Encyclopedia of Crystallographic Prototypes

AFLOW Prototype: A2B_oI12_71_eh_f-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/7HXW
or https://aflow.org/p/A2B_oI12_71_eh_f-001
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UTe$_{2}$ Structure: A2B_oI12_71_eh_f-001

Picture of Structure; Click for Big Picture
Prototype Te$_{2}$U
AFLOW prototype label A2B_oI12_71_eh_f-001
ICSD 403519
Pearson symbol oI12
Space group number 71
Space group symbol $Immm$
AFLOW prototype command aflow --proto=A2B_oI12_71_eh_f-001
--params=$a, \allowbreak b/a, \allowbreak c/a, \allowbreak x_{1}, \allowbreak x_{2}, \allowbreak y_{3}$

  • Data for this structure was taken at 2.7K.

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

Basis vectors

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

References

  • V. Hutanu, H. Deng, S. Ran, W. T. Fuhrman, H. Thoma, and N. P. Butch, Low-temperature crystal structure of the unconventional spin-triplet superconductor UTe$_{2}$ from single-crystal neutron diffraction, Acta Crystallogr. Sect. B 76, 137–143 (2020), doi:10.1107/S2052520619016950.

Prototype Generator

aflow --proto=A2B_oI12_71_eh_f --params=$a,b/a,c/a,x_{1},x_{2},y_{3}$

Species:

Running:

Output: