Tungsten Carbide (Bh) Structure: AB_hP2_187_d_a
| Prototype | : | WC |
| AFLOW prototype label | : | AB_hP2_187_d_a |
| Strukturbericht designation | : | $B_{h}$ |
| Pearson symbol | : | hP2 |
| Space group number | : | 187 |
| Space group symbol | : | $\mbox{P}\bar{6}\mbox{m2}$ |
| AFLOW prototype command | : | aflow --proto=AB_hP2_187_d_a --params=$a,c/a$ |
Other compounds with this structure
- AlSn, BIr, MoC, MoP, NbS, WN, TaS, TiS, TeZr
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:
\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1}& = &0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = &0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(1a\right) & \mbox{W} \\ \mathbf{B}_{2}& = &\frac13 \, \mathbf{a}_{1}+ \frac23 \, \mathbf{a}_{2}+ \frac12 \, \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}+ \frac1{2\sqrt3} \, a \, \mathbf{\hat{y}}+ \frac12 \, c \, \mathbf{\hat{z}}& \left(1d\right) & \mbox{C} \\ \end{array} \]References
- J. Leciejewicz, A note on the structure of tungsten carbide, Acta Cryst. 14, 200 (1961), doi:10.1107/S0365110X6100067X.
Found in
- W. B. Pearson, The Crystal Chemistry and Physics of Metals and Alloys (Wiley– Interscience, New York, London, Sydney, Toronto, 1972)., pp. 479.