AFLOW Prototype: AB_hR6_160_3a_3a
Prototype | : | CSi |
AFLOW prototype label | : | AB_hR6_160_3a_3a |
Strukturbericht designation | : | None |
Pearson symbol | : | hR6 |
Space group number | : | 160 |
Space group symbol | : | $\text{R3m}$ |
AFLOW prototype command | : | aflow --proto=AB_hR6_160_3a_3a [--hex] --params=$a$,$c/a$,$x_{1}$,$x_{2}$,$x_{3}$,$x_{4}$,$x_{5}$,$x_{6}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =& x_{1} \, \mathbf{a}_{1} + x_{1} \, \mathbf{a}_{2} + x_{1} \, \mathbf{a}_{3}& =& x_{1} \, c \, \mathbf{\hat{z}}& \left(1a\right) & \text{C I} \\ \mathbf{B}_{2} & =& x_{2} \, \mathbf{a}_{1} + x_{2} \, \mathbf{a}_{2} + x_{2} \, \mathbf{a}_{3}& =& x_{2} \, c \, \mathbf{\hat{z}}& \left(1a\right) & \text{C II} \\ \mathbf{B}_{3} & =& x_{3} \, \mathbf{a}_{1} + x_{3} \, \mathbf{a}_{2} + x_{3} \, \mathbf{a}_{3}& =& x_{3} \, c \, \mathbf{\hat{z}}& \left(1a\right) & \text{C III} \\ \mathbf{B}_{4} & =& x_{4} \, \mathbf{a}_{1} + x_{4} \, \mathbf{a}_{2} + x_{4} \, \mathbf{a}_{3}& =& x_{4} \, c \, \mathbf{\hat{z}}& \left(1a\right) & \text{Si I} \\ \mathbf{B}_{5} & =& x_{5} \, \mathbf{a}_{1} + x_{5} \, \mathbf{a}_{2} + x_{5} \, \mathbf{a}_{3}& =& x_{5} \, c \, \mathbf{\hat{z}}& \left(1a\right) & \text{Si II} \\ \mathbf{B}_{6} & =& x_{6} \, \mathbf{a}_{1} + x_{6} \, \mathbf{a}_{2} + x_{6} \, \mathbf{a}_{3}& =& x_{6} \, c \, \mathbf{\hat{z}}& \left(1a\right) & \text{Si III} \\ \end{array} \]