AFLOW Prototype: ABC_tP6_129_c_a_c
Prototype | : | PbFCl |
AFLOW prototype label | : | ABC_tP6_129_c_a_c |
Strukturbericht designation | : | $E0_{1}$ |
Pearson symbol | : | tP6 |
Space group number | : | 129 |
Space group symbol | : | $\text{P4/nmm}$ |
AFLOW prototype command | : | aflow --proto=ABC_tP6_129_c_a_c --params=$a$,$c/a$,$z_{2}$,$z_{3}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =&\frac34 \, \mathbf{a}_{1}+ \frac14 \, \mathbf{a}_{2}& =& \frac34 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}& \left(2a\right) & \text{F} \\ \mathbf{B}_{2} & =&\frac14 \, \mathbf{a}_{1}+ \frac34 \, \mathbf{a}_{2}& =&\frac14 \, a \, \mathbf{\hat{x}}+ \frac34 \, a \, \mathbf{\hat{y}}& \left(2a\right) & \text{F} \\ \mathbf{B}_{3} & =&\frac14 \, \mathbf{a}_{1}+ \frac14 \, \mathbf{a}_{2}+ z_{2} \, \mathbf{a}_{3}& =&\frac14 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}+ z_{2} \, c \, \mathbf{\hat{z}}& \left(2c\right) & \text{Cl} \\ \mathbf{B}_{4} & =&\frac34 \, \mathbf{a}_{1}+ \frac34 \, \mathbf{a}_{2}- z_{2} \, \mathbf{a}_{3}& =&\frac34 \, a \, \mathbf{\hat{x}}+ \frac34 \, a \, \mathbf{\hat{y}}- z_{2} \, c \, \mathbf{\hat{z}}& \left(2c\right) & \text{Cl} \\ \mathbf{B}_{5} & =&\frac14 \, \mathbf{a}_{1}+ \frac14 \, \mathbf{a}_{2}+ z_{3} \, \mathbf{a}_{3}& =&\frac14 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}+ z_{3} \, c \, \mathbf{\hat{z}}& \left(2c\right) & \text{Pb} \\ \mathbf{B}_{6} & =&\frac34 \, \mathbf{a}_{1}+ \frac34 \, \mathbf{a}_{2}- z_{3} \, \mathbf{a}_{3}& =&\frac34 \, a \, \mathbf{\hat{x}}+ \frac34 \, a \, \mathbf{\hat{y}}- z_{3} \, c \, \mathbf{\hat{z}}& \left(2c\right) & \text{Pb} \\ \end{array} \]