Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB5C_tP7_123_b_ci_a

  • 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)
  • D. Hicks, M. J. Mehl, E. Gossett, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 2, Comp. Mat. Sci. 161, S1-S1011 (2019). (doi=10.1016/j.commatsci.2018.10.043)
  • D. Hicks, M.J. Mehl, M. Esters, C. Oses, O. Levy, G.L.W. Hart, C. Toher, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 3, Comp. Mat. Sci. 199, 110450 (2021). (doi=10.1016/j.commatsci.2021.110450)

HoCoGa5 Structure: AB5C_tP7_123_b_ci_a

Picture of Structure; Click for Big Picture
Prototype : HoCoGa5
AFLOW prototype label : AB5C_tP7_123_b_ci_a
Strukturbericht designation : None
Pearson symbol : tP7
Space group number : 123
Space group symbol : $\text{P4/mmm}$
AFLOW prototype command : aflow --proto=AB5C_tP7_123_b_ci_a
--params=
$a$,$c/a$,$z_{4}$


Other compounds with this structure

  • DyCoGa5, ErCoGa5, GdCoGa5, LuCoGa5, TbCoGa5, TmCoGa5, YCoGa5, CoIrIn5, CoRhIn5, LaCoIn5, LaIrIn5, LaRhIn5, PrCoIn5, PrIrIn5, and PrRhIn5

Simple Tetragonal primitive vectors:

\[ \begin{array}{ccc} \mathbf{a}_1 & = & a \, \mathbf{\hat{x}} \\ \mathbf{a}_2 & = & a \, \mathbf{\hat{y}} \\ \mathbf{a}_3 & = & c \, \mathbf{\hat{z}}\\ \end{array} \]

Basis vectors:

\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & =&0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & =&0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(1a\right) & \text{Ho} \\ \mathbf{B}_{2} & =&\frac12 \, \mathbf{a}_{3}& =&\frac12 \, c \, \mathbf{\hat{z}}& \left(1b\right) & \text{Co} \\ \mathbf{B}_{3} & =&\frac12 \, \mathbf{a}_{1}+ \frac12 \, \mathbf{a}_{2}& =&\frac12 \, a \, \mathbf{\hat{x}}+ \frac12 \, a \, \mathbf{\hat{y}}& \left(1c\right) & \text{Ga I} \\ \mathbf{B}_{4} & =&\frac12 \, \mathbf{a}_{2}+ z_{4} \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{y}}+ z_{4} \, c \, \mathbf{\hat{z}}& \left(4i\right) & \text{Ga II} \\ \mathbf{B}_{5} & =&\frac12 \, \mathbf{a}_{1}+ z_{4} \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}+ z_{4} \, c \, \mathbf{\hat{z}}& \left(4i\right) & \text{Ga II} \\ \mathbf{B}_{6} & =&\frac12 \, \mathbf{a}_{2}- z_{4} \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{y}}- z_{4} \, c \, \mathbf{\hat{z}}& \left(4i\right) & \text{Ga II} \\ \mathbf{B}_{7} & =&\frac12 \, \mathbf{a}_{1}- z_{4} \, \mathbf{a}_{3}& =&\frac12 \, a \, \mathbf{\hat{x}}- z_{4} \, c \, \mathbf{\hat{z}}& \left(4i\right) & \text{Ga II} \\ \end{array} \]

References

  • Y. Grin, Y. P. Yarmolyuk, and E. I. Gladyshevskii, Kristallicheskie struktury soedinenij R2COGa8 (R = Sm, Gd, Tb, Dy, Ho, Er, Tm, Lu, Y) i RCoGa5 (R = Gd, Tb, Dy, Ho, Er, Tm, Lu, Y), Kristallografiya 24, 242–246 (1979).

Found in

  • P. Villars, Material Phases Data System ((MPDS), CH–6354 Vitznau, Switzerland, 2014). Accessed through the Springer Materials site.

Geometry files


Prototype Generator

aflow --proto=AB5C_tP7_123_b_ci_a --params=

Species:

Running:

Output: