pH-Responsive Intra- and Inter-Molecularly Micelle Formation of Anionic Diblock Copolymer in Water

Poly(sodium2-(acrylamido)-2-methylpropanesulfonate)-block-poly(sodium11-(acrylamido)undecanoate) (PAMPS–PAaU) was synthesized via reversible addition-fragmentation chain transfer (RAFT)-controlled radical polymerization. The “living” polymerization of PAaU was evidenced by the fact that the molecular weight distribution was narrow (Mw/Mn = 1.23). The pH-induced association behavior of PAMPS–PAaU in 0.1 M NaCl aqueous solutions as a function of solution pH was investigated by 1H NMR spin-spin relaxation time, dynamic light scattering (DLS), static light scattering (SLS), and fluorescence probe techniques. These results indicated that PAMPS–PAaU formed polymer micelles in 0.1 M NaCl aqueous solutions at pH < 9. At pH = 8–9, the polymer formed the micelles intramolecularly due to hydrophobic self-association of the PAaU block within the single polymer chain. On the other hand, at pH < 8, micellization occurred intermolecularly to form polymer micelles comprising hydrophobic PAaU cores and hydrophilic PAMPS shells.


Introduction
Amphiphilic diblock copolymers form micelles in water in which hydrophobic blocks constitute a core and hydrophilic blocks form shells [1]. The amphiphilic diblock copolymer micelles are important in many applications, including separation [2] and delivery systems [3]. In recent years, external stimuli-responsive block copolymers have attracted considerable interest. Remarkable progress has been made in the development of block copolymers responding to physical and chemical stimuli such as heat, pH, light, and added electrolytes [4][5][6].
Progress in polymer synthesis techniques makes it possible to produce various water-soluble block copolymers with controlled structures. Radical polymerization methods that have been used to synthesize well-defined polymers include nitroxide-mediated or stable free radical polymerization (SFRP) [7], atom transfer radical polymerization (ATRP) [8,9], and reversible addition-fragmentation chain transfer (RAFT) methods [10]. Above them, the advantage of RAFT polymerization is applicable to a wide range of monomers under a broad range of experimental conditions. We previously synthesized poly(sodium2-(acrylamido)-2-methylpropanesulfonate)-blockpoly(sodium6-(acrylamido)hexanoate) (PAMPS-PAaH) via RAFT radical polymerization, and investigated its pH-induced association behavior in 0.1 M NaCl aqueous solutions with dynamic light scattering (DLS), static light scattering (SLS), 1 H NMR relaxation, and fluorescence probe techniques [11]. The experimental data indicated that PAMPS-PAaH forms polymer micelles conditions. The pH-induced association and dissociation are completely reversible without hysteresis [11].
In this paper, we report on the pH-induced self-association behavior of a diblock copolymer (PAMPS-PAaU) of poly(sodium2-(acrylamido)-2-methylpropanesulfonate) (PAMPS) and poly(sodium11-(acrylamido)undecanoate) (PAaU), which has a longer pendant alkyl chain than that of PAaH, in an aqueous solution by the RAFT process using a PAMPS macro-chain transfer agent (Chart 1). The diblock copolymer will exhibit pH-induced self-association due to the selective protonation of the carboxylate residues at low pH values. We mainly focused on the pH-responsive association and dissociation behavior of PAMPS-PAaU in aqueous solution as characterized using DLS, SLS, 1 H NMR relaxation time, and fluorescence probe techniques. We expected that the micellization due to the hydrophobic self-association of PAMPS-PAaU occurs at relatively higher pH compared with PAMPS-PAaH because the pKa value for the PAaU block is higher than that of the PAaH block. Chart 1. Chemical structure of diblock copolymer (PAMPS-PAaU). The most probable end group structure is indicated.

Synthesis of Sodium 11-(Acrylamido)undecanoate (AaU)
Acryloyl chloride (56.7 g, 0.625 mol) was added to 0.6 M NaOH aqueous solution (1.5 L) of 11aminoundecanoic acid (40.3 g, 0.20 mol) over a period of 30 min in an ice bath. The solution was stirred for 3 h at room temperature. After the reaction, the solution pH was changed to pH 3 using 6 M hydrochloric acid. The precipitate was filtered, washed twice with water. The crude product was purified by recrystallization from a mixture of acetone and n-hexane (1/3, v/v) three times and dried at 50 °C under vacuum, and finally 15.4 g (30.4%) of 11-(acrylamido)undecanoic acid was obtained. AaU was prepared by neutralization of 11-(acrylamido)undecanoic acid (15.4 g, 60.7 mmol) with an equivalent of NaOH (2.43 g, 60.8 mmol) in methanol followed by precipitation of the salt with diethyl ether. The sample was dried at 50 °C under vacuum, and finally 16.1 g (95.7%) of AaU was obtained.

Preparation of PAMPS Macro-Chain Transfer Agent (PAMPS Macro-CTA)
AMPS (25.0 g, 121 mmol) was neutralized with NaOH (4.81 g, 121 mmol) in 60 mL of water, and CPD (232 mg, 0.829 mmol) and V-501 (46.4 mg, 0.166 mmol) were added to this solution. The mixture was degassed by purging with Ar gas for 30 min. Polymerization was carried out at 70 °C for 4 h. The Chart 1. Chemical structure of diblock copolymer (PAMPS-PAaU). The most probable end group structure is indicated.

Synthesis of Sodium 11-(Acrylamido)undecanoate (AaU)
Acryloyl chloride (56.7 g, 0.625 mol) was added to 0.6 M NaOH aqueous solution (1.5 L) of 11-aminoundecanoic acid (40.3 g, 0.20 mol) over a period of 30 min in an ice bath. The solution was stirred for 3 h at room temperature. After the reaction, the solution pH was changed to pH 3 using 6 M hydrochloric acid. The precipitate was filtered, washed twice with water. The crude product was purified by recrystallization from a mixture of acetone and n-hexane (1/3, v/v) three times and dried at 50˝C under vacuum, and finally 15.4 g (30.4%) of 11-(acrylamido)undecanoic acid was obtained. AaU was prepared by neutralization of 11-(acrylamido)undecanoic acid (15.4 g, 60.7 mmol) with an equivalent of NaOH (2.43 g, 60.8 mmol) in methanol followed by precipitation of the salt with diethyl ether. The sample was dried at 50˝C under vacuum, and finally 16.1 g (95.7%) of AaU was obtained.

Preparation of PAMPS Macro-Chain Transfer Agent (PAMPS Macro-CTA)
AMPS (25.0 g, 121 mmol) was neutralized with NaOH (4.81 g, 121 mmol) in 60 mL of water, and CPD (232 mg, 0.829 mmol) and V-501 (46.4 mg, 0.166 mmol) were added to this solution. The mixture was degassed by purging with Ar gas for 30 min. Polymerization was carried out at 70˝C for 4 h. The polymer was dialyzed against pure water for a week and recovered by a freeze-drying technique (yield 23.2 g, conversion 83.9%). The obtained PAMPS could be used as a macro-CTA.

Block Copolymerization
PAMPS macro-CTA (2.43 g, 0.14 mmol), AaU (2.06 g, 7.43 mmol), and V-501 (4.63 mg, 0.0165 mmol) were dissolved in 13.5 mL of water. The solution was deoxygenated by purging with Ar gas for 30 min. Block copolymerization was carried out at 70˝C for 4 h. The diblock copolymer was purified by dialysis against a NaOH aqueous solution at pH 8 for a week, changing the dilute alkaline aqueous solution twice a day. The diblock copolymer (PAMPS-PAaU) was recovered by a freeze-drying technique (yield 3.52 g, conversion 89.4%). Gel-permeation chromatography (GPC) for the reaction mixture was measured to estimate the number-average molecular weight (M n ) and molecular weight distribution (M w /M n ).

Measurements
GPC analysis was performed at 40˝C with a reflective index (RI) detector equipped with a Shodex 7.0 µm bead size GF-7F HQ column (exclusion limit~10 7 ) using a phosphate buffer solution at pH 9 containing 10 v % acetonitrile as an eluent at a flow rate of 0.6 mL/min. M n , weight-average molecular weight (M w ), and M w /M n of the polymer were calibrated with a standard poly(sodium styrenesulfonate) samples of 11 different molecular weights ranging from 1.37ˆ10 3 to 2.61ˆ10 6 .
DLS data were obtained at 25˝C with an Otsuka Electronics Photal DLS-7000DL light scattering spectrometer (Osaka, Japan) equipped with an ALV-5000E multi-τ digital time correlator. A He-Ne laser (10.0 mW at 632.8 nm) was used as a light source. The intensity-intensity time correlation g (2) (t) in the self-beating mode was measured, and g (2) (t) is related to the normalized autocorrelation function of the scattered electric field g (1) (t): where B is a baseline, β is a factor which takes into account deviations from ideal correlation, and t is the delay time. For a polydisperse sample, g (1) (t) is related to the relaxation time distribution, τA(τ). To obtain τA(τ), the inverse Laplace transform (ILT) analysis was performed using a constrained regularization routine, REPES [13,14].
Here, τ is the relaxation time. The relaxation time distributions are given as a τA(τ) vs. log(τ) profile with an equal area. The translational diffusion coefficient (D) is calculated from D = (Γ/q 2 ) qÑ0 , where Γ is the relation rate and q = (4πn/λ)sin(θ/2) with n being the refractive index of solvent, λ being the wavelength (632.8 nm), and θ being the scattering angle. The hydrodynamic radius (R h ) is calculated using the Einstein-Stokes relation R h = k B T/6πηD, where k B is Boltzmann's constant, T is the absolute temperature, and η is the solvent viscosity. SLS measurements were performed at 25˝C with an Otsuka Electronics Photal DLS-7000DL light scattering spectrometer equipped with a He-Ne laser (10.0 mW, 632.8 nm). M w , z-average radius of gyration (R g ), and the second virial coefficient (A 2 ) values were estimated from the relation [15].
where C P is the polymer concentration, R θ is the Rayleigh ratio, and K = 4π 2 n 2 (dn/dC P )2/N A λ 4 with dn/dC P being the refractive index increment against C P and N A being Avogadro's number. By measuring R θ for a set of C P and θ, value of M w , R g , and A 2 were estimated from Zimm plots.
Benzene was used for the calibration of the instrument. Values of dn/dC P were determined with an Otsuka Electronics Photal DRM-1020 differential refractometer (Osaka, Japan) at 25˝C. The 1 H NMR spectra were obtained with a Bruker DRX-500 spectrometer (Billerica, MA, USA) operating at 500 MHz in D 2 O. Chemical shifts were determined by using 3-(trimethylsilyl)propionic-2,2,3,3-d 4 acid as an internal reference. The 1 H NMR spin-spin relaxation times (T 2 ) were determined by the Carr-purcell-Meiboom-Gill (CPMG) method [16]. A 90˝pulse of 13.85 µs was calibrated and used for the measurement. Peak intensities at 12 different numbers of 180p ulse were measured. Fluorescence spectra were recorded on a Hitachi F-2500 fluorescence spectrophotometer (Tokyo, Japan). ANS was used as a fluorescence probe. A 0.1 M NaCl aqueous stock solution of ANS (1.89ˆ10´4 M) was prepared. Emission spectra of ANS were measured with excitation at 350 nm. Excitation and emission slit widths were maintained at 20 and 5.0 nm, respectively.

