Chemical Oxidative Polymerization of 2-Aminothiazole in Aqueous Solution: Synthesis, Characterization and Kinetics Study

The chemical oxidative polymerization of 2-aminothiazole (AT) was studied in aqueous solution using copper chloride (CuCl2) as an oxidant. The effect of varying the reaction temperature, reaction time and oxidant/monomer molar ratio on the polymer yield was investigated. The resulting poly(2-aminothiazole)s (PATs) were characterized by FTIR, 1H NMR, UV-vis, gel permeation chromatography, scanning electron microscopy, thermogravimetric analysis and four-point probe electrical conductivity measurements. Compared with a previous study, PATs with higher yield (81%) and better thermal stability could be synthesized. The chemical oxidative polymerization kinetics of AT were studied for the first time. The orders of the polymerization reaction with respect to monomer concentration and oxidant concentration were found to be 1.14 and 0.97, respectively, and the apparent activation energy of the polymerization reaction was determined to be 21.57 kJ/mol.


Introduction
Conducting polymers have attracted considerable attention for several decades, among which the most widely studied examples are the heterocyclic polymers, such as polyaniline, polypyrrole and polythiophene [1]. 2-Aminothiazole (AT) is a heterocyclic amine combining the chemical structures of aniline, pyrrole and thiophene. Owing to the existence of sulfur-and nitrogen-rich subgroups, AT and its derivatives demonstrated excellent adsorption properties to heavy metal ions [2][3][4][5][6][7][8]. For example, AT-modified silica gels were able to adsorb and preconcentrate Ni(II), Cu(II), Cd(II), Zn(II) and Pb(II) [7]; also, AT-functionalized polyacrylonitrile and polystyrene exhibited an excellent selectivity for adsorption of Hg(II) and Au(III) ions in aqueous solution [8]. Due to the high sulfur and nitrogen atom molar ratio (30%) in AT molecules, which is much higher than that in aniline (7%) and pyrrole (10%), it is expected that the adsorption capacity of AT would be considerably enhanced after polymerization [9].
In a recent work [21], we described the preparation of PAT by chemical oxidative polymerization using a low amount of copper chloride (CuCl2·2H2O) as an oxidant in aqueous solution (see Scheme 1), which is known as a cheap, non-toxic, and environment-friendly solvent. It is noteworthy that the polymerization was conducted without any acid being added. However, that paper focused on the adsorption properties of PAT for Hg(II) in aqueous solution. In the present work, a systematic investigation of the chemical oxidative polymerization of AT in aqueous solution is reported. The optimal conditions for synthesis were determined by examination of the effect of varying reaction temperature, reaction time, and oxidant/monomer molar ratio on the yield of PAT. The structure, morphology, thermal stability and conductivity of the polymers were investigated. On the other hand, the kinetics of chemical polymerization of pyrrole and aniline have been well studied with a wide range of experimental techniques in the literature [22][23][24][25][26][27][28]. However, as far as we are aware, no study has been undertaken on the kinetics of the chemical polymerization of AT. In this paper, the chemical oxidative polymerization kinetics of AT were studied for the first time. This work lays the foundation for our ongoing research on the preparation of colloidal dispersions of PAT. Scheme 1. Synthetic route to poly(2-aminothiazole) PAT with two tautomeric forms.

Synthesis of PAT
A typical synthesis of PAT was conducted as follows: 4.0 g (40 mmol) of AT monomer and 100 mL of H2O were charged into a 250 mL three-neck flask equipped with a magnetic stirrer, a thermometer, a Graham condenser and a heating mantle. The solution was then stirred and heated to 70 °C, followed by dropwise addition of 20 mL of aqueous solution containing 1.38 g (8 mmol, oxidant/monomer molar ratio of 0.2) of CuCl2·2H2O. The color of the solution changed from pale yellow to brown-black once the oxidant solution was added. The reaction was allowed to proceed for various reaction times. After the reaction, the polymer was washed thoroughly three times with deionized water. All the products were dried in a vacuum oven to constant weight. Polymer yields of the polymerization reaction were calculated based on the method normally used for chemical synthetic conducting polymers by dividing the mass of the original PAT by that of the AT used.

Kinetics Studies
The kinetics of the polymerization were studied by monitoring the PAT concentration in the early stage of the polymerization using a parallel reactor [29]. A series of experiments were conducted at 70 °C at different time intervals (10-110 min) to establish the dependence of the initial polymerization rate (Ri) of AT on monomer concentration (AT) and oxidant concentration (CuCl2). The polymerization reaction order with respect to monomer concentration was determined by conducting the polymerization reaction at different monomer concentrations (AT) (0.1-0.4 mol/L) and a fixed oxidant concentration of 4 mmol/L. The polymerization reaction order with respect to Scheme 1. Synthetic route to poly(2-aminothiazole) PAT with two tautomeric forms.

Synthesis of PAT
A typical synthesis of PAT was conducted as follows: 4.0 g (40 mmol) of AT monomer and 100 mL of H 2 O were charged into a 250 mL three-neck flask equipped with a magnetic stirrer, a thermometer, a Graham condenser and a heating mantle. The solution was then stirred and heated to 70 • C, followed by dropwise addition of 20 mL of aqueous solution containing 1.38 g (8 mmol, oxidant/monomer molar ratio of 0.2) of CuCl 2 ·2H 2 O. The color of the solution changed from pale yellow to brown-black once the oxidant solution was added. The reaction was allowed to proceed for various reaction times. After the reaction, the polymer was washed thoroughly three times with deionized water. All the products were dried in a vacuum oven to constant weight. Polymer yields of the polymerization reaction were calculated based on the method normally used for chemical synthetic conducting polymers by dividing the mass of the original PAT by that of the AT used.

Kinetics Studies
The kinetics of the polymerization were studied by monitoring the PAT concentration in the early stage of the polymerization using a parallel reactor [29]. A series of experiments were conducted at 70 • C at different time intervals (10-110 min) to establish the dependence of the initial polymerization rate (R i ) of AT on monomer concentration (AT) and oxidant concentration (CuCl 2 ). The polymerization reaction order with respect to monomer concentration was determined by conducting the polymerization reaction at different monomer concentrations (AT) (0.1-0.4 mol/L) and a fixed oxidant concentration of 4 mmol/L. The polymerization reaction order with respect to oxidant concentration was determined by conducting the polymerization reaction at different

Characterization
FTIR spectra were recorded on a PerkinElmer Spectrum 100 FTIR spectrometer (PerkinElmer, Waltham, MA, USA) in KBr. 1 H NMR spectra were taken using a BrukerAvance 400 spectrometer (Bruker, Billerica, MA, USA). UV-vis absorption spectra were recorded using a Lambda 750 UV-vis spectrophotometer (PerkinElmer, Waltham, MA, USA) in dimethyl sulfoxide solution. Molecular weight data were obtained by gel permeation chromatograms (GPC, Agilent Technologies, Santa Clara, CA, USA) with an Agilent 1100 system using dimethylformamide as an eluent. The morphology and diameter of the polymer particles were evidenced by scanning electron microscopy (SEM, FEI, Amsterdam, The Netherlands) on a Quanta FEG 450 microscope. Samples were dried and gold-coated prior to examination. Thermogravimetric analysis (TGA) was carried out with a PerkinElmer Pyris 1 TGA apparatus (PerkinElmer, Waltham, MA, USA) in N 2 at a heating rate of 10 • C/min from room temperature to 600 • C. Electrical conductivities were measured under ambient condition using a standard four-probe method on compressed pellets with a probe station CascadeM150 connected to the Keithley 4200 semiconductor analyzer (Keithley Instruments Inc., Cleveland, OH, USA).

Optimization of the Polymerization Conditions
The effects of reaction temperature, time and oxidant/monomer molar ratio on the yield of PAT were studied to optimize the synthesis. Figure 1 presents the effect of polymerization temperature and time on the polymer yields at a fixed oxidant/monomer molar ratio of 0.2. The polymer yield increased substantially with increasing polymerization temperature. Meanwhile, the polymer yield increased with increasing polymerization time from 1 h to approximately 40 h. However, with further increase of the polymerization time to 56 h, the polymer yield increased slightly. Therefore, 70 • C and 48 h were selected as the optimal polymerization temperature and time, respectively. This also suggests that the polymerization probably proceeds via a step-by-step mechanism.

Characterization
FTIR spectra were recorded on a PerkinElmer Spectrum 100 FTIR spectrometer (PerkinElmer, Waltham, MA, USA) in KBr. 1 H NMR spectra were taken using a BrukerAvance 400 spectrometer (Bruker, Billerica, MA, USA). UV-vis absorption spectra were recorded using a Lambda 750 UV-vis spectrophotometer (PerkinElmer, Waltham, MA, USA) in dimethyl sulfoxide solution. Molecular weight data were obtained by gel permeation chromatograms (GPC, Agilent Technologies, Santa Clara, CA, USA) with an Agilent 1100 system using dimethylformamide as an eluent. The morphology and diameter of the polymer particles were evidenced by scanning electron microscopy (SEM, FEI, Amsterdam, The Netherlands) on a Quanta FEG 450 microscope. Samples were dried and gold-coated prior to examination. Thermogravimetric analysis (TGA) was carried out with a PerkinElmer Pyris 1 TGA apparatus (PerkinElmer, Waltham, MA, USA) in N2 at a heating rate of 10 °C/min from room temperature to 600 °C. Electrical conductivities were measured under ambient condition using a standard four-probe method on compressed pellets with a probe station CascadeM150 connected to the Keithley 4200 semiconductor analyzer (Keithley Instruments Inc., Cleveland, OH, USA).

Optimization of the Polymerization Conditions
The effects of reaction temperature, time and oxidant/monomer molar ratio on the yield of PAT were studied to optimize the synthesis. Figure 1 presents the effect of polymerization temperature and time on the polymer yields at a fixed oxidant/monomer molar ratio of 0.2. The polymer yield increased substantially with increasing polymerization temperature. Meanwhile, the polymer yield increased with increasing polymerization time from 1 h to approximately 40 h. However, with further increase of the polymerization time to 56 h, the polymer yield increased slightly. Therefore, 70 °C and 48 h were selected as the optimal polymerization temperature and time, respectively. This also suggests that the polymerization probably proceeds via a step-by-step mechanism.  Figure 2 shows the effects of oxidant/monomer molar ratio and polymerization time on the yield of PAT synthesized at 70 °C. As expected, the polymer yield was improved with increasing oxidant/monomer molar ratio. This is reasonable because a higher oxidant/monomer molar ratio can  Figure 2 shows the effects of oxidant/monomer molar ratio and polymerization time on the yield of PAT synthesized at 70 • C. As expected, the polymer yield was improved with increasing oxidant/monomer molar ratio. This is reasonable because a higher oxidant/monomer molar ratio can generate more radical species, which can accelerate the polymerization reaction and improve the polymer yield. A very high yield of PAT (~81%) was obtained when the polymerization time was 48 h and the oxidant/monomer molar ratio was 0.2, whereas the yield was 78% with FeCl 3 as an oxidant in nitromethane under the same conditions [20]. generate more radical species, which can accelerate the polymerization reaction and improve the polymer yield. A very high yield of PAT (~81%) was obtained when the polymerization time was 48 h and the oxidant/monomer molar ratio was 0.2, whereas the yield was 78% with FeCl3 as an oxidant in nitromethane under the same conditions [20].

Structure and Morphology
The chemical structure of PAT was characterized with FTIR and 1 H NMR spectroscopies (see Figures S1 and S2, respectively). The results are similar to our previous studies [20,21], suggesting that the polymerization was initiated by the oxidation of −NH2. Figure 3 shows the UV-vis spectra of AT and PATs synthesized with different oxidant/solvent systems but under identical other conditions (70 °C, 48 h and oxidant/monomer molar ratio of 0.2). The spectrum of AT showed a peak at 267 nm belonging to the π → π* transition of the thiazole ring. Compared with that of the AT monomer, it is obvious that the spectra of the PATs are considerably red shifted, which is a clear evidence of the formation of conjugation after polymerization [20]. The spectrum of PAT synthesized with CuCl2/H2O not only has a peak at ~267 nm, but also has a broad absorption band at around 450 nm with a long tail extending to 750-800 nm, which could be attributed to the π → π* transition of the conjugated polymer. The onset wavelengths were red shifted with decreasing oxidant/monomer molar ratio from 0.2 to 0.01 (see Figure S3), probably due to the enhanced conjugation length and molecular weight.

