![Picture of Structure; Click for Big Picture](./PICS/A2B_cF24_227_c_a_composite_full.png)
AFLOW Prototype: A2B_cF24_227_c_a
Prototype | : | SiO2 |
AFLOW prototype label | : | A2B_cF24_227_c_a |
Strukturbericht designation | : | $C9$ |
Pearson symbol | : | cF24 |
Space group number | : | 227 |
Space group symbol | : | $\text{Fd}\bar{3}\text{m}$ |
AFLOW prototype command | : | aflow --proto=A2B_cF24_227_c_a --params=$a$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = &\frac18 \mathbf{a}_{1}+ \frac18 \mathbf{a}_{2}+ \frac18 \mathbf{a}_{3}& = &\frac18 \, a \, \mathbf{\hat{x}}+ \frac18 \, a \, \mathbf{\hat{y}}+ \frac18 \, a \, \mathbf{\hat{z}}& \left(8a\right) & \text{Si} \\ \mathbf{B}_{2} & = &\frac78 \mathbf{a}_{1}+ \frac78 \mathbf{a}_{2}+ \frac78 \mathbf{a}_{3}& = &\frac78 \, a \, \mathbf{\hat{x}}+ \frac78 \, a \, \mathbf{\hat{y}}+ \frac78 \, a \, \mathbf{\hat{z}}& \left(8a\right) & \text{Si} \\ \mathbf{B}_{3} & = &0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = &0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(16c\right) & \text{O} \\ \mathbf{B}_{4} & = &\frac12 \mathbf{a}_{3}& = &\frac14 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}& \left(16c\right) & \text{O} \\ \mathbf{B}_{5} & = &\frac12 \mathbf{a}_{2}& = &\frac14 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{O} \\ \mathbf{B}_{6} & = &\frac12 \mathbf{a}_{1}& = &\frac14 \, a \, \mathbf{\hat{y}}+ \frac14 \, a \, \mathbf{\hat{z}}& \left(16c\right) & \text{O} \\ \end{array} \]