Preparation of Sample Solutions
The solution pH was adjusted by adding a proper amount of aqueous NaOH or HCl. All measurements were made with 0.1 M NaCl aqueous solutions to avoid an effect of a small change in the ion strength resulting from a small amount of NaOH or HCl added to the solutions. For DLS measurements, polymer solutions containing 0.1 M NaCl were employed to minimize interpolymer electrostatic interactions. The polymer concentration was 10 g/L. SLS and dn/dC P measurements were performed at C P ranging from 1.0 to 10 g/L in 0.1 M NaCl aqueous solutions. Sample solutions for DLS and SLS measurements were filtered with a 0.2 µm pore size membrane filter. The sample solutions of the diblock copolymer at C P = 10 g/L for 1 H NMR measurements were prepared in D 2 O containing 0.1 M NaCl, and pD was adjusted with a D 2 O solution of NaOD or DCl. The final pD value was determined from the relation pD = pH + 0.4 [17].

Results and Discussion
We prepared the diblock copolymer, PAMPS-PAaU, via a RAFT technique using PAMPS macro-CTA. The degree of polymerization (DP) of PAMPS macro-CTA, which was determined from GPC, was 75, because the terminal phenyl protons in PAMPS macro-CTA were overlapped with the pendant amide groups. The DP of the PAaU block was 39, calculated from 1 H NMR peak area intensities of 3.4 ppm derived from a methylene proton in the PAMPS block (e) and an area at around 3.2 ppm derived from a methylene proton in the PAaU block (d), which is shown in Figure 1. M n and M w /M n of PAMPS-PAaU, estimated from GPC, were 7.63ˆ10 4 and 1.23, respectively. The results for characteristics of PAMPS-PAaU are listed in Table 1. The M w /M n value of PAMPS-PAaU is relatively small (M w /M n = 1.23), predicting that the controlled/living polymerization proceeded successfully [11]. To examine the pH-induced self-association behavior of PAMPS-PAaU, evaluation of the 1 H NMR relaxation time is a useful tool, because T 2 decreases as the molecular motion decreases. To obtain information about motional restriction of the pendant methylene protons in the PAaU block and the PAMPS block, when the polymer forms core-shell-type micelle, we performed 1 H NMR relaxation time measurements with the diblock copolymer in D 2 O containing 0.1 M NaCl aqueous solutions under various pH conditions. In Figure 2, T 2 values for the diblock copolymer observed at around 3.2 ppm derived from the pendant methylene proton in the PAaU block and at around 3.4 ppm derived from the pendant methylene proton in the PAMPS block are plotted against solution pH. In the case of the methylene proton in the PAaU block, the T 2 value is virtually constant at 40 ms at pH > 9. Upon the decrease in solution pH from 9 to 7, the T 2 value is sharply decreased, reaching a constant value of 4 ms. The observation indicates that a transition from unimer to micelle, and vice versa, occurs within a range of pH between 7 and 9. In contrast, the T 2 value of the methylene proton in the PAMPS block shows a constant value of 45 ms in the whole range of solution pH, indicating that the PAMPS block is not incorporated into the micelle core.   The formation of the polymer micelles from the diblock copolymer under acidic condition was observed by DLS. Figure 3a compares a variation of scattering intensity for the solution of the diblock copolymer plotted against solution pH. The scattering intensity increased rapidly as the solution pH is decreased from 8.5 to 6, implying that micelle formation is occurred at pH < 8.5. The change in the scattering intensity fairly corresponds to that in the T2 value. Figure 3b compares Rh as a function of solution pH. The tendency shown in Figure 3b is quite different from that shown in Figure 3a. Above pH 8, the Rh value increases with increasing the solution pH from 8 to 12. One can estimate that an ionization of the carboxylate group in the PAaU block promotes the electrostatic repulsive force within one polymer chain at high pH, inducing the increment of the Rh value with increasing solution pH. At pH < 8, the Rh value also increases with decreasing the solution pH from 8 to 6.5. In this pH range, the number of carboxylate ions in the PAaU block decreases, inducing the micelle formation due to hydrophobic self-association of the pendant undecanoic acid groups in the PAaU block. The intermediate region around pH 8-9 is where it suggests that the reduction in ionic repulsion on the carboxylic acid containing the PAaU block results in less chain expansion in solution and/or formation of unimolecular micelles. The result in Figure 3b will be discussed below. The previous   The formation of the polymer micelles from the diblock copolymer under acidic condition was observed by DLS. Figure 3a compares a variation of scattering intensity for the solution of the diblock copolymer plotted against solution pH. The scattering intensity increased rapidly as the solution pH is decreased from 8.5 to 6, implying that micelle formation is occurred at pH < 8.5. The change in the scattering intensity fairly corresponds to that in the T2 value. Figure 3b compares Rh as a function of solution pH. The tendency shown in Figure 3b is quite different from that shown in Figure 3a. Above pH 8, the Rh value increases with increasing the solution pH from 8 to 12. One can estimate that an ionization of the carboxylate group in the PAaU block promotes the electrostatic repulsive force within one polymer chain at high pH, inducing the increment of the Rh value with increasing solution pH. At pH < 8, the Rh value also increases with decreasing the solution pH from 8 to 6.5. In this pH range, the number of carboxylate ions in the PAaU block decreases, inducing the micelle formation due to hydrophobic self-association of the pendant undecanoic acid groups in the PAaU block. The intermediate region around pH 8-9 is where it suggests that the reduction in ionic repulsion on the carboxylic acid containing the PAaU block results in less chain expansion in solution and/or formation of unimolecular micelles. The result in Figure 3b will be discussed below. The previous The formation of the polymer micelles from the diblock copolymer under acidic condition was observed by DLS. Figure 3a compares a variation of scattering intensity for the solution of the diblock copolymer plotted against solution pH. The scattering intensity increased rapidly as the solution pH is decreased from 8.5 to 6, implying that micelle formation is occurred at pH < 8.5. The change in the scattering intensity fairly corresponds to that in the T 2 value. Figure 3b compares R h as a function of solution pH. The tendency shown in Figure 3b is quite different from that shown in Figure 3a. Above pH 8, the R h value increases with increasing the solution pH from 8 to 12. One can estimate that an ionization of the carboxylate group in the PAaU block promotes the electrostatic repulsive force within one polymer chain at high pH, inducing the increment of the R h value with increasing solution pH. At pH < 8, the R h value also increases with decreasing the solution pH from 8 to 6.5.
In this pH range, the number of carboxylate ions in the PAaU block decreases, inducing the micelle formation due to hydrophobic self-association of the pendant undecanoic acid groups in the PAaU block. The intermediate region around pH 8-9 is where it suggests that the reduction in ionic repulsion on the carboxylic acid containing the PAaU block results in less chain expansion in solution and/or formation of unimolecular micelles. The result in Figure 3b will be discussed below. The previous study for the diblock copolymers of PAMPS-PAaH shows that the pH range of a sharp increase in the R h is from 5 to 4, which is lower than that for PAMPS-PAaU. The result suggests that the micelle formation occurs in the higher pH range of the solutions for PAMPS-PAaU because the pKa value for the PAaU block is higher than that of the PAaH block. The pKa values of lauric acid and hexanoic acid are 5.3 and 4.88, respectively. Fatty acid with a long alkyl chain is apt to have a high pKa value.  