AFLOW Prototype: A2B_oC12_63_2c_c
Prototype | : | ZrSi2 |
AFLOW prototype label | : | A2B_oC12_63_2c_c |
Strukturbericht designation | : | $C49$ |
Pearson symbol | : | oC12 |
Space group number | : | 63 |
Space group symbol | : | $\text{Cmcm}$ |
AFLOW prototype command | : | aflow --proto=A2B_oC12_63_2c_c --params=$a$,$b/a$,$c/a$,$y_{1}$,$y_{2}$,$y_{3}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =& - y_{1} \, \mathbf{a}_{1} + y_{1} \, \mathbf{a}_{2} + \frac14 \, \mathbf{a}_{3}& =& y_{1} \, b \, \mathbf{\hat{y}} + \frac14 \, c \mathbf{\hat{z}}& \left(4c\right) & \text{Si I} \\ \mathbf{B}_{2} & =& y_{1} \, \mathbf{a}_{1} - y_{1} \, \mathbf{a}_{2} + \frac34 \, \mathbf{a}_{3}& =& - y_{1} \, b \, \mathbf{\hat{y}} + \frac34 \, c \mathbf{\hat{z}}& \left(4c\right) & \text{Si I} \\ \mathbf{B}_{3} & =& - y_{2} \, \mathbf{a}_{1} + y_{2} \, \mathbf{a}_{2} + \frac14 \, \mathbf{a}_{3}& =& y_{2} \, b \, \mathbf{\hat{y}} + \frac14 \, c \mathbf{\hat{z}}& \left(4c\right) & \text{Si II} \\ \mathbf{B}_{4} & =& y_{2} \, \mathbf{a}_{1} - y_{2} \, \mathbf{a}_{2} + \frac34 \, \mathbf{a}_{3}& =& - y_{2} \, b \, \mathbf{\hat{y}} + \frac34 \, c \mathbf{\hat{z}}& \left(4c\right) & \text{Si II} \\ \mathbf{B}_{5} & =& - y_{3} \, \mathbf{a}_{1} + y_{3} \, \mathbf{a}_{2} + \frac14 \, \mathbf{a}_{3}& =& y_{3} \, b \, \mathbf{\hat{y}} + \frac14 \, c \mathbf{\hat{z}}& \left(4c\right) & \text{Zr} \\ \mathbf{B}_{6} & =& y_{3} \, \mathbf{a}_{1} - y_{3} \, \mathbf{a}_{2} + \frac34 \, \mathbf{a}_{3}& =& - y_{3} \, b \, \mathbf{\hat{y}} + \frac34 \, c \mathbf{\hat{z}}& \left(4c\right) & \text{Zr} \\ \end{array} \]