# A Study on Copolymer Systems of Styrene with Diethanolamine Side Group and Methyl Methacrylate

Authors: Aslisah Acikses; Gokce Taskan; Gamze Barim
Journal: Journal of Chemistry
 (2018)

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## Abstract

4-Diethanolaminomethyl styrene (DEAMSt) monomer was prepared by the modification of 4-chloromethyl styrene with diethanolamine. The copolymers in different combinations (0.11, 0.19, and 0.30 by mole) of DEAMSt and methyl methacrylate (MMA) were prepared by free radical polymerization method at 60°C in the presence of 1,4-dioxane and AIBN as initiator. The structures of DEAMSt and DEAMSt-MMA copolymer were characterized by FT-IR and1H-NMR. The glass transition temperature (Tg) of the copolymers was measured by DSC. Thermal decomposition behavior of the copolymers was investigated by TGA. The average molecular weights of the copolymers were determined by GPC. The dye uptaking properties of the copolymers were investigated using bromocresol green. Then, the dielectric constant, dielectric loss factor, and conductivity of copolymers were investigated as a function of temperature and frequency. The activation energies (Ea) of the copolymers were determined by impedance analyzer.


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## Body

## 1. Introduction

The 4-chloromethyl styrene is known as one of the important functional monomers. Since 4-chloromethyl styrene carries an active halogen against the nucleophilic reactant, much work has been done on the modification on chloromethyl group of its homo- and copolymers. In particular, because the amine-modified 4-chloromethyl styrene polymers have the ability to retain moisture, CO2, acidic substances, and metal ions, so much work has been done on this subject [1, 2]. Various graft copolymers have been synthesized by the modification of 4-chloromethyl styrene. The free radical polymerization (SRP) and atom transfer radical polymerization (ATRP) methods were used in the syntheses. The ATRP procedure of 4-chloromethyl styrene makes the addition of a new monomer to a polymer possible [3].The 4-chloromethyl styrene, which has functional structure as both a monomer and an initiator, yields partially branched and hyperbranched structures [4, 5]. Poly(St-co-4-chloromethyl styrene) is convenient to use as a macroinitiator for grafting the monomers such as ethyl methacrylate [6], styrene, and p-acetoxy styrene on the polystyrene chain [7]. A two-armed macroinitiator was prepared by means of poly(St-co-4-chloromethyl styrene), and it had been copolymerized with isobornyl acrylate via ATRP [3]. The modifications of poly(4-chloromethyl styrene) were carried out using PS-imidazole, PS-diethanolamine, PS-piperazine, and PS-dimethylamine [8]. The polystyrene-based terpyridine polymer was prepared from 4-chloromethyl styrene [9].This manuscript focuses mainly on thermal characterization, electrical properties, and adsorption kinetics of a series copolymer systems containing DEAMSt and MMA. The changes in the physical and chemical behaviors due to increasing in the -OH and amine groups, which are found in the DEAMSt moieties in the copolymer systems, were especially investigated and how the electrical properties of the copolymers change depending on the increase in DEAMSt was investigated. In this context, series copolymer systems containing methyl methacrylate (MMA) and DEAMSt synthesized by the modification of 4-chloromethyl styrene with diethanolamine were prepared by free radical polymerization. The structural characterization of the products was carried out by FT-IR and1H-NMR, and the other properties were investigated by TGA, DSC, GPC, and impedance analyzer. The adsorption kinetics of the copolymers were studied by UV.


## 2. Materials and Methods

### 2.1. Materials

4-Chloromethyl styrene (CMS) and methyl methacrylate (MMA) (Aldrich) were distilled under vacuum before use. Diethanolamine (DEAM), tetrahydrofuran (THF), N,N-dimethylformamide (DMF), 2,2′-azobisisobutyronitrile (AIBN), ethyl alcohol (Fluka), n-hexane, 1,4-dioxane, dichloromethane, sodium bicarbonate (NaHCO3), sodium hydroxide (NaOH), and bromocresol green (BCG) were used as received without any further purification.


### 2.2. Characterization Techniques

The structure of the monomer and copolymers was characterized by a Perkin-Elmer Spectrum One FT-IR and a 400 MHz Avance III Bruker1H-NMR Spectrometer, using D-chloroform as a solvent. The calorimetric measurements were performed using Shimadzu DSC-50 thermal analyzer with the heating rate of 20°C/min under N2 flow. The thermal behaviors were investigated using a Shimadzu TGA-50 thermobalance with a heating rate of 10°C/min under N2 flow. The average molecular weights of the copolymers were measured using an Agilent 1100 series Gel Permeation Chromatography (GPC). The measurements were carried out at 25°C using RI detector at 1 mL/min solvent flow rate and used the polystyrene as standard and THF as a solvent. The dye uptake properties of the obtained copolymers were investigated using a T80+ UV/VIS spectrophotometer. Bromocresol green (BCG) was used as an adsorbent. The dye uptake properties were studied at room temperature (pH = 3.8–5.5 and λmax = 350 nm). The electrical measurements were carried out at 298 K and 423 K with a QuadTech 7600 precision LRC Meter impedance analyzer over the frequency range between 100 Hz and 2 kHz.


### 2.3. Modification of 4-Chloromethyl Styrene (CMS) with Diethanolamine (DEAM)

The modification of 4-chloromethyl styrene with diethanolamine was carried out according to the method adapted from the literature [7, 10]. For this purpose, 10 g (0.065 mol) of 4-chloromethyl styrene was placed into a 100 mL three-necked reaction flask and dissolved in 10 mL THF and 20 mL DMF solvent mixture. Then, 10 g (0.098 mol) NaHCO3 and 13.6 g (0.120 mol) diethanolamine were added to the solution. The hydroquinone (ppm level) was added to the mixture in order to prevent polymerization. The solution was stirred and heated for 24 h at 85°C under reflux. After the completion of the reaction, the mixture was washed with an aqueous solution of NaOH (5% by weight) in order to remove hydroquinone. The reaction mixture was cooled to room temperature and filtered. The filtrate was dried over anhydrous MgSO4 and the solvent was removed by rotary evaporator (Figure 1). The boiling point of DEAMSt could not be observed due to polymerization of the monomer at 1 atmosphere pressure. The yield of DEAMSt monomer was estimated as 49% (by weight). The structure of the modified monomer was characterized by FT-IR and 1H-NMR (Figures 2 and 3).Figure 1
Synthesis reaction of DEAMSt monomer.Figure 2
The FT-IR spectrum of DEAMSt monomer.Figure 3
The1H-NMR spectrum of DEAMSt monomer.


### 2.4. The Copolymerization of Modified DEAMSt with Methyl Methacrylate (MMA)

The synthesis of copolymers was carried out by free radical polymerization method. DEAMSt and MMA monomers were placed into three different polymerization tubes. For this purpose, three different reaction tubes were prepared (first tube: 0.442 g (0.002 mol) DEAMSt, 1.800 g (0.018 mol) MMA, and 0.022 g AIBN; second tube: 0.884 g (0.004 mol) DEAMSt, 1.600 g (0.016 mol) MMA, and 0.003 g AIBN; third tube: 0.326 g (0.006 mol) DEAMSt, 1.400 g (0.014 mol) MMA, and 0.014 g AIBN) in which 1,4-dioxane was used as solvent and AIBN was used as initiator. Each mixture was passed from argon gas flows for 10 min. Every tube of polymerization was closed, and the mixture of monomers was polymerized within a thermostated oil bath at 60°C for 24 h. The prepared copolymers were diluted with dichloromethane solvent, and they were precipitated within n-hexane. The synthesized copolymers were dried at 40°C under vacuum (Figure4). The structure of P(DEAMSt-co-MMA) was characterized by FT-IR and 1H-NMR.Figure 4
Synthesis reaction of P(DEAMSt-co-MMA).


## 2.1. Materials

4-Chloromethyl styrene (CMS) and methyl methacrylate (MMA) (Aldrich) were distilled under vacuum before use. Diethanolamine (DEAM), tetrahydrofuran (THF), N,N-dimethylformamide (DMF), 2,2′-azobisisobutyronitrile (AIBN), ethyl alcohol (Fluka), n-hexane, 1,4-dioxane, dichloromethane, sodium bicarbonate (NaHCO3), sodium hydroxide (NaOH), and bromocresol green (BCG) were used as received without any further purification.


## 2.2. Characterization Techniques

The structure of the monomer and copolymers was characterized by a Perkin-Elmer Spectrum One FT-IR and a 400 MHz Avance III Bruker1H-NMR Spectrometer, using D-chloroform as a solvent. The calorimetric measurements were performed using Shimadzu DSC-50 thermal analyzer with the heating rate of 20°C/min under N2 flow. The thermal behaviors were investigated using a Shimadzu TGA-50 thermobalance with a heating rate of 10°C/min under N2 flow. The average molecular weights of the copolymers were measured using an Agilent 1100 series Gel Permeation Chromatography (GPC). The measurements were carried out at 25°C using RI detector at 1 mL/min solvent flow rate and used the polystyrene as standard and THF as a solvent. The dye uptake properties of the obtained copolymers were investigated using a T80+ UV/VIS spectrophotometer. Bromocresol green (BCG) was used as an adsorbent. The dye uptake properties were studied at room temperature (pH = 3.8–5.5 and λmax = 350 nm). The electrical measurements were carried out at 298 K and 423 K with a QuadTech 7600 precision LRC Meter impedance analyzer over the frequency range between 100 Hz and 2 kHz.


## 2.3. Modification of 4-Chloromethyl Styrene (CMS) with Diethanolamine (DEAM)

The modification of 4-chloromethyl styrene with diethanolamine was carried out according to the method adapted from the literature [7, 10]. For this purpose, 10 g (0.065 mol) of 4-chloromethyl styrene was placed into a 100 mL three-necked reaction flask and dissolved in 10 mL THF and 20 mL DMF solvent mixture. Then, 10 g (0.098 mol) NaHCO3 and 13.6 g (0.120 mol) diethanolamine were added to the solution. The hydroquinone (ppm level) was added to the mixture in order to prevent polymerization. The solution was stirred and heated for 24 h at 85°C under reflux. After the completion of the reaction, the mixture was washed with an aqueous solution of NaOH (5% by weight) in order to remove hydroquinone. The reaction mixture was cooled to room temperature and filtered. The filtrate was dried over anhydrous MgSO4 and the solvent was removed by rotary evaporator (Figure 1). The boiling point of DEAMSt could not be observed due to polymerization of the monomer at 1 atmosphere pressure. The yield of DEAMSt monomer was estimated as 49% (by weight). The structure of the modified monomer was characterized by FT-IR and 1H-NMR (Figures 2 and 3).Figure 1
Synthesis reaction of DEAMSt monomer.Figure 2
The FT-IR spectrum of DEAMSt monomer.Figure 3
The1H-NMR spectrum of DEAMSt monomer.


## 2.4. The Copolymerization of Modified DEAMSt with Methyl Methacrylate (MMA)

The synthesis of copolymers was carried out by free radical polymerization method. DEAMSt and MMA monomers were placed into three different polymerization tubes. For this purpose, three different reaction tubes were prepared (first tube: 0.442 g (0.002 mol) DEAMSt, 1.800 g (0.018 mol) MMA, and 0.022 g AIBN; second tube: 0.884 g (0.004 mol) DEAMSt, 1.600 g (0.016 mol) MMA, and 0.003 g AIBN; third tube: 0.326 g (0.006 mol) DEAMSt, 1.400 g (0.014 mol) MMA, and 0.014 g AIBN) in which 1,4-dioxane was used as solvent and AIBN was used as initiator. Each mixture was passed from argon gas flows for 10 min. Every tube of polymerization was closed, and the mixture of monomers was polymerized within a thermostated oil bath at 60°C for 24 h. The prepared copolymers were diluted with dichloromethane solvent, and they were precipitated within n-hexane. The synthesized copolymers were dried at 40°C under vacuum (Figure4). The structure of P(DEAMSt-co-MMA) was characterized by FT-IR and 1H-NMR.Figure 4
Synthesis reaction of P(DEAMSt-co-MMA).


## 3. Results and Discussion

### 3.1. The Characterization of Modified DEAMSt Monomer and P(DEAMSt-co-MMA)

The 4-diethanolaminomethyl styrene was prepared from the modification of 4-chloromethyl styrene with diethanolamine. The copolymers of the modified styrene monomer and methyl methacrylate in various combinations (11, 19, and 30% by mole) were prepared by free radical polymerization method. In the FT-IR spectrum of the modified DEAMSt monomer (Figure2), the -OH stretching vibration at 3400 cm−1, the aromatic C-H stretchings at 3082–3050 cm−1, the aliphatic C-H stretchings at 2920–2850 cm−1, the C=C double bond stretching on aromatic ring at 1600 cm−1, the aromatic C-H bending at 1490 cm−1, the aliphatic C-H bending at 1450–1370 cm−1, the -C-N vibration bending at 1386, 1100–1250 cm−1, and the C-H plane bending vibration at 690–830 cm−1 are the characteristic peaks for the structure. The structure of 4-chloromethyl styrene performed in the previous studies in our laboratory [3, 11] was characterized by FT-IR, and the -CH2-Cl and -C-H bending vibrations at 1265 cm−1 and the C-Cl stretching at 673 cm−1 were observed. Additionally, the 1H-NMR spectrum showed the signals at 4.5 ppm for -CH2-Cl protons. The FT-IR spectrum of the DEAMSt monomer showed a broad -OH band at 3400 cm−1, the disappearance of the -CH2-Cl bending vibration at 1265 cm−1, and the disappearance of the C-Cl stretching at 673 cm−1, and a new broad peak appeared at 1070 cm−1 which is characteristic for C-O bonding and indicates that the structure was formed successfully [12]. The 1H-NMR spectrum of the DEAMSt monomer (Figure 3) showed the aromatic ring protons at 7.38–7.30 ppm, phenyl-CH2-N and -CH2-O protons at 3.69 ppm, -CH2 protons next to nitrogen (N-CH2) at 2.89 ppm, cis-trans -CH2 protons at 5.23–5.73 ppm, and -CH2 and -CH protons at 2.2–1.8 ppm on the main chain. The signals at 8.00 and 2.89–2.96 ppm belong to the solvent (DMF), which can not be removed from the medium.The FT-IR spectra of the copolymers in different combinations [P(DEAMSt0.11-co-MMA), P(DEAMSt0.19-co-MMA), and P(DEAMSt0.30-co-MMA)] are showed in Figure5. The significant bands in the spectra are -OH stretching vibration peak at 3456 cm−1, the aromatic -C-H stretching peak at 3000–3050 cm−1, the aliphatic -C-H stretching peak at 2950 cm−1, the -OC=O carbonyl peak in the MMA unit at 1729 cm−1, the aromatic C=C bond stretching at 1600 cm−1, the aromatic C-H bending at 1490–1510 cm−1, and the aliphatic C-H bending at 1447 cm−1, and at 1148 and 1250 cm−1 a wide peak of C-N vibrations was observed.Figure 5
FT-IR spectra of (a) P(DEAMSt0.11-co-MMA), (b) P(DEAMSt0.19-co-MMA), and (c) P(DEAMSt0.30-co-MMA).The1H-NMR spectra of the prepared copolymers in different combinations are given in Figure 6. In the 1H-NMR spectrum, the aromatic ring protons at 6.9–7.2 ppm, the -OCH3 protons in the MMA units, the phenyl-CH2-N and -CH2-O protons at 3.6 ppm, -N-CH2 proton at 2.8 ppm, the -CH2 and -CH protons in the polymeric chain at 1.1–2.1 ppm are important signals, and the -CH2-Cl signal at 4.5 ppm disappeared after the modification of 4-chloromethyl styrene with diethanolamine. The new signals at 3.6 ppm and at 2.8 ppm corresponding to the bonded phenyl -CH2-N and -CH2-O protons and next to nitrogen -CH2 proton are characterizing the structure of P(DEAMSt-co-MMA).Figure 6
1H-NMR spectra of (a) P(DEAMSt0.11-co-MMA), (b) P(DEAMSt0.19-co-MMA), and (c) P(DEAMSt0.30-co-MMA).
(a) (b) (c)The combination of the copolymers was estimated from the1H-NMR spectra. For this purpose, the considerable integral heights of the aromatic ring protons (6.8–7.5 ppm) and integral heights of the aliphatic protons (0.6–2.2 ppm) on the main chain of copolymer were utilized to calculate the percentage combinations of DEAMSt and MMA. The composition of the copolymers was calculated by means of the following equations.(1)Aromatic protons integral heightsAliphatic protons integral heights=4m13m1+5m2,m1+m2=1.Here,m1 is the mole fraction of the (DEAMSt); m2 is the mole fraction of the MMA.The composition of the DEAMSt-MMA copolymer systems was estimated as DEAMSt0.11, MMA0.89; DEAMSt0.19, MMA0.81; DEAMSt0.30, MMA0.70. The feed ratios of DEAMSt in copolymerization are 0.10, 0.20, and 0.30 by mole. On the other hand, units of DEAMSt after copolymerization are 0.11, 0.19, and 0.30 by mole. This means that reactivity of monomers is almost the same as each other.The average molecular weights and polydispersities of the copolymers were estimated by GPC technique and the results were summarized in Table1. Polydispersities of copolymers prepared by free radical polymerization method showed the formation of chains with narrow molecular structure.Table 1
The average molecular weights and polydispersities of P(DEAMSt-co-MMA).
Copolymer M n M w H I (=Mw/Mn) P(DEAMSt0.11-co-MMA) 7.63 × 103 7.73 × 103 1.02 P(DEAMSt0.19-co-MMA) 7.91 × 103 8.01 × 103 1.01 P(DEAMSt0.30-co-MMA) 7.69 × 103 7.78 × 103 1.01


### 3.2. Thermal Characterization

The glass transition temperatures (Tg) for different combinations of P(DEAMSt-co-MMA) and P(DEAMSt) were determined from the differential scanning calorimetry (DSC) curves (Figure 7) and the Tg values of the obtained homopolymer and copolymers are given in Table 2. The DSC measurements were carried out at 200°C under N2 flow with a heating rate of 20°C/min. All the copolymers and homopolymer showed a single transition and have homogeneous phase distribution. The glass transition temperature (Tg) of P(DEAMSt) was measured at 80°C. The Tg values of P(DEAMSt0.11-co-MMA), P(DEAMSt0.19-co-MMA), and P(DEAMSt0.30-co-MMA) were measured as 113, 105, and 93°C, respectively. The Tg values of the copolymers containing DEAMSt are 113°C for P(DEAMSt0.11-co-MMA) and 93°C for P(DEAMSt0.30-co-MMA). The increasing amount of DEAMSt units in the copolymer decreased the Tg value and the Tg value was getting close to that of P(DEAMSt) (Tg= 80°C). In this case, the increase of the DEAMSt units in the structure of the copolymer increased the chain flexibility and free volumes and the Tg decreased. This is probably due to a group with bulking such as diethanol amine on the DEAMSt moieties [3]. The revealing results consisted of the results recorded in the literature [3, 13].Table 2
TGA and DSC results of the P(DEAMSt) and P(DEAMSt-co-MMA).
Polymer systems T g (°C) Initial decomposition temp. (°C) Final decomposition temp. (°C) 50% weight loss temp (°C) (%) residue at 500 (°C) P(DEAMSt0.11-co-MMA) 113 213 409 338 8 P(DEAMSt0.19-co-MMA) 105 219 410 329 14 P(DEAMSt0.30-co-MMA) 93 228 400 339 7 P(DEAMSt) 80 229 410 340 19Figure 7
DSC curves of (a) P(DEAMSt), (b) P(DEAMSt0.11-co-MMA), (c) P(DEAMSt0.19-co-MMA), and (d) P(DEAMSt0.30-co-MMA).To examine the thermal behaviors of the P(DEAMSt) and copolymers, the TGA curves (Figure8) were recorded. For this purpose, the TGA measurements were carried out by heating up to 500°C under N2 flow at 10°C/min heating rate, and the results are given in Table 2. In Table 2 have been submitted the initial and final decomposition temperatures, the temperature at 50% weight loss, the Tg value, and % residue at 500°C for the polymers.Figure 8
TGA curves of P(DEAMSt) and P(DEAMSt-co-MMA).The thermal degradation behavior of all polymers showed single stage. The initial decomposition temperatures of the P(DEAMSt-co-MMA) with various DEAMSt contents of 0.11, 0.19, and 0.30 were measured as 213, 219, and 228°C and the final decomposition temperatures were 409, 410, and 400°C, respectively. According to the obtained data, the thermal stability increased by the increasing amount of DEAMSt units in the copolymer structure. The decomposition temperatures at 50% weight loss were measured as 338, 329, and 339°C, and it was obvious that this value increased by the increasing amount of DEAMSt units. The highest % residue amount at 500°C was observed for the P(DEAMSt). The initial and final decomposition temperatures of the homopolymer are higher than those of the copolymers. All these results indicate the high thermal stabilities of P(DEAMSt). The weight reductions seen in the TGA curves are resulting from some impurities, from solvent residue, and from moisture although polymers are dried for long durations.


### 3.3. Adsorption Studies of Copolymers

The dye uptake properties of the modified DEAMSt with MMA in different combinations were investigated. Bromocresol green (BCG) was used as an adsorbent. The dye uptake properties were studied at room temperature (298 K) and at pH = 3.8–5.5. For this purpose, the dye solution was prepared by dissolving BCG (0.035 g) in 500 mL water. Then, in the dye adsorption experiments, 0.1 g of polymer samples was added onto 5 mL portions of BCG solution and the absorbance was measured at different times and temperatures (25, 45, 55, and 65°C) by diluted samples periodically. The absorbance measurements were carried out by UV-visible spectrophotometer atλmax = 350 nm. The calibration curve was prepared previously and the amount of BCG absorbed on the polymers was calculated by the following equation [14].(2)The dye adsorptionQe=Co-C·V·KWg.Co is the initial concentration of dye solution.K is the amount of dilution.C is the final concentration of the dye solution.V is the volume of dye solution.Wg is the weight of polymer.To determine the physical and chemical adsorption amounts, the painted polymers were washed twice with 5 mL of ethyl alcohol. The absorption was measured by UV-visible spectrophotometer atλmax = 350 nm. The dye amount was found by utilizing the calibration curve. The amount of substance extracted by ethylalcohol, the physical and chemical adsorption quantities, was determined after the washing process.(3)Amount of substance extracted by alcohol (physical adsorption)=C·V·KWg,Chemical adsorption (mg dye/g polymer)=Ct-Cf.C is the concentration of dye solution.V is the volume of alcohol used for washing.Ct is the total amount of dye that holds the polymer.Cf is the alcohol outgoing amount of dye.Then, the adsorption kinetics of the P(DEAMSt-co-MMA) with different compositions were investigated. The following equations were used to determine the adsorption rates [15].First-order rate adsorption equation (Lagergren equation) is(4)logge-gt=log⁡ge-k1·t2,303.Pseudo-second-order rate adsorption equation is(5)1qt=1k2·qe2+1qe·t.k1 is the first-order adsorption rate constant (time−1).k2 is the pseudo-second-order adsorption rate constant (mg/g·time).qe is the amount of adsorbed substance at equilibrium (mg/g).qt is the amount of the adsorbed substance at any time.The obtainedlog⁡(qe-qt) and t/qt values at different times (t) were calculated graphically to find the k1 and k2 values.The change in the dye uptake (BCG) of the copolymers versus time is seen in Figure9. As it can be seen in the graphs, the BCG uptake capacity of the copolymers was almost fixed in 60 minutes.Figure 9
The time change depending on dye uptake quantity of P(DEAMSt-co-MMA).Then, the dye uptake capacity of the copolymers was examined at different temperatures for the constant duration of 30 minutes. The results were given in Table3.Table 3
The dye uptake amount of P(DEAMSt -co-MMA) in different temperatures.
Polymer P(DEAMSt0.11-co-MMA) P(DEAMSt0.19-co-MMA) P(DEAMSt0.30-co-MMA) Temperature (°C) 25 45 55 65 25 45 55 65 25 45 55 65 Dye adsorption(mg dye/g polymer) 28.3 20.8 20.5 20.4 24.1 21.5 21.4 21.3 23.5 21.6 21.5 21.4As seen in Table3, the dye uptake capacities for P(DEAMSt0.11-co-MMA) at different temperatures such as 25, 45, 55, and 65°C were calculated as 28.3, 20.8, 20.5, and 20.4 mg dye/g polymer, respectively. According to these results, the dye uptake capacity values decreased with increasing temperature. Because the adsorption process usually is an exothermic phenomenon, the adsorption increases with decreasing in temperature. The similar results were observed for the other two copolymers and this indicates that the process is physical adsorption.Then, the dye uptaking copolymers were washed twice with 10 mL of ethylalcohol and the dye amounts in alcohol were measured. The dye quantities of alcohol were determined by UV device atλmax = 350 nm at different temperatures such as 25, 45, and 65°C. The physical and chemical adsorption values were determined using (3). The obtained results are given in Table 4. As can be seen from Table 4, the physical adsorption process occurred for the copolymers with different combinations.Table 4
The physical and chemical adsorption amount of P(DEAMSt-co-MMA).
Polymer P(DEAMSt0.11-co-MMA) P(DEAMSt0.19-co-MMA) P(DEAMSt0.30-co-MMA) Temperature (°C) 25 45 65 25 45 65 25 45 65 Alcohol outgoing amount of dye (mg dye/10 mL alcohol) physical ads. 12.8 20.3 20.7 17.0 19.6 19.8 17.6 19.5 19.7 Alcohol exceeding amount of dye (mg dye/10 mL alcohol) chemical ads. 15.5 0.4 0.3 7.1 1.9 1.5 5.9 2.1 1.7 % physical adsorption 45.2 98.1 98.5 70.5 91.1 92.9 74.0 90.2 92.1 % chemical adsorption 54.8 1.93 1.42 29.5 8.83 7.1 25.1 9.7 7.9The adsorption kinetics are calculated according to (4) and (5). The adsorption of BCK onto P(DEAMSt-co-MMA) was studied at room temperature (298 K). The k1 (min−1) (indicating the first-order kinetics) and k2 (mg/g time) (indicating the pseudo-second-order kinetics) values were determined from the graph in Figures 10–12.Figure 10
The adsorption kinetics of P(DEAMSt0.11-co-MMA): (a) first-order and (b) pseudo-second-order.
(a) (b)Figure 11
The adsorption kinetics of P(DEAMSt0.19-co-MMA): (a) first-order and (b) pseudo-second-order.
(a) (b)Figure 12
The adsorption kinetics of P(DEAMSt0.30-co-MMA): (a) first-order and (b) pseudo-second-order.
(a) (b)The kinetics parameters for the adsorption of BCG onto copolymers are given in Table5. As seen in Table 5, the R2 correlation coefficients were found 0.90, 0.93, and 0.85 for 11%DEAMSt, 19%DEAMSt, and 30%DEAMSt, respectively, for the first-order kinetics; and the R2 values were found as 0.99, 0.99, and 1.00 for 11%DEAMSt, 19%DEAMSt, and 30%DEAMSt for pseudo-second-order kinetics, respectively. These results showed that the adsorption was followed for the pseudo-second-order kinetics models [12, 16]. Also, qe values in the table and the fixed amounts of dye adsorption are showed [17]. This is an indication of experimental and theoretically pseudo-second-order compliance [17, 18].Table 5
The kinetic parameters for BCK on P(DEAMSt-co-MMA).
Polymer First-order-kinetics parameters Pseudo-order-kinetics parameters k 1 R 2 q e k 2 R 2 q e P(DEAMSt0.11-co-MMA) 0.925 0.90 5.12 0.016 0.99 29.85 P(DEAMSt0.19-co-MMA) 0.334 0.93 8.51 0.022 0.99 26.31 P(DEAMSt0.30-co-MMA) 0.483 0.85 2.51 0.12 1.00 23.8


