$\alpha$–O Structure: A_mC4_12_i
| Prototype | : | $\alpha$–O |
| AFLOW prototype label | : | A_mC4_12_i |
| Strukturbericht designation | : | None |
| Pearson symbol | : | mC4 |
| Space group number | : | 12 |
| Space group symbol | : | $\mbox{C2/m}$ |
| AFLOW prototype command | : | aflow --proto=A_mC4_12_i --params=$a,b/a,c/a,\beta,x_{1},z_{1}$ |
Base-centered Monoclinic primitive vectors:
\[
\begin{array}{ccc}
\mathbf{a}_1 & = & \frac12 \, a \, \mathbf{\hat{x}} - \frac12 \, b \, \mathbf{\hat{y}} \\
\mathbf{a}_2 & = & \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, b \, \mathbf{\hat{y}} \\
\mathbf{a}_3 & = & c \cos\beta \, \mathbf{\hat{x}} + c \sin\beta \, \mathbf{\hat{z}}
\end{array}
\]
Basis vectors:
\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1} & =& x_{1} \, \mathbf{a}_{1} + x_{1} \, \mathbf{a}_{2} + z_{1} \, \mathbf{a}_{3}& =& \left(x_{1} \, a \, + \, z_{1} \, c \, \cos\beta\right) \, \mathbf{\hat{x}}+ z_{1} \, c \, \sin\beta \, \mathbf{\hat{z}}& \left(4i\right) & \mbox{O} \\ \mathbf{B}_{2} & =& - x_{1} \, \mathbf{a}_{1} - x_{1} \, \mathbf{a}_{2} - z_{1} \, \mathbf{a}_{3}& =& - \left(x_{1} \, a \, + \, z_{1} \, c \, \cos\beta\right) \, \mathbf{\hat{x}}- z_{1} \, c \, \sin\beta \, \mathbf{\hat{z}}& \left(4i\right) & \mbox{O} \\ \end{array} \]References
- R. J. Meier and R. B. Helmholdt, Neutron–diffraction study of alpha– and beta–oxygen, Phys. Rev. B 29, 1387–1393 (1984), doi:10.1103/PhysRevB.29.1387.