Dyscrasite (Ag$_{3.15}$Sb$_{0.85}$) Structure: A3B_oP4_25_abc_d-001

Picture of Structure; Click for Big Picture
Prototype Ag$_{3}$Sb
AFLOW prototype label A3B_oP4_25_abc_d-001
Mineral name dyscrasite
ICSD 64698
CCDC 1626881
Pearson symbol oP4
Space group number 25
Space group symbol $Pmm2$
AFLOW prototype command aflow --proto=A3B_oP4_25_abc_d-001
--params=$a, \allowbreak b/a, \allowbreak c/a, \allowbreak z_{1}, \allowbreak z_{2}, \allowbreak z_{3}, \allowbreak z_{4}$

  • We have reordered the Wyckoff positions of this structure to match the AFLOW standard. What (Scott, 1976) designated as the Sb (1a) site is now (1d). That site is actually 85% antimony and 15% silver.
  • Space group $Pmm2$ #25 allows an arbitary choice of the origin of the $z$-axis. We set $z_{1} = 0$ for the (1a) site.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $z_{1} \, \mathbf{a}_{3}$ = $c z_{1} \,\mathbf{\hat{z}}$ (1a) Ag I
$\mathbf{B_{2}}$ = $\frac{1}{2} \, \mathbf{a}_{2}+z_{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}b \,\mathbf{\hat{y}}+c z_{2} \,\mathbf{\hat{z}}$ (1b) Ag II
$\mathbf{B_{3}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+z_{3} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+c z_{3} \,\mathbf{\hat{z}}$ (1c) Ag III
$\mathbf{B_{4}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{2}+z_{4} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{2}b \,\mathbf{\hat{y}}+c z_{4} \,\mathbf{\hat{z}}$ (1d) Sb I

References

  • J. D. Scott, Refinement of the crystal structure of dyscrasite, and its implications for the structure of allargentum, Can. Mineral. 14, 139–142 (1976).

Found in

  • R. T. Downs and M. Hall-Wallace, The American Mineralogist Crystal Structure Database, Am. Mineral. 88, 247–250 (2003).

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=A3B_oP4_25_abc_d --params=$a,b/a,c/a,z_{1},z_{2},z_{3},z_{4}$

Species:

Running:

Output: