Abstract
This chapter introduces the fundamentals of dielectric, mechanical, and electromechanical properties of insulating solids, primarily focusing on ferroelectric and piezoelectric materials, suitable for FBARs. Sections 2.1, 2.2, and 2.3 address these properties, neglecting the energy dissipation associated with AC signals, whereas Sect. 2.4 is reserved for the discussion of effects related to the energy dissipation (e.g. dielectric and acoustic loss).
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Notes
- 1.
Here, this function is called « free energy density » as often done in literature. However, this is a proper name for \( F + P_{i} E_{i} \).
- 2.
Here, a ferroelectric exhibiting two domain states is considered. Hence, Fig. 2.6b gives an example of a multi-domain configuration consisting of two domain states. Often, ferroelectrics exhibit more than two domain states. In this case, the domain configurations can consist of more than two domain states.
- 3.
Such equation is valid for piezoelectrics as well. In this case, it should be derived from the set of electromechanical constitutive equations (2.87) by eliminating the electrical variables \( E \) and \( D \). The additional relationship between these variables needed for such procedure is controlled by the electrical conditions in the medium (e.g., short-circuit).
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Gevorgian, S., Tagantsev, A.K., Vorobiev, A. (2013). Dielectric, Mechanical, and Electromechanical Properties of Ferroelectrics and Piezoelectrics. In: Tuneable Film Bulk Acoustic Wave Resonators. Engineering Materials and Processes. Springer, London. https://doi.org/10.1007/978-1-4471-4944-6_2
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