CoSn ($B35$) Structure: AB_hP6_191_f_ad

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Prototype : CoSn
AFLOW prototype label : AB_hP6_191_f_ad
Strukturbericht designation : $B35$
Pearson symbol : hP6
Space group number : 191
Space group symbol : $\mbox{P6/mmm}$
AFLOW prototype command : aflow --proto=AB_hP6_191_f_ad
--params=
$a$,$c/a$


Other compounds with this structure

  • FeGe, PbRh, NTa, PtTl, InNi, OTi2

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:

\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1}& = &0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = &0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(1a\right) & \mbox{Sn I} \\ \mathbf{B}_{2} & =&\frac13 \mathbf{a}_{1}+ \frac23 \mathbf{a}_{2}+ \frac12 \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}+ \frac1{2\sqrt{3}} \, a \, \mathbf{\hat{y}}+ \frac12 \, c \, \mathbf{\hat{z}}& \left(2d\right) & \mbox{Sn II} \\ \mathbf{B}_{3} & =&\frac23 \mathbf{a}_{1}+ \frac13 \mathbf{a}_{2}+ \frac12 \mathbf{a}_{3}& = &\frac12 \, a \, \mathbf{\hat{x}}- \frac1{2\sqrt{3}} \, a \, \mathbf{\hat{y}}+ \frac12 \, c \, \mathbf{\hat{z}}& \left(2d\right) & \mbox{Sn II} \\ \mathbf{B}_{4}& = &\frac12 \, \mathbf{a}_{1}& = &\frac14 \, a \, \mathbf{\hat{x}}- \frac{\sqrt3}{4} \, a \, \mathbf{\hat{y}}& \left(3f\right) & \mbox{Co} \\ \mathbf{B}_{5}& = &\frac12 \, \mathbf{a}_{2}& = &\frac14 \, a \, \mathbf{\hat{x}}+ \frac{\sqrt3}{4} \, a \, \mathbf{\hat{y}}& \left(3f\right) & \mbox{Co} \\ \mathbf{B}_{6}& = &\frac12 \, \mathbf{a}_{1}+ \frac12 \, \mathbf{a}_{2}& = &\frac12 \, a \, \mathbf{\hat{x}}& \left(3f\right) & \mbox{Co} \\ \end{array} \]

References

  • A. K. Larsson, M. Haeberlein, S. Lidin, and U. Schwarz, Single crystal structure refinement and high–pressure properties of CoSn, J. Alloys Compd. 240, 79–84 (1996), doi:10.1016/0925-8388(95)02189-2.

Geometry files


Prototype Generator

aflow --proto=AB_hP6_191_f_ad --params=

Species:

Running:

Output: