AFLOW Prototype: A3B5_oC16_65_ah_bej
Prototype | : | Ga3Pt5 |
AFLOW prototype label | : | A3B5_oC16_65_ah_bej |
Strukturbericht designation | : | None |
Pearson symbol | : | oC16 |
Space group number | : | 65 |
Space group symbol | : | $\text{Cmmm}$ |
AFLOW prototype command | : | aflow --proto=A3B5_oC16_65_ah_bej --params=$a$,$b/a$,$c/a$,$x_{4}$,$y_{5}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B_1} & = & 0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = & 0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(2a\right) & \text{Ga I} \\ \mathbf{B}_{2} & =& \frac12 \, \mathbf{a}_{1} + \frac12 \, \mathbf{a}_{2}& =& \frac12 \, a \, \mathbf{\hat{x}}& \left(2b\right) & \text{Pt I} \\ \mathbf{B}_{3} & =& \frac12 \, \mathbf{a}_{2}& =& \frac14 \, a \, \mathbf{\hat{x}} + \frac14 \, b \, \mathbf{\hat{y}}& \left(4e\right) & \text{Pt II} \\ \mathbf{B}_{4} & =& \frac12 \, \mathbf{a}_{1}& =& \frac14 \, a \, \mathbf{\hat{x}} + \frac34 \, b \, \mathbf{\hat{y}}& \left(4e\right) & \text{Pt II} \\ \mathbf{B}_{5} & =& x_{4} \, \mathbf{a}_{1} + x_{4} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& x_{4} \, a \, \mathbf{\hat{x}} + \frac12 \, c \mathbf{\hat{z}}& \left(4h\right) & \text{Ga II} \\ \mathbf{B}_{6} & =& - x_{4} \, \mathbf{a}_{1} - x_{4} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& - x_{4} \, a \, \mathbf{\hat{x}} + \frac12 \, c \mathbf{\hat{z}}& \left(4h\right) & \text{Ga II} \\ \mathbf{B}_{7} & =& - y_{5} \, \mathbf{a}_{1} + y_{5} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& y_{5} \, b \, \mathbf{\hat{y}} + \frac12 \, c \mathbf{\hat{z}}& \left(4j\right) & \text{Pt III} \\ \mathbf{B}_{8} & =& y_{5} \, \mathbf{a}_{1} - y_{5} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& - y_{5} \, b \, \mathbf{\hat{y}} + \frac12 \, c \mathbf{\hat{z}}& \left(4j\right) & \text{Pt III} \\ \end{array} \]