Zimm plots for PAMPS-PAaU obtained by SLS measurements in 0.1 M NaCl aqueous solutions at pH 3, 9 and 12 in the Cp range of 1.0-10 g/L are shown in Figure 4. The SLS data for the PAMPS-PAaU polymers at pH 3, 9 and 12 are presented along with DLS data in Table 2. Values of Mw were estimated by extrapolation of Cp and θ to zero, and values of Rg and A2 were estimated from the slope of the angular and concentration dependence in the Zimm plots, respectively. A value of Nagg was calculated from the ratio of Mw values for the micelle and its unimer. Mw for the unimer was determined by GPC using a mixed solvent of water and acetonitrile (90/10, v/v) containing phosphate buffer at pH 9 as an eluent ( Table 1). The Mw values determined by SLS at pH 12 and 9 fairly coincide with the Mw value determined by GPC. There is a possibility that the smaller Mw at pH 9 implies a formation of collapsed structure due to hydrophobic self-association of the PAaU block in one polymer chain. This is indicative that PAMPS-PAaU shows the unimer state in 0.1 M NaCl aqueous solutions at pH 9 and 12. On the other hand, the Mw value at pH 3 shows one order of magnitude larger than those at pH 9 and 12, anticipating that the hydrophobic self-association of the polymer chains occurs intermolecularly. The Rh as a function of solution pH, which is shown in Figure 3b, supports the results of the SLS data. The Nagg value at pH 3 was estimated to be 9.2, as presented in Table 2. The smaller A2 value is the sign of low solubility [11]. The smallest A2 value is obtained at pH 3 among pH 3, 9 and 12, indicating that the protonation of the carboxylic acid group reduces the solubility of the polymer. The Rg value is practically independent of the solution pH. The Rg/Rh ratio is a parameter that depends on the polymer chain conformation and polydispersity. The theoretical value of the Rg/Rh ratio for a homogeneous sphere is 0.778, and it increases substantially for a less dense structure and polydisperse solution [18]. The Rg/Rh ratio for PAMPS-PAaU at pH 3, 9, and 12 are 1.20, 2.35, and 1.59, respectively. The observation suggests that the protonated PAaU block core of PAMPS-PAaU at pH 3 is the densest among pH 3, 9 and 12 in 0.1 M NaCl aqueous solutions. The Rg/Rh ratios at pH 9 and 12 were larger than that at pH 3, suggesting that PAMPS-PAaU chains at pH Zimm plots for PAMPS-PAaU obtained by SLS measurements in 0.1 M NaCl aqueous solutions at pH 3, 9 and 12 in the C p range of 1.0-10 g/L are shown in Figure 4. The SLS data for the PAMPS-PAaU polymers at pH 3, 9 and 12 are presented along with DLS data in Table 2. Values of M w were estimated by extrapolation of C p and θ to zero, and values of R g and A 2 were estimated from the slope of the angular and concentration dependence in the Zimm plots, respectively. A value of N agg was calculated from the ratio of M w values for the micelle and its unimer. M w for the unimer was determined by GPC using a mixed solvent of water and acetonitrile (90/10, v/v) containing phosphate buffer at pH 9 as an eluent ( Table 1). The M w values determined by SLS at pH 12 and 9 fairly coincide with the M w value determined by GPC. There is a possibility that the smaller M w at pH 9 implies a formation of collapsed structure due to hydrophobic self-association of the PAaU block in one polymer chain. This is indicative that PAMPS-PAaU shows the unimer state in 0.1 M NaCl aqueous solutions at pH 9 and 12. On the other hand, the M w value at pH 3 shows one order of magnitude larger than those at pH 9 and 12, anticipating that the hydrophobic self-association of the polymer chains occurs intermolecularly. The R h as a function of solution pH, which is shown in Figure 3b, supports the results of the SLS data. The N agg value at pH 3 was estimated to be 9.2, as presented in Table 2. The smaller A 2 value is the sign of low solubility [11]. The smallest A 2 value is obtained at pH 3 among pH 3, 9 and 12, indicating that the protonation of the carboxylic acid group reduces the solubility of the polymer. The R g value is practically independent of the