CeCu$_{2}$ Structure: AB2_oI12_74_e_h-001
| Prototype | CeCu$_{2}$ |
| AFLOW prototype label | AB2_oI12_74_e_h-001 |
| ICSD | 102124 |
| Pearson symbol | oI12 |
| Space group number | 74 |
| Space group symbol | $Imma$ |
| AFLOW prototype command |
aflow --proto=AB2_oI12_74_e_h-001
--params=$a, \allowbreak b/a, \allowbreak c/a, \allowbreak z_{1}, \allowbreak y_{2}, \allowbreak z_{2}$ |
Other compounds with this structure
CaZn$_{2}$, CeAg$_{2}$, CeAu$_{2}$, CeCu$_{2}$, CeZn$_{2}$, DyCu$_{2}$, DyZn$_{2}$, ErCu$_{2}$, ErZn$_{2}$, EuAg$_{2}$, EuAu$_{2}$, EuCu$_{2}$, EuZn$_{2}$, GdCu$_{2}$, GdZn$_{2}$, HoCu$_{2}$, HoZn$_{2}$, LaAg$_{2}$, LaAu$_{2}$, LaZn$_{2}$, LuCu$_{2}$, LuZn$_{2}$, NdAg$_{2}$, NdCu$_{2}$, NdZn$_{2}$, PrAg$_{2}$, PrCu$_{2}$, PrZn$_{2}$, SmCu$_{2}$, SmZn$_{2}$, TbCu$_{2}$, ThZn$_{2}$, TmZn$_{2}$, YbAg$_{2}$, YbCu$_{2}$, YbZn$_{2}$
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&- \frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}b \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}- \frac{1}{2}b \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}b \,\mathbf{\hat{y}}- \frac{1}{2}c \,\mathbf{\hat{z}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $\left(z_{1} + \frac{1}{4}\right) \, \mathbf{a}_{1}+z_{1} \, \mathbf{a}_{2}+\frac{1}{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{4}b \,\mathbf{\hat{y}}+c z_{1} \,\mathbf{\hat{z}}$ | (4e) | Ce I |
| $\mathbf{B_{2}}$ | = | $- \left(z_{1} - \frac{3}{4}\right) \, \mathbf{a}_{1}- z_{1} \, \mathbf{a}_{2}+\frac{3}{4} \, \mathbf{a}_{3}$ | = | $\frac{3}{4}b \,\mathbf{\hat{y}}- c z_{1} \,\mathbf{\hat{z}}$ | (4e) | Ce I |
| $\mathbf{B_{3}}$ | = | $\left(y_{2} + z_{2}\right) \, \mathbf{a}_{1}+z_{2} \, \mathbf{a}_{2}+y_{2} \, \mathbf{a}_{3}$ | = | $b y_{2} \,\mathbf{\hat{y}}+c z_{2} \,\mathbf{\hat{z}}$ | (8h) | Cu I |
| $\mathbf{B_{4}}$ | = | $\left(- y_{2} + z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+z_{2} \, \mathbf{a}_{2}- \left(y_{2} - \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $- b \left(y_{2} - \frac{1}{2}\right) \,\mathbf{\hat{y}}+c z_{2} \,\mathbf{\hat{z}}$ | (8h) | Cu I |
| $\mathbf{B_{5}}$ | = | $\left(y_{2} - z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}- z_{2} \, \mathbf{a}_{2}+\left(y_{2} + \frac{1}{2}\right) \, \mathbf{a}_{3}$ | = | $b \left(y_{2} + \frac{1}{2}\right) \,\mathbf{\hat{y}}- c z_{2} \,\mathbf{\hat{z}}$ | (8h) | Cu I |
| $\mathbf{B_{6}}$ | = | $- \left(y_{2} + z_{2}\right) \, \mathbf{a}_{1}- z_{2} \, \mathbf{a}_{2}- y_{2} \, \mathbf{a}_{3}$ | = | $- b y_{2} \,\mathbf{\hat{y}}- c z_{2} \,\mathbf{\hat{z}}$ | (8h) | Cu I |
References
- A. C. Larson and D. T. Cromer, The crystal structure of CeCu$_{2}$, Acta Cryst. 14, 73–74 (1961), doi:10.1107/S0365110X61000231.
- D. Debray, Crystal Chemistry of the CeCu$_{2}$-type structure, J. Less-Common Met. 30, 237–248 (1973), doi:10.1016/0022-5088(73)90110-0.
Prototype Generator
aflow --proto=AB2_oI12_74_e_h --params=$a,b/a,c/a,z_{1},y_{2},z_{2}$