K$_{3}$Co(NO$_{2}$)$_{6}$ ($J2_{4}$) Structure: AB3C6D12_cF88_202_a_bc_e_h-001
| Prototype | CoK$_{3}$N$_{6}$O$_{12}$ |
| AFLOW prototype label | AB3C6D12_cF88_202_a_bc_e_h-001 |
| Strukturbericht designation | $J2_{4}$ |
| ICSD | 26746 |
| Pearson symbol | cF88 |
| Space group number | 202 |
| Space group symbol | $Fm\overline{3}$ |
| AFLOW prototype command |
aflow --proto=AB3C6D12_cF88_202_a_bc_e_h-001
--params=$a, \allowbreak x_{4}, \allowbreak y_{5}, \allowbreak z_{5}$ |
Other compounds with this structure
(NH$_{4}$)$_{2}$AgBi(NO$_{2}$)$_{6}$, (NH$_{4}$)$_{2}$LiBi(NO$_{2}$)$_{6}$, (NH$_{4}$)$_{2}$NaBi(NO$_{2}$)$_{6}$, (NH$_{4}$)$_{2}$NaCo(NO$_{2}$)$_{6}$, (NH$_{4}$)$_{2}$NaRh(NO$_{2}$)$_{6}$, (NH$_{4}$)$_{3}$Co(NO$_{2}$)$_{6}$, Cs$_{2}$AgBi(NO$_{2}$)$_{6}$, Cs$_{2}$LiBi(NO$_{2}$)$_{6}$, Cs$_{2}$NaBi(NO$_{2}$)$_{6}$, Cs$_{3}$Bi(NO$_{2}$)$_{6}$, K$_{2}$LiBi(NO$_{2}$)$_{6}$, K$_{2}$NaBi(NO$_{2}$)$_{6}$, K$_{2}$NaCo(NO$_{2}$)$_{6}$, K$_{2}$PbCu(NO$_{2}$)$_{6}$, K$_{3}$Ca(NO$_{2}$)$_{6}$, Rb$_{2}$AgBi(NO$_{2}$)$_{6}$, Rb$_{2}$NaBi(NO$_{2}$)$_{6}$, Tl$_{2}$AgBi(NO$_{2}$)$_{6}$, Tl$_{2}$LiBi(NO$_{2}$)$_{6}$, Tl$_{2}$NaBi(NO$_{2}$)$_{6}$
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $0$ | = | $0$ | (4a) | Co I |
| $\mathbf{B_{2}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}$ | (4b) | K I |
| $\mathbf{B_{3}}$ | = | $\frac{1}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ | (8c) | K II |
| $\mathbf{B_{4}}$ | = | $\frac{3}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $\frac{3}{4}a \,\mathbf{\hat{x}}+\frac{3}{4}a \,\mathbf{\hat{y}}+\frac{3}{4}a \,\mathbf{\hat{z}}$ | (8c) | K II |
| $\mathbf{B_{5}}$ | = | $- x_{4} \, \mathbf{a}_{1}+x_{4} \, \mathbf{a}_{2}+x_{4} \, \mathbf{a}_{3}$ | = | $a x_{4} \,\mathbf{\hat{x}}$ | (24e) | N I |
| $\mathbf{B_{6}}$ | = | $x_{4} \, \mathbf{a}_{1}- x_{4} \, \mathbf{a}_{2}- x_{4} \, \mathbf{a}_{3}$ | = | $- a x_{4} \,\mathbf{\hat{x}}$ | (24e) | N I |
| $\mathbf{B_{7}}$ | = | $x_{4} \, \mathbf{a}_{1}- x_{4} \, \mathbf{a}_{2}+x_{4} \, \mathbf{a}_{3}$ | = | $a x_{4} \,\mathbf{\hat{y}}$ | (24e) | N I |
| $\mathbf{B_{8}}$ | = | $- x_{4} \, \mathbf{a}_{1}+x_{4} \, \mathbf{a}_{2}- x_{4} \, \mathbf{a}_{3}$ | = | $- a x_{4} \,\mathbf{\hat{y}}$ | (24e) | N I |
| $\mathbf{B_{9}}$ | = | $x_{4} \, \mathbf{a}_{1}+x_{4} \, \mathbf{a}_{2}- x_{4} \, \mathbf{a}_{3}$ | = | $a x_{4} \,\mathbf{\hat{z}}$ | (24e) | N I |
| $\mathbf{B_{10}}$ | = | $- x_{4} \, \mathbf{a}_{1}- x_{4} \, \mathbf{a}_{2}+x_{4} \, \mathbf{a}_{3}$ | = | $- a x_{4} \,\mathbf{\hat{z}}$ | (24e) | N I |
| $\mathbf{B_{11}}$ | = | $\left(y_{5} + z_{5}\right) \, \mathbf{a}_{1}- \left(y_{5} - z_{5}\right) \, \mathbf{a}_{2}+\left(y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ | = | $a y_{5} \,\mathbf{\hat{y}}+a z_{5} \,\mathbf{\hat{z}}$ | (48h) | O I |
| $\mathbf{B_{12}}$ | = | $- \left(y_{5} - z_{5}\right) \, \mathbf{a}_{1}+\left(y_{5} + z_{5}\right) \, \mathbf{a}_{2}- \left(y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ | = | $- a y_{5} \,\mathbf{\hat{y}}+a z_{5} \,\mathbf{\hat{z}}$ | (48h) | O I |
| $\mathbf{B_{13}}$ | = | $\left(y_{5} - z_{5}\right) \, \mathbf{a}_{1}- \left(y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ | = | $a y_{5} \,\mathbf{\hat{y}}- a z_{5} \,\mathbf{\hat{z}}$ | (48h) | O I |
| $\mathbf{B_{14}}$ | = | $- \left(y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(y_{5} - z_{5}\right) \, \mathbf{a}_{2}- \left(y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ | = | $- a y_{5} \,\mathbf{\hat{y}}- a z_{5} \,\mathbf{\hat{z}}$ | (48h) | O I |
| $\mathbf{B_{15}}$ | = | $\left(y_{5} - z_{5}\right) \, \mathbf{a}_{1}+\left(y_{5} + z_{5}\right) \, \mathbf{a}_{2}- \left(y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ | = | $a z_{5} \,\mathbf{\hat{x}}+a y_{5} \,\mathbf{\hat{z}}$ | (48h) | O I |
| $\mathbf{B_{16}}$ | = | $- \left(y_{5} + z_{5}\right) \, \mathbf{a}_{1}- \left(y_{5} - z_{5}\right) \, \mathbf{a}_{2}+\left(y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ | = | $a z_{5} \,\mathbf{\hat{x}}- a y_{5} \,\mathbf{\hat{z}}$ | (48h) | O I |
| $\mathbf{B_{17}}$ | = | $\left(y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(y_{5} - z_{5}\right) \, \mathbf{a}_{2}- \left(y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ | = | $- a z_{5} \,\mathbf{\hat{x}}+a y_{5} \,\mathbf{\hat{z}}$ | (48h) | O I |
| $\mathbf{B_{18}}$ | = | $- \left(y_{5} - z_{5}\right) \, \mathbf{a}_{1}- \left(y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ | = | $- a z_{5} \,\mathbf{\hat{x}}- a y_{5} \,\mathbf{\hat{z}}$ | (48h) | O I |
| $\mathbf{B_{19}}$ | = | $- \left(y_{5} - z_{5}\right) \, \mathbf{a}_{1}+\left(y_{5} - z_{5}\right) \, \mathbf{a}_{2}+\left(y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ | = | $a y_{5} \,\mathbf{\hat{x}}+a z_{5} \,\mathbf{\hat{y}}$ | (48h) | O I |
| $\mathbf{B_{20}}$ | = | $\left(y_{5} + z_{5}\right) \, \mathbf{a}_{1}- \left(y_{5} + z_{5}\right) \, \mathbf{a}_{2}- \left(y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ | = | $- a y_{5} \,\mathbf{\hat{x}}+a z_{5} \,\mathbf{\hat{y}}$ | (48h) | O I |
| $\mathbf{B_{21}}$ | = | $- \left(y_{5} + z_{5}\right) \, \mathbf{a}_{1}+\left(y_{5} + z_{5}\right) \, \mathbf{a}_{2}+\left(y_{5} - z_{5}\right) \, \mathbf{a}_{3}$ | = | $a y_{5} \,\mathbf{\hat{x}}- a z_{5} \,\mathbf{\hat{y}}$ | (48h) | O I |
| $\mathbf{B_{22}}$ | = | $\left(y_{5} - z_{5}\right) \, \mathbf{a}_{1}- \left(y_{5} - z_{5}\right) \, \mathbf{a}_{2}- \left(y_{5} + z_{5}\right) \, \mathbf{a}_{3}$ | = | $- a y_{5} \,\mathbf{\hat{x}}- a z_{5} \,\mathbf{\hat{y}}$ | (48h) | O I |
References
- M. van Driel and H. J. Verweel, Über die Struktur der Tripelnitrite, Z Kristallogr. 35, 308–314 (1936), doi:10.1524/zkri.1936.95.1.308.
Found in
- C. Gottfried, ed., Strukturbericht Band IV 1936 (Akademische Verlagsgesellschaft M. B. H., Leipzig, 1938).
Prototype Generator
aflow --proto=AB3C6D12_cF88_202_a_bc_e_h --params=$a,x_{4},y_{5},z_{5}$