solution pH. The R g /R h ratio is a parameter that depends on the polymer chain conformation and polydispersity. The theoretical value of the R g /R h ratio for a homogeneous sphere is 0.778, and it increases substantially for a less dense structure and polydisperse solution [18]. The R g /R h ratio for PAMPS-PAaU at pH 3, 9, and 12 are 1.20, 2.35, and 1.59, respectively. The observation suggests that the protonated PAaU block core of PAMPS-PAaU at pH 3 is the densest among pH 3, 9 and 12 in 0.1 M NaCl aqueous solutions. The R g /R h ratios at pH 9 and 12 were larger than that at pH 3, suggesting that PAMPS-PAaU chains at pH 9 and 12 were relatively expanded chain conformations because of the electrostatic repulsions of the pendant sulfonate and carboxylate anions.    The fluorescence spectra of the ANS probe indicate the microscopic polarity around the probe [19]. ANS emits fluorescence strongly in nonpolar media accompanying a significant blue shift while it emits weakly in polar media. Therefore, an increased fluorescence intensity along with a blue shift of the emission maximum indicates that the probe is located in less polar media. It is also known that the fluorescence intensity and emission maximum are not influenced by changes in solution pH [11]. The fluorescence spectra for 0.2 mM of ANS in the absence and presence of PAMPS-PAaU are depicted in Figure 5 in 0.1 M NaCl aqueous solutions at pH 3. The fluorescence intensity and maximum wavelength for ANS in the presence of the diblock copolymer is remarkably increased and blue-shifted, respectively. The results suggest that the diblock copolymer micelle is able to The Rayleigh ratio (R θ ) was determined by subtracting the solvent scattering from the total scattering of the solution. The red and blue lines indicate the concentration (C p ) dependence at scattering angle (θ) = 0 and θ dependence at scattering angle (θ) = 0, respectively. The fluorescence spectra of the ANS probe indicate the microscopic polarity around the probe [19]. ANS emits fluorescence strongly in nonpolar media accompanying a significant blue shift while it emits weakly in polar media. Therefore, an increased fluorescence intensity along with a blue shift of the emission maximum indicates that the probe is located in less polar media. It is also known that the fluorescence intensity and emission maximum are not influenced by changes in solution pH [11]. The fluorescence spectra for 0.2 mM of ANS in the absence and presence of PAMPS-PAaU are depicted in Figure 5 in 0.1 M NaCl aqueous solutions at pH 3. The fluorescence intensity and maximum wavelength for ANS in the presence of the diblock copolymer is remarkably increased and blue-shifted, respectively. The results suggest that the diblock copolymer micelle is able to incorporate the ANS molecules into hydrophobic microdomains formed from the self-association of the PAaU blocks. In Figure 6, the emission maximum wavelength for ANS solubilized in 0.1 M NaCl aqueous solutions in the presence of 0.35 g/L PAMPS-PAaU is plotted against the solution pH. In a high pH region (pH > 9), the emission maximum is practically constant at about 500 nm, which is a similar value for ANS in water. At pH < 9, however, the emission maximum blue shifts to 465 nm with decreasing solution pH within a pH range of 8-9, although PAMPS-PAaU shows a unimer state at this pH range according to the results of DLS and SLS. A pH value for the onset of the blue shift is higher for the PAMPS-PAaU micelle than for the diblock copolymer micelles of PAMPS-PAaH [11]. The result indicates that the micelle formation due to the hydrophobic self-association of PAMPS-PAaU occurs at higher pH than PAMPS-PAaH. In the pH range 8-9, PAMPS-PAaU is estimated to form the micelle intramolecularly. At pH < 8, PAMPS-PAaU forms an interpolymer micelle in 0.1 M NaCl aqueous solution. When the solution pH was decreased from 12 to 3 and subsequently increased back to 12, a pH-induced fluorescence spectral change was found to be completely reversible without hysteresis. with decreasing