### 3.4. Dielectrical Behavior and Conductivity of P(DEAMSt-co-MMA)

It is known that the change in the dielectric properties of the polymers is due to the electronic, ionic, and molecular polarizability. These properties are related to the physical and chemical structure of the polymer. The electrical properties of the polymers change with frequency. In order to determine the electrical properties of the prepared P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA), the dielectric behaviors and conductivity measurements were carried out at various temperature and frequency values.The dielectric measurements of the copolymers were investigated by using the LCR Meter Impedance Analyzer device. For this purpose, 0.1 g of copolymer was kept under four tons of pressure and transformed to disk. Its thickness was measured and the disk surfaces were coated with silver paste. The dielectric constants were calculated using the following formula [10, 19].(6)ε′=Cp·dεo·A.Cp is the parallel capacitance values.d is the thickness of the polymer sample.εo is the permittivity in free space εo=8,854×10-12 F/m.ε′ is the dielectric constant.The dielectric losses factor in the copolymer were calculated by the equation(7)ε′′=DF·ε′.The capacitance measurements were performed at different frequencies (100 Hz to 2 kHz) and temperatures (from 298 to 423 K) by impedance analyzer (Figures13–16).Figure 13
The graph of the dielectric constants change by the frequency of P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).Figure 14
The graph of the dielectric loss factor change by the frequency of P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).Figure 15
The change of the dielectric constants versus temperature for P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).Figure 16
The graph of the dielectric loss factor change by the temperature for P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).As seen from the graphs, the dielectrical constants (ε′) decreased by increasing frequency (Figure 13). It was observed that the capacitance values of the copolymers increased as the frequency increased, and they started to decrease after a maximum exceeded and they remained stable at high frequencies [20, 21]. It can be said that this probably is an indication of polarizability of the interface surfaces. When the electric field is applied, moving surface loads occur on the surface of copolymers. As the electric field is applied, these loads cause a superficial polarization by cumulating on the dielectric surface [22, 23]. In this case, the increase in the frequency causes a decrease in the dielectric constant. The dielectric loss factor (ε′′) of the copolymers decreased as the frequency increased [22, 24] (Figure 14). The reason for the reduction in the frequency of the dielectric loss factor (ε′′) values can be due to the free movement of molecules.The dielectric constant (ε′) and dielectric loss factor (ε′′) in both compositions (11 and 19%) of copolymers changed with temperature (Figures 15 and 16). As seen from the graphs, the (ε′) and (ε′′) values of the copolymers increased with temperature and at high temperatures, and they increased more rapidly due to the segmental mobility and dipoles [25]. As the polymers are stationary and fixed under the glass transition temperature, when an electric field is applied to the polymer, the polymer chain movements increase as the polymer free volumes increase the glass transition temperature and a space occurs. In this case, the dielectric constant and dielectric losses factor increase by the temperature [3, 23, 25].The dielectric constant, dielectric loss factor, and conductivity of the obtained P(DEAMSt-co-MMA) were measured at 1 kHz at room temperature. The results are summarized in Table6.Table 6
The dielectric constant, dielectric losses factor, and conductivity values of P(DEAMSt-co-MMA).
Polymer Dielectric constant (ε′) Dielectric loss factor (ε′′) Conductivity (S/cm) (σ) Ea(eV) P(DEAMSt 0,11-co-MMA) 3.15 0.097 5.48 × 10−9 0.11 P(DEAMSt 0,19-co-MMA) 6.55 0.301 1.71 × 10−8 0.08As shown in Table6, the ε′, ε′′, and conductivityσ values of the copolymers increased as the percent amount of DEAMSt units increased. The dielectric constants of the P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA) were found as 3.15 and 6.55, respectively. The dielectric loss factors of copolymer systems showed a similar behavior. The conductivities of the P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA) wereσ = 5.48 × 10−9 S/cm andσ = 1.71 × 10−8 S/cm, respectively. According to the obtained results, the dielectric constant, dielectric loss factor, and conductivity values increased with the increase in DEAMSt units depending on copolymer compositions.The conductivity values of the P(DEAMSt-co-MMA) with different combination were determined from the changes in frequency and temperature.The “σp” values of the conductance parameters were calculated using the following equation:(8)σp=G·dA,where G is the conductance, d is the thickness, and A is the sample space.Thelog⁡σ values are plotted against frequency and temperature (Figures 17 and 18). As seen from the graphs, the electrical conductivity increased with temperature and frequency.Figure 17
The graph of the conductivity (log⁡σ) change with frequency for P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).Figure 18
The graph of the conductivity (log⁡σ) change with temperature for P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).It can be stated that the necessary activation energy for the activity of the charge carrier ions is dependent on temperature [25]. In this case, the mobility of the polymer has sufficient activation energy for the activity of the charge carrier ions as the temperature increases [25]. The mobility of the polymer chain with increasing temperature leads to increased free volume in the polymer and this increases the polarization and causes an increase in conductivity [26]. According to these results, the electrical conductivities of the copolymers are sensitive to an increase in the frequency and temperature. In addition, the dielectric constant and conductivity showed a sudden increase in increasing temperature at any certain point. It was considered that this increase is due to the increase in the free volume due to the structures of the polymer molecules [27].The activation energy values were calculated using the Arrhenius equation (9) which relates the conductivity to temperature exponentially [28].(9)σ=σoe-Ea/kT,whereσ is conductivity (S/cm), σo is constant, Ea is activation energy (eV),k is Boltzmann constant, and T is absolute temperature (K) (Figures 19(a) and 19(b)). The activation energies were calculated from the slopes of the graphs for two different copolymer systems. Here, Ea is the activation energy of ionic conductions and the energy barrier for the ionic transport. The energy barrier for the ionic transport reduces as temperature rises and this leads to an increase in the ionic conductivity [29]. The thermal activation energy is inversely proportional to the electrical conductivity and the temperature dependence of the electrical conductivity shows that the conductivity increases with temperature [30]. The obtained data were given in Table 6. The activation energy, as shown in Table 6, decreased with the increasing amount of DEAMSt. This effect is based on the presence of polar groups. When the activation energy decreases, the number of carrier ions increases. The activation energies of the P(DEAMSt0.19-co-MMA) polymer are lower than those of P(DEAMSt0.11-co-MMA) at higher temperatures. The activation energy of the copolymer including 0.19DEAMSt in the polymer chain decreased. The number of transported ions and the conductivity increased with decreasing activation energy [27] and the super-ionic structure was sustained in high-temperature region. This situation is in accordance with the results obtained in the previous literature [31, 32]. Furthermore, it was considered that electronic and polar relaxation occurred when the activation energy values are lower [33].Figure 19
The graph of the conductivity (ln⁡σ) with 1000/T temperature for (a) P(DEAMSt0.11-co-MMA) and (b) P(DEAMSt0.19-co-MMA).
(a) (b)


