Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB_hP6_191_f_ad-001

This structure originally had the label AB_hP6_191_f_ad. Calls to that address will be redirected here.

If you are using this page, please cite:
M. J. Mehl, D. Hicks, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 1, Comp. Mat. Sci. 136, S1-S828 (2017). (doi=10.1016/j.commatsci.2017.01.017)

Links to this page

https://aflow.org/p/Z7YH
or https://aflow.org/p/AB_hP6_191_f_ad-001
or PDF Version

CoSn ($B35$) Structure: AB_hP6_191_f_ad-001

Picture of Structure; Click for Big Picture
Prototype CoSn
AFLOW prototype label AB_hP6_191_f_ad-001
Strukturbericht designation $B35$
ICSD 55564
Pearson symbol hP6
Space group number 191
Space group symbol $P6/mmm$
AFLOW prototype command aflow --proto=AB_hP6_191_f_ad-001
--params=$a, \allowbreak c/a$

Other compounds with this structure

FeGe,  PbRh,  NTa,  PtTl,  InNi


\[ \begin{array}{ccc} \mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{2}a \,\mathbf{\hat{y}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{2}a \,\mathbf{\hat{y}}\\\mathbf{a_{3}}&=&c \,\mathbf{\hat{z}} \end{array}\]

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $0$ = $0$ (1a) Sn I
$\mathbf{B_{2}}$ = $\frac{1}{3} \, \mathbf{a}_{1}+\frac{2}{3} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}$ (2d) Sn II
$\mathbf{B_{3}}$ = $\frac{2}{3} \, \mathbf{a}_{1}+\frac{1}{3} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}$ (2d) Sn II
$\mathbf{B_{4}}$ = $\frac{1}{2} \, \mathbf{a}_{1}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{4}a \,\mathbf{\hat{y}}$ (3f) Co I
$\mathbf{B_{5}}$ = $\frac{1}{2} \, \mathbf{a}_{2}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{4}a \,\mathbf{\hat{y}}$ (3f) Co I
$\mathbf{B_{6}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}$ (3f) Co I

References

  • A. 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.

Prototype Generator

aflow --proto=AB_hP6_191_f_ad --params=$a,c/a$

Species:

Running:

Output: