Amphiphilic Maleic Acid-Containing Alternating Copolymers—2. Dilute Solution Characterization by Light Scattering, Intrinsic Viscosity, and PGSE NMR Spectroscopy E. SAUVAGE,1 N. PLUCKTAVEESAK,2 R.H. COLBY,2 D.A. AMOS,1 B. ANTALEK,1 K.M. SCHROEDER,1 J.S. TAN1 1 Research & Development Laboratories, Eastman Kodak Company, Rochester, New York 14650-2116 2 Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802 Received 13 November 2003; revised 7 April 2004; accepted 5 May 2004 DOI: 10.1002/polb.20201 Published online in Wiley InterScience (www.interscience.wiley.com). ABSTRACT: The dilute solution behavior of several alternating copolymers of maleic acid has been characterized by static and dynamic light scattering, intrinsic viscosity, and pulsed-gradient spin-echo NMR spectroscopy. The copolymer of maleic acid–sodium salt and isobutylene (IBMA-Na, Mw ⬃350 kg/mol) dissolves readily in concentrated aqueous salt solutions. Changes in chain dimensions with ionic strength and pH are similar to those of the lesser salt solution-soluble poly(acrylic acid-sodium salt). The hydrophobically modified (with n-butyl, n-hexyl, n-octyl, and phenethyl amines) copolymers of maleic acid–sodium salts and isobutylene (IBMA-NHR-Na) show no sign of large intermolecular aggregation in 0.1 N sodium acetate (NaAc). However, the sizes of the copolymers are relatively small compared to that of the ionized parent copolymer (IBMA-Na, Mw ⬃350 kg/mol), suggesting intramolecular aggregation of the alkyl sidechain groups along the polymer backbone. The copolymer modified with the longer chain n-decyl, on the other hand, forms stable large intermolecular aggregates containing 33 chains/aggregate. The copolymers of maleic acid–sodium salt and styrene (SMANa) appear to have no signs of aggregation, despite being a hydrophobic polyelectrolyte. The copolymer of maleic acid–sodium salt and di-isobutylene (DIBMA-Na) has a similar salting-out concentration as SMA-Na. The radius of gyration measurements by static light scattering suggest that at least some fraction of the DIBMA-Na chains form large intermolecular aggregates. The copolymers of maleic acid–sodium salt with n-alkenes (n-CmMA-Na) in 0.1 N NaAc form small intermolecular aggregates (three to five chains/aggregate). In contrast to these static light scattering results, PGSE NMR diffusion measurements for the above aggregated systems indicate only one diffusion coefficient consistent with the motion of single isolated chains. A plausible explanation for this discrepancy is that the population of the aggregates is too small to be sufficiently detected in the PGSE NMR experiment. Furthermore, it is likely that the aggregate has a larger relaxation rate than the nonaggregate, and therefore has a comparatively reduced signal in the PGSE NMR experiment. © 2004 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 42: 3584 –3597, 2004 Correspondence to: R.H. Colby (E-mail: rhc@plmsc.psu.edu) Journal of Polymer Science: Part B: Polymer Physics, Vol. 42, 3584 –3597 (2004) © 2004 Wiley Periodicals, Inc. 3584 AMPHIPHILIC MALEIC ACID-CONTAINING ALTERNATING COPOLYMERS—2 3585 Keywords: maleic acid alternating copolymers; hydrophobically modified polyelectrolytes; static and dynamic light-scattering; intrinsic viscosity; pulsed-gradient spinecho NMR spectroscopy; intramolecular and intermolecular aggregation INTRODUCTION Maleic acid-containing copolymers are a class of polyelectrolytes with unique properties and many industrial applications.1–7 The alternating sequence distribution of the hydrophilic maleic acid and the hydrophobic comonomers offers the possibility of forming a comb-like structure. This structural feature can facilitate the segregation of the two comonomers with opposing polarity, leading to either intramolecular or intermolecular aggregation for a preferred chain conformation in aqueous solutions. Therefore, the choice of chemical compositions of the copolymers has profound influence on their solution behavior. The parent anhydride copolymers can be made amphiphilic and water-soluble, water-dispersible, or water-insoluble, depending on the selection of the hydrophobic comonomers. In addition, hydrophobic side chains can also be incorporated through ringopening reaction of the maleic anhydride with alkylamines. The low molecular weight materials are highly surface active and useful as dispersing agents for water-insoluble compounds.1,2 Only a few studies have been reported on the aggregation behavior and interfacial activities of some maleic acid copolymers.8 –10 It is not well understood how molecular weight and the length of the side chains of the comonomers affect the interfacial activity. The high molecular weight hydrophobically modified-polyelectrolytes in general are useful as associative thickeners.11 Examples of the associative thickeners that bear randomly charged carboxylates have been studied.12,13 In these systems, only a few mol % (1–3%) of the hydrophobic comonomers containing n-C12H25 to n-C18H37 alkyl side chains was found necessary to induce solution viscosity enhancement. However, the viscosity behavior of the present alternating amphiphilic maleic acid copolymers is less understood. It is not known to what extent the n-alkyl chain length of the comonomer and the overall molecular weight affect the solution viscosity. To optimize the interfacial activity and rheological behavior of the present alternating maleic acid copolymer, a study of the correlation between the conformational behavior of the copolymers in dilute solution and bulk properties is essential. The early work by Strauss and coworkers14 –16 on conformational behavior of several copolymers of n-alkyl vinyl ether and maleic acid has led to many later studies on the characterization of intramolecular microdomain or micelle formation of the same copolymers.17–21 The copolymer of noctadecene and maleic acid–potassium salt was studied by Chu and Thomas.22 They found that there is about one polymer chain (molecular weight ⬃10 kg/mol) in each micelle consisting of 25 pairs of repeating monomer units. Detailed structural analysis of a series of copolymers of n-alkene and maleic acid–lithium salt (molecular weight up to 20 kg/mol) was reported using smallangle neutron scattering by Chen and coworkers.23,24 The results indicated that the copolymer derived from the high molecular weight n-octadecene forms cylindrical-shaped micelles in water with approximately 10 chains per micelle. The shape of the micelles becomes elliptical when the copolymers were derived from the lower molecular weight n-alkenes. The number of chains per micelle was found to decrease to only one or two for those derived from 1-octene and 1-decene. Most of the scattering experiments were conducted in dilute aqueous solution (⬍1%), although several measurements for the 1-octadecene copolymer were also made at high concentration (⬃20%). Previously, we reported the characterization of dissociation behavior and the determination of chemical compositions of several amphiphilic maleic acid-containing copolymers.25 In this article, we describe our results on the dilute solution characterization of the same materials. The alternating copolymers include the maleic acid with isobutylene, di-isobutylene, styrene, the n-alkenes ranging from n-hexene to n-octadecene, and the hydrophobically modified-copolymers of maleic anhydride and isobutylene. We have employed static and dynamic light scattering, intrinsic viscosity, and pulsed-gradient spin-echo NMR techniques to characterize these copolymers. Salting-out experiments were conducted as qualitative measures for solubility behavior in aqueous salt solutions. The objective is to utilize the information on intramolecular and intermolecular interactions gained from these studies to bet- 3586 SAUVAGE ET AL. Table I. Molecular Weight Data for Parent Anhydride Copolymers Polymer IBMAa DIBMAb n-CmMAc m⫽6 8 10 12 14 18 SMAd SMA-lmwe SMA-hmwf Meq (kg/mol) (PEO eq) (Organic Solvent) Mw/Mn 330 (350) 2.4 Meq (kg/mol)(PSSNa eq) (CH3OH/0.1MNa2SO4) 15 57 56 20 23 28 36 4.3 280 (340)g 4.2 3.7 2.0 2.1 2.5 3.0 2.7 4.7 5.5 500 a Kuraray; DMF solvent. The nominal molecular weight listed by the manufacturer is in parentheses. b Rohm & Haas, water-soluble hydrolyzed form. c S.C. Johnson & Sons (m ⫽ 6,8), THF solvent. Eastman Kodak (m ⫽ 10, 12, 14, 18), THF solvent. d Elf Atochem, Inc. (low molecular weight). Scientific Polymer Products, Inc. (high molecular weight). e lmw ⫽ low molecular weight. f hmw ⫽ high molecular weight. g The molecular weight in parentheses was calculated from the measured intrinsic viscosity of 0.79 dL/g for SMA-hmw in THF using the Mark-Houwink equation for SMA in THF.27 The SEC equivalent molecular weight for SMA-hmw is most likely erroneous due to the known difficulties with SEC of SMA in THF.28 ter understand future experiments on interfacial and rheological behavior26 of the same systems. EXPERIMENTAL Materials The parent copolymers (anhydride form) used in this study are listed in Table I. The Na salt form of each copolymer was obtained by hydrolyzing in strong NaOH, followed by exhaustive dialysis and freeze drying. The chemical structures of the Na salt forms are given in Figure 1. The acid form of each copolymer was obtained by ion exchange using a mixed-bed ion exchange resin, followed by freeze drying. Detailed syntheses and molecular weight characterization were described