EuAuAl$_{4}$(Au$_{1-x}$Ge$_{x}$)$_{2}$ Structure: A4BCD2_tP8_123_i_a_b_h-001
| Prototype | Al$_{4}$Au$_{2(1-x)}$EuGe$_{2x}$ |
| AFLOW prototype label | A4BCD2_tP8_123_i_a_b_h-001 |
| ICSD | 415291 |
| CCDC | 1729375 |
| Pearson symbol | tP8 |
| Space group number | 123 |
| Space group symbol | $P4/mmm$ |
| AFLOW prototype command |
aflow --proto=A4BCD2_tP8_123_i_a_b_h-001
--params=$a, \allowbreak c/a, \allowbreak z_{3}, \allowbreak z_{4}$ |
Other compounds with this structure
EuAuAl$_{4}$(Au$_{1-x}$Ge$_{x}$)$_{2}$
- Like CeAuAl$_{4}$Ge$_{2}$, the rare earth atoms in this structure have a complex antiferromagnetic ordering at low temperatures (Feng, 2024).
- The site we label
Ge
actually has the composition Ge$_{0.59}$Au$_{0.41}$.
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&a \,\mathbf{\hat{x}}\\\mathbf{a_{2}}&=&a \,\mathbf{\hat{y}}\\\mathbf{a_{3}}&=&c \,\mathbf{\hat{z}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $0$ | = | $0$ | (1a) | Au I |
| $\mathbf{B_{2}}$ | = | $\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}c \,\mathbf{\hat{z}}$ | (1b) | Eu I |
| $\mathbf{B_{3}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+z_{3} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{3} \,\mathbf{\hat{z}}$ | (2h) | Ge I |
| $\mathbf{B_{4}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}- z_{3} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{3} \,\mathbf{\hat{z}}$ | (2h) | Ge I |
| $\mathbf{B_{5}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{4} \,\mathbf{\hat{z}}$ | (4i) | Al I |
| $\mathbf{B_{6}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+c z_{4} \,\mathbf{\hat{z}}$ | (4i) | Al I |
| $\mathbf{B_{7}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}- z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{4} \,\mathbf{\hat{z}}$ | (4i) | Al I |
| $\mathbf{B_{8}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}- z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{4} \,\mathbf{\hat{z}}$ | (4i) | Al I |
References
- X. Wu and M. G. Kanatzidis, REAuAl$_{4}$Ge$_{2}$ and REAuAl$_{4}$(Au$_{x}$Ge$_{1-x}$)$_{2}$ (RE=rare earth element): Quaternary intermetallics grown in liquid aluminum, J. Solid State Chem. 178, 3233–3242 (2005), doi:10.1103/PhysRevB.109.014436.
Found in
- K. Feng, C. Bush, O. Oladehin, M. Lee, and R. Baumbach, Complex antiferromagnetic order in the metallic triangular lattice compound SmAuAl$_{4}$Ge$_{2}$, Phys. Rev. B 109, 014436 (2024), doi:10.1103/PhysRevB.109.014436.
First cited in
- N. Anderson, M. J. Mehl, H. Eckert, S. Divilov, X. Campilongo, S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 5. Submitted to Computational Materials Science (2026).
Geometry files
Prototype Generator
aflow --proto=A4BCD2_tP8_123_i_a_b_h --params=$a,c/a,z_{3},z_{4}$