## 3.1. The Characterization of Modified DEAMSt Monomer and P(DEAMSt-co-MMA)

The 4-diethanolaminomethyl styrene was prepared from the modification of 4-chloromethyl styrene with diethanolamine. The copolymers of the modified styrene monomer and methyl methacrylate in various combinations (11, 19, and 30% by mole) were prepared by free radical polymerization method. In the FT-IR spectrum of the modified DEAMSt monomer (Figure2), the -OH stretching vibration at 3400 cm−1, the aromatic C-H stretchings at 3082–3050 cm−1, the aliphatic C-H stretchings at 2920–2850 cm−1, the C=C double bond stretching on aromatic ring at 1600 cm−1, the aromatic C-H bending at 1490 cm−1, the aliphatic C-H bending at 1450–1370 cm−1, the -C-N vibration bending at 1386, 1100–1250 cm−1, and the C-H plane bending vibration at 690–830 cm−1 are the characteristic peaks for the structure. The structure of 4-chloromethyl styrene performed in the previous studies in our laboratory [3, 11] was characterized by FT-IR, and the -CH2-Cl and -C-H bending vibrations at 1265 cm−1 and the C-Cl stretching at 673 cm−1 were observed. Additionally, the 1H-NMR spectrum showed the signals at 4.5 ppm for -CH2-Cl protons. The FT-IR spectrum of the DEAMSt monomer showed a broad -OH band at 3400 cm−1, the disappearance of the -CH2-Cl bending vibration at 1265 cm−1, and the disappearance of the C-Cl stretching at 673 cm−1, and a new broad peak appeared at 1070 cm−1 which is characteristic for C-O bonding and indicates that the structure was formed successfully [12]. The 1H-NMR spectrum of the DEAMSt monomer (Figure 3) showed the aromatic ring protons at 7.38–7.30 ppm, phenyl-CH2-N and -CH2-O protons at 3.69 ppm, -CH2 protons next to nitrogen (N-CH2) at 2.89 ppm, cis-trans -CH2 protons at 5.23–5.73 ppm, and -CH2 and -CH protons at 2.2–1.8 ppm on the main chain. The signals at 8.00 and 2.89–2.96 ppm belong to the solvent (DMF), which can not be removed from the medium.The FT-IR spectra of the copolymers in different combinations [P(DEAMSt0.11-co-MMA), P(DEAMSt0.19-co-MMA), and P(DEAMSt0.30-co-MMA)] are showed in Figure5. The significant bands in the spectra are -OH stretching vibration peak at 3456 cm−1, the aromatic -C-H stretching peak at 3000–3050 cm−1, the aliphatic -C-H stretching peak at 2950 cm−1, the -OC=O carbonyl peak in the MMA unit at 1729 cm−1, the aromatic C=C bond stretching at 1600 cm−1, the aromatic C-H bending at 1490–1510 cm−1, and the aliphatic C-H bending at 1447 cm−1, and at 1148 and 1250 cm−1 a wide peak of C-N vibrations was observed.Figure 5
FT-IR spectra of (a) P(DEAMSt0.11-co-MMA), (b) P(DEAMSt0.19-co-MMA), and (c) P(DEAMSt0.30-co-MMA).The1H-NMR spectra of the prepared copolymers in different combinations are given in Figure 6. In the 1H-NMR spectrum, the aromatic ring protons at 6.9–7.2 ppm, the -OCH3 protons in the MMA units, the phenyl-CH2-N and -CH2-O protons at 3.6 ppm, -N-CH2 proton at 2.8 ppm, the -CH2 and -CH protons in the polymeric chain at 1.1–2.1 ppm are important signals, and the -CH2-Cl signal at 4.5 ppm disappeared after the modification of 4-chloromethyl styrene with diethanolamine. The new signals at 3.6 ppm and at 2.8 ppm corresponding to the bonded phenyl -CH2-N and -CH2-O protons and next to nitrogen -CH2 proton are characterizing the structure of P(DEAMSt-co-MMA).Figure 6
1H-NMR spectra of (a) P(DEAMSt0.11-co-MMA), (b) P(DEAMSt0.19-co-MMA), and (c) P(DEAMSt0.30-co-MMA).
(a) (b) (c)The combination of the copolymers was estimated from the1H-NMR spectra. For this purpose, the considerable integral heights of the aromatic ring protons (6.8–7.5 ppm) and integral heights of the aliphatic protons (0.6–2.2 ppm) on the main chain of copolymer were utilized to calculate the percentage combinations of DEAMSt and MMA. The composition of the copolymers was calculated by means of the following equations.(1)Aromatic protons integral heightsAliphatic protons integral heights=4m13m1+5m2,m1+m2=1.Here,m1 is the mole fraction of the (DEAMSt); m2 is the mole fraction of the MMA.The composition of the DEAMSt-MMA copolymer systems was estimated as DEAMSt0.11, MMA0.89; DEAMSt0.19, MMA0.81; DEAMSt0.30, MMA0.70. The feed ratios of DEAMSt in copolymerization are 0.10, 0.20, and 0.30 by mole. On the other hand, units of DEAMSt after copolymerization are 0.11, 0.19, and 0.30 by mole. This means that reactivity of monomers is almost the same as each other.The average molecular weights and polydispersities of the copolymers were estimated by GPC technique and the results were summarized in Table1. Polydispersities of copolymers prepared by free radical polymerization method showed the formation of chains with narrow molecular structure.Table 1
The average molecular weights and polydispersities of P(DEAMSt-co-MMA).
Copolymer M n M w H I (=Mw/Mn) P(DEAMSt0.11-co-MMA) 7.63 × 103 7.73 × 103 1.02 P(DEAMSt0.19-co-MMA) 7.91 × 103 8.01 × 103 1.01 P(DEAMSt0.30-co-MMA) 7.69 × 103 7.78 × 103 1.01


## 3.2. Thermal Characterization

The glass transition temperatures (Tg) for different combinations of P(DEAMSt-co-MMA) and P(DEAMSt) were determined from the differential scanning calorimetry (DSC) curves (Figure 7) and the Tg values of the obtained homopolymer and copolymers are given in Table 2. The DSC measurements were carried out at 200°C under N2 flow with a heating rate of 20°C/min. All the copolymers and homopolymer showed a single transition and have homogeneous phase distribution. The glass transition temperature (Tg) of P(DEAMSt) was measured at 80°C. The Tg values of P(DEAMSt0.11-co-MMA), P(DEAMSt0.19-co-MMA), and P(DEAMSt0.30-co-MMA) were measured as 113, 105, and 93°C, respectively. The Tg values of the copolymers containing DEAMSt are 113°C for P(DEAMSt0.11-co-MMA) and 93°C for P(DEAMSt0.30-co-MMA). The increasing amount of DEAMSt units in the copolymer decreased the Tg value and the Tg value was getting close to that of P(DEAMSt) (Tg= 80°C). In this case, the increase of the DEAMSt units in the structure of the copolymer increased the chain flexibility and free volumes and the Tg decreased. This is probably due to a group with bulking such as diethanol amine on the DEAMSt moieties [3]. The revealing results consisted of the results recorded in the literature [3, 13].Table 2
TGA and DSC results of the P(DEAMSt) and P(DEAMSt-co-MMA).
Polymer systems T g (°C) Initial decomposition temp. (°C) Final decomposition temp. (°C) 50% weight loss temp (°C) (%) residue at 500 (°C) P(DEAMSt0.11-co-MMA) 113 213 409 338 8 P(DEAMSt0.19-co-MMA) 105 219 410 329 14 P(DEAMSt0.30-co-MMA) 93 228 400 339 7 P(DEAMSt) 80 229 410 340 19Figure 7
DSC curves of (a) P(DEAMSt), (b) P(DEAMSt0.11-co-MMA), (c) P(DEAMSt0.19-co-MMA), and (d) P(DEAMSt0.30-co-MMA).To examine the thermal behaviors of the P(DEAMSt) and copolymers, the TGA curves (Figure8) were recorded. For this purpose, the TGA measurements were carried out by heating up to 500°C under N2 flow at 10°C/min heating rate, and the results are given in Table 2. In Table 2 have been submitted the initial and final decomposition temperatures, the temperature at 50% weight loss, the Tg value, and % residue at 500°C for the polymers.Figure 8
TGA curves of P(DEAMSt) and P(DEAMSt-co-MMA).The thermal degradation behavior of all polymers showed single stage. The initial decomposition temperatures of the P(DEAMSt-co-MMA) with various DEAMSt contents of 0.11, 0.19, and 0.30 were measured as 213, 219, and 228°C and the final decomposition temperatures were 409, 410, and 400°C, respectively. According to the obtained data, the thermal stability increased by the increasing amount of DEAMSt units in the copolymer structure. The decomposition temperatures at 50% weight loss were measured as 338, 329, and 339°C, and it was obvious that this value increased by the increasing amount of DEAMSt units. The highest % residue amount at 500°C was observed for the P(DEAMSt). The initial and final decomposition temperatures of the homopolymer are higher than those of the copolymers. All these results indicate the high thermal stabilities of P(DEAMSt). The weight reductions seen in the TGA curves are resulting from some impurities, from solvent residue, and from moisture although polymers are dried for long durations.


## 3.3. Adsorption Studies of Copolymers

The dye uptake properties of the modified DEAMSt with MMA in different combinations were investigated. Bromocresol green (BCG) was used as an adsorbent. The dye uptake properties were studied at room temperature (298 K) and at pH = 3.8–5.5. For this purpose, the dye solution was prepared by dissolving BCG (0.035 g) in 500 mL water. Then, in the dye adsorption experiments, 0.1 g of polymer samples was added onto 5 mL portions of BCG solution and the absorbance was measured at different times and temperatures (25, 45, 55, and 65°C) by diluted samples periodically. The absorbance measurements were carried out by UV-visible spectrophotometer atλmax = 350 nm. The calibration curve was prepared previously and the amount of BCG absorbed on the polymers was calculated by the following equation [14].(2)The dye adsorptionQe=Co-C·V·KWg.Co is the initial concentration of dye solution.K is the amount of dilution.C is the final concentration of the dye solution.V is the volume of dye solution.Wg is the weight of polymer.To determine the physical and chemical adsorption amounts, the painted polymers were washed twice with 5 mL of ethyl alcohol. The absorption was measured by UV-visible spectrophotometer atλmax = 350 nm. The dye amount was found by utilizing the calibration curve. The amount of substance extracted by ethylalcohol, the physical and chemical adsorption quantities, was determined after the washing process.(3)Amount of substance extracted by alcohol (physical adsorption)=C·V·KWg,Chemical adsorption (mg dye/g polymer)=Ct-Cf.C is the concentration of dye solution.V is the volume of alcohol used for washing.Ct is the total amount of dye that holds the polymer.Cf is the alcohol outgoing amount of dye.Then, the adsorption kinetics of the P(DEAMSt-co-MMA) with different compositions were investigated. The following equations were used to determine the adsorption rates [15].First-order rate adsorption equation (Lagergren equation) is(4)logge-gt=log⁡ge-k1·t2,303.Pseudo-second-order rate adsorption equation is(5)1qt=1k2·qe2+1qe·t.k1 is the first-order adsorption rate constant (time−1).k2 is the pseudo-second-order adsorption rate constant (mg/g·time).qe is the amount of adsorbed substance at equilibrium (mg/g).qt is the amount of the adsorbed substance at any time.The obtainedlog⁡(qe-qt) and t/qt values at different times (t) were calculated graphically to find the k1 and k2 values.The change in the dye uptake (BCG) of the copolymers versus time is seen in Figure9. As it can be seen in the graphs, the BCG uptake capacity of the copolymers was almost fixed in 60 minutes.Figure 9
The time change depending on dye uptake quantity of P(DEAMSt-co-MMA).Then, the dye uptake capacity of the copolymers was examined at different temperatures for the constant duration of 30 minutes. The results were given in Table3.Table 3
The dye uptake amount of P(DEAMSt -co-MMA) in different temperatures.
Polymer P(DEAMSt0.11-co-MMA) P(DEAMSt0.19-co-MMA) P(DEAMSt0.30-co-MMA) Temperature (°C) 25 45 55 65 25 45 55 65 25 45 55 65 Dye adsorption(mg dye/g polymer) 28.3 20.8 20.5 20.4 24.1 21.5 21.4 21.3 23.5 21.6 21.5 21.4As seen in Table3, the dye uptake capacities for P(DEAMSt0.11-co-MMA) at different temperatures such as 25, 45, 55, and 65°C were calculated as 28.3, 20.8, 20.5, and 20.4 mg dye/g polymer, respectively. According to these results, the dye uptake capacity values decreased with increasing temperature. Because the adsorption process usually is an exothermic phenomenon, the adsorption increases with decreasing in temperature. The similar results were observed for the other two copolymers and this indicates that the process is physical adsorption.Then, the dye uptaking copolymers were washed twice with 10 mL of ethylalcohol and the dye amounts in alcohol were measured. The dye quantities of alcohol were determined by UV device atλmax = 350 nm at different temperatures such as 25, 45, and 65°C. The physical and chemical adsorption values were determined using (3). The obtained results are given in Table 4. As can be seen from Table 4, the physical adsorption process occurred for the copolymers with different combinations.Table 4
The physical and chemical adsorption amount of P(DEAMSt-co-MMA).
Polymer P(DEAMSt0.11-co-MMA) P(DEAMSt0.19-co-MMA) P(DEAMSt0.30-co-MMA) Temperature (°C) 25 45 65 25 45 65 25 45 65 Alcohol outgoing amount of dye (mg dye/10 mL alcohol) physical ads. 12.8 20.3 20.7 17.0 19.6 19.8 17.6 19.5 19.7 Alcohol exceeding amount of dye (mg dye/10 mL alcohol) chemical ads. 15.5 0.4 0.3 7.1 1.9 1.5 5.9 2.1 1.7 % physical adsorption 45.2 98.1 98.5 70.5 91.1 92.9 74.0 90.2 92.1 % chemical adsorption 54.8 1.93 1.42 29.5 8.83 7.1 25.1 9.7 7.9The adsorption kinetics are calculated according to (4) and (5). The adsorption of BCK onto P(DEAMSt-co-MMA) was studied at room temperature (298 K). The k1 (min−1) (indicating the first-order kinetics) and k2 (mg/g time) (indicating the pseudo-second-order kinetics) values were determined from the graph in Figures 10–12.Figure 10
The adsorption kinetics of P(DEAMSt0.11-co-MMA): (a) first-order and (b) pseudo-second-order.
(a) (b)Figure 11
The adsorption kinetics of P(DEAMSt0.19-co-MMA): (a) first-order and (b) pseudo-second-order.
(a) (b)Figure 12
The adsorption kinetics of P(DEAMSt0.30-co-MMA): (a) first-order and (b) pseudo-second-order.
(a) (b)The kinetics parameters for the adsorption of BCG onto copolymers are given in Table5. As seen in Table 5, the R2 correlation coefficients were found 0.90, 0.93, and 0.85 for 11%DEAMSt, 19%DEAMSt, and 30%DEAMSt, respectively, for the first-order kinetics; and the R2 values were found as 0.99, 0.99, and 1.00 for 11%DEAMSt, 19%DEAMSt, and 30%DEAMSt for pseudo-second-order kinetics, respectively. These results showed that the adsorption was followed for the pseudo-second-order kinetics models [12, 16]. Also, qe values in the table and the fixed amounts of dye adsorption are showed [17]. This is an indication of experimental and theoretically pseudo-second-order compliance [17, 18].Table 5
The kinetic parameters for BCK on P(DEAMSt-co-MMA).
Polymer First-order-kinetics parameters Pseudo-order-kinetics parameters k 1 R 2 q e k 2 R 2 q e P(DEAMSt0.11-co-MMA) 0.925 0.90 5.12 0.016 0.99 29.85 P(DEAMSt0.19-co-MMA) 0.334 0.93 8.51 0.022 0.99 26.31 P(DEAMSt0.30-co-MMA) 0.483 0.85 2.51 0.12 1.00 23.8