Structure and Morphology
The chemical structure of PAT was characterized with FTIR and 1 H NMR spectroscopies (see Figures S1 and S2, respectively). The results are similar to our previous studies [20,21], suggesting that the polymerization was initiated by the oxidation of −NH 2 . Figure 3 shows the UV-vis spectra of AT and PATs synthesized with different oxidant/solvent systems but under identical other conditions (70 • C, 48 h and oxidant/monomer molar ratio of 0.2). The spectrum of AT showed a peak at 267 nm belonging to the π → π* transition of the thiazole ring. Compared with that of the AT monomer, it is obvious that the spectra of the PATs are considerably red shifted, which is a clear evidence of the formation of conjugation after polymerization [20]. The spectrum of PAT synthesized with CuCl 2 /H 2 O not only has a peak at~267 nm, but also has a broad absorption band at around 450 nm with a long tail extending to 750-800 nm, which could be attributed to the π → π* transition of the conjugated polymer. The onset wavelengths were red shifted with decreasing oxidant/monomer molar ratio from 0.2 to 0.01 (see Figure S3), probably due to the enhanced conjugation length and molecular weight. generate more radical species, which can accelerate the polymerization reaction and improve the polymer yield. A very high yield of PAT (~81%) was obtained when the polymerization time was 48 h and the oxidant/monomer molar ratio was 0.2, whereas the yield was 78% with FeCl3 as an oxidant in nitromethane under the same conditions [20].

Structure and Morphology
The chemical structure of PAT was characterized with FTIR and 1 H NMR spectroscopies (see Figures S1 and S2, respectively). The results are similar to our previous studies [20,21], suggesting that the polymerization was initiated by the oxidation of −NH2. Figure 3 shows the UV-vis spectra of AT and PATs synthesized with different oxidant/solvent systems but under identical other conditions (70 °C, 48 h and oxidant/monomer molar ratio of 0.2). The spectrum of AT showed a peak at 267 nm belonging to the π → π* transition of the thiazole ring. Compared with that of the AT monomer, it is obvious that the spectra of the PATs are considerably red shifted, which is a clear evidence of the formation of conjugation after polymerization [20]. The spectrum of PAT synthesized with CuCl2/H2O not only has a peak at ~267 nm, but also has a broad absorption band at around 450 nm with a long tail extending to 750-800 nm, which could be attributed to the π → π* transition of the conjugated polymer. The onset wavelengths were red shifted with decreasing oxidant/monomer molar ratio from 0.2 to 0.01 (see Figure S3), probably due to the enhanced conjugation length and molecular weight.  Compared with that synthesized with FeCl 3 /CH 3 NO 2 , the spectrum of PAT synthesized with CuCl 2 /H 2 O shows a weaker absorption band and a shorter tail, indicating the PAT probably has a longer conjugation length and higher molecular weight. To confirm this possible correlation, the molecular weight of PAT was determined by GPC. The number-average molecular weight (M n ) and weight-average molecular weight (M w ) were 5.90 × 10 3 and 8.12 × 10 3 , respectively, higher than those synthesized with FeCl 3 /CH 3 NO 2 under the same conditions (M n = 4.48 × 10 3 and M w = 7.32 × 10 3 ) [20], respectively. This can be explained by the fact that CuCl 2 is a milder oxidant than FeCl 3 , resulting in a lower rate of polymerization and higher molecular weights.
The morphology of the PAT powder was examined by SEM. As shown in Figure 4, the particles had a granular morphology with an average size of approximately 400 nm. This is the most common morphology observed for conducting polymers, as the typical conditions used for the preparation of conducting polymer by chemical oxidative polymerization involve a high concentration of nucleates that are produced during short induction period [30]. Due to the limited solubility of nucleates in water, they separate from aqueous medium. The random aggregation of nucleates followed by polymer-chain growth thus gives rise to the globular morphology [31]. This concept of morphology formation was proposed for polyaniline but it also seems to be applicable also to related polymers such as polypyrrole and PAT. For example, similar morphology was observed for polypyrrole nanoparticles prepared by oxidative H 2 O 2 initiated polymerization [32]. It should also be mentioned that the mean size of the granules was much larger than that prepared with FeCl 3 /CH 3 NO 2 , indicating that the morphology of the PAT was substantially affected by the oxidant/solvent system. Compared with that synthesized with FeCl3/CH3NO2, the spectrum of PAT synthesized with CuCl2/H2O shows a weaker absorption band and a shorter tail, indicating the PAT probably has a longer conjugation length and higher molecular weight. To confirm this possible correlation, the molecular weight of PAT was determined by GPC. The number-average molecular weight (Mn) and weight-average molecular weight (Mw) were 5.90 × 10 3 and 8.12 × 10 3 , respectively, higher than those synthesized with FeCl3/CH3NO2 under the same conditions (Mn = 4.48 × 10 3 and Mw = 7.32 × 10 3 ) [20], respectively. This can be explained by the fact that CuCl2 is a milder oxidant than FeCl3, resulting in a lower rate of polymerization and higher molecular weights.
The morphology of the PAT powder was examined by SEM. As shown in Figure 4, the particles had a granular morphology with an average size of approximately 400 nm. This is the most common morphology observed for conducting polymers, as the typical conditions used for the preparation of conducting polymer by chemical oxidative polymerization involve a high concentration of nucleates that are produced during short induction period [30]. Due to the limited solubility of nucleates in water, they separate from aqueous medium. The random aggregation of nucleates followed by polymer-chain growth thus gives rise to the globular morphology [31]. This concept of morphology formation was proposed for polyaniline but it also seems to be applicable also to related polymers such as polypyrrole and PAT. For example, similar morphology was observed for polypyrrole nanoparticles prepared by oxidative H2O2 initiated polymerization [32]. It should also be mentioned that the mean size of the granules was much larger than that prepared with FeCl3/CH3NO2, indicating that the morphology of the PAT was substantially affected by the oxidant/solvent system.

Thermal Stability
The TGA curves of PATs synthesized at various oxidant/monomer molar ratios are presented in Figure 5. It is shown that the thermal stability of PATs increased with decreasing oxidant/ monomer molar ratio, indicating that PATs with longer conjugation length and higher molecular weight were formed at a lower oxidant/monomer molar ratio. This is supported by our GPC results, which showed that the Mn values were 5.9 × 10 3 , 26.9 × 10 3 and 199 × 10 3 , at the oxidant/monomer molar ratios of 0.2, 0.1, and 0.02, respectively. For oxidant/monomer molar ratio of 0.01, the GPC data could not be obtained due to the poor solubility of the resulting polymer.

Thermal Stability
The TGA curves of PATs synthesized at various oxidant/monomer molar ratios are presented in Figure 5. It is shown that the thermal stability of PATs increased with decreasing oxidant/ monomer molar ratio, indicating that PATs with longer conjugation length and higher molecular weight were formed at a lower oxidant/monomer molar ratio. This is supported by our GPC results, which showed that the M n values were 5.9 × 10 3 , 26.9 × 10 3 and 199 × 10 3 , at the oxidant/monomer molar ratios of 0.2, 0.1, and 0.02, respectively. For oxidant/monomer molar ratio of 0.01, the GPC data could not be obtained due to the poor solubility of the resulting polymer.
We further compared the initial decomposition temperature of PATs prepared in this work and those prepared with FeCl 3 /CH 3 NO 2 in our previous study [20]. The results are shown in Table 1. Obviously, PATs prepared with CuCl 2 /H 2 O showed much better thermal stability than those prepared with FeCl 3 /CH 3 NO 2 . This could also be ascribed to their longer conjugation length and higher molecular weight, which is in good agreement with our UV-vis and GPC study. We further compared the initial decomposition temperature of PATs prepared in this work and those prepared with FeCl3/CH3NO2 in our previous study [20]. The results are shown in Table 1. Obviously, PATs prepared with CuCl2/H2O showed much better thermal stability than those prepared with FeCl3/CH3NO2. This could also be ascribed to their longer conjugation length and higher molecular weight, which is in good agreement with our UV-vis and GPC study.  Table 2 shows the electrical conductivities of PATs before and after doping with I2. The original PATs showed poor conductive properties (≤1.0 × 10 −13 S/cm). These conductivity values were in very good agreement with previous studies [16,20]. However, the electrical conductivities of PATs could be improved by around 9 orders of magnitude up to 2.1 × 10 −4 S/cm upon I2 doping for 24 h.

Kinetics of Polymerization
We examined how the rate of polymerization of AT was affected by the monomer concentration, the oxidant concentration and the temperature in the early stages of the polymerization.

