AFLOW Prototype: A_hR3_166_ac
Prototype | : | $\alpha$–Sm |
AFLOW prototype label | : | A_hR3_166_ac |
Strukturbericht designation | : | $C19$ |
Pearson symbol | : | hR3 |
Space group number | : | 166 |
Space group symbol | : | $\text{R}\bar{3}\text{m}$ |
AFLOW prototype command | : | aflow --proto=A_hR3_166_ac [--hex] --params=$a$,$c/a$,$x_{2}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =&0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & =&0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(1a\right) & \text{Sm I} \\ \mathbf{B}_{2} & =&x_{2} \, \mathbf{a}_{1}+ x_{2} \, \mathbf{a}_{2}+ x_{2} \, \mathbf{a}_{3}& =&x_{2} \, c \, \mathbf{\hat{z}}& \left(2c\right) & \text{Sm II} \\ \mathbf{B}_{3} & =&- x_{2} \, \mathbf{a}_{1}- x_{2} \, \mathbf{a}_{2}- x_{2} \, \mathbf{a}_{3}& =&- x_{2} \, c \, \mathbf{\hat{z}}& \left(2c\right) & \text{Sm II} \\ \end{array} \]