## 3.4. Dielectrical Behavior and Conductivity of P(DEAMSt-co-MMA)

It is known that the change in the dielectric properties of the polymers is due to the electronic, ionic, and molecular polarizability. These properties are related to the physical and chemical structure of the polymer. The electrical properties of the polymers change with frequency. In order to determine the electrical properties of the prepared P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA), the dielectric behaviors and conductivity measurements were carried out at various temperature and frequency values.The dielectric measurements of the copolymers were investigated by using the LCR Meter Impedance Analyzer device. For this purpose, 0.1 g of copolymer was kept under four tons of pressure and transformed to disk. Its thickness was measured and the disk surfaces were coated with silver paste. The dielectric constants were calculated using the following formula [10, 19].(6)ε′=Cp·dεo·A.Cp is the parallel capacitance values.d is the thickness of the polymer sample.εo is the permittivity in free space εo=8,854×10-12 F/m.ε′ is the dielectric constant.The dielectric losses factor in the copolymer were calculated by the equation(7)ε′′=DF·ε′.The capacitance measurements were performed at different frequencies (100 Hz to 2 kHz) and temperatures (from 298 to 423 K) by impedance analyzer (Figures13–16).Figure 13
The graph of the dielectric constants change by the frequency of P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).Figure 14
The graph of the dielectric loss factor change by the frequency of P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).Figure 15
The change of the dielectric constants versus temperature for P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).Figure 16
The graph of the dielectric loss factor change by the temperature for P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).As seen from the graphs, the dielectrical constants (ε′) decreased by increasing frequency (Figure 13). It was observed that the capacitance values of the copolymers increased as the frequency increased, and they started to decrease after a maximum exceeded and they remained stable at high frequencies [20, 21]. It can be said that this probably is an indication of polarizability of the interface surfaces. When the electric field is applied, moving surface loads occur on the surface of copolymers. As the electric field is applied, these loads cause a superficial polarization by cumulating on the dielectric surface [22, 23]. In this case, the increase in the frequency causes a decrease in the dielectric constant. The dielectric loss factor (ε′′) of the copolymers decreased as the frequency increased [22, 24] (Figure 14). The reason for the reduction in the frequency of the dielectric loss factor (ε′′) values can be due to the free movement of molecules.The dielectric constant (ε′) and dielectric loss factor (ε′′) in both compositions (11 and 19%) of copolymers changed with temperature (Figures 15 and 16). As seen from the graphs, the (ε′) and (ε′′) values of the copolymers increased with temperature and at high temperatures, and they increased more rapidly due to the segmental mobility and dipoles [25]. As the polymers are stationary and fixed under the glass transition temperature, when an electric field is applied to the polymer, the polymer chain movements increase as the polymer free volumes increase the glass transition temperature and a space occurs. In this case, the dielectric constant and dielectric losses factor increase by the temperature [3, 23, 25].The dielectric constant, dielectric loss factor, and conductivity of the obtained P(DEAMSt-co-MMA) were measured at 1 kHz at room temperature. The results are summarized in Table6.Table 6
The dielectric constant, dielectric losses factor, and conductivity values of P(DEAMSt-co-MMA).
Polymer Dielectric constant (ε′) Dielectric loss factor (ε′′) Conductivity (S/cm) (σ) Ea(eV) P(DEAMSt 0,11-co-MMA) 3.15 0.097 5.48 × 10−9 0.11 P(DEAMSt 0,19-co-MMA) 6.55 0.301 1.71 × 10−8 0.08As shown in Table6, the ε′, ε′′, and conductivityσ values of the copolymers increased as the percent amount of DEAMSt units increased. The dielectric constants of the P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA) were found as 3.15 and 6.55, respectively. The dielectric loss factors of copolymer systems showed a similar behavior. The conductivities of the P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA) wereσ = 5.48 × 10−9 S/cm andσ = 1.71 × 10−8 S/cm, respectively. According to the obtained results, the dielectric constant, dielectric loss factor, and conductivity values increased with the increase in DEAMSt units depending on copolymer compositions.The conductivity values of the P(DEAMSt-co-MMA) with different combination were determined from the changes in frequency and temperature.The “σp” values of the conductance parameters were calculated using the following equation:(8)σp=G·dA,where G is the conductance, d is the thickness, and A is the sample space.Thelog⁡σ values are plotted against frequency and temperature (Figures 17 and 18). As seen from the graphs, the electrical conductivity increased with temperature and frequency.Figure 17
The graph of the conductivity (log⁡σ) change with frequency for P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).Figure 18
The graph of the conductivity (log⁡σ) change with temperature for P(DEAMSt0.11-co-MMA) and P(DEAMSt0.19-co-MMA).It can be stated that the necessary activation energy for the activity of the charge carrier ions is dependent on temperature [25]. In this case, the mobility of the polymer has sufficient activation energy for the activity of the charge carrier ions as the temperature increases [25]. The mobility of the polymer chain with increasing temperature leads to increased free volume in the polymer and this increases the polarization and causes an increase in conductivity [26]. According to these results, the electrical conductivities of the copolymers are sensitive to an increase in the frequency and temperature. In addition, the dielectric constant and conductivity showed a sudden increase in increasing temperature at any certain point. It was considered that this increase is due to the increase in the free volume due to the structures of the polymer molecules [27].The activation energy values were calculated using the Arrhenius equation (9) which relates the conductivity to temperature exponentially [28].(9)σ=σoe-Ea/kT,whereσ is conductivity (S/cm), σo is constant, Ea is activation energy (eV),k is Boltzmann constant, and T is absolute temperature (K) (Figures 19(a) and 19(b)). The activation energies were calculated from the slopes of the graphs for two different copolymer systems. Here, Ea is the activation energy of ionic conductions and the energy barrier for the ionic transport. The energy barrier for the ionic transport reduces as temperature rises and this leads to an increase in the ionic conductivity [29]. The thermal activation energy is inversely proportional to the electrical conductivity and the temperature dependence of the electrical conductivity shows that the conductivity increases with temperature [30]. The obtained data were given in Table 6. The activation energy, as shown in Table 6, decreased with the increasing amount of DEAMSt. This effect is based on the presence of polar groups. When the activation energy decreases, the number of carrier ions increases. The activation energies of the P(DEAMSt0.19-co-MMA) polymer are lower than those of P(DEAMSt0.11-co-MMA) at higher temperatures. The activation energy of the copolymer including 0.19DEAMSt in the polymer chain decreased. The number of transported ions and the conductivity increased with decreasing activation energy [27] and the super-ionic structure was sustained in high-temperature region. This situation is in accordance with the results obtained in the previous literature [31, 32]. Furthermore, it was considered that electronic and polar relaxation occurred when the activation energy values are lower [33].Figure 19
The graph of the conductivity (ln⁡σ) with 1000/T temperature for (a) P(DEAMSt0.11-co-MMA) and (b) P(DEAMSt0.19-co-MMA).
(a) (b)


## 4. Conclusions

The 4-diethanolaminomethyl styrene, DEAMSt, was prepared by the modification of 4-chloromethyl styrene with diethanolamine. A series copolymer system in different combinations (0.11, 0.19, and 0.30) of the modified DEAMSt and methyl methacrylate monomer was prepared by free radical polymerization method. The FT-IR and1H-NMR techniques confirmed the structures of DEAMSt and P(DEAMSt-co-MMA). The thermal behaviors and the glass transition temperatures were determined by TGA and DSC. The dye uptake properties (BCG) of the obtained copolymers were investigated. The results showed that the adsorption kinetics of the P(DEAMSt-co-MMA) in different combinations was modeled by the pseudo-second-order kinetics and it was found to be a physical adsorption. The dielectric constants (ε′) were found as 0.11ε′ = 3.15; 0.19ε′ = 6.55 at 1 kHz depending on the compositions of the copolymers. According to the obtained results, the ε′, ε′′, and σ values in the copolymers increased with the increase in the DEAMSt units; this is explained by the increase of the OH groups in the copolymer chain and the increase of the polarity. The dielectric constant, dielectric loss factor, and conductivity increased by increasing temperature. The DEAMSt0.19 possesses the highest conductivity, low activation energy, high amorphous structure, and high thermal stability. There is a relationship between the chemical structure of the polymer and another properties like the mechanical and thermal ones, which is very important for potential applications.



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*Source: 8957267-2018-04-10.xml*