Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A2B_cF24_227_c_b-001

This structure originally had the label A2B_cF24_227_d_a. Calls to that address will be redirected here.

If you are using this page, please cite:
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)

Links to this page

https://aflow.org/p/8YL7
or https://aflow.org/p/A2B_cF24_227_c_b-001
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Cu$_{2}$Mg Cubic Laves ($C15$) Structure: A2B_cF24_227_c_b-001

Picture of Structure; Click for Big Picture
Prototype Cu$_{2}$Mg
AFLOW prototype label A2B_cF24_227_c_b-001
Strukturbericht designation $C15$
Mineral name laves
ICSD 108388
Pearson symbol cF24
Space group number 227
Space group symbol $Fd\overline{3}m$
AFLOW prototype command aflow --proto=A2B_cF24_227_c_b-001
--params=$a$

Other compounds with this structure

Al$_{2}$Ce,  Al$_{2}$Dy,  Al$_{2}$Er,  Al$_{2}$Eu,  Al$_{2}$Gd,  Al$_{2}$Ho,  Al$_{2}$La,  Al$_{2}$Lu,  Al$_{2}$Nb,  Al$_{2}$Nd,  Al$_{2}$Pr,  Al$_{2}$Pu,  Al$_{2}$Sc,  Al$_{2}$Sm,  Al$_{2}$Tb,  Al$_{2}$Tm,  Al$_{2}$U,  Al$_{2}$Y,  Al$_{2}$Yb,  Au$_{2}$Bi,  Au$_{2}$Na,  Au$_{2}$Pb,  Be$_{2}$Nb,  Be$_{2}$Ta,  Be$_{2}$Ti,  Bi$_{2}$Cs,  Bi$_{2}$K,  Bi$_{2}$Rb,  Co$_{2}$Ce,  Co$_{2}$Dy,  Co$_{2}$Er,  Co$_{2}$Gd,  Co$_{2}$Ho,  Co$_{2}$Lu,  Co$_{2}$Nb,  Co$_{2}$Nd,  Co$_{2}$Pr,  Co$_{2}$Pu,  Co$_{2}$Sc,  Co$_{2}$Sm,  Co$_{2}$Ta,  Co$_{2}$Tb,  Co$_{2}$Ti,  Co$_{2}$Tm,  Co$_{2}$U,  Co$_{2}$Y,  Co$_{2}$Yb,  Co$_{2}$Zr,  Cr$_{2}$Hf,  Cr$_{2}$Ta,  Cr$_{2}$Ti,  Cr$_{2}$Zr,  Fe$_{2}$Ce,  Fe$_{2}$Dy,  Fe$_{2}$Er,  Fe$_{2}$Gd,  Fe$_{2}$Hf,  Fe$_{2}$Ho,  Fe$_{2}$Lu,  Fe$_{2}$Pu,  Fe$_{2}$Sm,  Fe$_{2}$Tm,  Fe$_{2}$U,  Fe$_{2}$Y,  Fe$_{2}$Zr,  Hf$_{2}$Mo,  In$_{2}$Th,  Ir$_{2}$Ca,  Ir$_{2}$Ce,  Ir$_{2}$Dy,  Ir$_{2}$Er,  Ir$_{2}$Eu,  Ir$_{2}$Gd,  Ir$_{2}$Ho,  Ir$_{2}$La,  Ir$_{2}$Lu,  Ir$_{2}$Nd,  Ir$_{2}$Pr,  Ir$_{2}$Sc,  Ir$_{2}$Sr,  Ir$_{2}$Tb,  Ir$_{2}$Th,  Ir$_{2}$Tm,  Ir$_{2}$U,  Ir$_{2}$Y,  Ir$_{2}$Zr,  Mg$_{2}$Gd,  Mg$_{2}$La,  Mg$_{2}$Nd,  Mg$_{2}$Pr,  Mg$_{2}$Pu,  Mg$_{2}$Sm,  Mg$_{2}$Tb,  Mg$_{2}$Th,  Mg$_{2}$U,  Mg$_{2}$Y,  Mg$_{2}$Zr,  Mn$_{2}$Ce,  Mn$_{2}$Dy,  Mn$_{2}$Gd,  Mn$_{2}$Ho,  Mn$_{2}$Pu,  Mn$_{2}$Tb,  Mn$_{2}$U,  Mn$_{2}$Y,  Mn$_{2}$Zr,  Mo$_{2}$Zr,  Ni$_{2}$Ce,  Ni$_{2}$Dy,  Ni$_{2}$Er,  Ni$_{2}$Gd,  Ni$_{2}$Ho,  Ni$_{2}$La,  Ni$_{2}$Nd,  Ni$_{2}$Pu,  Ni$_{2}$Tm,  Os$_{2}$Ce,  Os$_{2}$La,  Os$_{2}$Pr,  Os$_{2}$Th,  Os$_{2}$U,  Pa$_{2}$Ni,  Pd$_{2}$Ba,  Pd$_{2}$Ca,  Pd$_{2}$Sr,  Pr$_{2}$Ni,  Pt$_{2}$Ba,  Pt$_{2}$Ca,  Pt$_{2}$Ce,  Pt$_{2}$Dy,  Pt$_{2}$Gd,  Pt$_{2}$Ho,  Pt$_{2}$La,  Pt$_{2}$Nd,  Pt$_{2}$Pr,  Pt$_{2}$Sm,  Pt$_{2}$Sr,  Pt$_{2}$Tb,  Pt$_{2}$Y,  Rh$_{2}$Ca,  Rh$_{2}$Ce,  Rh$_{2}$Dy,  Rh$_{2}$Er,  Rh$_{2}$Gd,  Rh$_{2}$Ho,  Rh$_{2}$La,  Rh$_{2}$Nd,  Rh$_{2}$Pr,  Rh$_{2}$Sr,  Rh$_{2}$Tb,  Rh$_{2}$Tm,  Rh$_{2}$Y,  Ru$_{2}$Ce,  Ru$_{2}$Gd,  Ru$_{2}$La,  Ru$_{2}$Nd,  Ru$_{2}$Pu,  Ru$_{2}$Sm,  Ru$_{2}$Th,  Sc$_{2}$Ni,  Sm$_{2}$Ni,  Tb$_{2}$Ni,  Th$_{2}$Ba,  Tm$_{2}$Ni,  V$_{2}$Hf,  V$_{2}$Zr,  W$_{2}$Hf,  W$_{2}$Zr,  Y$_{2}$Ni,  Yb$_{2}$Ni,  Zn$_{2}$Pu,  Zn$_{2}$Zr


