# Spectral and Mechanistic Investigation of Oxidative Decarboxylation of Phenylsulfinylacetic Acid by Cr(VI)

• Subramaniam, Perumal (Research Department of Chemistry, Aditanar College of Arts and Science) ;
• Selvi, Natesan Thamil (Department of Chemistry, Govindammal Aditanar College for Women) ;
• Devi, Soundarapandian Sugirtha (Department of Chemistry, Kamaraj College)
• Accepted : 2014.01.16
• Published : 2014.02.20
• 124 25

#### Abstract

The oxidative decarboxylation of phenylsulfinylacetic acid (PSAA) by Cr(VI) in 20% acetonitrile -80% water (v/v) medium follows overall second order kinetics, first order each with respect to [PSAA] and [Cr(VI)] at constant [$H^+$] and ionic strength. The reaction is acid catalysed, the order with respect to [$H^+$] is unity and the active oxidizing species is found to be $HCrO_3^+$. The reaction mechanism involves the rate determining nucleophilic attack of sulfur atom of PSAA on chromium of $HCrO_3^+$ forming a sulfonium ion intermediate. The intermediate then undergoes ${\alpha}$,${\beta}$-cleavage leading to the liberation of $CO_2$. The product of the reaction is found to be methyl phenyl sulfone. The operation of substituent effect shows that PSAA containing electron-releasing groups in the meta- and para-positions accelerate the reaction rate while electron withdrawing groups retard the rate. An excellent correlation is found to exist between log $k_2$ and Hammett ${\sigma}$ constants with a negative value of reaction constant. The ${\rho}$ value decreases with increase in temperature evidencing the high reactivity and low selectivity in the case of substituted PSAAs.

#### Keywords

Phenylsulfinylacetic acid;Oxidative decarboxylation;Nucleophilic attack of sulfur;Substituent effect

# INTRODUCTION

Despite the vast usage of Cr(VI) for analytical and synthetic purposes,1−3 it is well known for its carcinogenic and mutagenic activity.4−6 Though Cr(VI) is not directly responsible for DNA lesions, its tetrahedral conformation enables its active transport into the cell and generates highly reactive Cr(V), Cr(IV) and free radical intermediates by intracellular reduction capable of damaging DNA.7−9 Several researchers reported the mechanism of DNA damage induced by Cr(VI), but the crucial facets of this mechanism remain essentially unknown. Hence, the mechanistic aspects of reduction of Cr(VI) are of biologically important.

Organic sulfur compounds are model biological reductants. Realizing the biological importance of the interaction between sulfur and chromium, Cr(VI) oxidation of many organic sulfur compounds have been examined.10−13 Depending on the substrate and experimental conditions, different mechanistic pathways have been envisaged for Cr(VI) oxidation reactions: one electron transfer mechanism involving the formation of a cation radical intermediate in the slow step;1415 a two electron transfer mechanism leading to the formation of Cr(IV) intermediate;16 the mechanism involving the formation of a chromate thioester17 and its disproportionation in a slow step;18 the SN2 mechanism involving a nucleophilic attack of sulfur on chromium followed by ligand coupling between S and O;151920 the mechanism which follows Michalies-Menten kinetics with complex formation21 and slow decomposition of the complex. 22 The present study of oxidative decarboxylation of phenylsulfinylacetic acid (PSAA) by Cr(VI) will be of particular interest owing to the application of PSAA in pharmaceutical preparations and in the synthesis of several organic compounds.23−29 The literature survey also reveals that there is no systematic report on the kinetic and mechanistic aspects on the oxidation of phenylsulfinylacetic acid except our recent report30 and hence the title investigation was undertaken to analyze the salient features of the reaction, the effect of substituents on the reaction rate and to arrive at a suitable mechanism.

# EXPERIMENTAL

## Materials

Phenylsulfinylacetic acid and several para- and metasubstituted phenylsulfinylacetic acids were prepared from the corresponding phenylmercaptoacetic acids by controlled oxidation using equimolar quantity of H2O231 and recrystallised from suitable solvents.32 The recrystallised phenylsulfinylacetic acids were dried, melting points were determined and checked with the literature values.32 The purity was also ascertained by LC-MS for all the phenylsulfinylacetic acids. Then they were stored in the vacuum desiccator and used for the kinetic studies. Phenylmercaptoacetic acids required for the synthesis of PSAAs were synthesized by condensing chloroacetic acid (4.7 g in 20 ml of 20% sodium hydroxide) with appropriate thiophenol (0.05 mole) dissolved in 10 ml of 20% sodium hydroxide at 120−130 ℃ for five hours. The phenylmercaptoacetic acids formed were recrystallised from water and their melting points were verified with the literature values.32 Potassium dichromate (Merck), sodium perchlorate (Merck), perchloric acid (Merck) and all other reagents used were of AnalaR grade. Solvents, acetonitrile and water were purified by established procedures.

