AFLOW Prototype: ABC_hP3_187_a_d_f
Prototype | : | BaPtSb |
AFLOW prototype label | : | ABC_hP3_187_a_d_f |
Strukturbericht designation | : | None |
Pearson symbol | : | hP3 |
Space group number | : | 187 |
Space group symbol | : | $\text{P}\bar{6}\text{m2}$ |
AFLOW prototype command | : | aflow --proto=ABC_hP3_187_a_d_f --params=$a$,$c/a$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1}& = &0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = &0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(1a\right) & \text{Ba} \\ \mathbf{B}_{2}& = &\frac13 \, \mathbf{a}_{1}+ \frac23 \, \mathbf{a}_{2}+ \frac12 \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}+ \frac1{2\sqrt3} \, a \, \mathbf{\hat{y}}+ \frac12 \, c \, \mathbf{\hat{z}}& \left(1d\right) & \text{Pt} \\ \mathbf{B}_{3}& = &\frac23 \, \mathbf{a}_{1}+ \frac13 \, \mathbf{a}_{2}+ \frac12 \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}- \frac1{2\sqrt3} \, a \, \mathbf{\hat{y}}+ \frac12 \, c \, \mathbf{\hat{z}}& \left(1f\right) & \text{Sb} \\ \end{array} \]