AFLOW Prototype: AB5C_tP7_123_b_ci_a
Prototype | : | HoCoGa5 |
AFLOW prototype label | : | AB5C_tP7_123_b_ci_a |
Strukturbericht designation | : | None |
Pearson symbol | : | tP7 |
Space group number | : | 123 |
Space group symbol | : | $\text{P4/mmm}$ |
AFLOW prototype command | : | aflow --proto=AB5C_tP7_123_b_ci_a --params=$a$,$c/a$,$z_{4}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =&0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & =&0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(1a\right) & \text{Ho} \\ \mathbf{B}_{2} & =&\frac12 \, \mathbf{a}_{3}& =&\frac12 \, c \, \mathbf{\hat{z}}& \left(1b\right) & \text{Co} \\ \mathbf{B}_{3} & =&\frac12 \, \mathbf{a}_{1}+ \frac12 \, \mathbf{a}_{2}& =&\frac12 \, a \, \mathbf{\hat{x}}+ \frac12 \, a \, \mathbf{\hat{y}}& \left(1c\right) & \text{Ga I} \\ \mathbf{B}_{4} & =&\frac12 \, \mathbf{a}_{2}+ z_{4} \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{y}}+ z_{4} \, c \, \mathbf{\hat{z}}& \left(4i\right) & \text{Ga II} \\ \mathbf{B}_{5} & =&\frac12 \, \mathbf{a}_{1}+ z_{4} \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}+ z_{4} \, c \, \mathbf{\hat{z}}& \left(4i\right) & \text{Ga II} \\ \mathbf{B}_{6} & =&\frac12 \, \mathbf{a}_{2}- z_{4} \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{y}}- z_{4} \, c \, \mathbf{\hat{z}}& \left(4i\right) & \text{Ga II} \\ \mathbf{B}_{7} & =&\frac12 \, \mathbf{a}_{1}- z_{4} \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}- z_{4} \, c \, \mathbf{\hat{z}}& \left(4i\right) & \text{Ga II} \\ \end{array} \]