## Kinetic Measurements

The reactions were carried out under pseudo first order conditions by maintaining [PSAA] » [Cr(VI)] in 20% acetonitrile −80% water (v/v) medium. The progress of the reaction was followed, using Elico Double beam UV-vis Bio-spectrophotometer with an inbuilt thermostat, by monitoring the decrease in absorbance of Cr(VI) at the λmax of 351 nm at definite time intervals.

The spectral changes at different time intervals during the course of the reaction are given in Fig. 1. The pseudo first order rate constant (k1) for each kinetic run is evaluated from the slope of log OD vs time by the method of least squares. The second order rate constant (k2) is calculated from the relation: k2 = k1/[PSAA]. The precision of the k values is given in terms of 95% confidence limits of the student‘s t test.

Figure 1.UV-visible spectra for the kinetic run, [PSAA] = 5.0×10−2 mol dm−3, [Cr(VI)] = 3.0×10−4 mol dm−3, [H+] = 0.75 mol dm−3.

## Stoichiometry and Product Analysis

The stoichiometry of the reaction was determined by taking different ratios of Cr(VI) and PSAA concentrations under the condition [Cr(VI)] » [PSAA]. The estimation of unreacted Cr(VI) in the reaction mixture after completion of the reaction showed that two moles of Cr(VI) reacted with three moles of the substrate.

The reaction mixture in the stoichiometric condition was kept for 48 hours to ensure completion of the reaction. The solvent was then evaporated and extracted with ether. The ether layer was collected, dried over anhydrous sodium sulfate and the ether was removed by evaporation. IR and GC-MS analysis (Supplementary material: Figures S1and S2) of the residue obtained from the ether extract confirm that methyl phenyl sulfone is the only product of the reaction. IR spectrum shows strong bands at 1148 cm−1 and 1290 cm−1 characteristic of symmetric and asymmetric stretching frequencies respectively for >SO2 group.

# RESULTS

The UV-visible spectrum of Cr(III) ion shows two peaks at 410 nm and 580 nm which are attributed to the octahedral transitions, 4A2g(F)→4T1g(F) and 4A2g(F)→4T2g(F) of Cr (III)33−35 whereas that of the reaction mixture after completion of the reaction shows two peaks at 411 nm and 565 nm which confirms the existence of Cr(III) as the final product of Cr(VI). The observed blue shift in λmax value at 580 nm for the product mixture clearly points out that the product Cr(III) exists not as a free state but in the form of complex36−39 with other species, probably with methyl phenyl sulfone.

The overlaid spectra of the reaction in the wavelength range 500−620 nm (Fig. 2) exhibit a delayed increase in OD which is consistent with the formation of Cr(III). The delayed increase in OD in the region 500−620 nm without any isobestic point clearly shows that there are two or more competing reactions involving Cr(III) in the final stage of the reaction.40

Figure 2.UV-visible spectra of the reaction mixture at different time intervals, [PSAA] = 5.0×10−2 mol dm−3, [Cr(VI)] = 3.0×10−4 mol dm−3, [H+] = 0.75 mol dm−3.

Under the experimental condition, [PSAA] » [Cr(VI)], the reaction exhibits first order dependence on Cr(VI) as evidenced by the linear log OD vs time plots even beyond 70% completion of the reaction. However, the calculated pseudo first order rate constants decrease with the increase in Cr(VI) concentrations (Table 1). The reason for this decrease in reaction rate may be due to the dimerization of Cr(VI) followed by decrease in concentration of active species at higher concentrations of Cr(VI).41−44 Karunakaran et al.45 revealed that the increase in [Cr(VI)] may lead to some sort of weak association among the monomers resulting decrease in reactivity.

Table 1.[H+] = 0.75 mol dm−3; I = 0.80 mol dm−3; Solvent = 20% acetonitrile − 80% water (v/v).

A plot of log k1 vs log [PSAA] is linear with unit slope (slope = 1.02 ± 0.01, r = 0.999) indicating that the order with respect to substrate is one. This is further confirmed by the constant second order rate constant values obtained at different initial concentrations of PSAA and the linear plot of k1 against [PSAA] (r = 0.999) which passes through the origin.

The rate constants are found to increase appreciably with increase in the concentration of HClO4 (SupplementarySupplementary material: Table S1). The reaction is first order with respect to hydrogen ion as evidenced from the unit slope of the plot of log k1 vs log [H+] (slope = 0.985 ± 0.04, r = 0.999) and constant value obtained by dividing pseudo first order rate constant by [H+]. The rate dependence on H+ establishes the involvement of protonated chromium species in the reaction.41 The effect of altering ionic strength on the rate of the reaction was investigated by adding sodium perchlorate and there is a slight increase in the rate with the increase in ionic strength of the medium (Supplementary material: Table S1). This could be attributed to the participation of a neutral molecule as one of the reactants in the rate determining step.46

The rate constant increases significantly with the increasing acetonitrile content of the medium (Supplementary material: Table S1) indicating a facile reactivity in the medium of low dielectric constant. The rate enhancement in low dielectric constant medium may be due to an increase in reduction potential of Cr(VI)/Cr(III) couple with increase in acetonitrile content in the medium.4748 The plot of log k1vs 1/dielectric constant is linear (r = 0.997) with a positive slope which indicates that one of the reactants involved in the rate controlling step is cationic in nature.

# SUBSTITUENT EFFECT

As the study of influence of substituents on the rate of reaction often provides an insight into the nature of the transition state and mechanism, the rate constants for the oxidative decarboxylation of several meta- and para-substituted PSAAs are determined at three different temperatures, viz., 10 ℃, 20 ℃ and 30 ℃ and the second order rate constants are listed in Table 2.

Table 2.[XC6H4SOCH2COOH] = 3.0×10−2 mol dm−3, [Cr(VI)] = 3.0×10−4 mol dm−3; [H+] = 0.75 mol dm−3; I = 0.8 mol dm−3; solvent : 40% CH3CN − 60% H2O ( v/v).

The study of substituent effect reveals that electron releasing substituents accelerate the reaction rate while electron withdrawing substituents retard it. The second order rate constants of meta- and para-substituted PSAAs correlate excellently with Hammett substituent constants, σ with negative slope values (Fig. 3).

Figure 3.Hammett plot for the reactions of substituted PSAAs with Cr(VI) at 30 ℃, [XC6H4SOCH2COOH] = 3.0×10−2 mol dm−3, [Cr(VI)] = 3.0×10−4 mol dm−3; [H+] = 0.75 mol dm−3; I = 0.8 mol dm−3; Solvent: 40% CH3CN− 60% H2O (v/v).

The negative reaction constants, ρ support the generation of electron deficient sulfur center in the transition state. The second order rate constant values obtained at three different temperatures for the meta- and para-substituted PSAAs, are employed to get thermodynamic parameters, Δ‡H and Δ‡S from the slope and intercept values of Eyring's plots and are enumerated in Table 2. The data collected in Table 2 shows that the change in substituents in the phenyl group of PSAA has no effect on the enthalpy of activation, (Δ‡H).

A linear relationship between the enthalpies and entropies called the isokinetic relationship, Δ‡H = Δ‡H0 + β‡S, where β is the isokinetic temperature, is valid only if the Petersen’s49 error criteria is satisfied i.e., for a valid relationship between Δ‡H and Δ‡S, the range of observed Δ‡H (Δ‡H) must exceed 2δ (δ is the maximum possible error). In the present series of reactions, although Petersen‘s error criteria is satisfied the plot of Δ‡H vsΔ‡S gives only a fair correlation (r = 0.934). Hence, Exner’s50 plot of log k2 (30 ℃) against log k2 (10 ℃) is made which gives an excellent correlation (r = 0.994). The isokinetic temperature calculated from Exner's plot is 192.4 K, which is below the experimental temperature.

# DISCUSSION

The data in Table 2 demonstrate that the reactivity of PSAA is altered significantly by changing the substituents in the meta- and para-positions of the phenyl ring of PSAA. Also within a given set of substituted PSAAs appreciable increase in reactivity is noted with increase in temperature i.e., the ρ value decreases with increase in temperature. The high reactivity (k2 value) and low selectivity (ρ value) observed at high temperatures in the case of substituted PSAAs prompted to the conclusion that the reactivityselectivity principle (RSP) is in operation in this system. Hence, an attempt has been made to analyse the data by applying the method formulated by Exner51 to verify the operation of RSP. Accordingly the rate data reported in Table 2 is subjected to mathematical treatment using the following equations.

where kFi and kSi are the second order rate constants for the fast and slow reactions i.e., at high and low temperatures respectively. εi is the error of the log kFi versus log kSi correlation, N is the total number of data points and Δ is the mean difference.

In the present system, among the three possible combinations of one fast reaction and one slow reaction at three different temperatures with a series of PSAAs, two combinations viz., 30 ℃ vs 20 ℃ and 20 ℃ vs 10 ℃ meet at a point, Y0, and produce a magic point. The linear correlations obtained using equation (1) is depicted in Fig. 4.

Figure 4.Correlation between log kFi and log kSi (a) 30 ℃ vs 20 ℃; (b) 30 ℃ vs 10 ℃; (c) 20 ℃ vs 10 ℃.

The values of b obtained from equation (1) and Δ calculated from equation (2), for all the three possible combinations of one fast and one slow reaction, are summarized in Table 3. The existence of magic point which is situated on the side of higher reactivity and the observed values of b which are less than unity and not too small values of Δare indication for the operation of a strong RSP51 in the present system. Such type of evidences have been taken for a valid RSP in many cases of salen catalysed oxidation of organic sulfides and sulfoxides by Chellamani et al.52−55

Table 3.Results of correlation between log kFi versus log ksi

The active species involved in the reaction may be Cr(VI) itself or Cr(V) formed as a result of one electron transfer or Cr(IV) as a result of two electron transfer. The absence of absorption at 750 nm, where Cr(V) is the only absorbing species56 rules out Cr(V) as the active species. The insensitivity of rate on added radical scavenger, acrylamide, and Mn2+ ions, scavenger for Cr(IV) rule out the involvement of Cr(V) and Cr(IV) respectively as active species. Hence, the active species in this reaction is assumed to be Cr(VI) itself which exists in aqueous acidic solution in a variety of forms such as H2CrO4, HCrO4− and HCrO3+depending on the pH of the medium. At low concentrations of H+ it was observed that Cr(VI) exists predominantly as the monomer, HCrO4−5758 and at higher concentrations of H+ it mainly exists as HCrO3+.141959 Under the present experimental condition of 0.75 mol dm−3 [H+], HCrO3+ is assumed to be the effective oxidizing species. The positive nature of the oxidizing species is also evident from the positive slope obtained from the dielectric constant studies. The first order dependence of the reaction rate on H+ gives further evidence for the protonated species, HCrO3+.

As the concentration of Cr(VI) is increased, progressively a smaller portion of the HCrO3+ is transformed into Cr2O72− and protonated forms according to the equilibrium (3) and these dimeric forms are the predominant species at concentrations greater than 0.05 M.1960 As Cr2O72−and its protonated forms are poor electrophiles as compared to HCrO3+, this may be the reason for the decrease in rate constants with increasing Cr(VI) concentration.

The spectral change observed in the region of λmaxbetween 230 and 270 nm becomes more important for the mechanistic study of Cr(VI) and sulfur compounds as it gives direct evidence for the existence of bond between chromium and sulfur.61−63 The time-dependent UV-visible spectrum of the reaction (Fig. 1) shows two equally intense absorption bands at 237 nm and 262 nm which have decreasing intensity with time. The decrease in intensity of absorption in this region with time may be due to the weakening of Cr(VI)−S bond as a result of decrease in concentration of PSAA and Cr(VI). The change in the absorption spectra of Cr(VI) with PSAA, the significant hyperchromic shift and the widening of the peak in the region 200−300 nm for the reaction mixture (Fig. 5) confirm the existence of the Cr(VI)−PSAA complex (I) having direct S−Cr bond.61

Figure 5.Absorption spectra of Cr(VI) and reaction mixture, [Cr(VI)] = 3×10−4 mol dm−3; [PSAA] = 5×10−2 mol dm−3; [H+] = 0.75 mol dm−3.

On the basis of the above observed experimental results, the nucleophilic attack of sulfur atom of PSAA on the chromium atom of the oxidizing species, HCrO3+ is proposed as the initial step of the mechanism (Scheme 1). As a result of nucleophilic attack of PSAA, a positive charge is developed on the sulfur center in the transition state (I).

Scheme 1.Oxidative decarboxylation of PSAA by Cr(VI).

The observed substituent effects and negative values of ρ afford positive evidence for the formation of PSAA− Cr(VI) intermediate, (I) and also support its formation as a slow rate determining step. From the above mechanism it is clear that electron releasing substituents in PSAA stabilize the sulfonium ion intermediate, (I) formed in the rate determining step through resonance interaction besides facilitating the nucelophilic attack of PSAA on chromium atom (Eqn. 5). Thus electron releasing groups attached to the phenyl group of PSAA facilitate the formation of intermediate (I) by enhancing the nucleophilic ability of PSAA and thereby the reaction rate. On the contrary, the reverse effects are operating in eqn. (5) by electron withdrawing substituents. Thus one could expect a change in rate from acceleration to retardation, upon changing the substituents from electron releasing to electron withdrawing.

