Use Sauerbrey equation explain Δf Vs. analyte concentration

AI Thread Summary
The Sauerbrey equation relates the change in resonance frequency of a quartz crystal to the mass of an analyte adsorbed on its surface, indicating that frequency shifts are directly proportional to the mass change. In a Newtonian liquid, the frequency shift can also be influenced by the liquid's viscosity and shear modulus. The discussion highlights the need to understand how frequency changes correlate with analyte concentration, emphasizing the importance of surface adsorption in this relationship. While the Sauerbrey equation provides a foundational understanding, combining it with adsorption isotherms may offer deeper insights into the concentration effects. Overall, the relationship between Δf and analyte concentration is crucial for accurate measurements in quartz crystal microbalance applications.
Carmen Wong
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1. Explain, using the Sauerbrey equation, how the change in the resonance frequency of a quartz crystal can be related to an analyte concentration


2. Sauerbrey equation:
upload_2015-5-5_1-38-32.png



3. I knew Quartz crystal microbalance work according to the change of frequency after mass loaded, and when working in a Newtonian liquid the corresponding frequency shift is
upload_2015-5-5_1-42-29.png
(Kanazawa and Gordon, 1985), whichηL is the liquid viscosity; andμ is the shear modulus.
But I cannot understand the relation between the change of frequency and the analyte concentration according to the Sauerbrey equation.

thank you for helping
 
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And not through the adsorption isotherm?
 
Borek said:
And not through the adsorption isotherm?
Thank you for replying. It could be relate to the surface adsorption, but must explain according to the Sauerbrey equation.
 
I haven't said "don't use Sauerbrey equation". I said "combine it with an isotherm".
 
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