Ce$_{5}$Pd$_{2}$In$_{19}$ Structure: A5B19C2_tP26_123_a2g_ce2h3i_g-001
| Prototype | Ce$_{5}$In$_{19}$Pd$_{2}$ |
| AFLOW prototype label | A5B19C2_tP26_123_a2g_ce2h3i_g-001 |
| ICSD | 247863 |
| Pearson symbol | tP26 |
| Space group number | 123 |
| Space group symbol | $P4/mmm$ |
| AFLOW prototype command |
aflow --proto=A5B19C2_tP26_123_a2g_ce2h3i_g-001
--params=$a, \allowbreak c/a, \allowbreak z_{4}, \allowbreak z_{5}, \allowbreak z_{6}, \allowbreak z_{7}, \allowbreak z_{8}, \allowbreak z_{9}, \allowbreak z_{10}, \allowbreak z_{11}$ |
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&a \,\mathbf{\hat{x}}\\\mathbf{a_{2}}&=&a \,\mathbf{\hat{y}}\\\mathbf{a_{3}}&=&c \,\mathbf{\hat{z}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $0$ | = | $0$ | (1a) | Ce I |
| $\mathbf{B_{2}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}$ | (1c) | In I |
| $\mathbf{B_{3}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}$ | (2e) | In II |
| $\mathbf{B_{4}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}c \,\mathbf{\hat{z}}$ | (2e) | In II |
| $\mathbf{B_{5}}$ | = | $z_{4} \, \mathbf{a}_{3}$ | = | $c z_{4} \,\mathbf{\hat{z}}$ | (2g) | Ce II |
| $\mathbf{B_{6}}$ | = | $- z_{4} \, \mathbf{a}_{3}$ | = | $- c z_{4} \,\mathbf{\hat{z}}$ | (2g) | Ce II |
| $\mathbf{B_{7}}$ | = | $z_{5} \, \mathbf{a}_{3}$ | = | $c z_{5} \,\mathbf{\hat{z}}$ | (2g) | Ce III |
| $\mathbf{B_{8}}$ | = | $- z_{5} \, \mathbf{a}_{3}$ | = | $- c z_{5} \,\mathbf{\hat{z}}$ | (2g) | Ce III |
| $\mathbf{B_{9}}$ | = | $z_{6} \, \mathbf{a}_{3}$ | = | $c z_{6} \,\mathbf{\hat{z}}$ | (2g) | Pd I |
| $\mathbf{B_{10}}$ | = | $- z_{6} \, \mathbf{a}_{3}$ | = | $- c z_{6} \,\mathbf{\hat{z}}$ | (2g) | Pd I |
| $\mathbf{B_{11}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+z_{7} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{7} \,\mathbf{\hat{z}}$ | (2h) | In III |
| $\mathbf{B_{12}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}- z_{7} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{7} \,\mathbf{\hat{z}}$ | (2h) | In III |
| $\mathbf{B_{13}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+z_{8} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{8} \,\mathbf{\hat{z}}$ | (2h) | In IV |
| $\mathbf{B_{14}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}- z_{8} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{8} \,\mathbf{\hat{z}}$ | (2h) | In IV |
| $\mathbf{B_{15}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+z_{9} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{9} \,\mathbf{\hat{z}}$ | (4i) | In V |
| $\mathbf{B_{16}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+z_{9} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+c z_{9} \,\mathbf{\hat{z}}$ | (4i) | In V |
| $\mathbf{B_{17}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}- z_{9} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{9} \,\mathbf{\hat{z}}$ | (4i) | In V |
| $\mathbf{B_{18}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}- z_{9} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{9} \,\mathbf{\hat{z}}$ | (4i) | In V |
| $\mathbf{B_{19}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+z_{10} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{10} \,\mathbf{\hat{z}}$ | (4i) | In VI |
| $\mathbf{B_{20}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+z_{10} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+c z_{10} \,\mathbf{\hat{z}}$ | (4i) | In VI |
| $\mathbf{B_{21}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}- z_{10} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{10} \,\mathbf{\hat{z}}$ | (4i) | In VI |
| $\mathbf{B_{22}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}- z_{10} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{10} \,\mathbf{\hat{z}}$ | (4i) | In VI |
| $\mathbf{B_{23}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+z_{11} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{11} \,\mathbf{\hat{z}}$ | (4i) | In VII |
| $\mathbf{B_{24}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+z_{11} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+c z_{11} \,\mathbf{\hat{z}}$ | (4i) | In VII |
| $\mathbf{B_{25}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}- z_{11} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{11} \,\mathbf{\hat{z}}$ | (4i) | In VII |
| $\mathbf{B_{26}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}- z_{11} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{11} \,\mathbf{\hat{z}}$ | (4i) | In VII |
References
- A. Tursina, S. Nesterenko, Y. Seropegin, H. Noël, and D. Kaczorowski, Ce$_{2}$PdIn$_{8}$, Ce$_{3}$PdIn$_{11}$ and Ce$_{5}$Pd$_{2}$In$_{19}$–members of homological series based on AuCu$_{3-}$ and PtHg$_{2-}$ type structural units, J. Solid State Chem. 200, 7–12 (2013), doi:10.1016/j.jssc.2012.12.037.
Found in
- M. Kratochvilova, M. Dusek, K. Uhlirova, A. Rudajevova, J. Prokleska, B. Vondrackova, J. Custers, and V. Sechovsky, Single crystal study of the layered heavy fermion compounds Ce$_{2}$PdIn$_{8}$, Ce$_{3}$PdIn$_{11}$, Ce$_{2}$PtIn$_{8}$ and Ce$_{3}$PtIn$_{11}$, J. Cryst. Growth 397, 47–52 (2014), doi:10.1016/j.jcrysgro.2014.04.008.
Prototype Generator
aflow --proto=A5B19C2_tP26_123_a2g_ce2h3i_g --params=$a,c/a,z_{4},z_{5},z_{6},z_{7},z_{8},z_{9},z_{10},z_{11}$