AFLOW Prototype: AB2_cF12_225_a_c
Prototype | : | CaF2 |
AFLOW prototype label | : | AB2_cF12_225_a_c |
Strukturbericht designation | : | $C1$ |
Pearson symbol | : | cF12 |
Space group number | : | 225 |
Space group symbol | : | $\text{Fm}\bar{3}\text{m}$ |
AFLOW prototype command | : | aflow --proto=AB2_cF12_225_a_c --params=$a$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = &0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = &0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(4a\right) & \text{Ca} \\ \mathbf{B}_{2} & = &\frac14 \, \mathbf{a}_{1}+ \frac14 \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& = &\frac14 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}+ \frac14 \, a \, \mathbf{\hat{z}}& \left(8c\right) & \text{F} \\ \mathbf{B}_{3} & = &\frac34 \, \mathbf{a}_{1}+ \frac34 \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& = &\frac34 \, a \, \mathbf{\hat{x}}+ \frac34 \, a \, \mathbf{\hat{y}}+ \frac34 \, a \, \mathbf{\hat{z}}& \left(8c\right) & \text{F} \\ \end{array} \]