Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A2B5_tI14_87_d_ah-001

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/4RP0
or https://aflow.org/p/A2B5_tI14_87_d_ah-001
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Ga$_{2}$Te$_{5}$ Structure: A2B5_tI14_87_d_ah-001

Picture of Structure; Click for Big Picture
Prototype Ga$_{2}$Te$_{5}$
AFLOW prototype label A2B5_tI14_87_d_ah-001
ICSD 1085
Pearson symbol tI14
Space group number 87
Space group symbol $I4/m$
AFLOW prototype command aflow --proto=A2B5_tI14_87_d_ah-001
--params=$a, \allowbreak c/a, \allowbreak x_{3}, \allowbreak y_{3}$

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

Basis vectors

Lattice coordinates Cartesian coordinates Wyckoff position Atom type
$\mathbf{B_{1}}$ = $0$ = $0$ (2a) Te I
$\mathbf{B_{2}}$ = $\frac{3}{4} \, \mathbf{a}_{1}+\frac{1}{4} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{y}}+\frac{1}{4}c \,\mathbf{\hat{z}}$ (4d) Ga I
$\mathbf{B_{3}}$ = $\frac{1}{4} \, \mathbf{a}_{1}+\frac{3}{4} \, \mathbf{a}_{2}+\frac{1}{2} \, \mathbf{a}_{3}$ = $\frac{1}{2}a \,\mathbf{\hat{x}}+\frac{1}{4}c \,\mathbf{\hat{z}}$ (4d) Ga I
$\mathbf{B_{4}}$ = $y_{3} \, \mathbf{a}_{1}+x_{3} \, \mathbf{a}_{2}+\left(x_{3} + y_{3}\right) \, \mathbf{a}_{3}$ = $a x_{3} \,\mathbf{\hat{x}}+a y_{3} \,\mathbf{\hat{y}}$ (8h) Te II
$\mathbf{B_{5}}$ = $- y_{3} \, \mathbf{a}_{1}- x_{3} \, \mathbf{a}_{2}- \left(x_{3} + y_{3}\right) \, \mathbf{a}_{3}$ = $- a x_{3} \,\mathbf{\hat{x}}- a y_{3} \,\mathbf{\hat{y}}$ (8h) Te II
$\mathbf{B_{6}}$ = $x_{3} \, \mathbf{a}_{1}- y_{3} \, \mathbf{a}_{2}+\left(x_{3} - y_{3}\right) \, \mathbf{a}_{3}$ = $- a y_{3} \,\mathbf{\hat{x}}+a x_{3} \,\mathbf{\hat{y}}$ (8h) Te II
$\mathbf{B_{7}}$ = $- x_{3} \, \mathbf{a}_{1}+y_{3} \, \mathbf{a}_{2}- \left(x_{3} - y_{3}\right) \, \mathbf{a}_{3}$ = $a y_{3} \,\mathbf{\hat{x}}- a x_{3} \,\mathbf{\hat{y}}$ (8h) Te II

References

  • M. Julien-Pouzol, S. Jaulmes, and F. Alapini, Tellurure de gallium, Acta Crystallogr. Sect. B 33, 2270–2272 (1977), doi:10.1107/S0567740877008152.

Found in

  • H. J. Deiseroth, P. Amann, and H. Thurn, Die Pentatelluride M$_{2}$Te$_{5}$ (M = Al, Ga, In): Polymorphie, Strukturbeziehungen und Homogenitätsbereiche, Z. Anorganische und Allgemeine Chemie 622, 985–993 (1996), doi:10.1002/zaac.19966220611.

Prototype Generator

aflow --proto=A2B5_tI14_87_d_ah --params=$a,c/a,x_{3},y_{3}$

Species:

Running:

Output: