The Components indicate different tensors
The tensors have different physical meanings depending on what is being represented.
For stress tensor, the First index stands for surface normal direction, and the Second index stands for the direction of the stress applied on the surface, the value stands for the magnitude of the stress component.
Txx, Tyy, and Tzz stand for the orientation in x, y and z direction, for orientation tensor respectively. The higher the Tii value the higher the orientation in that direction.