AFLOW Prototype: A4B_tI10_139_de_a
Prototype | : | Al4Ba |
AFLOW prototype label | : | A4B_tI10_139_de_a |
Strukturbericht designation | : | $D1_{3}$ |
Pearson symbol | : | tI10 |
Space group number | : | 139 |
Space group symbol | : | $\text{I4/mmm}$ |
AFLOW prototype command | : | aflow --proto=A4B_tI10_139_de_a --params=$a$,$c/a$,$z_3$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B_1} & = & 0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = & 0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(2a\right) & \text{Ba} \\ \mathbf{B_2} & =& \frac34 \, \mathbf{a}_{1} + \frac14 \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& \frac12 \, a \, \mathbf{\hat{y}} + \frac14 \, c \, \mathbf{\hat{z}}& \left(4d\right) & \text{Al I} \\ \mathbf{B_3} & =& \frac14 \, \mathbf{a}_{1} + \frac34 \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& \frac12 \, a \, \mathbf{\hat{x}} + \frac14 \, c \, \mathbf{\hat{z}}& \left(4d\right) & \text{Al I} \\ \mathbf{B_4} & =& z_3 \, \mathbf{a}_{1} + z_3 \, \mathbf{a}_{2}& =& z_3 \, c \, \mathbf{\hat{z}}& \left(4e\right) & \text{Al II} \\ \mathbf{B_5} & =& - z_3 \, \mathbf{a}_{1} - z_3 \, \mathbf{a}_{2}& =& - z_3 \, c \, \mathbf{\hat{z}}& \left(4e\right) & \text{Al II} \\ \end{array} \]