KCu$_{4}$S$_{3}$ Structure: A4BC3_tP8_123_i_a_bh-001

Picture of Structure; Click for Big Picture
Prototype Cu$_{4}$KS$_{3}$
AFLOW prototype label A4BC3_tP8_123_i_a_bh-001
ICSD 23336
CCDC 1599462
Pearson symbol tP8
Space group number 123
Space group symbol $P4/mmm$
AFLOW prototype command aflow --proto=A4BC3_tP8_123_i_a_bh-001
--params=$a, \allowbreak c/a, \allowbreak z_{3}, \allowbreak z_{4}$

Other compounds with this structure

CsCu$_{4}$S$_{3}$,  CsCu$_{4}$Se$_{3}$,  KCu$_{4}$Se$_{3}$,  RbCu$_{4}$S$_{3}$,  RbCu$_{4}$Se$_{3}$,  TlCu$_{4}$S$_{3}$,  TlCu$_{4}$Se$_{3}$


  • The standard AFLOW label moves the origin from the S-I atom reported by (Brown, 1980) to the K-I atom.

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

Basis vectors

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

References

  • D. B. Brown, J. A. Zubieta, P. A. Vella, J. T. Wrobleski, T. Watt, W. E. Hatfield, and P. Day, Solid-state structure and electronic properties of a mixed-valence two-dimensional metal, potassium copper sulfide (KCu$_{4}$S$_{3}$), Inorg. Chem. 19, 1945–1950 (1980), doi:10.1021/ic50209a024.

First cited in

  • N. Anderson, M. J. Mehl, H. Eckert, S. Divilov, X. Campilongo, S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 5. Submitted to Computational Materials Science (2026).

Geometry files


Prototype Generator

aflow --proto=A4BC3_tP8_123_i_a_bh --params=$a,c/a,z_{3},z_{4}$

Species:

Running:

Output: