AFLOW Prototype: AB_hP8_186_ab_ab
Prototype | : | SiC |
AFLOW prototype label | : | AB_hP8_186_ab_ab |
Strukturbericht designation | : | $B5$ |
Pearson symbol | : | hP8 |
Space group number | : | 186 |
Space group symbol | : | $\text{P6}_{3}\text{mc}$ |
AFLOW prototype command | : | aflow --proto=AB_hP8_186_ab_ab --params=$a$,$c/a$,$z_{1}$,$z_{2}$,$z_{3}$,$z_{4}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1}& = &z_{1} \, \mathbf{a}_{3}& = &z_{1} \, c \, \mathbf{\hat{z}}& \left(2a\right) & \text{C I} \\ \mathbf{B}_{2}& = &\left(\frac12 + z_{1}\right) \, \mathbf{a}_{3}& = &\left(\frac12 + z_{1}\right) \, c \, \mathbf{\hat{z}}& \left(2a\right) & \text{C I} \\ \mathbf{B}_{3}& = &z_{2} \, \mathbf{a}_{3}& = &z_{2} \, c \, \mathbf{\hat{z}}& \left(2a\right) & \text{Si I} \\ \mathbf{B}_{4}& = &\left(\frac12 + z_{2}\right) \, \mathbf{a}_{3}& = &\left(\frac12 + z_{2}\right) \, c \, \mathbf{\hat{z}}& \left(2a\right) & \text{Si I} \\ \mathbf{B}_{5}& = &\frac13 \, \mathbf{a}_{1}+ \frac23 \, \mathbf{a}_{2}+ z_{3} \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}+ \frac1{2\sqrt3} \, a \, \mathbf{\hat{y}}+ z_{3} \, c \, \mathbf{\hat{z}}& \left(2b\right) & \text{C II} \\ \mathbf{B}_{6}& = &\frac23 \, \mathbf{a}_{1}+ \frac13 \, \mathbf{a}_{2}+ \left(\frac12 + z_{3}\right) \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}- \frac1{2\sqrt3} \, a \, \mathbf{\hat{y}}+ \left(\frac12 + z_{3}\right) \, c \, \mathbf{\hat{z}}& \left(2b\right) & \text{C II} \\ \mathbf{B}_{7}& = &\frac13 \, \mathbf{a}_{1}+ \frac23 \, \mathbf{a}_{2}+ z_{4} \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}+ \frac1{2\sqrt3} \, a \, \mathbf{\hat{y}}+ z_{4} \, c \, \mathbf{\hat{z}}& \left(2b\right) & \text{Si II} \\ \mathbf{B}_{8}& = &\frac23 \, \mathbf{a}_{1}+ \frac13 \, \mathbf{a}_{2}+ \left(\frac12 + z_{4}\right) \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}- \frac1{2\sqrt3} \, a \, \mathbf{\hat{y}}+ \left(\frac12 + z_{4}\right) \, c \, \mathbf{\hat{z}}& \left(2b\right) & \text{Si II} \\ \end{array} \]