earlier.25 Only one of the copoly(isobutylene-alt-maleic anhydride) (IBMA) series with molecular weight ⬃350 kg/mol was selected for the present study. The two members, copoly (n-C6H13-alt-maleic anhydride) and copoly(n-C8H17-alt-maleic anhydride) obtained from S.C. Johnson & Sons, have larger polydispersity indices (Mw/Mn ⬃3.7– 4.6) than those of copoly (nC10H21, n-C12H25, n-C14H29, n-C18H37-alt-maleic anhydrides) (Mw/Mn ⬃2.0 –3.0) that were synthesized at Eastman Kodak. These polymers are designated generally as copoly(n-alkene-alt-maleic acid-sodium salt) or n-CmMA, where m is the number of carbons in the comonomer, making m ⫺ 2 the number of carbons in the alkyl side chain. The hydrolyzed salt form is designated as n-CmMA-Na. The hydrophobically modified IBMA copolymers (designated as IBMA-NHR) were obtained by ring-opening reaction of the anhydride copolymer with n-alkylamines (i.e., n-butyl, n-hexyl, n-octyl, and n-decyl) and n-phenethylamine in DMSO. Detailed preparations of the sodium salt form of these copolymers were described earlier.25 The hydrolyzed copolymer of maleic acid and di-isobutylene (copoly(di-isobutylene-alt-maleic acid–sodium salt or DIBMA-Na) was obtained in aqueous solution from Rohm & Haas (supplied as the hydrolyzed polymer solid containing excess NaOH with a trade name Acusol 460N) with a nominal molecular weight of 12 kg/mol. This polymer was dissolved in water and exhaustively dialyzed to remove the excess NaOH and freeze dried to a white fluffy solid. AMPHIPHILIC MALEIC ACID-CONTAINING ALTERNATING COPOLYMERS—2 3587 Also included in Table I are the samples of low and high molecular weight copoly (styrene-altmaleic anhydride) (SMA) obtained from Elf Atochem and Scientific Polymer Products, Inc., respectively. Detailed preparations of the sodium salt form of these copolymers, SMA-Na, were described earlier.25 Poly(acrylic acid sodium salt) (PAA-Na, Mw ⬃330 kg/mol) was purchased from Polysciences, Inc. in an aqueous solution. Excess NaOH was added to the polymer solution and the ionized polymer was extensively diafiltered and freeze dried. Poly (styrene sulfonic acid–sodium salt) (PSS-Na) molecular weight standards were purchased from American Polymer Standards Corp. Mentor, OH. They are supplied as dialyzed solid samples with polydispersity index Mw/Mn ⬍ 1.1. Light Scattering Figure 1. Chemical structures of the maleic anhydride-containing copolymers. Light-scattering measurements were made at room temperature with a Brookhaven Laser Light-Scattering system. It was equipped with a BI 200SM goniometer, an Excel 3000 argon ion laser tuned at 514.5 nm, and a BI 9000AT digital autocorrelator with 256 channels operating over 10 decades in delay time. A Wyatt optilab 903 interferometric refractometer was used to measure the refractive increment at the same wavelength. The Zimm plot and the Berry plot routines were employed to analyze the static light-scattering (SLS) data over the range of scattering angles between 20° and 150°. The dynamic light-scattering (DLS) measurements were performed at various angles at a delay time ranging from 1 s to 100 ms. The concentration of the polymer was kept at a minimum (ⱕ0.1% w/w) to ensure that only one single mode of decay function was observed. The autocorrelation function was analyzed by the cumulant or the CONTIN program, the former for the soluble polyelectrolyte solutions and the latter for the aggregating systems. Because of the unreliable and irreproducible data collection in the decay functions of the aggregated sample solutions, the size measurements by DLS are reported here only for the wholly soluble polymers PAA and IBMA. Sample preparation is the most important part of the light-scattering experiments, particularly for aqueous polyelectrolyte solutions. The stock solution of sodium acetate (NaAc) was prepared once every week and stored in the refrigerator. The pH of the solvent at a given ionic strength was adjusted with NaOH or acetic acid of the same nor- 3588 SAUVAGE ET AL. mality and filtered with 0.45 m, 0.2 m (Sterile Acrodisc), and finally with 0.02 m (Whatman Anotop inorganic membrane) filters several times into a clean light scattering cell before use. The cleanliness of the solvent is assured by observing almost no scattering intensity when the cuvette containing the solvent is placed in the cell holder of the laser light instrument. The cleaned solvent was then used to prepare the polymer stock solutions (polymer concentration, cp, ranged from 0.1 to 1%, w/w) followed by filtration several times with 0.8- and 0.45-m filters. Filters with pore size smaller than 0.45 m are not suitable for the polymer stock solutions because the high molecular weight soluble