AFLOW Prototype: A4B3_oI14_71_gh_cg
Prototype | : | Ta3B4 |
AFLOW prototype label | : | A4B3_oI14_71_gh_cg |
Strukturbericht designation | : | $D7_{b}$ |
Pearson symbol | : | oI14 |
Space group number | : | 71 |
Space group symbol | : | $Immm$ |
AFLOW prototype command | : | aflow --proto=A4B3_oI14_71_gh_cg --params=$a$,$b/a$,$c/a$,$y_{2}$,$y_{3}$,$y_{4}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = & \frac{1}{2} \, \mathbf{a}_{1} + \frac{1}{2} \, \mathbf{a}_{2} & = & \frac{1}{2}c \, \mathbf{\hat{z}} & \left(2c\right) & \text{Ta I} \\ \mathbf{B}_{2} & = & y_{2} \, \mathbf{a}_{1} + y_{2} \, \mathbf{a}_{3} & = & y_{2}b \, \mathbf{\hat{y}} & \left(4g\right) & \text{B I} \\ \mathbf{B}_{3} & = & -y_{2} \, \mathbf{a}_{1}-y_{2} \, \mathbf{a}_{3} & = & -y_{2}b \, \mathbf{\hat{y}} & \left(4g\right) & \text{B I} \\ \mathbf{B}_{4} & = & y_{3} \, \mathbf{a}_{1} + y_{3} \, \mathbf{a}_{3} & = & y_{3}b \, \mathbf{\hat{y}} & \left(4g\right) & \text{Ta II} \\ \mathbf{B}_{5} & = & -y_{3} \, \mathbf{a}_{1}-y_{3} \, \mathbf{a}_{3} & = & -y_{3}b \, \mathbf{\hat{y}} & \left(4g\right) & \text{Ta II} \\ \mathbf{B}_{6} & = & \left(\frac{1}{2} +y_{4}\right) \, \mathbf{a}_{1} + \frac{1}{2} \, \mathbf{a}_{2} + y_{4} \, \mathbf{a}_{3} & = & y_{4}b \, \mathbf{\hat{y}} + \frac{1}{2}c \, \mathbf{\hat{z}} & \left(4h\right) & \text{B II} \\ \mathbf{B}_{7} & = & \left(\frac{1}{2} - y_{4}\right) \, \mathbf{a}_{1} + \frac{1}{2} \, \mathbf{a}_{2}-y_{4} \, \mathbf{a}_{3} & = & -y_{4}b \, \mathbf{\hat{y}} + \frac{1}{2}c \, \mathbf{\hat{z}} & \left(4h\right) & \text{B II} \\ \end{array} \]