Effect of Monomer Concentration
Chemical oxidative polymerization of AT was carried out at 70 °C at different monomer concentrations (AT) (0.1-0.4 M) at different time intervals (10-110 min). As shown in Figure 6a, polymer concentration (PAT) was found to vary linearly with time. The initial polymerization rate   Table 2 shows the electrical conductivities of PATs before and after doping with I 2 . The original PATs showed poor conductive properties (≤1.0 × 10 −13 S/cm). These conductivity values were in very good agreement with previous studies [16,20]. However, the electrical conductivities of PATs could be improved by around 9 orders of magnitude up to 2.1 × 10 −4 S/cm upon I 2 doping for 24 h.

Kinetics of Polymerization
We examined how the rate of polymerization of AT was affected by the monomer concentration, the oxidant concentration and the temperature in the early stages of the polymerization. (R i ) at corresponding monomer concentration could be obtained from the slope according to the following equation: where W PAT is the weight of obtained polymer, V is the volume of the reaction mixture in litre, M AT is the molecular weight of the monomer, and t is the time. (Ri) at corresponding monomer concentration could be obtained from the slope according to the following equation: where WPAT is the weight of obtained polymer, V is the volume of the reaction mixture in litre, MAT is the molecular weight of the monomer, and t is the time. Based on the Ri values at different monomer concentrations (AT) obtained from Figure 6a, the relationship between ln Ri and ln (AT) was established, see Figure 6b. The slope of this linear relationship was found to be 1.14 ± 0.03, indicating that the order of the polymerization reaction with respect to the monomer concentration was 1.14 ± 0.03. Thus the initial rate of the polymerization reaction increases with increasing monomer concentration.

Effect of the Oxidant Concentration
Similarly, the chemical oxidative polymerization of AT was carried out at 70 °C at different oxidant concentrations (CuCl2) (0.1-0.4 mol/L) at different time intervals (10-110 min). As shown in Figure 7a, the plot of polymer concentration (PAT) versus t at each (CuCl2) was also found to be linear, and each initial polymerization rate (Ri) was obtained from the slope of the line. Then the relationship between ln Ri and ln (CuCl2) was established, see Figure 7b. The slope of this linear relationship was found to be 0.97 ± 0.05, indicating that the order of the polymerization reaction with respect to the oxidant concentration was 0.97 ± 0.05. Thus the initial rate of polymerization reaction increases with increasing oxidant concentration.  Based on the R i values at different monomer concentrations (AT) obtained from Figure 6a, the relationship between ln R i and ln (AT) was established, see Figure 6b. The slope of this linear relationship was found to be 1.14 ± 0.03, indicating that the order of the polymerization reaction with respect to the monomer concentration was 1.14 ± 0.03. Thus the initial rate of the polymerization reaction increases with increasing monomer concentration.

Effect of the Oxidant Concentration
Similarly, the chemical oxidative polymerization of AT was carried out at 70 • C at different oxidant concentrations (CuCl 2 ) (0.1-0.4 mol/L) at different time intervals (10-110 min). As shown in Figure 7a, the plot of polymer concentration (PAT) versus t at each (CuCl 2 ) was also found to be linear, and each initial polymerization rate (R i ) was obtained from the slope of the line. Then the relationship between ln R i and ln (CuCl 2 ) was established, see Figure 7b. The slope of this linear relationship was found to be 0.97 ± 0.05, indicating that the order of the polymerization reaction with respect to the oxidant concentration was 0.97 ± 0.05. Thus the initial rate of polymerization reaction increases with increasing oxidant concentration. (Ri) at corresponding monomer concentration could be obtained from the slope according to the following equation: where WPAT is the weight of obtained polymer, V is the volume of the reaction mixture in litre, MAT is the molecular weight of the monomer, and t is the time. Based on the Ri values at different monomer concentrations (AT) obtained from Figure 6a, the relationship between ln Ri and ln (AT) was established, see Figure 6b. The slope of this linear relationship was found to be 1.14 ± 0.03, indicating that the order of the polymerization reaction with respect to the monomer concentration was 1.14 ± 0.03. Thus the initial rate of the polymerization reaction increases with increasing monomer concentration.

