Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A4B3_cI14_229_c_b-001

This structure originally had the label A4B3_cI14_229_c_b. 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/BYND
or https://aflow.org/p/A4B3_cI14_229_c_b-001
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Pt$_{3}$O$_{4}$ Structure: A4B3_cI14_229_c_b-001

Picture of Structure; Click for Big Picture
Prototype O$_{4}$Pt$_{3}$
AFLOW prototype label A4B3_cI14_229_c_b-001
ICSD 27836
Pearson symbol cI14
Space group number 229
Space group symbol $Im\overline{3}m$
AFLOW prototype command aflow --proto=A4B3_cI14_229_c_b-001
--params=$a$


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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}$ (6b) Pt I
$\mathbf{B_{2}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{y}}$ (6b) Pt I
$\mathbf{B_{3}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}$ = $\frac{1}{2}a \,\mathbf{\hat{z}}$ (6b) Pt I
$\mathbf{B_{4}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ (8c) O I
$\mathbf{B_{5}}$ = $\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}- \frac{1}{4}a \,\mathbf{\hat{z}}$ (8c) O I
$\mathbf{B_{6}}$ = $\frac{1}{2} \, \mathbf{a}_{2}$ = $\frac{1}{4}a \,\mathbf{\hat{x}}- \frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ (8c) O I
$\mathbf{B_{7}}$ = $\frac{1}{2} \, \mathbf{a}_{1}$ = $- \frac{1}{4}a \,\mathbf{\hat{x}}+\frac{1}{4}a \,\mathbf{\hat{y}}+\frac{1}{4}a \,\mathbf{\hat{z}}$ (8c) O I

References

  • E. E. Galloni and A. E. R. Jr., The Crystalline Structure of Pt$_3$O$_4$, J. Chem. Phys. 9, 875–877 (1941), doi:10.1063/1.1750860.
  • O. Muller and R. Roy, Formation and stability of the platinum and rhodium oxides at high oxygen pressures and the structures of Pt$_3$O$_4$, β-PtO$_2$ and RhO$_2$, J. Less-Common Met. 16, 129–146 (1968), doi:10.1016/0022-5088(68)90070-2.

Found in

  • P. Villars and L. Calvert, Pearson's Handbook of Crystallographic Data for Intermetallic Phases (ASM International, Materials Park, OH, 1991), 2nd edn.

Prototype Generator

aflow --proto=A4B3_cI14_229_c_b --params=$a$

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