Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A2B3_tP5_115_g_ag-001

This structure originally had the label A2B3_tP5_115_g_ag. Calls to that address will be redirected here.

If you are using this page, please cite:
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)

Links to this page

https://aflow.org/p/EXDQ
or https://aflow.org/p/A2B3_tP5_115_g_ag-001
or PDF Version

Rh$_{3}$P$_{2}$ Structure: A2B3_tP5_115_g_ag-001

Picture of Structure; Click for Big Picture
Prototype P$_{2}$Rh$_{3}$
AFLOW prototype label A2B3_tP5_115_g_ag-001
ICSD 35626
Pearson symbol tP5
Space group number 115
Space group symbol $P\overline{4}m2$
AFLOW prototype command aflow --proto=A2B3_tP5_115_g_ag-001
--params=$a, \allowbreak c/a, \allowbreak z_{2}, \allowbreak z_{3}$

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $0$ = $0$ (1a) Rh I
$\mathbf{B_{2}}$ = $\frac{1}{2} \, \mathbf{a}_{2}+z_{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{2} \,\mathbf{\hat{z}}$ (2g) P I
$\mathbf{B_{3}}$ = $\frac{1}{2} \, \mathbf{a}_{1}- z_{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{2} \,\mathbf{\hat{z}}$ (2g) P I
$\mathbf{B_{4}}$ = $\frac{1}{2} \, \mathbf{a}_{2}+z_{3} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{y}}+c z_{3} \,\mathbf{\hat{z}}$ (2g) Rh II
$\mathbf{B_{5}}$ = $\frac{1}{2} \, \mathbf{a}_{1}- z_{3} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}- c z_{3} \,\mathbf{\hat{z}}$ (2g) Rh II

References

  • E. H. E. Ghadraoui, R. Guerin, and M. Sergent, Diphosphure de trirhodium, Rh$_{3}$P$_{2}$: premier exemple d'une structure lacunaire ordonnée de type anti-PbFCl, Acta Crystallogr. Sect. C 39, 1493–1494 (1983), doi:10.1107/S0108270183009002.

Found in

  • P. Villars and K. Cenzual, Pearson's Crystal Data – Crystal Structure Database for Inorganic Compounds (2013). ASM International.

Prototype Generator

aflow --proto=A2B3_tP5_115_g_ag --params=$a,c/a,z_{2},z_{3}$

Species:

Running:

Output: