AFLOW Prototype: A_cI16_206_c
Prototype | : | Si |
AFLOW prototype label | : | A_cI16_206_c |
Strukturbericht designation | : | None |
Pearson symbol | : | cI16 |
Space group number | : | 206 |
Space group symbol | : | $\text{Ia}\bar{3}$ |
AFLOW prototype command | : | aflow --proto=A_cI16_206_c --params=$a$,$x_{1}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = &2 x_{1} \, \mathbf{a}_{1}+ 2 x_{1} \, \mathbf{a}_{2}+ 2 x_{1} \, \mathbf{a}_{3}& = &x_{1} \, \, a \, \mathbf{\hat{x}}+ x_{1} \, \, a \, \mathbf{\hat{y}}+ x_{1} \, \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{Si} \\ \mathbf{B}_{2} & = &\frac12 \, \mathbf{a}_{1}+ \left(\frac12 - 2 x_{1}\right) \, \mathbf{a}_{3}& = &- x_{1} \, \, a \, \mathbf{\hat{x}}+ \left(\frac12 - x_{1}\right) \, \, a \, \mathbf{\hat{y}}+ x_{1} \, \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{Si} \\ \mathbf{B}_{3} & = &\left(\frac12 - 2 x_{1}\right) \, \mathbf{a}_{2}+ \frac12 \, \mathbf{a}_{3}& = &\left(\frac12 - x_{1}\right) \, \, a \, \mathbf{\hat{x}}+ x_{1} \, \, a \, \mathbf{\hat{y}}- x_{1} \, \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{Si} \\ \mathbf{B}_{4} & = &\left(\frac12 - 2 x_{1}\right) \, \mathbf{a}_{1}+ \frac12 \, \mathbf{a}_{2}& = &x_{1} \, \, a \, \mathbf{\hat{x}}- x_{1} \, \, a \, \mathbf{\hat{y}}+ \left(\frac12 - x_{1}\right) \, \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{Si} \\ \mathbf{B}_{5} & = &- 2 x_{1} \, \mathbf{a}_{1}- 2 x_{1} \, \mathbf{a}_{2}- 2 x_{1} \, \mathbf{a}_{3}& = &- x_{1} \, \, a \, \mathbf{\hat{x}}- x_{1} \, \, a \, \mathbf{\hat{y}}- x_{1} \, \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{Si} \\ \mathbf{B}_{6} & = &\frac12 \, \mathbf{a}_{1}+ \left(\frac12 + 2 x_{1}\right) \, \mathbf{a}_{3}& = &x_{1} \, \, a \, \mathbf{\hat{x}}+ \left(\frac12 + x_{1}\right) \, \, a \, \mathbf{\hat{y}}- x_{1} \, \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{Si} \\ \mathbf{B}_{7} & = &\left(\frac12 + 2 x_{1}\right) \, \mathbf{a}_{2}+ \frac12 \, \mathbf{a}_{3}& = &\left(\frac12 + x_{1}\right) \, \, a \, \mathbf{\hat{x}}- x_{1} \, \, a \, \mathbf{\hat{y}}+ x_{1} \, \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{Si} \\ \mathbf{B}_{8} & = &\left(\frac12 + 2 x_{1}\right) \, \mathbf{a}_{1}+ \frac12 \, \mathbf{a}_{2}& = &- x_{1} \, \, a \, \mathbf{\hat{x}}+ x_{1} \, \, a \, \mathbf{\hat{y}}+ \left(\frac12 + x_{1}\right) \, \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{Si} \\ \end{array} \]