Such type of SN2 nucleophilic attack is evidenced from the insignificant change in reaction rate in the presence of varying concentration of radical scavenger, acrylamide from 0.5×10−2 mol dm−3 to 5.0×10−2 mol dm−3 which also eliminates the possibility of single electron transfer mechanism leading to the formation of organic free radicals. The ρ values observed by altering the electronic nature of substituents in PSAA in this reaction (Table 2) also well agree with the ρ values observed in other SN2 type reactions involving organic sulfur compounds,64−66 thus favouring the proposed mechanism. Generally, single electron transfer processes are characterized by low ρ values.6768 Further, the successful application of reactivity-selectivity principle, which cannot be applied for one electron transfer reactions, strongly supports the SN2 type nucleophilic attack leading to the formation of PSAA−Cr(VI) complex. The existence of PSAA−Cr(VI) complex in the rate determining step but not complete transfer of two electrons from PSAA to Cr(VI) leading to the formation of Cr(IV) in a slow step is also inferred from the absence of any significant change in reaction rate with the addition of Mn2+ (1.0×10−3 mol dm−3to 50×10−3 mol dm−3) to the reaction mixture.

The association of reactant molecules in the rate determining step to form a considerably rigid transition state (intermediate I) with the decrease in degrees of freedom of the molecules is also suggested on the basis of the observed negative entropy of activation values (Table 2). Another observation noted is that, p-Cl PSAA has the lowest negative entropy of activation (−18.57 JK−1 mol−1) in the present series of reactants while p-OCH3 PSAA has the highest value (−54.31 JK−1 mol−1). It is also noted that the calculated entropy of activation for the reaction of PSAA at 20% CH3CN −80% H2O mixture is −19.28 JK−1 mol−1 and that at 40% CH3CN −60% H2O is −24.49 JK−1 mol−1.

The development of positive charge on the sulfur atom of PSAA in the PSAA−Cr(VI) complex (I) facilitates the formation of intermediate (II) by ligand coupling between O and S151942 with the simultaneous Cα−Cβ bond cleavage69leading to the elimination of CO2 in a fast step. The liberation of CO2 during the course of the reaction is confirmed using the method reported by Crossno et al.70 The presence of phenyl group attached to the positively charged sulfur center in (I) further accelerates the formation of intermediate (II). Subsequently, the intermediate (II) undergoes a redox decomposition with a two electron transfer in a fast step that leads to the formation of products, methyl phenyl sulfone and Cr(IV) (Scheme 1). The excellent plots of Hammett correlation obtained between second order rate constants and σ values along with the isokinetic relationship and successful operation of reactivity-selectivity principle unam-biguously prove that all the substituted PSAAs follow the same mechanism in the present reaction series.

The Cr(IV) species formed in this step undergoes disproportionation in the subsequent fast steps leading to the final product Cr(III). Such a sequence of reactions in Cr(VI) oxidations is well known and different ways of disproportionation have been proposed by different researchers. Westheimer60 proposed the following type of disproportionation reaction:Though the oxidation of Cr(IV) by Cr(VI) is thermodynamically unfavourable,71 the transient Cr(IV)-aqua species reacts with Cr(VI) very fast.72 In strongly acidic media, generally Cr(IV) remains as aqua complexes73−76 and hence, in the present study the disproportionation of Cr(IV) follows Westheimer‘s mechanism (Eqs. 7 and 8).

Though the oxidation of Cr(IV) by Cr(VI) is thermodynamically unfavourable,71 the transient Cr(IV)-aqua species reacts with Cr(VI) very fast.72 In strongly acidic media, generally Cr(IV) remains as aqua complexes73−76 and hence, in the present study the disproportionation of Cr(IV) follows Westheimer’s mechanism (Eqs. 7 and 8).

# CONCLUSION

The active oxidizing species of Cr(VI) in the oxidative decarboxylation of PSAA is found to be HCrO3 +. The proposed mechanism involving rate determining nucleophilic attack of sulfur on chromium followed by fast ligand coupling and decarboxylation are in conformity with the product analysis and kinetic studies. An excellent Hammett correlation is obtained for the meta- and para-substituted phenylsulfinylacetic acids. The existence of isokinetic relationship and the operation of structure-reactivity principle confirm that all the meta- and para-substituted phenylsulfinylacetic acids follow the same mechanism.

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