AFLOW Prototype: AB_cI16_217_c_c
Prototype | : | AlN |
AFLOW prototype label | : | AB_cI16_217_c_c |
Strukturbericht designation | : | None |
Pearson symbol | : | cI16 |
Space group number | : | 217 |
Space group symbol | : | $I\bar{4}3m$ |
AFLOW prototype command | : | aflow --proto=AB_cI16_217_c_c --params=$a$,$x_{1}$,$x_{2}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = & 2x_{1} \, \mathbf{a}_{1} + 2x_{1} \, \mathbf{a}_{2} + 2x_{1} \, \mathbf{a}_{3} & = & x_{1}a \, \mathbf{\hat{x}} + x_{1}a \, \mathbf{\hat{y}} + x_{1}a \, \mathbf{\hat{z}} & \left(8c\right) & \text{Al} \\ \mathbf{B}_{2} & = & -2x_{1} \, \mathbf{a}_{3} & = & -x_{1}a \, \mathbf{\hat{x}}-x_{1}a \, \mathbf{\hat{y}} + x_{1}a \, \mathbf{\hat{z}} & \left(8c\right) & \text{Al} \\ \mathbf{B}_{3} & = & -2x_{1} \, \mathbf{a}_{2} & = & -x_{1}a \, \mathbf{\hat{x}} + x_{1}a \, \mathbf{\hat{y}}-x_{1}a \, \mathbf{\hat{z}} & \left(8c\right) & \text{Al} \\ \mathbf{B}_{4} & = & -2x_{1} \, \mathbf{a}_{1} & = & x_{1}a \, \mathbf{\hat{x}}-x_{1}a \, \mathbf{\hat{y}}-x_{1}a \, \mathbf{\hat{z}} & \left(8c\right) & \text{Al} \\ \mathbf{B}_{5} & = & 2x_{2} \, \mathbf{a}_{1} + 2x_{2} \, \mathbf{a}_{2} + 2x_{2} \, \mathbf{a}_{3} & = & x_{2}a \, \mathbf{\hat{x}} + x_{2}a \, \mathbf{\hat{y}} + x_{2}a \, \mathbf{\hat{z}} & \left(8c\right) & \text{N} \\ \mathbf{B}_{6} & = & -2x_{2} \, \mathbf{a}_{3} & = & -x_{2}a \, \mathbf{\hat{x}}-x_{2}a \, \mathbf{\hat{y}} + x_{2}a \, \mathbf{\hat{z}} & \left(8c\right) & \text{N} \\ \mathbf{B}_{7} & = & -2x_{2} \, \mathbf{a}_{2} & = & -x_{2}a \, \mathbf{\hat{x}} + x_{2}a \, \mathbf{\hat{y}}-x_{2}a \, \mathbf{\hat{z}} & \left(8c\right) & \text{N} \\ \mathbf{B}_{8} & = & -2x_{2} \, \mathbf{a}_{1} & = & x_{2}a \, \mathbf{\hat{x}}-x_{2}a \, \mathbf{\hat{y}}-x_{2}a \, \mathbf{\hat{z}} & \left(8c\right) & \text{N} \\ \end{array} \]