Zincblende (ZnS, B3) Structure: AB_cF8_216_c_a
| Prototype | : | ZnS |
| AFLOW prototype label | : | AB_cF8_216_c_a |
| Strukturbericht designation | : | $B3$ |
| Pearson symbol | : | cF8 |
| Space group number | : | 216 |
| Space group symbol | : | $\mbox{F}\bar{4}\mbox{3m}$ |
| AFLOW prototype command | : | aflow --proto=AB_cF8_216_c_a --params=$a$ |
- This is the cubic analog of the wurtzite lattice, i.e. the stacking of the ZnS dimers along the <111> direction is ABCABC … This is also a two-component analog of the diamond structure, without the inversion symmetry in the middle of the bond.
Face-centered Cubic primitive vectors:
\[
\begin{array}{ccc}
\mathbf{a}_1 & = & \frac12 \, a \, \mathbf{\hat{y}} + \frac12 \, a \, \mathbf{\hat{z}} \\
\mathbf{a}_2 & = & \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, a \, \mathbf{\hat{z}} \\
\mathbf{a}_3 & = & \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, a \, \mathbf{\hat{y}} \\
\end{array}
\]
Basis vectors:
\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1} & = &0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = &0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(4a\right) & \mbox{Zn} \\ \mathbf{B}_{2} & = &\frac14 \, \mathbf{a}_{1}+ \frac14 \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& = &\frac14 \, a \, \mathbf{\hat{x}}+ \frac14 \, a \, \mathbf{\hat{y}}+ \frac14 \, a \, \mathbf{\hat{z}}& \left(4c\right) & \mbox{S} \\ \end{array} \]References
- B. J. Skinner, Unit–Cell Edges of Natural and Synthetic Sphalerites, Am. Mineral. 46, 1399–1411 (1961).
Found in
- R. T. Downs and M. Hall–Wallace, The American Mineralogist Crystal Structure Database, Am. Mineral. 88, 247–250 (2003).