Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB_hP12_194_cf_de-001

This structure originally had the label AB_hP12_194_df_ce. 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/QP0Q
or https://aflow.org/p/AB_hP12_194_cf_de-001
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Covellite (CuS, $B18$) Structure: AB_hP12_194_cf_de-001

Picture of Structure; Click for Big Picture
Prototype CuS
AFLOW prototype label AB_hP12_194_cf_de-001
Strukturbericht designation $B18$
Mineral name covellite
ICSD 41975
Pearson symbol hP12
Space group number 194
Space group symbol $P6_3/mmc$
AFLOW prototype command aflow --proto=AB_hP12_194_cf_de-001
--params=$a, \allowbreak c/a, \allowbreak z_{3}, \allowbreak z_{4}$

Other compounds with this structure

CuSe


  • We did not find an ICSD entry for (Ohmasa, 1977), so we one from (Kalbskopf, 1975) which is quoated our source paper.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $\frac{1}{3} \, \mathbf{a}_{1}+\frac{2}{3} \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{1}{4}c \,\mathbf{\hat{z}}$ (2c) Cu I
$\mathbf{B_{2}}$ = $\frac{2}{3} \, \mathbf{a}_{1}+\frac{1}{3} \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{3}{4}c \,\mathbf{\hat{z}}$ (2c) Cu I
$\mathbf{B_{3}}$ = $\frac{1}{3} \, \mathbf{a}_{1}+\frac{2}{3} \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{3}{4}c \,\mathbf{\hat{z}}$ (2d) S I
$\mathbf{B_{4}}$ = $\frac{2}{3} \, \mathbf{a}_{1}+\frac{1}{3} \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+\frac{1}{4}c \,\mathbf{\hat{z}}$ (2d) S I
$\mathbf{B_{5}}$ = $z_{3} \, \mathbf{a}_{3}$ = $c z_{3} \,\mathbf{\hat{z}}$ (4e) S II
$\mathbf{B_{6}}$ = $\left(z_{3} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ = $c \left(z_{3} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ (4e) S II
$\mathbf{B_{7}}$ = $- z_{3} \, \mathbf{a}_{3}$ = $- c z_{3} \,\mathbf{\hat{z}}$ (4e) S II
$\mathbf{B_{8}}$ = $- \left(z_{3} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ = $- c \left(z_{3} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ (4e) S II
$\mathbf{B_{9}}$ = $\frac{1}{3} \, \mathbf{a}_{1}+\frac{2}{3} \, \mathbf{a}_{2}+z_{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+c z_{4} \,\mathbf{\hat{z}}$ (4f) Cu II
$\mathbf{B_{10}}$ = $\frac{2}{3} \, \mathbf{a}_{1}+\frac{1}{3} \, \mathbf{a}_{2}+\left(z_{4} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}+c \left(z_{4} + \frac{1}{2}\right) \,\mathbf{\hat{z}}$ (4f) Cu II
$\mathbf{B_{11}}$ = $\frac{2}{3} \, \mathbf{a}_{1}+\frac{1}{3} \, \mathbf{a}_{2}- z_{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}- c z_{4} \,\mathbf{\hat{z}}$ (4f) Cu II
$\mathbf{B_{12}}$ = $\frac{1}{3} \, \mathbf{a}_{1}+\frac{2}{3} \, \mathbf{a}_{2}- \left(z_{4} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{\sqrt{3}}{6}a \,\mathbf{\hat{y}}- c \left(z_{4} - \frac{1}{2}\right) \,\mathbf{\hat{z}}$ (4f) Cu II

References

  • M. Ohmasa, M. Suzuki, and Y. Takéuchi, A refinement of the crystal structure of covellite, CuS, Mineralogical Journal 8, 311–319 (1977), doi:10.2465/minerj.8.311.
  • R. Kalbskopf, F. Pertlik, and J. Zeman, Verfeinerung des Kristallstruktur des Covellins, Cu S, mit Einkristalldaten, TMPM Tschermaks Min. Petr. Mitt. 22, 242–249 (1975).

Prototype Generator

aflow --proto=AB_hP12_194_cf_de --params=$a,c/a,z_{3},z_{4}$

Species:

Running:

Output: