Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB6C_tP8_123_a_hi_b-001

If you are using this page, please cite:
H. Eckert, S. Divilov, M. J. Mehl, D. Hicks, A. C. Zettel, M. Esters. X. Campilongo and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 4. Submitted to Computational Materials Science.

Links to this page

https://aflow.org/p/1ALT
or https://aflow.org/p/AB6C_tP8_123_a_hi_b-001
or PDF Version

CePdGa$_{6}$ Structure: AB6C_tP8_123_a_hi_b-001

Picture of Structure; Click for Big Picture
Prototype CeGa$_{6}$Pd
AFLOW prototype label AB6C_tP8_123_a_hi_b-001
ICSD 240161
Pearson symbol tP8
Space group number 123
Space group symbol $P4/mmm$
AFLOW prototype command aflow --proto=AB6C_tP8_123_a_hi_b-001
--params=$a, \allowbreak c/a, \allowbreak z_{3}, \allowbreak z_{4}$

Other compounds with this structure

LaPdGa$_{6}$,  SrAu(Au$_{0.5}$Ga$_{0.5}$)$_{2}$Ga$_{4}$


  • The Springer Materials website gives SrAu(Au$_{0.5}$Ga$_{0.5}$)$_{2}$Ga$_{4}$ as the prototype, but we have chosen to use the stoichiometric CeGa$_{6}$Pd version.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $0$ = $0$ (1a) Ce I
$\mathbf{B_{2}}$ = $\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}c \,\mathbf{\hat{z}}$ (1b) Pd I
$\mathbf{B_{3}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+z_{3} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{3} \,\mathbf{\hat{z}}$ (2h) Ga I
$\mathbf{B_{4}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}- z_{3} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{3} \,\mathbf{\hat{z}}$ (2h) Ga I
$\mathbf{B_{5}}$ = $\frac{1}{2} \, \mathbf{a}_{2}+z_{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{4} \,\mathbf{\hat{z}}$ (4i) Ga II
$\mathbf{B_{6}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+z_{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+c z_{4} \,\mathbf{\hat{z}}$ (4i) Ga II
$\mathbf{B_{7}}$ = $\frac{1}{2} \, \mathbf{a}_{2}- z_{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{y}}- c z_{4} \,\mathbf{\hat{z}}$ (4i) Ga II
$\mathbf{B_{8}}$ = $\frac{1}{2} \, \mathbf{a}_{1}- z_{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{4} \,\mathbf{\hat{z}}$ (4i) Ga II

References

  • R. T. Macaluso, S. Nakatsuji, H. Lee, Z. Fisk, M. Moldovan, D. P. Young, and J. Y. Chan, Synthesis, structure, and magnetism of a new heavy-fermion antiferromagnet, CePdGa$_{6}$, J. Solid State Chem. 174, 296–301 (2003), doi:10.1016/S0022-4596(03)00223-8.

Prototype Generator

aflow --proto=AB6C_tP8_123_a_hi_b --params=$a,c/a,z_{3},z_{4}$

Species:

Running:

Output: