Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB2_oI12_74_e_h

  • 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)

CeCu2 Structure : AB2_oI12_74_e_h

Picture of Structure; Click for Big Picture
Prototype : CeCu2
AFLOW prototype label : AB2_oI12_74_e_h
Strukturbericht designation : None
Pearson symbol : oI12
Space group number : 74
Space group symbol : $Imma$
AFLOW prototype command : aflow --proto=AB2_oI12_74_e_h
--params=
$a$,$b/a$,$c/a$,$z_{1}$,$y_{2}$,$z_{2}$


Other compounds with this structure

  • CeCu2, PrCu2, NdCu2, SmCu2, EuCu2, GdCu2, TbCu2, DyCu2, HoCu2, ErCu2, YbCu2, LuCu2, LaZn2, CeZn2, PrZn2, NdZn2, SmZn2, EuZn2, GdZn2, ThZn2, DyZn2, HoZn2, ErZn2, TmZn2, YbZn2, LuZn2, LaAg2, CeAg2, PrAg2, NdAg2, EuAg2, YbAg2, LaAu2, CeAu2, and EuAu2

Body-centered Orthorhombic primitive vectors:

\[ \begin{array}{ccc} \mathbf{a}_1 & = & - \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, b \, \mathbf{\hat{y}} + \frac12 \, c \, \mathbf{\hat{z}} \\ \mathbf{a}_2 & = & ~ \frac12 \, a \, \mathbf{\hat{x}} - \frac12 \, b \, \mathbf{\hat{y}} + \frac12 \, c \, \mathbf{\hat{z}} \\ \mathbf{a}_3 & = & ~ \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, b \, \mathbf{\hat{y}} - \frac12 \, c \, \mathbf{\hat{z}} \\ \end{array} \]

Basis vectors:

\[ \begin{array}{ccccccc} & & \text{Lattice Coordinates} & & \text{Cartesian Coordinates} &\text{Wyckoff Position} & \text{Atom Type} \\ \mathbf{B}_{1} & = & \left(\frac{1}{4} +z_{1}\right) \, \mathbf{a}_{1} + z_{1} \, \mathbf{a}_{2} + \frac{1}{4} \, \mathbf{a}_{3} & = & \frac{1}{4}b \, \mathbf{\hat{y}} + z_{1}c \, \mathbf{\hat{z}} & \left(4e\right) & \text{Ce} \\ \mathbf{B}_{2} & = & \left(\frac{3}{4} - z_{1}\right) \, \mathbf{a}_{1}-z_{1} \, \mathbf{a}_{2} + \frac{3}{4} \, \mathbf{a}_{3} & = & \frac{3}{4}b \, \mathbf{\hat{y}}-z_{1}c \, \mathbf{\hat{z}} & \left(4e\right) & \text{Ce} \\ \mathbf{B}_{3} & = & \left(y_{2}+z_{2}\right) \, \mathbf{a}_{1} + z_{2} \, \mathbf{a}_{2} + y_{2} \, \mathbf{a}_{3} & = & y_{2}b \, \mathbf{\hat{y}} + z_{2}c \, \mathbf{\hat{z}} & \left(8h\right) & \text{Cu} \\ \mathbf{B}_{4} & = & \left(\frac{1}{2} - y_{2} + z_{2}\right) \, \mathbf{a}_{1} + z_{2} \, \mathbf{a}_{2} + \left(\frac{1}{2} - y_{2}\right) \, \mathbf{a}_{3} & = & \left(\frac{1}{2}-y_{2}\right)b \, \mathbf{\hat{y}} + z_{2}c \, \mathbf{\hat{z}} & \left(8h\right) & \text{Cu} \\ \mathbf{B}_{5} & = & \left(\frac{1}{2} +y_{2} - z_{2}\right) \, \mathbf{a}_{1}-z_{2} \, \mathbf{a}_{2} + \left(\frac{1}{2} +y_{2}\right) \, \mathbf{a}_{3} & = & \left(\frac{1}{2} +y_{2}\right)b \, \mathbf{\hat{y}}-z_{2}c \, \mathbf{\hat{z}} & \left(8h\right) & \text{Cu} \\ \mathbf{B}_{6} & = & \left(-y_{2}-z_{2}\right) \, \mathbf{a}_{1}-z_{2} \, \mathbf{a}_{2}-y_{2} \, \mathbf{a}_{3} & = & -y_{2}b \, \mathbf{\hat{y}}-z_{2}c \, \mathbf{\hat{z}} & \left(8h\right) & \text{Cu} \\ \end{array} \]

References

Geometry files


Prototype Generator

aflow --proto=AB2_oI12_74_e_h --params=

Species:

Running:

Output: