Electrochemical Study of Esculetin Nitration by Digital Simulation of Cyclic Voltammograms

e reaction of electrochemically generated o-quinones from oxidation of esculetin as Michael acceptor with nitrite ion as nucleophile has been studied using cyclic voltammetry. e reaction mechanism is believed to be EC, including oxidation of catechol moiety of esculetin followed by Michael addition of nitrite ion. e observed homogeneous rate constants (kkobs) for reactions were estimated by comparing the experimental voltammetric responses with the digitally simulated results based on the proposed mechanism. Also the effects of pH and nucleophile concentration on voltammetric behavior and the rate constants of chemical reactions were described.


Introduction
Coumarins are an important group of organic compounds that are made of fused benzene and -pyrone rings.Numerous studies reveal that these compounds have interesting pharmacological and biochemical properties [1][2][3].Esculetin is a coumarin derivative contained in many plants, such as Citrus limonia and Euphorbia lathyris.It has multiple biological activities, including the inhibition of the xanthine oxidize activity [4], platelet aggregation [5], and the induction apoptosis.In addition, esculetin shows antioxidative activity [6,7], an inhibitory effect on the growth of human breast cancer [8].Molecular electrochemistry studies the mechanistic events at or near an electrode on a molecular level, and voltammetry is convenient and the most frequently used technique for this purpose [9].Esculetin has a catechol skeleton in its structure, and electrochemical experiments show that the �rst oxidation of this compound is related to the oxidation of its catechol group [10].Oxidation of catechol derivatives occurs at very low positive potentials, and the product of oxidation is o-quinone.Electrogenerated oquinone is a highly reactive species, which undergoes various following chemical reactions [11].e aim of this work is the kinetic study of esculetin oxidation in the presence of nitrite ion and possibility of its nitration through electrochemical activation.

Experimental
2.1.Apparatus.Cyclic voltammetry was performed using a Behpajoh Model BHP 2061-C potentiostat/galvanostat.In the voltammetry experiments a glassy carbon disc (2 mm diameter) and a platinum wire were used as working and counterelectrodes, respectively.e working electrode potentials were measured versus Ag/AgCl (KCl 3.0 M), all electrodes (working, reference, and counter) from AZAR electrode (Urmia, Iran).

Reagents and Solutions.
All of the experiments were performed with analytical-reagent-grade chemicals purchased from E. Merck.ese chemicals were used without further puri�cation.e stock solutions of the esculetin and sodium nitrite were prepared fresh daily by dissolving the compounds in acetonitrile/water, 20/80, and distilled water, respectively.Samples were prepared by taking the appropriate aliquots from the stock solutions followed by dilution with buffer solutions, pHs 5.0, 6.0, 6.5, and 7.0.e 0.15 M buffered F 2: Cyclic voltammograms of 1.0 mM esculetin in the presence of 5.0 mM nitrite ion, at a glassy carbon electrode, in phosphate buffer solution (pH = 6.0,  = 0.15 M).Scan rates from (a) to (d) are 10, 20, 40, and 80 mVs −1 , respectively.Inset: variation of cathodic-to anodic-peak current ratios versus scan rate.
solutions were prepared based on Kolthoff 's tables [12].e homogeneous rate constants were estimated by analyzing the cyclic voltammetric responses using the simulation CVSIM soware [13].ion at pH 6.0 in the mixture of acetonitrile/water solution.e cyclic voltammogram of esculetin shows one anodic (A 1 ) and corresponding cathodic peaks (C 1 ) with peak current ratio near but less than unity, within two-electron process.e electrode response of esculetin can be related to the transformation of its catechol group to o-quinone and vice versa [10].Figure 1, curve b, shows cyclic voltammogram of 1.0 mM esculetin in the presence of 5.0 mM nitrite ion in the same solution.In this condition, the most important difference between the voltammograms in the presence and absence of nitrite ion is the decrease of the magnitude of cathodic peak (C 1 ) currents.As mentioned above the height of C 1 peak is proportional to the amount of produced o-quinone.Decrease in the C 1 peak currents is indicative of this fact that the oxidized intermediate formed at the surface of electrode is removed by a chemical reaction during the voltammetric experiment.e time scale of a voltammetric experiment is determined by the scan rate.It is an important parameter in the study of homogeneous reactions coupled with electrode reactions [14].Figure 2 shows the effect of potential scan rate on voltammograms of esculetin in the presence of nitrite ion at pH 6.0.It shows that by augmentation of scan rate the height of both anodic and cathodic peaks increases, but the increase in C 1 height is more than expected for simple electrode reaction.On the other hand, the anodicto-cathodic peaks current ratio rises parallel to the increase in scan rate.is is re�ected by the low extent of chemical reaction at the period of recording the cyclic voltammograms at high scan rates.Inset of Figure 2 shows the peak current ratio ( pA / pC ) versus scan rate for a mixture of esculetin and nitrite ion.

Results and Discussion
Also the voltammetric studies were performed at various concentrations of nitrite ion (Figure 3).By increasing the concentration of nitrite ion, the height of cathodic peaks and (2) S 1 their ratio over the A 1 peak are decreased.is is a good criterion for more extent of chemical reaction of o-quinone in the presence of higher concentrations of nitrite ion.
Such behaviors are good criteria for EC mechanism consisting of an electron transfer reaction (E) followed by a chemical reaction (C) [14].According to these results, electrochemical oxidation of esculetin causes formation of related o-quinone that undergoes Michael addition reaction with nitrite ion.It is faster than other secondary reactions and leads to the related nitroderivatives.e oxidation of the product is more difficult than the oxidation of parent molecule and is prevented by virtue of the presence of the electron-withdrawing nitrogroup on catechol ring [15].As shown in Figure 1, a new anodic peak, with more positive peak potential, may be related to the oxidation of the product.e proposed reaction pathway is shown in Scheme 1.
Because of the pH dependence of esculetin oxidation and the possibility of pH dependence of the Michael addition, voltammetric studies have been performed at various pHs values (Figure 4).
In basic solutions, the height of esculetin reduction peak decreases due to some considerable side reactions.ey consist of the intramolecular reaction of hydroxy groups and coupling of anionic forms of esculetin with o-quinones.But the peak current ratio near unity at neutral and acidic solutions can be considered as relative stability of the oquinone [16].erefore, the effect of pH has been studied at pHs lower than 7.0.At the desired neutral and mild acidic solutions and presence of nitrite ion, the peak current ratio is less than unity and decreases with increasing pH.e plot of the current peak ratio versus solution pH is shown in the inset of Figure 4. Nitrite ion is a weak base, and variations of reaction rates with pH are due to protonation of nitrite ion and variation of its percentage [12,17].

Kinetic
Evaluation. e scheme for the electrochemical oxidation of esculetin in the presence of nitrite ion was proposed and tested by diagnostic criteria of cyclic voltammograms.One of the successful methods for obtaining kinetic parameters of the coupled homogeneous reaction is digital simulation [18].e simulation was carried out based on the proposed EC mechanism and assuming semi-in�nite one-dimensional diffusion on a planar electrode.e experimental parameters entered for digital simulation consist of the following: starting potential ( start ), switching potential ( switch ), scan rate (v), half wave potential (E 1/2 ) and analytical concentration of species.e formal potentials were obtained experimentally as midpoint potential between the anodic and cathodic peaks (mid).e transfer coef-�cients () and heterogeneous rate constants for oxidation of esculetin were estimated by experimental working curves [19,20].All these parameters were kept constant, and the observed rate constant of chemical reaction  obs was allowed to change during the �tting processes.e �tting consists of �nding a rate constant for which the differences between the digitally simulated and the experimental data reach the minimum [17].e rate constant of the reaction of the produced quinone from oxidation of esculetin with nitrite ion was estimated for various pHs, nitrite ion concentrations, and scan rates.As shown in Figure 5, there are good agreements between the simulated voltammograms and those obtained experimentally.e observed rate constants of the coupling reaction of oxidized esculetin with nitrite ion at various pHs are presented in Table 1.Based on these results the rate of Also the observed rate constants of reactions were obtained by digital simulation at various concentrations of nitrite ion. Figure 6 shows the plots of  obs as a function of nitrite ion concentration.
e results of simulation at various concentrations of nitrite ion show that the observed rate constants ( obs ) increase linearly as a function of nitrite ion concentrations, which is expected based on voltammetric results.Since where k is the rate constant of reaction, the value of rate constant can be obtained from the slope of the plot in Figure 6.e values of the obtained rate constants (k) at pH 6.0 are 7.7 M −1 s −1 for esculetin.e standard deviations were obtained less than 10% for independent simulations at various conditions.For example, it is 8.9% for four simulations at different scan rates.e rate constant of nitration is considerable at this mild condition.e nitration of aromatic compounds is mostly performed based on their nucleophilicity [21].However, in this work, we investigate nitration of esculetin based on electrophilicity of electrochemically generated o-quinone.e possibility of in situ generation of reactive intermediates and inversion in polarity by transfer of electron at the electrode solution interface has been found considerable attention in various areas of chemistry.

Conclusion
e results of this work show that esculetin is converted to the respective nitro derivative at very mild conditions.e reaction mechanism is formation of reactive o-quinone as the product of two electron oxidation of esculetin and nucleophilic attack of nitrite ion via a Michael addition reaction.It is a good example of in-situ generation of reactive species by electrochemical methods.Proposed mechanism and presence of coupled homogeneous reaction was supported by the analysis of voltammetric responses and diagnostic criteria of cyclic voltammograms.Also the homogeneous rate constant of nitration reaction was obtained based on digital simulation at various conditions.Based on these results the rate of nitration reaction enhance by increasing pH and nitrite ion concentration.e observed rate of nitration has a linear dependence to nitrite ion concentration and the overall reaction order is 1 with respect to [NO 2 − ].

T 1 :
Homogeneous rate constants ( obs ) for esculetin at various pHse observed rate constants in the presence of 1.0 mM nitrite ion.

1 F 5 :
Simulated (doted) and experimental (line) cyclic voltammograms of esculetin in the presence of nitrite ion at (A) (a) pH = 5.0, (b) pH = 6.0 (B) various scan rate; (a) 10, (b) 20 mVs −1 .Nitrite concentration (mol L −1 ) F 6: e plot of the observed rate constants of Michael addition ( obs ) versus nitrite ion concentration at pH 5.reaction enhances at high pH values, which are related to increasing the nitrite ion percentages.