Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB2C_tI16_139_e_ce_d-003

If you are using this page, please cite:
H. Eckert, S. Divilov, M. J. Mehl, D. Hicks, A. C. Zettel, M. Esters. X. Campilongo and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 4. Submitted to Computational Materials Science.

Links to this page

https://aflow.org/p/00JM
or https://aflow.org/p/AB2C_tI16_139_e_ce_d-003
or PDF Version

BaZnSb$_{2}$ Structure: AB2C_tI16_139_e_ce_d-003

Picture of Structure; Click for Big Picture
Prototype BaSb$_{2}$Zn
AFLOW prototype label AB2C_tI16_139_e_ce_d-003
ICSD 52694
Pearson symbol tI16
Space group number 139
Space group symbol $I4/mmm$
AFLOW prototype command aflow --proto=AB2C_tI16_139_e_ce_d-003
--params=$a, \allowbreak c/a, \allowbreak z_{3}, \allowbreak z_{4}$

Other compounds with this structure

BaCdBi$_{2}$,  BaCdSb$_{2}$,  BaMnSb$_{2}$,  BaZnBi$_{2}$,  SrCdBi$_{2}$,  SrZnBi$_{2}$


  • Many authorities designate SrZnBi$_{2}$ as the prototype for this structure.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $\frac{1}{2} \, \mathbf{a}_{1}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{y}}$ (4c) Sb I
$\mathbf{B_{2}}$ = $\frac{1}{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}$ (4c) Sb I
$\mathbf{B_{3}}$ = $\frac{3}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{4}c \,\mathbf{\hat{z}}$ (4d) Zn I
$\mathbf{B_{4}}$ = $\frac{1}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{4}c \,\mathbf{\hat{z}}$ (4d) Zn I
$\mathbf{B_{5}}$ = $z_{3} \, \mathbf{a}_{1}+z_{3} \, \mathbf{a}_{2}$ = $c z_{3} \,\mathbf{\hat{z}}$ (4e) Ba I
$\mathbf{B_{6}}$ = $- z_{3} \, \mathbf{a}_{1}- z_{3} \, \mathbf{a}_{2}$ = $- c z_{3} \,\mathbf{\hat{z}}$ (4e) Ba I
$\mathbf{B_{7}}$ = $z_{4} \, \mathbf{a}_{1}+z_{4} \, \mathbf{a}_{2}$ = $c z_{4} \,\mathbf{\hat{z}}$ (4e) Sb II
$\mathbf{B_{8}}$ = $- z_{4} \, \mathbf{a}_{1}- z_{4} \, \mathbf{a}_{2}$ = $- c z_{4} \,\mathbf{\hat{z}}$ (4e) Sb II

References

  • E. Brechtel, G. Cordier, and H. Schäfer, Neue ternäre erdalkali-übergangselement-pnictide, J. Less-Common Met. 79, 131–138 (1981), doi:10.1016/0022-5088(81)90057-6.

Found in

  • C. Yi, S. Yang, M. Yang, L. Wang, Y. Matsushita, S. Miao, Y. Jiao, J. Cheng, Y. Li, K. Yamaura, Y. Shi, and J. Luo, Large negative magnetoresistance of a nearly Dirac material: Layered antimonide EuMnSb$_{2}$, Phys. Rev. B 96, 205103 (2017), doi:10.1103/PhysRevB.96.205103.

Prototype Generator

aflow --proto=AB2C_tI16_139_e_ce_d --params=$a,c/a,z_{3},z_{4}$

Species:

Running:

Output: