AFLOW Prototype: AB_oP4_51_e_f
Prototype | : | $\beta'$–AuCd |
AFLOW prototype label | : | AB_oP4_51_e_f |
Strukturbericht designation | : | $B19$ |
Pearson symbol | : | oP4 |
Space group number | : | 51 |
Space group symbol | : | $\text{Pmma}$ |
AFLOW prototype command | : | aflow --proto=AB_oP4_51_e_f --params=$a$,$b/a$,$c/a$,$z_{1}$,$z_{2}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =& \frac14 \, \mathbf{a}_{1} + z_{1} \, \mathbf{a}_{3}& =& \frac14 \, a \, \mathbf{\hat{x}} + z_{1} \, c \, \mathbf{\hat{z}}& \left(2e\right) & \text{Au} \\ \mathbf{B}_{2} & =& \frac34 \, \mathbf{a}_{1} - z_{1} \, \mathbf{a}_{3}& =& \frac34 \, a \, \mathbf{\hat{x}} - z_{1} \, c \, \mathbf{\hat{z}}& \left(2e\right) & \text{Au} \\ \mathbf{B}_{3} & =& \frac14 \, \mathbf{a}_{1} + \frac12 \, \mathbf{a}_{2} + z_{2} \, \mathbf{a}_{3}& =& \frac14 \, a \, \mathbf{\hat{x}} + \frac12 \, b \, \mathbf{\hat{y}} + z_{2} \, c \, \mathbf{\hat{z}}& \left(2f\right) & \text{Cd} \\ \mathbf{B}_{4} & =& \frac34 \, \mathbf{a}_{1} + \frac12 \, \mathbf{a}_{2} - z_{2} \, \mathbf{a}_{3}& =& \frac34 \, a \, \mathbf{\hat{x}} + \frac12 \, b \, \mathbf{\hat{y}} - z_{2} \, c \, \mathbf{\hat{z}}& \left(2f\right) & \text{Cd} \\ \end{array} \]