polyelectrolytes or aggregates may be removed. For the static light-scattering experiments, 1 mL of the cleaned solvent was first introduced into a dust-free cleaned cuvette and scattering intensity was measured from 20° to 150°. The laser intensity was adjusted so that the count rate at each angle was maintained at above 10 Kcps but below a few Mcps. Incremental additions into the solvent of a few microliters of the filtered polymer stock solution were made before scattering measurements. All light scattering measurements were made in dilute solution, with typical polymer concentration 0.05% ⬍ cp ⬍ 0.3%. The experimental accuracies determined from the Zimm plot are ⫾10% for the weight-average molar mass Mw, and ⫾15% for the z-average radius of gyration Rg and the second viral coefficient A2. For DLS, care must be exercised similarly to obtain clean polymer solutions (cp ⬍ 0.1%, filtered with 0.8-m and then 0.45-m filters). The laser intensity was adjusted with each sample solution so that the count rate was above 10 Kcps. Some specially made funnels fitted with sintered glass filters with porosity MF (medium fine), VF (very fine), and UF (ultra fine) were used to clean the organic solvents (methanol or tetrahydrofuran) and polymer solutions. Scattering intensity for the filtered sample solution with the highest concentration was first measured, and sequential additions of filtered solvent were made for the dilution. The dilution procedure was achieved by adding the filtered solvent from the filtration funnel directly into the polymer sample cuvette, followed by weighing. Intrinsic Viscosity Intrinsic viscosity, [], was used as a means to estimate polymer size in solution. Measurements were performed at 25 (⫾0.05)°C with a CannonUbbelohde capillary viscometer. The initial polymer stock solution was prepared at ⬃0.2% in various CNaAc at pH ⬃8.0 and filtered several times with 0.8- and 0.45-m filters. The solvent was also prepared at the same CNaAc at pH ⬃8.0 and filtered similarly. The flow time for each solution was measured three times and averaged. The intrinsic viscosity was determined from the common intercept of the plots of reduced and inherent viscosities versus cp (in %). The accuracy of each intrinsic viscosity determination is ⫾1%. The product of intrinsic viscosity and molar mass is a measure of the molar volume of the polymer in solution. Hence, the cube-root of []Mw/NAv is a measure of the polymer’s size in solution, where NAv is Avogadro’s number. Pulsed-Gradient Spin-Echo NMR Spectroscopy Polymer chain translational diffusion coefficients were measured using the pulsed-gradient spinecho (PGSE) NMR technique.29 –33 Measurements were made at 23 (⫾0.5)°C on a Varian Inova 400 MHz spectrometer equipped with a 20-Amp Highland gradient amplifier and a standard 5-mm, indirect detection, pulsed field-gradient probe. The combination provides a z-gradient strength, g, of up to 33 Gauss/cm. We employed a stimulated echo-pulse sequence with the following features. (1) A self-compensating bipolar gradient pair for reduced eddy current ringdown and better lock recovery; (2) a slice selection step to excite only the sample region experiencing a constant z-gradient (4 mm along the sample length); and (3) a spin lock purge pulse for better suppression of phase anomalies. The pulse sequence and various features are described in detail elsewhere.32,33 The experiments were performed by varying g and keeping all other timing parameters constant. The relationship between the echo attenuation and the self-diffusion coefficient (D) is given by E ⫽ 0.5E 0exp关⫺D␥2 g2 ␦2 共⌬ ⫺ ␦/3兲 ⫺ R兴 , (1) where E is the measured signal intensity, E0 is the signal intensity for t ⫽ 0, ␥ is the gyromagnetic ratio for the 1H nucleus, ␦ is the gradient pulse time length, ⌬ is the time between the two gradients in the pulse sequence (and hence defines the diffusion time), and R is a constant that takes into account nuclear relaxation. Typically, AMPHIPHILIC MALEIC ACID-CONTAINING ALTERNATING COPOLYMERS—2 we use a ⌬ value of 200 to 400 ms, a ␦ value of 5 to 10 ms, and vary g from 3 to 33 Gauss/cm in 15 steps. The value ⌬ was chosen to be large enough so that the root-mean-square (rms) displacement of the polymer is much larger than the radius of gyration of the polymer coil, Rg. For the diffusion measured, we estimate that the polymer rms displacement is greater than 1 m. The combination of g, ⌬, and ␦ were chosen to obtain 90 –95% total signal attenuation throughout the experiment. We used a Hermitian 90-pulse shape of length 800 s and power level of 30 for the slice selection step. The spin lock purge pulse was 1.5 ms in length. Other parameters include the following with