AFLOW Prototype: A4B5_tI18_87_h_ah
Prototype | : | Ti5Te4 |
AFLOW prototype label | : | A4B5_tI18_87_h_ah |
Strukturbericht designation | : | None |
Pearson symbol | : | tI18 |
Space group number | : | 87 |
Space group symbol | : | $\text{I4/m}$ |
AFLOW prototype command | : | aflow --proto=A4B5_tI18_87_h_ah --params=$a$,$c/a$,$x_{2}$,$y_{2}$,$x_{3}$,$y_{3}$ |
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 I} \\ \mathbf{B}_{2} & = &y_{2} \, \mathbf{a}_{1}+ x_{2} \, \mathbf{a}_{2}+ \left(x_{2} + y_{2}\right) \, \mathbf{a}_{3}& = &x_{2} \, a \, \mathbf{\hat{x}}+ y_{2} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Te} \\ \mathbf{B}_{3} & = &- y_{2} \, \mathbf{a}_{1}- x_{2} \, \mathbf{a}_{2}- \left(x_{2} + y_{2}\right) \, \mathbf{a}_{3}& = &- x_{2} \, a \, \mathbf{\hat{x}}- y_{2} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Te} \\ \mathbf{B}_{4} & = &x_{2} \, \mathbf{a}_{1}- y_{2} \, \mathbf{a}_{2}+ \left(x_{2} - y_{2}\right) \, \mathbf{a}_{3}& = &- y_{2} \, a \, \mathbf{\hat{x}}+ x_{2} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Te} \\ \mathbf{B}_{5} & = &- x_{2} \, \mathbf{a}_{1}+ y_{2} \, \mathbf{a}_{2}+ \left(y_{2} - x_{2}\right) \, \mathbf{a}_{3}& = &y_{2} \, a \, \mathbf{\hat{x}}- x_{2} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Te} \\ \mathbf{B}_{6} & = &y_{3} \, \mathbf{a}_{1}+ x_{3} \, \mathbf{a}_{2}+ \left(x_{3} + y_{3}\right) \, \mathbf{a}_{3}& = &x_{3} \, a \, \mathbf{\hat{x}}+ y_{3} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Ti II} \\ \mathbf{B}_{7} & = &- y_{3} \, \mathbf{a}_{1}- x_{3} \, \mathbf{a}_{2}- \left(x_{3} + y_{3}\right) \, \mathbf{a}_{3}& = &- x_{3} \, a \, \mathbf{\hat{x}}- y_{3} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Ti II} \\ \mathbf{B}_{8} & = &x_{3} \, \mathbf{a}_{1}- y_{3} \, \mathbf{a}_{2}+ \left(x_{3} - y_{3}\right) \, \mathbf{a}_{3}& = &- y_{3} \, a \, \mathbf{\hat{x}}+ x_{3} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Ti II} \\ \mathbf{B}_{9} & = &- x_{3} \, \mathbf{a}_{1}+ y_{3} \, \mathbf{a}_{2}+ \left(y_{3} - x_{3}\right) \, \mathbf{a}_{3}& = &y_{3} \, a \, \mathbf{\hat{x}}- x_{3} \, a \, \mathbf{\hat{y}}& \left(8h\right) & \text{Ti II} \\ \end{array} \]