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lemonwolf569Lv1
1 Oct 2020
Copper is cubic, and has tetrad rotation axes parallel to the reference axes x1, x2, and x3.
- Consider the tetrad along x1. Look down this tetrad towards the origin and write down the matrix of direction cosines relating new and old axes for a 90° counterclockwise rotation imposed by this tetrad. What constraints does this symmetry operation place on the second-rank electrical conductivity tensor for copper?
- Starting from the original reference axes, repeat (a) for the tetrad along x2.
- Starting from the original reference axes, repeat (a) for the tetrad along x3.
- Use your results from (a), (b), and (c) to show that the electrical conductivity of single crystals of copper is isotropic.
Copper is cubic, and has tetrad rotation axes parallel to the reference axes x1, x2, and x3.
- Consider the tetrad along x1. Look down this tetrad towards the origin and write down the matrix of direction cosines relating new and old axes for a 90° counterclockwise rotation imposed by this tetrad. What constraints does this symmetry operation place on the second-rank electrical conductivity tensor for copper?
- Starting from the original reference axes, repeat (a) for the tetrad along x2.
- Starting from the original reference axes, repeat (a) for the tetrad along x3.
- Use your results from (a), (b), and (c) to show that the electrical conductivity of single crystals of copper is isotropic.
uddeshya17Lv5
7 Feb 2023