AFLOW Prototype: A5B2_mC14_12_a2i_i
Prototype | : | Au5Mn2 |
AFLOW prototype label | : | A5B2_mC14_12_a2i_i |
Strukturbericht designation | : | None |
Pearson symbol | : | mC14 |
Space group number | : | 12 |
Space group symbol | : | $\text{C2/m}$ |
AFLOW prototype command | : | aflow --proto=A5B2_mC14_12_a2i_i --params=$a$,$b/a$,$c/a$,$\beta$,$x_{2}$,$z_{2}$,$x_{3}$,$z_{3}$,$x_{4}$,$z_{4}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = & 0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = & 0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(2a\right) & \text{Au I} \\ \mathbf{B}_{2} & =& x_{2} \, \mathbf{a}_{1} + x_{2} \, \mathbf{a}_{2} + z_{2} \, \mathbf{a}_{3}& =& \left(x_{2} \, a \, + \, z_{2} \, c \, \cos\beta\right) \, \mathbf{\hat{x}}+ z_{2} \, c \, \sin\beta \, \mathbf{\hat{z}}& \left(4i\right) & \text{Au II} \\ \mathbf{B}_{3} & =& - x_{2} \, \mathbf{a}_{1} - x_{2} \, \mathbf{a}_{2} - z_{2} \, \mathbf{a}_{3}& =& - \left(x_{2} \, a \, + \, z_{2} \, c \, \cos\beta\right) \, \mathbf{\hat{x}}- z_{2} \, c \, \sin\beta \, \mathbf{\hat{z}}& \left(4i\right) & \text{Au II} \\ \mathbf{B}_{4} & =& x_{3} \, \mathbf{a}_{1} + x_{3} \, \mathbf{a}_{2} + z_{3} \, \mathbf{a}_{3}& =& \left(x_{3} \, a \, + \, z_{3} \, c \, \cos\beta\right) \, \mathbf{\hat{x}}+ z_{3} \, c \, \sin\beta \, \mathbf{\hat{z}}& \left(4i\right) & \text{Au III} \\ \mathbf{B}_{5} & =& - x_{3} \, \mathbf{a}_{1} - x_{3} \, \mathbf{a}_{2} - z_{3} \, \mathbf{a}_{3}& =& - \left(x_{3} \, a \, + \, z_{3} \, c \, \cos\beta\right) \, \mathbf{\hat{x}}- z_{3} \, c \, \sin\beta \, \mathbf{\hat{z}}& \left(4i\right) & \text{Au III} \\ \mathbf{B}_{6} & =& x_{4} \, \mathbf{a}_{1} + x_{4} \, \mathbf{a}_{2} + z_{4} \, \mathbf{a}_{3}& =& \left(x_{4} \, a \, + \, z_{4} \, c \, \cos\beta\right) \, \mathbf{\hat{x}}+ z_{4} \, c \, \sin\beta \, \mathbf{\hat{z}}& \left(4i\right) & \text{Mn} \\ \mathbf{B}_{7} & =& - x_{4} \, \mathbf{a}_{1} - x_{4} \, \mathbf{a}_{2} - z_{4} \, \mathbf{a}_{3}& =& - \left(x_{4} \, a \, + \, z_{4} \, c \, \cos\beta\right) \, \mathbf{\hat{x}}- z_{4} \, c \, \sin\beta \, \mathbf{\hat{z}}& \left(4i\right) & \text{Mn} \\ \end{array} \]