AFLOW Prototype: AB_hP6_144_a_a
Prototype | : | ZnTe |
AFLOW prototype label | : | AB_hP6_144_a_a |
Strukturbericht designation | : | None |
Pearson symbol | : | hP6 |
Space group number | : | 144 |
Space group symbol | : | $P3_{1}$ |
AFLOW prototype command | : | aflow --proto=AB_hP6_144_a_a --params=$a$,$c/a$,$x_{1}$,$y_{1}$,$z_{1}$,$x_{2}$,$y_{2}$,$z_{2}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = & x_{1} \, \mathbf{a}_{1} + y_{1} \, \mathbf{a}_{2} + z_{1} \, \mathbf{a}_{3} & = & \frac{1}{2}\left(x_{1}+y_{1}\right)a \, \mathbf{\hat{x}} + \frac{\sqrt{3}}{2}\left(-x_{1}+y_{1}\right)a \, \mathbf{\hat{y}} + z_{1}c \, \mathbf{\hat{z}} & \left(3a\right) & \text{Te} \\ \mathbf{B}_{2} & = & -y_{1} \, \mathbf{a}_{1} + \left(x_{1}-y_{1}\right) \, \mathbf{a}_{2} + \left(\frac{1}{3} +z_{1}\right) \, \mathbf{a}_{3} & = & \left(\frac{1}{2}x_{1}-y_{1}\right)a \, \mathbf{\hat{x}} + \frac{\sqrt{3}}{2}x_{1}a \, \mathbf{\hat{y}} + \left(\frac{1}{3} +z_{1}\right)c \, \mathbf{\hat{z}} & \left(3a\right) & \text{Te} \\ \mathbf{B}_{3} & = & \left(-x_{1}+y_{1}\right) \, \mathbf{a}_{1}-x_{1} \, \mathbf{a}_{2} + \left(\frac{2}{3} +z_{1}\right) \, \mathbf{a}_{3} & = & \left(-x_{1}+\frac{1}{2}y_{1}\right)a \, \mathbf{\hat{x}}-\frac{\sqrt{3}}{2}y_{1}a \, \mathbf{\hat{y}} + \left(\frac{2}{3} +z_{1}\right)c \, \mathbf{\hat{z}} & \left(3a\right) & \text{Te} \\ \mathbf{B}_{4} & = & x_{2} \, \mathbf{a}_{1} + y_{2} \, \mathbf{a}_{2} + z_{2} \, \mathbf{a}_{3} & = & \frac{1}{2}\left(x_{2}+y_{2}\right)a \, \mathbf{\hat{x}} + \frac{\sqrt{3}}{2}\left(-x_{2}+y_{2}\right)a \, \mathbf{\hat{y}} + z_{2}c \, \mathbf{\hat{z}} & \left(3a\right) & \text{Zn} \\ \mathbf{B}_{5} & = & -y_{2} \, \mathbf{a}_{1} + \left(x_{2}-y_{2}\right) \, \mathbf{a}_{2} + \left(\frac{1}{3} +z_{2}\right) \, \mathbf{a}_{3} & = & \left(\frac{1}{2}x_{2}-y_{2}\right)a \, \mathbf{\hat{x}} + \frac{\sqrt{3}}{2}x_{2}a \, \mathbf{\hat{y}} + \left(\frac{1}{3} +z_{2}\right)c \, \mathbf{\hat{z}} & \left(3a\right) & \text{Zn} \\ \mathbf{B}_{6} & = & \left(-x_{2}+y_{2}\right) \, \mathbf{a}_{1}-x_{2} \, \mathbf{a}_{2} + \left(\frac{2}{3} +z_{2}\right) \, \mathbf{a}_{3} & = & \left(-x_{2}+\frac{1}{2}y_{2}\right)a \, \mathbf{\hat{x}}-\frac{\sqrt{3}}{2}y_{2}a \, \mathbf{\hat{y}} + \left(\frac{2}{3} +z_{2}\right)c \, \mathbf{\hat{z}} & \left(3a\right) & \text{Zn} \\ \end{array} \]