Methods of Read-Out

Johannsmann, Diethelm

doi:10.1007/978-3-319-07836-6_2

Diethelm Johannsmann⁸

Part of the book series: Soft and Biological Matter ((SOBIMA))

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Abstract

Resonance frequency and resonance bandwidth can be interrogated in three different ways, which are based on oscillator circuits, impedance analysis, and ring down. The techniques are described and compared.

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Authors and Affiliations

Institute of Physical Chemistry, Clausthal University of Technology, Clausthal-Zellerfeld, Germany
Diethelm Johannsmann

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Glossary

Variable: Definition (Comments)
B _el: Electrical susceptance
C ₀: Parallel capacitance (see Sect. 4.5.3)
C ₁: Motional capacitance (see Sect. 4.5.3)
el: As a subscript: electrical
f: Frequency
f _osc: Oscillation frequency
f _r: Resonance frequency
f _s: Series resonance frequency (same as resonance frequency in this book)
G _el: Electrical conductance
L ₁: Motional inductance (see Sect. 4.5.3)
R ₁: Motional resistance (see Sect. 4.5.3)
R _L: Load resistance
t: Time
U _~: AC-voltage
Ỹ _el: Electrical admittance (Ỹ _el = G _el + iB _el)
Z̃ _el: Electrical impedance (Z̃ _el = 1/Ỹ _el)
Δ: As a prefix: a shift induced by the presence of a sample
Δf: Shift of resonance frequency (might have been called Δf _r; the index r was dropped for brevity)
ΔΓ: Shift of the half-bandwidth (might have been called ΔΓ_r; the index r was dropped for brevity)
Γ: Half-bandwidth (2πΓ: decay rate in a ring-down experiment)
ω: Angular frequency

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Johannsmann, D. (2015). Methods of Read-Out. In: The Quartz Crystal Microbalance in Soft Matter Research. Soft and Biological Matter. Springer, Cham. https://doi.org/10.1007/978-3-319-07836-6_2

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DOI: https://doi.org/10.1007/978-3-319-07836-6_2
Published: 18 July 2014
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07835-9
Online ISBN: 978-3-319-07836-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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