typical values: sweep width ⫽ 3600 Hz, points for Fourier transform ⫽ 32,768, number of transients ⫽ 64, and acquisition time ⫹ delay ⫽ 4.5 s. We used the integral of the region between 0.5 and 2 ppm to obtain the diffusion coefficient. The same polymer solutions as those used in the light-scattering experiments were used in the NMR measurements. Ten percent w/w D2O was added to the aqueous polymer solution (i.e., 100 L/1 mL polymer solution) and 10% deuterated THF was added to the THF solutions for deuterium locking. Rh, an average hydrodynamic radius, was determined from the measured diffusion coefficient using the Stokes-Einstein relation R h ⫽ kT/6D , (2) where is the solvent viscosity and k is the Boltzmann constant. At T ⫽ 23 °C, values of 0.469 and 0.980 mPa s were used for the THF and water solvents, respectively. It was found that the water viscosity increased above 0.3 N NaAc. The water diffusion coefficient, Dw, was then used to estimate the bulk solution viscosity by keeping constant the viscosity-diffusion product, Dw. The estimated accuracy in Rh is ⬃⫾10%. Salting-Out Measurement The salting-out experiment was conducted by simple visual observation of the onset of light scattering of a polymer solution upon incremental additions of concentrated salt solution. A 3-mL polymer solution (cp ⬃0.5%) containing a small stirring bar was placed on a magnetic stirring plate. A focused microscope beam was passed through the middle of the polymer solution. Aliquots of a concentrated NaAc solution in microli- 3589 ters were added to the polymer solution under stirring. The onset of turbidity through the scattering of the light beam was recorded for each polymer solution. The concentration of salt at the onset of turbidity was used as the salting-out concentration, that is, the concentration of salt required to initiate polymer precipitation. The visual observation of the onset of turbidity increase is accurate to within 1 L of the added salt solution. RESULTS AND DISCUSSION IBMA-Na and IBMA-NHR-Na The static light-scattering results for IBMA-Na in aqueous solutions as a function of salt concentrations and pH are listed in Table II. The weightaverage molecular weight, Mw, is approximately constant (⬃330 K ⫾10%) in various aqueous media and is similar to the PEO-equivalent molecular weight (MPEO eq) of the parent anhydride copolymer previously determined by size exclusion chromatography in DMF.25 The IBMA-Na polymer stock solutions in various salt concentrations show a pH of 8.5. This is consistent with the partial dissociation (with an extent of neutralization of ␣ ⫽ 0.72) of this polymer found previously.25 It was difficult to control the pH of the sample solutions at low salt concentration (0.01 to 0.05 N NaAc) because of lack of buffering capacity. Several static light-scattering experiments were performed in this region; however, and the averages were used for Mw, the radius of gyration, Rg, and the second virial coefficient, A2. Good Zimm plots or Berry plots with double-linear extrapolations were obtained for the 0.05 N NaAc solutions, but some curvature was more apparent at lower salt concentrations (0.01 and 0.02 N NaAc). More reproducible runs were obtained, however, in 0.1 N NaAc where the pH of the solutions was varied extensively as shown in Table II. This is attributed to the effective screening of the charges on the polyelectrolytes by the added salt. The Acrodisc filters are damaged by high pH, leading to unusually high scattering intensity of the solution. Therefore, data above pH ⫽ 8.7 were discarded. Higher Mw and Rg values were obtained for experiments in solutions below pH ⫽ 4.5, indicating aggregation of the less soluble acidic polymer chains. Good Zimm plots were also obtained for the 0.5 and 1.0 N NaAc solutions. The Mw determined for the 3590 SAUVAGE ET AL. Table II. Static Light-Scattering Data in Aqueous Solution at 25°C Polymer CNaAc(N) pH 0.01 0.02 0.05 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.5 1.0 3.0 8.5–8.7 8.1–8.3 8.5–8.7 8.4–8.6 7.0 6.2 6.0 5.0 4.5 4.2 8.2–8.4 8.6 8.5 0.1 0.1 0.1 0.01 0.1 0.1 8.0 8.0 8.0 8.0 8.0 7.0 Mw (kg/mol) Rg (nm) A2(10⫺4 cm3 mol g⫺2) IBMA-Naa IBMA-NHR-Nab R ⫽ n-butyl n-hexyl n-octyl n-decyl phenethyl PAA-Nac 325 335 344 350 303 330 316 330 331 457 357 340 250 383 506 666 25300 709 333 74 64 60 54 42 61 49 42 43 82 49 42 33 45 26 12.5 81 37.6 41 100 50 43 33 12 35 2 2 — 2 10 2 4 7.4 2.8 0.5 0 4.4 11.6 a IBMA-Na cannot be salted out in saturated NaAc solutions at pH-7. The average value for dn/dc ⫽ 0.18 was used for all ionic strengths. b The value for dn/dc is 0.18 for all samples. The n-decyl polymer salts out below 0.1 N; therefore, 0.01N was used. c PAA-Na is salted out in 1.5 