}& \left(24h\right) & \text{Tl III} \\ \mathbf{B}_{27} & = &- y_{4} \, \mathbf{a}_{1}- y_{4} \, \mathbf{a}_{2}- 2 y_{4} \, \mathbf{a}_{3}& = &- y_{4} \, a \, \mathbf{\hat{x}}- y_{4} \, a \, \mathbf{\hat{y}}& \left(24h\right) & \text{Tl III} \\ \end{array} \]