MAS.020UF Introduction to Solid State Physics

Point Group

a) Construct the generating matrix for a twofold rotation axis (a rotation of 180°) about the $y$-axis.

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b) Give the two different group elements of this point group.

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c) Pyroelectricity describes how the electric polarization changes as the temperature changes. The pyroelectric coefficients form a rank 1 tensor $\pi_i = \frac{\partial P_i}{\partial T}$ where $P_i$ is the polarization in different crystallographic directions $i$ and $T$ is the temperature. Give the independent tensor elements.

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d) Does such a crystal show piezoelectric properties? Why or why not?

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