AFLOW Prototype: A2B_oC12_38_de_ab
Prototype | : | Au2V |
AFLOW prototype label | : | A2B_oC12_38_de_ab |
Strukturbericht designation | : | None |
Pearson symbol | : | oC12 |
Space group number | : | 38 |
Space group symbol | : | $\text{Amm2}$ |
AFLOW prototype command | : | aflow --proto=A2B_oC12_38_de_ab --params=$a$,$b/a$,$c/a$,$z_{1}$,$z_{2}$,$y_{3}$,$z_{3}$,$y_{4}$,$z_{4}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =& - z_{1} \, \mathbf{a}_{2} + z_{1} \, \mathbf{a}_{3}& =& z_{1} \, c \, \mathbf{\hat{z}}& \left(2a\right) & \text{V I} \\ \mathbf{B}_{2} & =& \frac12 \, \mathbf{a}_{1} - z_{2} \, \mathbf{a}_{2} + z_{2} \, \mathbf{a}_{3}& =& \frac12 \, a \, \mathbf{\hat{x}} + z_{2} \, c \, \mathbf{\hat{z}}& \left(2b\right) & \text{V II} \\ \mathbf{B}_{3} & =& \left(y_{3} - z_{3}\right) \, \mathbf{a}_{2} + \left(y_{3} + z_{3}\right) \, \mathbf{a}_{3}& =& y_{3} \, b \, \mathbf{\hat{y}} + z_{3} \, c \, \mathbf{\hat{z}}& \left(4d\right) & \text{Au I} \\ \mathbf{B}_{4} & =& - \left(y_{3} + z_{3}\right) \, \mathbf{a}_{2} + \left(z_{3} - y_{3}\right) \, \mathbf{a}_{3}& =& - y_{3} \, b \, \mathbf{\hat{y}} + z_{3} \, c \, \mathbf{\hat{z}}& \left(4d\right) & \text{Au I} \\ \mathbf{B}_{5} & =& \frac12 \, \mathbf{a}_{1} + \left(y_{4} - z_{4}\right) \, \mathbf{a}_{2} + \left(y_{4} + z_{4}\right) \, \mathbf{a}_{3}& =& \frac12 \, a \, \mathbf{\hat{x}} + y_{4} \, b \, \mathbf{\hat{y}} + z_{4} \, c \, \mathbf{\hat{z}}& \left(4e\right) & \text{Au II} \\ \mathbf{B}_{6} & =& \frac12 \, \mathbf{a}_{1} - \left(y_{4} + z_{4}\right) \, \mathbf{a}_{2} + \left(z_{4} - y_{4}\right) \, \mathbf{a}_{3}& =& \frac12 \, a \, \mathbf{\hat{x}} - y_{4} \, b \, \mathbf{\hat{y}} + z_{4} \, c \, \mathbf{\hat{z}}& \left(4e\right) & \text{Au II} \\ \end{array} \]