Effect of the Oxidant Concentration
Similarly, the chemical oxidative polymerization of AT was carried out at 70 °C at different oxidant concentrations (CuCl2) (0.1-0.4 mol/L) at different time intervals (10-110 min). As shown in Figure 7a, the plot of polymer concentration (PAT) versus t at each (CuCl2) was also found to be linear, and each initial polymerization rate (Ri) was obtained from the slope of the line. Then the relationship between ln Ri and ln (CuCl2) was established, see Figure 7b. The slope of this linear relationship was found to be 0.97 ± 0.05, indicating that the order of the polymerization reaction with respect to the oxidant concentration was 0.97 ± 0.05. Thus the initial rate of polymerization reaction increases with increasing oxidant concentration.

Calculation of the Thermodynamic Parameters
To study the effect of polymerization temperature, chemical oxidative polymerizations of AT were further carried out at 50, 60, 70, and 80 • C at a fixed monomer concentration (0.4 mol/L) and a fixed oxidant concentration (0.4 mol/L) at different time intervals (10-110 min). The [PAT]-time curves were shown in Figure 8a, and R i values at different temperatures were obtained from the slope of the lines. Meanwhile, R i could be expressed by the following reaction rate equation: R i = k(AT) 1.14 (CuCl 2 ) 0.97 (2) where k is the reaction rate constant. According to this equation, the values of k at 50, 60, 70 and 80 • C were calculated to be 1.07 × 10 −3 , 1.40 × 10 −3 , 1.70 × 10 −3 and 2.13 × 10 −3 , respectively.

Calculation of the Thermodynamic Parameters
To study the effect of polymerization temperature, chemical oxidative polymerizations of AT were further carried out at 50, 60, 70, and 80 °C at a fixed monomer concentration (0.4 mol/L) and a fixed oxidant concentration (0.4 mol/L) at different time intervals (10-110 min). The [PAT]-time curves were shown in Figure 8a, and Ri values at different temperatures were obtained from the slope of the lines. Meanwhile, Ri could be expressed by the following reaction rate equation: Ri = k(AT) 1.14 (CuCl2) 0.97 (2) where k is the reaction rate constant. According to this equation, the values of k at 50, 60, 70 and 80 o C were calculated to be 1.07 × 10 −3 , 1.40 × 10 −3 , 1.70 × 10 −3 and 2.13 × 10 −3 , respectively. The apparent activation energy (Ea) of the polymerization of AT was calculated according to the following Arrhenius law: where Ea is the activation energy, R is the universal gas constant 8.314 J mol −1 ·K −1 , T is the reaction temperature (K), and A is a constant. The Arrhenius plot of the natural logarithm of k versus the reciprocal of temperature (1/T) for the polymerization of AT is shown in Figure 8b. This plot was linear, indicating that the reaction obeyed the Arrhenius law. The activation energy (Ea) calculated from the slope was 21.57 ± 0.72 kJ/mol. This value is much lower than the activation energy of the initiation step of chemical polymerization of pyrrole in water using the oxidant FeCl3 (79.485 kJ/mol) [28], and the activation energy of chemical polymerization of poly-o-phenylenediamine in aqueous hydrochloric acid solution using K2Cr2O7 as oxidizing agent (63.658 kJ/mol) [29], indicating that the polymerization reaction in this study can be readily achieved. The enthalpy (ΔH) and entropy (ΔS) of activation were calculated by the following Eyring equation [29]: .e Nh − = (4) where N is the Avogadro's number, R is the universal gas constant, and h is Planck's constant. The following equation was further obtained by simple mathematical operations: The apparent activation energy (E a ) of the polymerization of AT was calculated according to the following Arrhenius law: where E a is the activation energy, R is the universal gas constant 8.314 J mol −1 ·K −1 , T is the reaction temperature (K), and A is a constant. The Arrhenius plot of the natural logarithm of k versus the reciprocal of temperature (1/T) for the polymerization of AT is shown in Figure 8b. This plot was linear, indicating that the reaction obeyed the Arrhenius law. The activation energy (E a ) calculated from the slope was 21.57 ± 0.72 kJ/mol. This value is much lower than the activation energy of the initiation step of chemical polymerization of pyrrole in water using the oxidant FeCl 3 (79.485 kJ/mol) [28], and the activation energy of chemical polymerization of poly-o-phenylenediamine in aqueous hydrochloric acid solution using K 2 Cr 2 O 7 as oxidizing agent (63.658 kJ/mol) [29], indicating that the polymerization reaction in this study can be readily achieved. The enthalpy (∆H) and entropy (∆S) of activation were calculated by the following Eyring equation [29]: where N is the Avogadro's number, R is the universal gas constant, and h is Planck's constant.
The following equation was further obtained by simple mathematical operations: The relationship between ln(k/T) versus 1/T is shown in Figure 9, giving a linear relationship with (−∆H)/R as the slope and (ln (R/Nh) + ∆S/R) as the intercept. The values of ∆H and ∆S were The relationship between ln(k/T) versus 1/T is shown in Figure 9, giving a linear relationship with (−ΔH)/R as the slope and (ln (R/Nh) + ΔS/R) as the intercept. The values of ΔH and ΔS were then calculated to be 18.76 ± 0.73 kJ·mol −1 and 244.32 ± 2.16 J·mol −1 ·K −1 , respectively. The positive value of ΔH indicates the reaction is endothermic [29], while the positive value of the ΔS means that the entropy of the transition state is more disordered than the entropy of the reactants [28].

