$\beta$–Sn (A5) Structure: A_tI4_141_a
| Prototype | : | $\beta$–Sn |
| AFLOW prototype label | : | A_tI4_141_a |
| Strukturbericht designation | : | $A5$ |
| Pearson symbol | : | tI4 |
| Space group number | : | 141 |
| Space group symbol | : | $\mbox{I4}_{1}\mbox{/amd}$ |
| AFLOW prototype command | : | aflow --proto=A_tI4_141_a --params=$a,c/a$ |
- When $c/a = \sqrt2$ this structure is equivalent to diamond (A4).
Body-centered Tetragonal primitive vectors:
\[
\begin{array}{ccc}
\mathbf{a}_1 & = & - \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, a \, \mathbf{\hat{y}} + \frac12 \, c \, \mathbf{\hat{z}}\\
\mathbf{a}_2 & = & ~ \frac12 \, a \, \mathbf{\hat{x}} - \frac12 \, a \, \mathbf{\hat{y}} + \frac12 \, c \, \mathbf{\hat{z}}\\
\mathbf{a}_3 & = & ~ \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, a \, \mathbf{\hat{y}} - \frac12 \, c \, \mathbf{\hat{z}}\\
\end{array}
\]
Basis vectors:
\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1} & =&\frac78 \, \mathbf{a}_{1}+ \frac18 \, \mathbf{a}_{2}+ \frac34 \, \mathbf{a}_{3}& =&\frac34 \, a \, \mathbf{\hat{y}}+ \frac18 \, c \, \mathbf{\hat{z}}& \left(4a\right) & \mbox{Sn} \\ \mathbf{B}_{2} & =&\frac18 \, \mathbf{a}_{1}+ \frac78 \, \mathbf{a}_{2}+ \frac14 \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}+ \frac34 \, a \, \mathbf{\hat{y}}+ \frac38 \, c \, \mathbf{\hat{z}}& \left(4a\right) & \mbox{Sn} \\ \end{array} \]References
- V. T. Deshpande and D. B. Sirdeshmukh, Thermal Expansion of Tetragonal Tin, Acta Cryst. 14, 355–356 (1961), doi:10.1107/S0365110X61001212.
Found in
- M. Winter, WebElements: the periodic table on the WWW (1993–2015). The University of Sheffield and WebElements Ltd.