N NaAc at pH-7. The value for dn/dc ⫽ 0.175 was used. 3.0 N NaAc solution is somewhat smaller, possibly due to an inaccurate dn/dc value. Although the radius of gyration, Rg, decreases with increasing CNaAc (from 74 to 33 nm), it does not change markedly with pH at 0.1 N NaAc (from 54 to 43 nm). The latter is attributed to the effectiveness of the charge screening in 0.1 N salt solution where polyelectrolyte coil extension is greatly hindered. The second virial coefficient, A2, decreases more sensitively with increasing CNaAc and decreasing pH, as expected for anionic polyelectrolytes based on carboxylic acid. The magnitudes of Rg and A2 are also similar to those measured for PAA-Na with comparable molecular weight (see also Table II). The two polymers, IBMA-Na and PAA-Na, have identical ratios of carboxylate ions to the number of backbone carbons. The plot for Rh vs. CNaAc at pH ⫽ 8.5 for IBMANa measured by PGSE NMR is shown in Figure 2(a) along with Rg and ([] Mw/NAv)1/3 determined by SLS and intrinsic viscosity measurements, respectively. The trends show a definitive electrostatic screening effect. The ratio, Rh/Rg remains steady, near 0.7, similar to the ratio ob- served for uncharged flexible polymers in good solvent. The three measures of size, Rh, Rg, and ([] Mw/NAV)1/3 as a function of pH are shown in Figure 2(b). The insensitivity to pH is attributed to the partial screening of the 0.1 N NaAc solution. The Rh (by PGSE NMR) dependence on salt and pH of IBMA-Na is almost identical to that of PAA-Na of similar molecular weight, as shown in Figure 3. Only the DLS technique was used to acquire the PAA-Na data. It is difficult to obtain PGSE NMR data on PAA-Na because the 1H relaxation times are very short (T2 ⬍ 10 ms) and very little signal can be refocused in the experiment. The static light-scattering data for the IBMANHR-Na polymers in 0.1 N NaAc at pH ⫽ 8 are also included in Table II. The Zimm plots for all modified copolymers appear normal, and the data in Table II were averages of at least three repeated experiments. The increase in Mw in this series is consistent with the increase in the alkyl length of the side chain from n-butyl to n-octyl or phenethyl. The much larger Mw (2.53 ⫻ 107) mea- AMPHIPHILIC MALEIC ACID-CONTAINING ALTERNATING COPOLYMERS—2 Figure 2. (a) Salt concentration dependence of IBMA-Na size at pH ⫽ 8.5. (b) pH dependence of IBMANa size at 0.1 N NaAc. sured for the n-decylamine derivative (which is only soluble below 0.05 N NaAc) suggests the presence of stable large intermolecular aggregates, with larger Rg (81 nm) and negligible A2. Nevertheless, double-linear extrapolations were obtained in the Zimm plot for the latter polymer. The aggregates are stable with time and the number of chains per aggregate, N, is approximately 33. The dependence on the number of n-alkyl chain carbons in the amide group for Rg and Rh (by PGSE and DLS) is shown in Figure 4. The data at zero carbon atoms corresponds to the unmodified IBMA-Na. This result clearly indicates that the coil size decreases with increasing chain length, resulting from intramolecular aggregation of the n-alkyl side chains. This aggregation behavior is further supported in the 1H NMR spectra shown in Figure 5. The alkyl resonances severely broaden as the n-alkyl side chain length increases, indicating a sharp reduction in molecular mobility. The decrease in A2 with increasing nalkyl side chain length (see Table II) is also consistent with the coil collapsing caused by intramolecular aggregation. This result will be correlated 3591 with the salting-out values for the same series of copolymers later. The Rg value for the soluble phenethyl derivative is greater than that for the n-octyl derivative with equal number of carbon atoms. This is a result of the effect of the bulkier phenethyl side chain in the former polymer. The hydrodynamic radii, Rh, determined by PGSE NMR track with the Rg values and are lower in magnitude by approximately 50% up to n-hexyl and by 70% for n-octyl. Rh obtained by DLS appears to be somewhat less sensitive to chain length than that obtained by PGSE NMR, attributed partly to the experimental accuracy in Rh determination and the polydispersity of the polymer. A dramatic difference between the Rg and Rh values is seen in the n-decyl modified material. The 1H NMR spectrum is not shown in Figure 5 but is similar to that of the n-octyl modified polymer, indicating a reduction in molecular mobility due to chain collapse. A rigorous determination of the actual dissolved concentration was not performed but based on the signal-to-noise ratio, clearly much less was truly solvated compared to the other modified polymers. It has been suggested that