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________________________________________________________________ Experimental Work<br />

it is important to understand the system under investigation, meaning that the electrical elements<br />

need to have a physico-chemical meaning. Table 5.2 shows basic circuit models and their<br />

impedance.<br />

The so-called Randles equivalent circuit is commonly used to model interfacial electrochemical<br />

reactions under semi-infinite linear diffusion control. A constant phase element (CPE) is<br />

commonly used instead of a real capacitor due to frequency capacitance dispersion (Figure 5.9).<br />

The CPE consists of two elements, Q0 that models the capacitance and n that represents the<br />

degree of frequency dispersion with values from 0 to 1, where 1 represents pure capacitive<br />

behavior and 0 pure ohmic resistance.<br />

Figure 5.9. Randles equivalent circuit and corresponding Nyquist plot.<br />

5.12.2 Chronocoulometry for the determination of DNA coverage<br />

Determination of DNA coverage by means of chronocoulometry is based on the determination<br />

of the charge corresponding to the amount of a cationic redox marker ([Ru(NH3)6] 3+ ) noncovalently<br />

bound to DNA strands 75 that is later used to calculate the amount of immobilized<br />

DNA on the electrode surface. Since measurements are performed at low ionic strength (10 mM<br />

PB with 20 mM K2SO4), trivalent [Ru(NH3)6] 3+ can exchange native counterions surrounding<br />

the DNA and non-covalently bind to phosphate residues on DNA strands. To ensure accurate<br />

determination of the amount of DNA strands on the electrode surface, the measurements need<br />

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