Ho$_{2}$CoGa$_{8}$ Structure: AB8C2_tP11_123_a_ehi_g-003
| Prototype | CoGa$_{8}$Ho$_{2}$ |
| AFLOW prototype label | AB8C2_tP11_123_a_ehi_g-003 |
| ICSD | 198243 |
| Pearson symbol | tP11 |
| Space group number | 123 |
| Space group symbol | $P4/mmm$ |
| AFLOW prototype command |
aflow --proto=AB8C2_tP11_123_a_ehi_g-003
--params=$a, \allowbreak c/a, \allowbreak z_{3}, \allowbreak z_{4}, \allowbreak z_{5}$ |
Other compounds with this structure
Ce$_{2}$PdIn$_{8}$, Ce$_{2}$PtIn$_{8}$, Ho$_{2}$DyGa$_{8}$, Ho$_{2}$ErGa$_{8}$, Ho$_{2}$GdGa$_{8}$, Ho$_{2}$LuGa$_{8}$, Ho$_{2}$SmGa$_{8}$, Ho$_{2}$TbGa$_{8}$, Ho$_{2}$TmGa$_{8}$, Ho$_{2}$YGa$_{8}$
\[ \begin{array}{ccc}
\mathbf{a_{1}}&=&a \,\mathbf{\hat{x}}\\\mathbf{a_{2}}&=&a \,\mathbf{\hat{y}}\\\mathbf{a_{3}}&=&c \,\mathbf{\hat{z}}
\end{array}\]
Basis vectors
| Lattice coordinates | Cartesian coordinates | Wyckoff position | Atom type | |||
|---|---|---|---|---|---|---|
| $\mathbf{B_{1}}$ | = | $0$ | = | $0$ | (1a) | Co I |
| $\mathbf{B_{2}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}c \,\mathbf{\hat{z}}$ | (2e) | Ga I |
| $\mathbf{B_{3}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}c \,\mathbf{\hat{z}}$ | (2e) | Ga I |
| $\mathbf{B_{4}}$ | = | $z_{3} \, \mathbf{a}_{3}$ | = | $c z_{3} \,\mathbf{\hat{z}}$ | (2g) | Ho I |
| $\mathbf{B_{5}}$ | = | $- z_{3} \, \mathbf{a}_{3}$ | = | $- c z_{3} \,\mathbf{\hat{z}}$ | (2g) | Ho I |
| $\mathbf{B_{6}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{4} \,\mathbf{\hat{z}}$ | (2h) | Ga II |
| $\mathbf{B_{7}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}- z_{4} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{4} \,\mathbf{\hat{z}}$ | (2h) | Ga II |
| $\mathbf{B_{8}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}+z_{5} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{5} \,\mathbf{\hat{z}}$ | (4i) | Ga III |
| $\mathbf{B_{9}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}+z_{5} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}+c z_{5} \,\mathbf{\hat{z}}$ | (4i) | Ga III |
| $\mathbf{B_{10}}$ | = | $\frac{1}{2} \, \mathbf{a}_{2}- z_{5} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{5} \,\mathbf{\hat{z}}$ | (4i) | Ga III |
| $\mathbf{B_{11}}$ | = | $\frac{1}{2} \, \mathbf{a}_{1}- z_{5} \, \mathbf{a}_{3}$ | = | $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{5} \,\mathbf{\hat{z}}$ | (4i) | Ga III |
References
- Y. N. Grin', Y. P. Yarmolyuk, and E. I. Gladyshevskiia, Crystal structures of R$_{2}$CoGa$_{a}$ compounds (R= Sm, Gd, Tb, Dy, Er, Tm, Lu, Y) and RCoGa$_{5}$ compounds (R = Gd, Tb, Dy, Ho, Er,Tm, Lu, or Y), Sov. Phys. Crystallogr. 24, 137–139 (1976). Translated from Kristallografiya 24, 242 (1979).
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=AB8C2_tP11_123_a_ehi_g --params=$a,c/a,z_{3},z_{4},z_{5}$