solution pH within a pH range of 8-9, although PAMPS-PAaU shows a unimer state at this pH range according to the results of DLS and SLS. A pH value for the onset of the blue shift is higher for the PAMPS-PAaU micelle than for the diblock copolymer micelles of PAMPS-PAaH [11]. The result indicates that the micelle formation due to the hydrophobic self-association of PAMPS-PAaU occurs at higher pH than PAMPS-PAaH. In the pH range 8-9, PAMPS-PAaU is estimated to form the micelle intramolecularly. At pH < 8, PAMPS-PAaU forms an interpolymer micelle in 0.1 M NaCl aqueous solution. When the solution pH was decreased from 12 to 3 and subsequently increased back to 12, a pH-induced fluorescence spectral change was found to be completely reversible without hysteresis.  In this study, the results for 1 H NMR relaxation time, DLS, SLS, and fluorescence suggest that the pH-induced micelle formation and dissociation occurred for the diblock copolymer PAMPS-PAaU in 0.1 M NaCl aqueous solution. The data gives the estimation that the micelle formation occurs intramolecularly at pH = 8-9, whereas the intermolecular micelle is formed at pH < 8. We presume that the core-shell-type micelle is formed at pH < 8 [20]. The schematic illustrations of the micelle formation for PAMPS-PAaU are depicted in Figure 7 at varying pH values. with decreasing solution pH within a pH range of 8-9, although PAMPS-PAaU shows a unimer state at this pH range according to the results of DLS and SLS. A pH value for the onset of the blue shift is higher for the PAMPS-PAaU micelle than for the diblock copolymer micelles of PAMPS-PAaH [11]. The result indicates that the micelle formation due to the hydrophobic self-association of PAMPS-PAaU occurs at higher pH than PAMPS-PAaH. In the pH range 8-9, PAMPS-PAaU is estimated to form the micelle intramolecularly. At pH < 8, PAMPS-PAaU forms an interpolymer micelle in 0.1 M NaCl aqueous solution. When the solution pH was decreased from 12 to 3 and subsequently increased back to 12, a pH-induced fluorescence spectral change was found to be completely reversible without hysteresis.  In this study, the results for 1 H NMR relaxation time, DLS, SLS, and fluorescence suggest that the pH-induced micelle formation and dissociation occurred for the diblock copolymer PAMPS-PAaU in 0.1 M NaCl aqueous solution. The data gives the estimation that the micelle formation occurs intramolecularly at pH = 8-9, whereas the intermolecular micelle is formed at pH < 8. We presume that the core-shell-type micelle is formed at pH < 8 [20]. The schematic illustrations of the micelle formation for PAMPS-PAaU are depicted in Figure 7 at varying pH values. In this study, the results for 1 H NMR relaxation time, DLS, SLS, and fluorescence suggest that the pH-induced micelle formation and dissociation occurred for the diblock copolymer PAMPS-PAaU in 0.1 M NaCl aqueous solution. The data gives the estimation that the micelle formation occurs intramolecularly at pH = 8-9, whereas the intermolecular micelle is formed at pH < 8. We presume that the core-shell-type micelle is formed at pH < 8 [20]. The schematic illustrations of the micelle formation for PAMPS-PAaU are depicted in Figure 7 at varying pH values.

Conclusions
The diblock copolymer PAMPS-PAaU was synthesized via RAFT polymerization. The polymerization of AaU used by AMPS macro-CTA proceeded in accordance with a controlled/living mechanism by the fact of the narrow molecular weight distribution (Mw/Mn = 1.23). The pH-induced association behavior of PAMPS-PAaU in 0.1 M NaCl aqueous solution at a pH range from 2 to 12 was investigated by 1 H NMR relaxation, DLS, SLS, and fluorescence probe techniques. These experimental data indicated that PAMPS-PAaU formed polymer micelles in 0.1 M NaCl aqueous solutions at pH < 9. At pH = 8-9, the diblock copolymer formed the micelles intramolecularly due to the hydrophobic self-association of the PAaU block in one polymer chain. In contrast, the core-shelltype micelle is formed due to interpolymer hydrophobic self-association at pH < 8.