Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: AB_oI4_44_a_b-001

This structure originally had the label AB_oI4_44_a_b. Calls to that address will be redirected here.

If you are using this page, please cite:
M. J. Mehl, D. Hicks, C. Toher, O. Levy, R. M. Hanson, G. L. W. Hart, and S. Curtarolo, The AFLOW Library of Crystallographic Prototypes: Part 1, Comp. Mat. Sci. 136, S1-S828 (2017). (doi=10.1016/j.commatsci.2017.01.017)

Links to this page

https://aflow.org/p/JZUV
or https://aflow.org/p/AB_oI4_44_a_b-001
or PDF Version

High-pressure GaAs Structure: AB_oI4_44_a_b-001

Picture of Structure; Click for Big Picture
Prototype AsGa
AFLOW prototype label AB_oI4_44_a_b-001
ICSD 43950
Pearson symbol oI4
Space group number 44
Space group symbol $Imm2$
AFLOW prototype command aflow --proto=AB_oI4_44_a_b-001
--params=$a, \allowbreak b/a, \allowbreak c/a, \allowbreak z_{1}, \allowbreak z_{2}$

  • This is a high-pressure phase of GaAs, stable above 24 GPa. The experimental data used here was taken at a pressure of 28.1 GPa. Without loss of generality we can take $z_{1}=0$. When $a=b$ and $z_{2}=z_{1}+1/4$ this structure becomes the $\beta$–Sn (A5) structure.

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $z_{1} \, \mathbf{a}_{1}+z_{1} \, \mathbf{a}_{2}$ = $c z_{1} \,\mathbf{\hat{z}}$ (2a) As I
$\mathbf{B_{2}}$ = $\left(z_{2} + \frac{1}{2}\right) \, \mathbf{a}_{1}+z_{2} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}b \,\mathbf{\hat{y}}+c z_{2} \,\mathbf{\hat{z}}$ (2b) Ga I

References

  • S. T. Weir, Y. K. Vohra, C. A. Vanderborgh, and A. L. Ruoff, Structural phase transitions in GaAs to 108 GPa, Phys. Rev. B 39, 1280–1285 (1989), doi:10.1103/PhysRevB.39.1280.

Found in

  • P. Villars and L. Calvert, Pearson's Handbook of Crystallographic Data for Intermetallic Phases (ASM International, Materials Park, OH, 1991), 2nd edn.

Prototype Generator

aflow --proto=AB_oI4_44_a_b --params=$a,b/a,c/a,z_{1},z_{2}$

Species:

Running:

Output: