AFLOW Prototype: AB2C_cF16_225_a_c_b
Prototype | : | AlCu2Mn |
AFLOW prototype label | : | AB2C_cF16_225_a_c_b |
Strukturbericht designation | : | $L2_{1}$ |
Pearson symbol | : | cF16 |
Space group number | : | 225 |
Space group symbol | : | $\text{Fm}\bar{3}\text{m}$ |
AFLOW prototype command | : | aflow --proto=AB2C_cF16_225_a_c_b --params=$a$ |
half–Heuslerstructure.
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B_1} & = & 0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = & 0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(4a\right) & \text{Al} \\ \mathbf{B_2} & =& \frac12 \mathbf{a}_{1} + \frac12 \mathbf{a}_{2} + \frac12\mathbf{a}_{3}& =& \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, a \, \mathbf{\hat{y}} + \frac12 \, a \, \mathbf{\hat{z}}& \left(4b\right) & \text{Mn} \\ \mathbf{B_3} & =& \frac14 \mathbf{a}_{1} + \frac14 \mathbf{a}_{2} + \frac14\mathbf{a}_{3}& =& \frac14 \, a \, \mathbf{\hat{x}} + \frac14 \, a \, \mathbf{\hat{y}} + \frac14 \, a \, \mathbf{\hat{z}}& \left(8c\right) & \text{Cu} \\ \mathbf{B_4} & =& \frac34 \mathbf{a}_{1} + \frac34 \mathbf{a}_{2} + \frac34\mathbf{a}_{3}& =& \frac34 \, a \, \mathbf{\hat{x}} + \frac34 \, a \, \mathbf{\hat{y}} + \frac34 \, a \, \mathbf{\hat{z}}& \left(8c\right) & \text{Cu} \\ \end{array} \]