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OverviewThe present book provides a detailed account of the fundamental physics, group symmetry, and concepts from elasticity to establish the general properties of mechanical and electromagnetic wave propagation in crystals. The interaction of mechanical fields and electromagnetic waves in the so-called quasistatic approximation allows to determine the complete set governing equations for applications of piezoelectricity in sensors and actuators. The theory puts strong emphasis to the general allowed forms of material tensors (stiffness, permittivity, piezoelectric stress and strain tensors) for the 32 crystal classes in three dimensions. Piezoelectricity is first introduced using a toy model to emphasize the requirement of non-centrosymmetry of a system for the system to be piezoelectric. The book devotes a chapter to flexoelectricity which is another electromechanical effect that recently has attracted substantial interest in nanostructure applications where strain gradients can be large such as in two-dimensional materials applications (graphene-like materials). The last part of the book discusses the modern theory of piezoelectric properties using first-principles atomistic calculations and the use of Berry phases. The Berry phase method is a general method that allows various physical properties of solids to be calculated including flexoelectricity. Other atomistic methods for strain calculations such as the Keating model for cubic structures and the Birman-Nusimovici model for wurtzite hexagonal structures are presented. Strain and piezoelectric properties of zincblende and wurtzite pyramidal quantum-dot structures and their influence for electronic eigenstates are discussed by use of the k.p electronic bandstructure method. Following this, optical properties are derived with emphasis to the influence of piezoelectricity. The last chapter of the book presents another subtle effect, sonoluminescence, displaying the mixture of ultrasonics, usually generated by the piezoelectric effect, thermodynamics of fluids, quantum mechanics, and optics. Key Features: Includes an introduction with basic concepts of sound and vibrations Presents the fundamental theory of polarization and piezoelectricity Explains group symmetry applied to electromechanical system Describes piezoelectricity in novel applications such as nanotechnology, optics, and quantum mechanics Provides examples and computer code throughout the text Full Product DetailsAuthor: Morten Willatzen (CAS (China))Publisher: Institute of Physics Publishing Imprint: Institute of Physics Publishing ISBN: 9780750355551ISBN 10: 0750355557 Publication Date: 31 May 2024 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Forthcoming Availability: In Print Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock. Table of Contents1. Background 2. Simple zero-dimensional oscillator systems 3. Transverse vibrations of strings 4. Vibrations of beams and membranes 5. Vibrations of plates and cylindrical rods 6. Fluid acoustics and dynamics 7. Strain and stress in solids 8. Group symmetry in mechanical systems 9. A toy model of piezoelectricity 10. Piezoelectricity and symmetry 11. Piezoelectric constitutive relations 12. Classical piezoelectric theory and applications 13. Equivalent circuit diagrams of piezoelectric materials 14. Reciprocal piezoelectric transducer systems 15. Ultrasonic motors 16. Nanotechnology piezoelectric theory and applications 17. Modern theory of polarization 18. Piezoelectric cantilevers 19. Piezoelectric properties of nanosystems 20. Piezoelectric two-dimensional materials 21. Flexoelectricity and polarization 22. Piezoelectricity and electronic bandstructure 23. Acoustic and piezoelectric effects on optical properties 24. Acoustic gain in piezoelectric materials 25. Index 26. AppendicesReviewsAuthor Information"Morten Willatzen is Senior Professor of the Beijing Institute of Nanoenergy and Nanosystems as well as a Guest Full Professor of the Technical University of Denmark. He has won numerous awards and published more than 300 papers in international journals. He is the author of two books on ""The k.p Method"" published by Springer and ""Separable Boundary-Value Problems in Physics"" by Wiley. Morten Willatzen is a recipient of the first BHJ Award from the University of Southern Denmark in 2008, A Talent 1000 Foreign Expert, and the Great Wall Friendship Award." Tab Content 6Author Website:Countries AvailableAll regions |