the collapse of polyelectrolyte chains occurs in two stages: first to a “pearl necklace” structure, followed by precipitation.34,35 Loss of signal from the backbone hydrogen nuclei is attributed to the formation of the “pearl necklace.”34 We observe the loss of signal from the backbone maleic acid methines but retain the signal from the more flexible long chain alkyls. The SLS data suggests that some charge-stabilized particulates (intermolecular aggregates) exist that are unobservable in the NMR. In summary, we have obtained only one single exponential decay function for all the water-soluble polyelectrolytes in aqueous solutions at cp ⬍ 0.1% by PGSE NMR, indicating uniform size. We found that in 0.1 N NaAc, IBMA-Na is very similar to PAA-Na with comparable molecular weight and charge density. The chain dimensions decrease with increasing salt concentration but remain unchanged with pH. Although PAA-Na can be precipitated with a theta solvent salt concentration of 1.5 N NaCl,36,37 IBMA-Na is extremely soluble in aqueous salt solutions up to saturated NaAc concentration (⬎5 N) at room temperature. The modification of IBMA with n-alkylamines (n-butyl to n-octyl) does not cause intermolecular aggregation in aqueous 0.1 N NaAc. The overall chain dimensions of these hydrophobically modi- 3592 SAUVAGE ET AL. Figure 3. (a) Comparison of the salt concentration dependence of PAA-Na hydrodynamic size with that of IBMA-Na at pH ⫽ 8.5. (b) Comparison of the pH dependence of PAA-Na hydrodynamic size with that of IBMA-Na at 0.1 N NaAc. The Rh data obtained from PGSE NMR is the same as that shown in Figure 2. fied polyelectrolytes decrease with increasing nalkyl side-chain length. This finding is consistent with the formation of a very tightly coiled conformation within each polymer chain resulting from side-chain hydrophobic, intramolecular interaction. This result has a direct bearing on the conformational transition found for these copolymers upon dissociation.25 Intermolecular aggregation was observed, however, when the side chain increases to n-decyl (aggregation number⬃33), leading to larger but stable suspended particles. (1/1 v/v) (see Table I for molecular weight information). Excellent Zimm and Berry plots were obtained for DIBMA-Na in 0.1 N NaAc at pH ⫽ 8.0, resulting in Mw ⬃150 kg/mol. Based on the ratio Mw/Meq, we estimate an aggregation number of ⬃10 chains/aggregate for DIBMA-Na in 0.1 N NaAc at pH ⫽ 8.0. The Rg value of 48 nm for DIBMA-Na is similar to those for IBMA-Na and PAA-Na with higher Mw (⬃300 kg/mol). DIBMA-Na therefore appears to form intermolecular aggregates in aqueous 0.1 N NaAc. The SLS data for SMA-Na in 0.1 N NaAc exhibit ordinary double-linear extrapolations in the Zimm plot. The value obtained for Mw ⫽ 350 kg/ mol, is somewhat larger than the MPEOeq ⫽ 280 kg/mol determined by SEC (PEO equivalent molecular weight of the parent anhydride polymer listed in Table I). However, considering the fact that SEC in THF is known to give erroneous results for SMA28 and our measured intrinsic viscosity of SMA in THF (0.79 dL/g) suggests a molecular weight of 340 kg/mol for the parent anhydride polymer based on the Mark-Houwink equation for SMA in THF,27 we would conclude that SMA-Na does not aggregate in 0.1 N NaAc. In contrast, the Rh data for DIBMA-Na, obtained by PGSE NMR and shown in Figure 6, indicate no aggregation. A hydrodynamic radius of 3.6 nm is consistent with a single chain molecular weight of 15 kg/mol. Spectral broadening, consistent with intramolecular interactions, is found in the 1H NMR spectra of this polymer (not DIBMA-Na and SMA-Na The static light-scattering results for the two copolymers, DIBMA-Na and SMA-Na, are listed in Table III. The molecular weight of 12–15 kg/mol was given for DIBMA-Na by the manufacturer. Similar PSS-Na equivalent molecular weight (Meq) was also obtained earlier25 by aqueous sizeexclusion chromatography with a fluid phase composed of CH3OH/H2O with 0.1 M Na2SO4 Figure 4. Radius of gyration and hydrodynamic radius versus the number of n-alkyl side chain carbon atoms for IBMA-NHR-Na copolymers in 0.1 N NaAc at pH ⫽ 8. Due to its low solubility in the high salt regime, 0.01 N NaAc was used for the n-decyl version. AMPHIPHILIC MALEIC ACID-CONTAINING ALTERNATING COPOLYMERS—2 3593 Figure 5. 