At 25C a single-crystal (Single domain) of BaTiO3 is tetragonal, point group 4mm. a. Using Neumann's...

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At 25°C a single-crystal (Single domain) of BaTiO3 is tetragonal, point group 4mm. a. Using Neumann's Law, deduce the dielectric constant matrix. b. Measured values of the dielectric constants are and K₁=4100 K = 160 (X = constant stress) K₁=1970 K3 = 109 (x = constant stress) c. Why is K* different from K? Discuss how they might be measured. d. Plot (K*) as a function of direction, showing the geometric representation. Replot as a quadric surface. At 25°C a single-crystal (Single domain) of BaTiO3 is tetragonal, point group 4mm. a. Using Neumann's Law, deduce the dielectric constant matrix. b. Measured values of the dielectric constants are and K₁=4100 K = 160 (X = constant stress) K₁=1970 K3 = 109 (x = constant stress) c. Why is K* different from K? Discuss how they might be measured. d. Plot (K*) as a function of direction, showing the geometric representation. Replot as a quadric surface.

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