Conclusions
In this work, the chemical oxidative polymerization of AT by CuCl2 in aqueous solution was studied systematically. When the polymerization time was 48 h and the oxidant/monomer molar ratio was 0.2, a very high yield of PAT (~81%) was achieved at 70 °C. In comparison with that prepared using FeCl3 as an oxidant in nitromethane under the same conditions, PAT synthesized with CuCl2/H2O had a higher yield, longer conjugation length and higher molecular weight. The polymer had a granular morphology, which is common for conducting polymers. The thermal stability of PATs increased with decreasing oxidant/monomer molar ratio and the electrical conductivities of PATs could be remarkably improved up to 2.1 × 10 −4 S/cm upon I2 doping for 24 h.
The chemical oxidative polymerization kinetics of AT in the early stage of the polymerization was studied for the first time. The initial rate of polymerization reaction increases with increasing monomer and oxidant concentrations. The exponents of monomer and oxidant were found to be 1.14 and 0.97, respectively, and the apparent activation energy was determined to be 21.57 kJ/mol. This indicates that the polymerization reaction can be readily achieved. Both the enthalpy and entropy of activation were positive, revealing that the reaction is endothermic and the entropy of the transition state is more disordered than the entropy of the reactants.
Supplementary Materials: The following are available online at www.mdpi.com/2073-4360/8/11/407/s1. Figure  S1: FT-IR spectra of AT and PAT; Figure S2: PAT with two tautomeric forms and 1 H NMR spectra of AT and PAT; Figure S3: UV-vis spectra of AT and PAT synthesized with various oxidant/monomer molar ratio.

Conclusions
In this work, the chemical oxidative polymerization of AT by CuCl 2 in aqueous solution was studied systematically. When the polymerization time was 48 h and the oxidant/monomer molar ratio was 0.2, a very high yield of PAT (~81%) was achieved at 70 • C. In comparison with that prepared using FeCl 3 as an oxidant in nitromethane under the same conditions, PAT synthesized with CuCl 2 /H 2 O had a higher yield, longer conjugation length and higher molecular weight. The polymer had a granular morphology, which is common for conducting polymers. The thermal stability of PATs increased with decreasing oxidant/monomer molar ratio and the electrical conductivities of PATs could be remarkably improved up to 2.1 × 10 −4 S/cm upon I 2 doping for 24 h.
The chemical oxidative polymerization kinetics of AT in the early stage of the polymerization was studied for the first time. The initial rate of polymerization reaction increases with increasing monomer and oxidant concentrations. The exponents of monomer and oxidant were found to be 1.14 and 0.97, respectively, and the apparent activation energy was determined to be 21.57 kJ/mol. This indicates that the polymerization reaction can be readily achieved. Both the enthalpy and entropy of activation were positive, revealing that the reaction is endothermic and the entropy of the transition state is more disordered than the entropy of the reactants.
Supplementary Materials: The following are available online at www.mdpi.com/2073-4360/8/11/407/s1. Figure S1: FT-IR spectra of AT and PAT; Figure S2: PAT with two tautomeric forms and 1 H NMR spectra of AT and PAT; Figure S3: UV-vis spectra of AT and PAT synthesized with various oxidant/monomer molar ratio.