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More About Electrochemical SPR

In electrochemical SPR, a change in the electrode potential (DV) can shift the resonance angle (DqR), via different effects. Typically these effects include changes in the molecular coverage (Dc), index of refraction (Dn) and average thickness of the adsorbed layer. An additional effect is the potential-induced change in the surface charge density (Ds) of the electrode. These effects can be written as


(1)



where a1, a1, a3 and a4 are constants for a small potential change. The first term in the above equation is due to potential-induced adsorption or desorption. The second term describes changes in the electronic states of the adsorbed layer, which can arise from the Stark effect, structural changes or chemical reactions of the adsorbates. The third term is due to the change in the thickness of the molecular layer due to structural change and piezoelectric effect. The piezoelectric effect is usually a small constant.

The last term is due to potential-induced changes in the dielectric constant of the metal film, em, via the electron density, ne, according to the simple free electron model of metals,


(2)



where e and me are the charge and mass of electron, respectively.
The change of
em due to ne is


(3)



where Dne is related to the potential-induced excess surface charge,
Ds = CDV (C interfacial capacitance) and given by



(4)



where d m is the thickness of the metal film. For a 50 nm silver film, d m = 50 nm, n e = 5.85 x 10 22 /cm 2 , e m = -11.8 and C = 20 m F/cm 2 , it leads to De m ~ -0.002 per volt, corresponding to an angular shift of ~ 0.02º per volt. Since this contribution is proportional to the interfacial capacitance, it decreases when the metal film is covered with molecular adsorbates.

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