AFLOW Prototype: A8B_tI18_139_hi_a
Prototype | : | Pt8Ti |
AFLOW prototype label | : | A8B_tI18_139_hi_a |
Strukturbericht designation | : | None |
Pearson symbol | : | tI18 |
Space group number | : | 139 |
Space group symbol | : | $\text{I4/mmm}$ |
AFLOW prototype command | : | aflow --proto=A8B_tI18_139_hi_a --params=$a$,$c/a$,$x_{2}$,$x_{3}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =&0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & =&0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(2a\right) & \text{Ti} \\ \mathbf{B}_{2} & =&x_{2} \, \mathbf{a}_{1}+ x_{2} \, \mathbf{a}_{2}+ 2x_{2} \, \mathbf{a}_{3}& =&x_{2} \, a \, \mathbf{\hat{x}}+ x_{2} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Pt I} \\ \mathbf{B}_{3} & =&- x_{2} \, \mathbf{a}_{1}- x_{2} \, \mathbf{a}_{2}- 2x_{2} \, \mathbf{a}_{3}& =&- x_{2} \, a \, \mathbf{\hat{x}}- x_{2} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Pt I} \\ \mathbf{B}_{4} & =&x_{2} \, \mathbf{a}_{1}- x_{2} \, \mathbf{a}_{2}& =&- x_{2} \, a \, \mathbf{\hat{x}}+ x_{2} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Pt I} \\ \mathbf{B}_{5} & =&- x_{2} \, \mathbf{a}_{1}+ x_{2} \, \mathbf{a}_{2}& =&x_{2} \, a \, \mathbf{\hat{x}}- x_{2} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Pt I} \\ \mathbf{B}_{6} & =&x_{3} \, \mathbf{a}_{2}+ x_{3} \, \mathbf{a}_{3}& =&x_{3} \, a \, \mathbf{\hat{x}}& \left(8i\right) & \text{Pt II} \\ \mathbf{B}_{7} & =&- x_{3} \, \mathbf{a}_{2}- x_{3} \, \mathbf{a}_{3}& =&- x_{3} \, a \, \mathbf{\hat{x}}& \left(8i\right) & \text{Pt II} \\ \mathbf{B}_{8} & =&x_{3} \, \mathbf{a}_{1}+ x_{3} \, \mathbf{a}_{3}& =&x_{3} \, a \, \mathbf{\hat{y}}& \left(8i\right) & \text{Pt II} \\ \mathbf{B}_{9} & =&- x_{3} \, \mathbf{a}_{1}- x_{3} \, \mathbf{a}_{3}& =&- x_{3} \, a \, \mathbf{\hat{y}}& \left(8i\right) & \text{Pt II} \\ \end{array} \]