
AFLOW Prototype: A3B_cP8_223_c_a
Prototype | : | Cr3Si |
AFLOW prototype label | : | A3B_cP8_223_c_a |
Strukturbericht designation | : | $A15$ |
Pearson symbol | : | cP8 |
Space group number | : | 223 |
Space group symbol | : | $\text{Pm}\bar{3}\text{n}$ |
AFLOW prototype command | : | aflow --proto=A3B_cP8_223_c_a --params=$a$ |
AStrukturbericht designation comes from the fact that this is also the structure of $\beta$–W.
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = &0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = &0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(2a\right) & \text{Si} \\ \mathbf{B}_{2} & = &\frac12 \, \mathbf{a}_{1}+ \frac12 \, \mathbf{a}_{2}+ \frac12 \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}+ \frac12 \, a \, \mathbf{\hat{y}}+ \frac12 \, a \, \mathbf{\hat{z}}& \left(2a\right) & \text{Si} \\ \mathbf{B}_{3} & = &\frac14 \, \mathbf{a}_{1}+ \frac12 \, \mathbf{a}_{3}& = &\frac14 \, a \, \mathbf{\hat{x}}+ \frac12 \, a \, \mathbf{\hat{z}}& \left(6c\right) & \text{Cr} \\ \mathbf{B}_{4} & = &\frac34 \, \mathbf{a}_{1}+ \frac12 \, \mathbf{a}_{3}& = &\frac34 \, a \, \mathbf{\hat{x}}+ \frac12 \, a \, \mathbf{\hat{z}}& \left(6c\right) & \text{Cr} \\ \mathbf{B}_{5} & = &\frac12 \, \mathbf{a}_{1}+ \frac14 \, \mathbf{a}_{2}& = &\frac12 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}& \left(6c\right) & \text{Cr} \\ \mathbf{B}_{6} & = &\frac12 \, \mathbf{a}_{1}+ \frac34 \, \mathbf{a}_{2}& = &\frac12 \, a \, \mathbf{\hat{x}}+ \frac34 \, a \, \mathbf{\hat{y}}& \left(6c\right) & \text{Cr} \\ \mathbf{B}_{7} & = &\frac12 \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{y}}+ \frac14 \, a \, \mathbf{\hat{z}}& \left(6c\right) & \text{Cr} \\ \mathbf{B}_{8} & = &\frac12 \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{y}}+ \frac34 \, a \, \mathbf{\hat{z}}& \left(6c\right) & \text{Cr} \\ \end{array} \]