Bainite (Fe3C) Structure: AB3_hP8_182_c_g
| Prototype | : | Fe3C |
| AFLOW prototype label | : | AB3_hP8_182_c_g |
| Strukturbericht designation | : | None |
| Pearson symbol | : | hP8 |
| Space group number | : | 182 |
| Space group symbol | : | $\mbox{P6}_{3}\mbox{22}$ |
| AFLOW prototype command | : | aflow --proto=AB3_hP8_182_c_g --params=$a,c/a,x_{2}$ |
Other compounds with this structure
- $\epsilon$-Fe3N
- Strictly speaking, bainite is a microstructure. However, (Villars, 1991) Vol. II, 1894, refers to this crystal structure as upper bainite, and (Villars, 2014) refers to this as bainite.
Hexagonal primitive vectors:
\[
\begin{array}{ccc}
\mathbf{a}_1 & = & \frac12 \, a \, \mathbf{\hat{x}} - \frac{\sqrt{3}}{2} \, a \, \mathbf{\hat{y}} \\
\mathbf{a}_2 & = & \frac12 \, a \, \mathbf{\hat{x}} + \frac{\sqrt{3}}{2} \, a \, \mathbf{\hat{y}} \\
\mathbf{a}_3 & = & c \, \mathbf{\hat{z}}\\
\end{array}
\]
Basis vectors:
\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1}& = &\frac13 \, \mathbf{a}_{1}+ \frac23 \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}+ \frac1{2\sqrt3} \, a \, \mathbf{\hat{y}}+ \frac14 \, c \, \mathbf{\hat{z}}& \left(2c\right) & \mbox{C} \\ \mathbf{B}_{2}& = &\frac23 \, \mathbf{a}_{1}+ \frac13 \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}- \frac1{2\sqrt3} \, a \, \mathbf{\hat{y}}+ \frac34 \, c \, \mathbf{\hat{z}}& \left(2c\right) & \mbox{C} \\ \mathbf{B}_{3}& = &x_{2} \, \mathbf{a}_{1}& = &\frac12 \, x_{2} \, a \, \mathbf{\hat{x}}- \frac{\sqrt3}2 \, x_{2} \, a \mathbf{\hat{y}}& \left(6g\right) & \mbox{Fe} \\ \mathbf{B}_{4}& = &x_{2} \, \mathbf{a}_{2}& = &\frac12 \, x_{2} \, a \, \mathbf{\hat{x}}+ \frac{\sqrt3}2 \, x_{2} \, a \mathbf{\hat{y}}& \left(6g\right) & \mbox{Fe} \\ \mathbf{B}_{5}& = &- x_{2} \, \mathbf{a}_{1}- x_{2} \, \mathbf{a}_{2}& = &- x_{2} \, a \, \mathbf{\hat{x}}& \left(6g\right) & \mbox{Fe} \\ \mathbf{B}_{6}& = &- x_{2} \, \mathbf{a}_{1}+ \frac12 \, \mathbf{a}_{3}& = &- \frac12 \, x_{2} \, a \, \mathbf{\hat{x}}+ \frac{\sqrt3}2 \, x_{2} \, a \mathbf{\hat{y}}+ \frac12 \, c \, \mathbf{\hat{z}}& \left(6g\right) & \mbox{Fe} \\ \mathbf{B}_{7}& = &- x_{2} \, \mathbf{a}_{2}+ \frac12 \, \mathbf{a}_{3}& = &- \frac12 \, x_{2} \, a \, \mathbf{\hat{x}}- \frac{\sqrt3}2 \, x_{2} \, a \mathbf{\hat{y}}+ \frac12 \, c \, \mathbf{\hat{z}}& \left(6g\right) & \mbox{Fe} \\ \mathbf{B}_{8}& = &x_{2} \, \mathbf{a}_{1}+ x_{2} \, \mathbf{a}_{2}+ \frac12 \, \mathbf{a}_{3}& = &+ x_{2} \, a \, \mathbf{\hat{x}}+ \frac12 \, c \, \mathbf{\hat{z}}& \left(6g\right) & \mbox{Fe} \\ \end{array} \]References
- M. Reibold, A. A. Levin, D. C. Meyer, P. Paufler, and W. Kochmann, Microstructure of a Damascene sabre after annealing, Int. J. Mater. Res. 97, 1172–1182 (2006), doi:10.3139/146.101355.
- P. Villars and L. Calvert, Pearson's Handbook of Crystallographic Data for Intermetallic Phases (ASM International, Materials Park, OH, 1991), 2nd edn.
Found in
- P. Villars, Material Phases Data System ((MPDS), CH–6354 Vitznau, Switzerland, 2014). Accessed through the Springer Materials site.