Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: ABC_hR3_160_a_a_a-001

This structure originally had the label ABC_hR3_160_a_a_a. Calls to that address will be redirected here.

If you are using this page, please cite:
D. Hicks, M. J. Mehl, E. Gossett, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 2, Comp. Mat. Sci. 161, S1-S1011 (2019). (doi=10.1016/j.commatsci.2018.10.043)

Links to this page

https://aflow.org/p/V77F
or https://aflow.org/p/ABC_hR3_160_a_a_a-001
or PDF Version

Carbonyl Sulphide (COS, F0$_{2}$) Structure: ABC_hR3_160_a_a_a-001

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Prototype COS
AFLOW prototype label ABC_hR3_160_a_a_a-001
Strukturbericht designation $F0_{2}$
ICSD 33540
Pearson symbol hR3
Space group number 160
Space group symbol $R3m$
AFLOW prototype command aflow --proto=ABC_hR3_160_a_a_a-001
--params=$a, \allowbreak c/a, \allowbreak x_{1}, \allowbreak x_{2}, \allowbreak x_{3}$

  • (Overell, 1982) does not explicitly give the Wyckoff positions. We infer them from the C-O and C-S bond lengths. The experimental data was obtained at 90 K.

\[ \begin{array}{ccc} \mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{1}{3}c \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{\sqrt{3}}a \,\mathbf{\hat{y}}+\frac{1}{3}c \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&- \frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{1}{3}c \,\mathbf{\hat{z}} \end{array}\]

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $x_{1} \, \mathbf{a}_{1}+x_{1} \, \mathbf{a}_{2}+x_{1} \, \mathbf{a}_{3}$ = $c x_{1} \,\mathbf{\hat{z}}$ (1a) C I
$\mathbf{B_{2}}$ = $x_{2} \, \mathbf{a}_{1}+x_{2} \, \mathbf{a}_{2}+x_{2} \, \mathbf{a}_{3}$ = $c x_{2} \,\mathbf{\hat{z}}$ (1a) O I
$\mathbf{B_{3}}$ = $x_{3} \, \mathbf{a}_{1}+x_{3} \, \mathbf{a}_{2}+x_{3} \, \mathbf{a}_{3}$ = $c x_{3} \,\mathbf{\hat{z}}$ (1a) S I

References

  • J. S. W. Overell, G. S. Pawley, and B. M. Powell, Powder refinement of carbonyl sulphide, Acta Crystallogr. Sect. B 38, 1121–1123 (1982), doi:10.1107/S0567740882005111.

Prototype Generator

aflow --proto=ABC_hR3_160_a_a_a --params=$a,c/a,x_{1},x_{2},x_{3}$

Species:

Running:

Output: