Linked e-resources
Details
Table of Contents
Preface; Acknowledgments; Contents; 1 Introduction; Abstract; 1.1...Quartz Crystal Resonators; 1.2...Piezoelectric Resonators in Time and Frequency Control; 1.3...The Quartz Crystal Microbalance; 1.4...Operation in the Liquid Phase, Surface Specificity; 1.5...A Quick Tour Through Modeling; 1.5.1 Resonances, Resonators, and the Small Load Approximation; 1.5.2 Wave Equation and Continuity at Interfaces; 1.5.3 The QCM as an Acoustic Reflectometer; 1.5.4 Equivalent Circuits; 1.5.5 Influences of the Electrical Boundary Conditions; 1.5.6 Tensor Form of the Small Load Approximation, Third-Order-Perturbation
1.5.7 Beyond the Parallel-Plate Model1.6...Related Instruments, Combined Instruments; 1.7...Overview of Applications; Glossary; References; 2 Methods of Read-Out; Abstract; 2.1...Oscillator Circuits; 2.2...Impedance Analysis; 2.3...Ring-Down; Glossary; References; 3 Essentials of Viscoelasticity; Abstract; 3.1...General; 3.2...Linearity; 3.3...Spatial Homogeneity; 3.4...Isotropy; 3.5...Incompressibility; 3.6...Time-Domain Experiments; 3.7...Frequency-Domain Experiments, Viscoelastic Dispersion; Glossary; References; 4 Modeling the Resonator as a Parallel Plate; Abstract
4.1...Description of Oscillations with Complex Numbers4.1.1 Euler's Relation and Complex Amplitudes; 4.1.2 Sign Conventions; 4.1.3 Complex Resonance Frequencies; 4.1.4 Parameters Quantifying Damping; 4.2...Acoustic Impedance, Acoustic Wave Impedance, and Acoustic Reflectivity; 4.3...Acoustic Plane Wave Model: Mathematical Form; 4.4...Acoustic Plane Wave Model: Description in Terms of Acoustic Reflectivity; 4.5...Equivalent Electrical Circuits; 4.5.1 The Piezoelectric Transducer; 4.5.2 The Piezoelectric Resonator; 4.5.3 The Four-Element Circuit
4.5.4 The Admittance Circle and the Series Resonance Frequency4.6...The Small Load Approximation; 4.6.1 Derivation of the Small Load Approximation from the Four-Element Circuit; 4.6.2 Area-Averaging, Time-Averaging, and Averaging over Displacement; 4.6.3 Coupled Resonances; 4.7...Appendices; 4.7.1 Broadening of a Resonance Curve by Damping; 4.7.2 Kirchhoff Rules; 4.7.3 The Electromechanical Analogy; 4.7.4 Derivation of the Mason Circuit; Glossary; References; 5 Piezoelectric Stiffening; Abstract; 5.1...General; 5.2...Formal Structure of the Piezoelectric Equations
5.3...Piezoelectric Stiffening of the Parallel-Plate5.3.1 Open-Circuit Condition; 5.3.2 Short-Circuited Electrodes; 5.3.3 Finite Electrical Impedance Between Electrodes; 5.4...Appendix: Voigt Notation; Glossary; References; 6 The Small Load Approximation Revisited; Abstract; 6.1...Small Load Approximation in Tensor Form; 6.1.1 Derivation; 6.1.2 Parallel Plate; 6.1.3 Parallel Plate with Energy Trapping; 6.1.4 The Modal Mass and Limits of the Sauerbrey Equation; 6.1.5 Statistical Weight in Area Averaging; 6.1.6 Parallel Plate with Surface Roughness; 6.1.7 Piezoelectric Stiffening
1.5.7 Beyond the Parallel-Plate Model1.6...Related Instruments, Combined Instruments; 1.7...Overview of Applications; Glossary; References; 2 Methods of Read-Out; Abstract; 2.1...Oscillator Circuits; 2.2...Impedance Analysis; 2.3...Ring-Down; Glossary; References; 3 Essentials of Viscoelasticity; Abstract; 3.1...General; 3.2...Linearity; 3.3...Spatial Homogeneity; 3.4...Isotropy; 3.5...Incompressibility; 3.6...Time-Domain Experiments; 3.7...Frequency-Domain Experiments, Viscoelastic Dispersion; Glossary; References; 4 Modeling the Resonator as a Parallel Plate; Abstract
4.1...Description of Oscillations with Complex Numbers4.1.1 Euler's Relation and Complex Amplitudes; 4.1.2 Sign Conventions; 4.1.3 Complex Resonance Frequencies; 4.1.4 Parameters Quantifying Damping; 4.2...Acoustic Impedance, Acoustic Wave Impedance, and Acoustic Reflectivity; 4.3...Acoustic Plane Wave Model: Mathematical Form; 4.4...Acoustic Plane Wave Model: Description in Terms of Acoustic Reflectivity; 4.5...Equivalent Electrical Circuits; 4.5.1 The Piezoelectric Transducer; 4.5.2 The Piezoelectric Resonator; 4.5.3 The Four-Element Circuit
4.5.4 The Admittance Circle and the Series Resonance Frequency4.6...The Small Load Approximation; 4.6.1 Derivation of the Small Load Approximation from the Four-Element Circuit; 4.6.2 Area-Averaging, Time-Averaging, and Averaging over Displacement; 4.6.3 Coupled Resonances; 4.7...Appendices; 4.7.1 Broadening of a Resonance Curve by Damping; 4.7.2 Kirchhoff Rules; 4.7.3 The Electromechanical Analogy; 4.7.4 Derivation of the Mason Circuit; Glossary; References; 5 Piezoelectric Stiffening; Abstract; 5.1...General; 5.2...Formal Structure of the Piezoelectric Equations
5.3...Piezoelectric Stiffening of the Parallel-Plate5.3.1 Open-Circuit Condition; 5.3.2 Short-Circuited Electrodes; 5.3.3 Finite Electrical Impedance Between Electrodes; 5.4...Appendix: Voigt Notation; Glossary; References; 6 The Small Load Approximation Revisited; Abstract; 6.1...Small Load Approximation in Tensor Form; 6.1.1 Derivation; 6.1.2 Parallel Plate; 6.1.3 Parallel Plate with Energy Trapping; 6.1.4 The Modal Mass and Limits of the Sauerbrey Equation; 6.1.5 Statistical Weight in Area Averaging; 6.1.6 Parallel Plate with Surface Roughness; 6.1.7 Piezoelectric Stiffening