Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: ABCD_tP8_129_b_c_a_c-001

This structure originally had the label ABCD_tP8_129_b_c_a_c. Calls to that address will be redirected here.

If you are using this page, please cite:
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)

Links to this page

https://aflow.org/p/VCTW
or https://aflow.org/p/ABCD_tP8_129_b_c_a_c-001
or PDF Version

LaOAgS Structure: ABCD_tP8_129_b_c_a_c-001

Picture of Structure; Click for Big Picture
Prototype AgLaOS
AFLOW prototype label ABCD_tP8_129_b_c_a_c-001
ICSD 15530
Pearson symbol tP8
Space group number 129
Space group symbol $P4/nmm$
AFLOW prototype command aflow --proto=ABCD_tP8_129_b_c_a_c-001
--params=$a, \allowbreak c/a, \allowbreak z_{3}, \allowbreak z_{4}$

Other compounds with this structure

BaCuSeF,  BiCuSeO,  BiCuTeO,  CeAgSeO,  CeCoGeH,  CeCoSiH,  CeCuSeO,  CeCuTeO,  CeFeGeH,  CeFeSiH,  CeMnGeH,  CeMnSiH,  CeRuSiH,  DyCuSeO,  ErCuSeO,  EuCuSeO,  GdCuSeO,  HoCuSeO,  LaAgSO,  LaAgSeO,  LaAgTeO,  LaCuTeO,  LaRuSiH,  LaiCuSeO,  NdAgSeO,  NdCuSeO,  NdCuTeO,  NdFeAsO,  PrAgSeO,  PrCuSeO,  PrCuTeO,  SmCuSeF,  SmCuSeO,  TbCuSeO,  YCuSeO


  • This structure has the same space group and Wyckoff positions as AsCuSiZr, but there is a substantial difference in the $c/a$ ratio leading to different bonding between the layers.

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

Basis vectors

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

References

  • M. Palazzi and S. Jaulmes, Structure du Conducteur Ionique (LaO)AgS, Acta Crystallogr. Sect. B 37, 1337–1339 (1981), doi:10.1107/S0567740881005876.

Found in

  • W. Suski and T. Palewski, Pnictides and Chalcogenides II (Springer-Verlag, Berlin,Heidelberg, 2003), vol. 27B5, chap. LaOAgS, doi:10.1007/10713485_89.

Prototype Generator

aflow --proto=ABCD_tP8_129_b_c_a_c --params=$a,c/a,z_{3},z_{4}$

Species:

Running:

Output: