Sulvanite (Cu$_{3}$S$_{4}$V, $H2_{4}$) Structure: A3B4C_cP8_215_c_e_b-001
| Prototype | Cu$_{3}$S$_{4}$V |
| AFLOW prototype label | A3B4C_cP8_215_c_e_b-001 |
| Strukturbericht designation | $H2_{4}$ |
| Mineral name | sulvanite |
| ICSD | 15490 |
| Pearson symbol | cP8 |
| Space group number | 215 |
| Space group symbol | $P\overline{4}3m$ |
| AFLOW prototype command |
aflow --proto=A3B4C_cP8_215_c_e_b-001
--params=$a, \allowbreak x_{3}$ |
Other compounds with this structure
Cu$_{3}$S$_{4}$Nb, Cu$_{3}$S$_{4}$Ta, Cu$_{3}$Se$_{4}$Nb, Cu$_{3}$Se$_{4}$Ta, Cu$_{3}$Se$_{4}$V, Cu$_{3}$Te$_{4}$Nb, Cu$_{3}$Te$_{4}$Ta, Cu$_{3}$Te$_{4}$V
- This structure is very similar to lazarevićite (AsCu$_{3}$S$_{4}$), except that in this case the copper atoms are on the cubic edges [the (3d) sites] rather than the cubic faces [the (3c) sites].
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&a \,\mathbf{\hat{x}}\\\mathbf{a_{2}}&=&a \,\mathbf{\hat{y}}\\\mathbf{a_{3}}&=&a \,\mathbf{\hat{z}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (1b) | V I |
| $\mathbf{B_{2}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (3c) | Cu I |
| $\mathbf{B_{3}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (3c) | Cu I |
| $\mathbf{B_{4}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}$ | (3c) | Cu I |
| $\mathbf{B_{5}}$ | = | $x_{3} \, \mathbf{a}_{1}+x_{3} \, \mathbf{a}_{2}+x_{3} \, \mathbf{a}_{3}$ | = | $a x_{3} \,\mathbf{\hat{x}}+a x_{3} \,\mathbf{\hat{y}}+a x_{3} \,\mathbf{\hat{z}}$ | (4e) | S I |
| $\mathbf{B_{6}}$ | = | $- x_{3} \, \mathbf{a}_{1}- x_{3} \, \mathbf{a}_{2}+x_{3} \, \mathbf{a}_{3}$ | = | $- a x_{3} \,\mathbf{\hat{x}}- a x_{3} \,\mathbf{\hat{y}}+a x_{3} \,\mathbf{\hat{z}}$ | (4e) | S I |
| $\mathbf{B_{7}}$ | = | $- x_{3} \, \mathbf{a}_{1}+x_{3} \, \mathbf{a}_{2}- x_{3} \, \mathbf{a}_{3}$ | = | $- a x_{3} \,\mathbf{\hat{x}}+a x_{3} \,\mathbf{\hat{y}}- a x_{3} \,\mathbf{\hat{z}}$ | (4e) | S I |
| $\mathbf{B_{8}}$ | = | $x_{3} \, \mathbf{a}_{1}- x_{3} \, \mathbf{a}_{2}- x_{3} \, \mathbf{a}_{3}$ | = | $a x_{3} \,\mathbf{\hat{x}}- a x_{3} \,\mathbf{\hat{y}}- a x_{3} \,\mathbf{\hat{z}}$ | (4e) | S I |
References
- F. J. Trojer, Refinement of the Structure of Sulvanite, Am. Mineral. 51, 890–894 (1966).
Found in
- R. T. Downs and M. Hall-Wallace, The American Mineralogist Crystal Structure Database, Am. Mineral. 88, 247–250 (2003).
Prototype Generator
aflow --proto=A3B4C_cP8_215_c_e_b --params=$a,x_{3}$