AFLOW Prototype: A_hP6_194_h
Prototype | : | C |
AFLOW prototype label | : | A_hP6_194_h |
Strukturbericht designation | : | None |
Pearson symbol | : | hP6 |
Space group number | : | 194 |
Space group symbol | : | $\text{P6}_{3}\text{/mmc}$ |
AFLOW prototype command | : | aflow --proto=A_hP6_194_h --params=$a$,$c/a$,$x_{1}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1}& = &x_{1} \, \mathbf{a}_{1}+ 2 \, x_{1} \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& = &\frac32 \, x_{1} \, a \, \mathbf{\hat{x}}+ \frac{\sqrt3}{2} \, x_{1} \, a \, \mathbf{\hat{y}}+ \frac14 \, c \, \mathbf{\hat{z}}& \left(6h\right) & \text{C} \\ \mathbf{B}_{2}& = &- 2 \, x_{1} \, \mathbf{a}_{1}- x_{1} \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& = &- \frac32 \, x_{1} \, a \, \mathbf{\hat{x}}+ \frac{\sqrt3}{2} \, x_{1} \, a \, \mathbf{\hat{y}}+ \frac14 \, c \, \mathbf{\hat{z}}& \left(6h\right) & \text{C} \\ \mathbf{B}_{3}& = &x_{1} \, \mathbf{a}_{1}- x_{1} \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& = &- \sqrt3 \, x_{1} \, a \, \mathbf{\hat{y}}+ \frac14 \, c \, \mathbf{\hat{z}}& \left(6h\right) & \text{C} \\ \mathbf{B}_{4}& = &- x_{1} \, \mathbf{a}_{1}- 2 \, x_{1} \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& = &- \frac32 \, x_{1} \, a \, \mathbf{\hat{x}}- \frac{\sqrt3}{2} \, x_{1} \, a \, \mathbf{\hat{y}}+ \frac34 \, c \, \mathbf{\hat{z}}& \left(6h\right) & \text{C} \\ \mathbf{B}_{5}& = &2 \, x_{1} \, \mathbf{a}_{1}+ x_{1} \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& = &\frac32 \, x_{1} \, a \, \mathbf{\hat{x}}- \frac{\sqrt3}{2} \, x_{1} \, a \, \mathbf{\hat{y}}+ \frac34 \, c \, \mathbf{\hat{z}}& \left(6h\right) & \text{C} \\ \mathbf{B}_{6}& = &- x_{1} \, \mathbf{a}_{1}+ x_{1} \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& = &+ \sqrt3 \, x_{1} \, a \, \mathbf{\hat{y}}+ \frac34 \, c \, \mathbf{\hat{z}}& \left(6h\right) & \text{C} \\ \end{array} \]