AFLOW Prototype: A2B_tI24_141_2e_e
Prototype | : | Ga2Hf |
AFLOW prototype label | : | A2B_tI24_141_2e_e |
Strukturbericht designation | : | None |
Pearson symbol | : | tI24 |
Space group number | : | 141 |
Space group symbol | : | $\text{I4}_{1}\text{/amd}$ |
AFLOW prototype command | : | aflow --proto=A2B_tI24_141_2e_e --params=$a$,$c/a$,$z_{1}$,$z_{2}$,$z_{3}$ |
Basis vectors:
\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =&\left(\frac14 + z_{1}\right) \, \mathbf{a}_{1}+ z_{1} \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& =&\frac14 \, a \, \mathbf{\hat{y}}+ z_{1} \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Ga I} \\ \mathbf{B}_{2} & =&z_{1} \, \mathbf{a}_{1}+ \left(\frac14 + z_{1}\right) \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}+ \left(\frac34 + z_{1}\right) \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Ga I} \\ \mathbf{B}_{3} & =&\left(\frac34 - z_{1}\right) \, \mathbf{a}_{1}- z_{1} \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& =&\frac34 \, a \, \mathbf{\hat{y}}- z_{1} \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Ga I} \\ \mathbf{B}_{4} & =&- z_{1} \, \mathbf{a}_{1}+ \left(\frac34 - z_{1}\right) \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}+ \frac34 \, a \, \mathbf{\hat{y}}+ \left(\frac14 - z_{1}\right) \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Ga I} \\ \mathbf{B}_{5} & =&\left(\frac14 + z_{2}\right) \, \mathbf{a}_{1}+ z_{2} \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& =&\frac14 \, a \, \mathbf{\hat{y}}+ z_{2} \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Ga II} \\ \mathbf{B}_{6} & =&z_{2} \, \mathbf{a}_{1}+ \left(\frac14 + z_{2}\right) \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}+ \left(\frac34 + z_{2}\right) \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Ga II} \\ \mathbf{B}_{7} & =&\left(\frac34 - z_{2}\right) \, \mathbf{a}_{1}- z_{2} \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& =&\frac34 \, a \, \mathbf{\hat{y}}- z_{2} \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Ga II} \\ \mathbf{B}_{8} & =&- z_{2} \, \mathbf{a}_{1}+ \left(\frac34 - z_{2}\right) \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}+ \frac34 \, a \, \mathbf{\hat{y}}+ \left(\frac14 - z_{2}\right) \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Ga II} \\ \mathbf{B}_{9} & =&\left(\frac14 + z_{3}\right) \, \mathbf{a}_{1}+ z_{3} \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& =&\frac14 \, a \, \mathbf{\hat{y}}+ z_{3} \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Hf} \\ \mathbf{B}_{10} & =&z_{3} \, \mathbf{a}_{1}+ \left(\frac14 + z_{3}\right) \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}+ \left(\frac34 + z_{3}\right) \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Hf} \\ \mathbf{B}_{11} & =&\left(\frac34 - z_{3}\right) \, \mathbf{a}_{1}- z_{3} \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& =&\frac34 \, a \, \mathbf{\hat{y}}- z_{3} \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Hf} \\ \mathbf{B}_{12} & =&- z_{3} \, \mathbf{a}_{1}+ \left(\frac34 - z_{3}\right) \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}+ \frac34 \, a \, \mathbf{\hat{y}}+ \left(\frac14 - z_{3}\right) \, c \, \mathbf{\hat{z}}& \left(8e\right) & \text{Hf} \\ \end{array} \]