Application of Euler Angles in Materials Science

Orientation contrast image of the surface of a bulk Ga0.01In0.99As crystal.

Crystal structure of Ga0.01In0.99As is “zincblend”.

On page 2 of our article in Physical Review B, we write:

“Full crystallographic orientation data of the domains are obtained by Electron BackScattering Diffraction (EBSD). The orientation of a domain is expressed by three Euler angles , and which describe the relationship between sample reference coordinate x, y, and z and crystallographic coordinate a, b, and c. The measured Euler angles demonstrate that the overall disorientations among the domains are small.”

X

Y

sample reference coordinate system a

b

Domain

Results of Electron BackScattering Diffraction Measurement

7

8 10

119

34 5

6

1