Use Sauerbrey equation explain Δf Vs. analyte concentration

[Carmen Wong]

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:

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

(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

 

[Borek]

And not through the adsorption isotherm?

 

[Carmen Wong]

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.

 

[Borek]

I haven't said "don't use Sauerbrey equation". I said "combine it with an isotherm".