GaAs has cubic symmetry, leading to the piezoelectric tensor shown in Table 3.4, with e₄₁ = 1.6×10⁻⁵ C/cm².

The elastic constants of GaAs are C₁₁= 11.8 × 10¹¹ dyne/cm², C₁₂ = 5.3 × 10¹¹ dyne/cm², and C₄₄ = 5.9 × 10¹¹ dyne/cm². For a voltage of 5 V applied in the [100] direction across a slab of GaAs with thickness 1 mm, what strain will be created, assuming there is no applied stress?

Suppose that you want to generate an electric field by applying a stress to a GaAs crystal. What is a possible direction for a stress that would generate an electric field? Can you do this with a stress in the [100] direction? 

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Table 3.4 Piezoeletric tensor for a cubic crystal (T or Ta symmetry) 0 0 0 0 0 0 0 e41 0 0 e41 0 0 0 0 0 0 e41