HoCoGa$_{5}$ Structure: AB5C_tP7_123_b_ci_a-001
Other compounds with this structure
CeRhIn$_{5}$, CeCoIn$_{5}$, DyCoGa$_{5}$, ErCoGa$_{5}$, GdCoGa$_{5}$, LuCoGa$_{5}$, TbCoGa$_{5}$, TmCoGa$_{5}$, UCoGa$_{5}$, YCoGa$_{5}$, CoIrIn$_{5}$, CoRhIn$_{5}$, LaCoIn$_{5}$, LaIrIn$_{5}$, LaRhIn$_{5}$, PrCoIn$_{5}$, PrIrIn$_{5}$, PrRhIn$_{5}$
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&a \,\mathbf{\hat{x}}\\\mathbf{a_{2}}&=&a \,\mathbf{\hat{y}}\\\mathbf{a_{3}}&=&c \,\mathbf{\hat{z}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $0$ | = | $0$ | (1a) | Ho I |
| $\mathbf{B_{2}}$ | = | $\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}c \,\mathbf{\hat{z}}$ | (1b) | Co I |
| $\mathbf{B_{3}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}$ | (1c) | Ga I |
| $\mathbf{B_{4}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{4} \,\mathbf{\hat{z}}$ | (4i) | Ga II |
| $\mathbf{B_{5}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+c z_{4} \,\mathbf{\hat{z}}$ | (4i) | Ga II |
| $\mathbf{B_{6}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}- z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{4} \,\mathbf{\hat{z}}$ | (4i) | Ga II |
| $\mathbf{B_{7}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}- z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{4} \,\mathbf{\hat{z}}$ | (4i) | Ga II |
References
- Y. Grin, Y. Yarmolyuk, and E. I. Gladyshevskii, Kristallicheskie struktury soedinenij R$_2$CoGa$_8$ (R=Sm, Gd, Tb, Dy, Ho, Er, Tm, Lu, Y) and RCoGa$_5$ (R=Gd, Tb, Dy, Ho, Er, Tm, Lu, Y), Kristallografiya 24, 242–246 (1979).
Found in
- P. Villars, HoCoGa5 Crystal Structure (2016). PAULING FILE in: Inorganic Solid Phases, SpringerMaterials (online database).
First cited in
- M. J. Mehl, D. Hicks, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 1, Comp. Mat. Sci. 136, S1-S828 (2017). (doi=10.1016/j.commatsci.2017.01.017)
Geometry files
Prototype Generator
aflow --proto=AB5C_tP7_123_b_ci_a --params=$a,c/a,z_{4}$