Body–Centered Cubic (W, $A2$, bcc) Structure: A_cI2_229_a
| Prototype | : | W |
| AFLOW prototype label | : | A_cI2_229_a |
| Strukturbericht designation | : | $A2$ |
| Pearson symbol | : | cI2 |
| Space group number | : | 229 |
| Space group symbol | : | $Im\bar{3}m$ |
| AFLOW prototype command | : | aflow --proto=A_cI2_229_a --params=$a$ |
Other elements with this structure
- Li (at room temp.), Na, K, V, Cr, Fe, Rb, Nb, Mo, Cs, Ba, Eu, Ta
- Although more accurate measurements of the lattice constant of tungsten are available, (Davey, 1925) is chosen because of the unique experimental technique.
Body-centered Cubic primitive vectors:
\[
\begin{array}{ccc}
\mathbf{a}_1 & = & - \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, a \, \mathbf{\hat{y}} + \frac12 \, a \, \mathbf{\hat{z}} \\
\mathbf{a}_2 & = & ~ \frac12 \, a \, \mathbf{\hat{x}} - \frac12 \, a \, \mathbf{\hat{y}} + \frac12 \, a \, \mathbf{\hat{z}} \\
\mathbf{a}_3 & = & ~ \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, a \, \mathbf{\hat{y}} - \frac12 \, a \, \mathbf{\hat{z}} \\
\end{array}
\]
Basis vectors:
\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1} & = &0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = &0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(2a\right) & \mbox{W} \\ \end{array} \]References
- W. P. Davey, The Lattice Parameter and Density of Pure Tungsten, Phys. Rev. 26, 736–738 (1925), doi:10.1103/PhysRev.26.736.