\[ \begin{array}{ccc} \mathbf{a_{1}}&=&\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{2}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{z}}\\\mathbf{a_{3}}&=&\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}} \end{array}\]

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $\frac{3}{8} \, \mathbf{a}_{1}+\frac{3}{8} \, \mathbf{a}_{2}+\frac{3}{8} \, \mathbf{a}_{3}$ = $\frac{3}{8}a \,\mathbf{\hat{x}}+\frac{3}{8}a \,\mathbf{\hat{y}}+\frac{3}{8}a \,\mathbf{\hat{z}}$ (8b) Mg I
$\mathbf{B_{2}}$ = $\frac{5}{8} \, \mathbf{a}_{1}+\frac{5}{8} \, \mathbf{a}_{2}+\frac{5}{8} \, \mathbf{a}_{3}$ = $\frac{5}{8}a \,\mathbf{\hat{x}}+\frac{5}{8}a \,\mathbf{\hat{y}}+\frac{5}{8}a \,\mathbf{\hat{z}}$ (8b) Mg I
$\mathbf{B_{3}}$ = $0$ = $0$ (16c) Cu I
$\mathbf{B_{4}}$ = $\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}$ (16c) Cu I
$\mathbf{B_{5}}$ = $\frac{1}{2} \, \mathbf{a}_{2}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ (16c) Cu I
$\mathbf{B_{6}}$ = $\frac{1}{2} \, \mathbf{a}_{1}$ = $\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ (16c) Cu I

References

  • J. B. Friauf, The Crystal Structures of Two Intermetallic Compounds, J. Am. Chem. Soc. 49, 3107–3114 (1927), doi:10.1021/ja01411a017.

Found in

  • R. G. W. Wyckoff, Crystal Structure, vol. 1 (Interscience, New York, London, Sydney, 1963).

Prototype Generator

aflow --proto=A2B_cF24_227_c_b --params=$a$

Species:

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