AFLOW Prototype: A21B_cI44_229_bdh_a
Prototype | : | AgI |
AFLOW prototype label | : | A21B_cI44_229_bdh_a |
Strukturbericht designation | : | $B23$ |
Pearson symbol | : | cI44 |
Space group number | : | 229 |
Space group symbol | : | $Im\bar{3}m$ |
AFLOW prototype command | : | aflow --proto=A21B_cI44_229_bdh_a --params=$a$,$y_{4}$ |
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{I} \\ \mathbf{B}_{2} & = & \frac{1}{2} \, \mathbf{a}_{2} + \frac{1}{2} \, \mathbf{a}_{3} & = & \frac{1}{2}a \, \mathbf{\hat{x}} & \left(6b\right) & \text{Ag I} \\ \mathbf{B}_{3} & = & \frac{1}{2} \, \mathbf{a}_{1} + \frac{1}{2} \, \mathbf{a}_{3} & = & \frac{1}{2}a \, \mathbf{\hat{y}} & \left(6b\right) & \text{Ag I} \\ \mathbf{B}_{4} & = & \frac{1}{2} \, \mathbf{a}_{1} + \frac{1}{2} \, \mathbf{a}_{2} & = & \frac{1}{2}a \, \mathbf{\hat{z}} & \left(6b\right) & \text{Ag I} \\ \mathbf{B}_{5} & = & \frac{1}{2} \, \mathbf{a}_{1} + \frac{3}{4} \, \mathbf{a}_{2} + \frac{1}{4} \, \mathbf{a}_{3} & = & \frac{1}{4}a \, \mathbf{\hat{x}} + \frac{1}{2}a \, \mathbf{\hat{z}} & \left(12d\right) & \text{Ag II} \\ \mathbf{B}_{6} & = & \frac{1}{2} \, \mathbf{a}_{1} + \frac{1}{4} \, \mathbf{a}_{2} + \frac{3}{4} \, \mathbf{a}_{3} & = & \frac{1}{4}a \, \mathbf{\hat{x}} + \frac{1}{2}a \, \mathbf{\hat{y}} & \left(12d\right) & \text{Ag II} \\ \mathbf{B}_{7} & = & \frac{1}{4} \, \mathbf{a}_{1} + \frac{1}{2} \, \mathbf{a}_{2} + \frac{3}{4} \, \mathbf{a}_{3} & = & \frac{1}{2}a \, \mathbf{\hat{x}} + \frac{1}{4}a \, \mathbf{\hat{y}} & \left(12d\right) & \text{Ag II} \\ \mathbf{B}_{8} & = & \frac{3}{4} \, \mathbf{a}_{1} + \frac{1}{2} \, \mathbf{a}_{2} + \frac{1}{4} \, \mathbf{a}_{3} & = & \frac{1}{4}a \, \mathbf{\hat{y}} + \frac{1}{2}a \, \mathbf{\hat{z}} & \left(12d\right) & \text{Ag II} \\ \mathbf{B}_{9} & = & \frac{3}{4} \, \mathbf{a}_{1} + \frac{1}{4} \, \mathbf{a}_{2} + \frac{1}{2} \, \mathbf{a}_{3} & = & \frac{1}{2}a \, \mathbf{\hat{y}} + \frac{1}{4}a \, \mathbf{\hat{z}} & \left(12d\right) & \text{Ag II} \\ \mathbf{B}_{10} & = & \frac{1}{4} \, \mathbf{a}_{1} + \frac{3}{4} \, \mathbf{a}_{2} + \frac{1}{2} \, \mathbf{a}_{3} & = & \frac{1}{2}a \, \mathbf{\hat{x}} + \frac{1}{4}a \, \mathbf{\hat{z}} & \left(12d\right) & \text{Ag II} \\ \mathbf{B}_{11} & = & 2y_{4} \, \mathbf{a}_{1} + y_{4} \, \mathbf{a}_{2} + y_{4} \, \mathbf{a}_{3} & = & y_{4}a \, \mathbf{\hat{y}} + y_{4}a \, \mathbf{\hat{z}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{12} & = & y_{4} \, \mathbf{a}_{2}-y_{4} \, \mathbf{a}_{3} & = & -y_{4}a \, \mathbf{\hat{y}} + y_{4}a \, \mathbf{\hat{z}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{13} & = & -y_{4} \, \mathbf{a}_{2} + y_{4} \, \mathbf{a}_{3} & = & y_{4}a \, \mathbf{\hat{y}}-y_{4}a \, \mathbf{\hat{z}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{14} & = & -2y_{4} \, \mathbf{a}_{1}-y_{4} \, \mathbf{a}_{2}-y_{4} \, \mathbf{a}_{3} & = & -y_{4}a \, \mathbf{\hat{y}}-y_{4}a \, \mathbf{\hat{z}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{15} & = & y_{4} \, \mathbf{a}_{1} + 2y_{4} \, \mathbf{a}_{2} + y_{4} \, \mathbf{a}_{3} & = & y_{4}a \, \mathbf{\hat{x}} + y_{4}a \, \mathbf{\hat{z}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{16} & = & -y_{4} \, \mathbf{a}_{1} + y_{4} \, \mathbf{a}_{3} & = & y_{4}a \, \mathbf{\hat{x}}-y_{4}a \, \mathbf{\hat{z}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{17} & = & y_{4} \, \mathbf{a}_{1}-y_{4} \, \mathbf{a}_{3} & = & -y_{4}a \, \mathbf{\hat{x}} + y_{4}a \, \mathbf{\hat{z}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{18} & = & -y_{4} \, \mathbf{a}_{1}-2y_{4} \, \mathbf{a}_{2}-y_{4} \, \mathbf{a}_{3} & = & -y_{4}a \, \mathbf{\hat{x}}-y_{4}a \, \mathbf{\hat{z}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{19} & = & y_{4} \, \mathbf{a}_{1} + y_{4} \, \mathbf{a}_{2} + 2y_{4} \, \mathbf{a}_{3} & = & y_{4}a \, \mathbf{\hat{x}} + y_{4}a \, \mathbf{\hat{y}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{20} & = & y_{4} \, \mathbf{a}_{1}-y_{4} \, \mathbf{a}_{2} & = & -y_{4}a \, \mathbf{\hat{x}} + y_{4}a \, \mathbf{\hat{y}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{21} & = & -y_{4} \, \mathbf{a}_{1} + y_{4} \, \mathbf{a}_{2} & = & y_{4}a \, \mathbf{\hat{x}}-y_{4}a \, \mathbf{\hat{y}} & \left(24h\right) & \text{Ag III} \\ \mathbf{B}_{22} & = & -y_{4} \, \mathbf{a}_{1}-y_{4} \, \mathbf{a}_{2}-2y_{4} \, \mathbf{a}_{3} & = & -y_{4}a \, \mathbf{\hat{x}}-y_{4}a \, \mathbf{\hat{y}} & \left(24h\right) & \text{Ag III} \\ \end{array} \]