1H NMR spectra of three IBMA-NHR-Na copolymers in 0.1 N NaAc at pH ⫽ 8. The resonance of the acetate ion is at 1.9 ppm. (a) R ⫽ n-butyl, (b) R ⫽ n-hexyl, and (c) R ⫽ n-octyl. The resonances from the backbone hydrogen nuclei and the methylene adjacent to the amine are above 2 ppm. The resonances from the long chain alkyls are between 0.5 and 1.5 ppm. shown) at high ionic strength, ⬎1 N, where Rh is considerably smaller [see Fig. 6(a)]. This discrepancy between Rh and Rg is similar to what was found for the n-decyl modified IBMA polymer. It appears on the basis of SLS that charge stabilized intermolecular aggregates, unobservable in NMR, exist in suspended form in the DIBMA-Na solutions in 0.1 N NaAc. It is unclear what total fraction of polymer is contained in these suspended particulates. SLS determines a z-average Rg, and hence, is significantly biased to the larger particulates. It is plausible to explain this discrepancy if the population of aggregates is low with respect to the nonaggregates. NMR is sensitive to the number-average molecular weight. Furthermore, it is reasonable to assume, based on the spectral broadening seen with intramolecular interactions, that the relaxation rates associated with the aggregate are much higher than that of the nonaggregate. This may greatly reduce the signal obtained for the aggregate in the PGSE NMR experiment. n-CmMA-Na Although the SLS results for IBMA-Na are normal for a soluble polyelectrolyte in aqueous solution, the data for the higher members of the copolymers of n-CmMA-Na begin to show deviations attributed to aggregation. The copolymer n-C6MA-Na exhibits obvious curvature in the Zimm and Berry plots, but the approximate linear extrapolation scheme remains acceptable at the lowest concentrations and smallest angles. The values for Mw, Rg, and A2 are listed in Table III. An aggregation number of 3 is obtained for n-C6MA-Na, based on the Mw data by SEC and SLS, in good agreement with the previous result reported by small angle neutron scattering24 (SANS). 3594 SAUVAGE ET AL. Table III. Static Light-Scattering Data in 0.1N NaAc/pH 8.5 at 25°C Polymer DIBMA-Na SMA-Na n-CmMA-Na m⫽6 8 10 12 14 18 Meq (kg/mol, SEC) Mw (kg/mol,SLS)a Rg (nm) A2 (10⫺4 cm3 mol g⫺2) N (Chains/Aggr) (PSSNa eq) 15b (PEO eq) 280 (340)c (PEO eq) 57 56 20 23 28 36 150 48.4 2.08 10 350 41.4 10.0 1d 190 — — 114 104 186 30 — — 8 26 6.6 3.84 — — 0.94 3.58 10.0 3 — — 5 4 5 a The value for dn/dc was difficult to measure, hence, an approximate value of 0.18 was used throughout. The intrinsic viscosity of this polymer was measured to be 0.74 dL/g in the SEC solvent (1:1 methanol:aqueous 0.1N Na2SO4), possibly suggesting a higher effective molecular weight for DIBMA-Na. c The molecular weight in parentheses was calculated from the measured intrinsic viscosity of 0.79 dL/g for SMA in THF using the Mark-Houwink equation for SMA in THF.27 The SEC equivalent molecular weight for SMA-hmw is most likely erroneous due to the known difficulties with SEC of SMA in THF.28 d The molecular weight of 340 kg/mol from intrinsic viscosity in THF is nearly identical to the light scattering molecular weight, suggesting no aggregation of SMA-Na in 0.1 N NaAc. b Very pronounced curvature was observed in the Zimm and Berry plots, however, for the next two members of the series, n-C8MA (see Fig. 7) and n-C10MA, rendering the extrapolation scheme unreliable. To verify that the curvature is a result of aggregation in aqueous media for the more hydrophobic polyelectrolytes, we have performed light-scattering measurements for the corresponding acid form of the same n-C8MA in THF. A typical Zimm plot is shown in Figure 8, yielding Mw ⫽ 33 kg/mol and A2 ⫽ 2.9 ⫻ 10⫺3 cm3 mol/g2. This Mw of 33 kg/mol is of the same order of magnitude as that obtained by SEC (56 kg/mol, the PEO-equivalent molecular weight). Interestingly, normal Zimm and Berry plots are obtained for the next higher members n-C12MA and n-C14MA. The estimated values for Mw, Rg, A2, and the aggregation numbers are listed in Table III. These polymers form intermolecular aggregates in 0.1 N NaAc, with three to five chains per aggregate. The highest member of the series studied here, n-C18MA, with a PEO-equivalent molecular weight of 36 kg/mol dissolves readily in aqueous 0.1 N NaAc solution, yielding a normal Zimm Plot with Mw ⫽ 186 kg/mol as shown in Table III. Based on the PEO-equivalent molecular weight determined by SEC in THF and Mw by SLS in aqueous 0.1 N NaAc, the aggregation number for this n-C18MA copolymer is five chains/aggregate (Table III). Figure 6. (a) Salt concentration dependence of DIBMA-Na hydrodynamic size at pH ⫽ 8.5. (b) pH dependence of DIBMA-Na hydrodynamic size at 0.1 N NaAc. AMPHIPHILIC MALEIC ACID-CONTAINING ALTERNATING COPOLYMERS—2 3595 Table IV. Rh (nm) data in 0.1N NaAc/pH ⫽ 8.5 and THF at 23°C by PGSE NMR Figure 7. Light-scattering Berry plot for the hydrolyzed n-C8MA-Na copolymer in 0.1 N NaAc at pH ⫽ 8. The rapid decrease at lower angles is a result of high scattering intensity from large aggregates. PGSE NMR experiments were performed for 0.1 N NaAc aqueous (sodium maleate form) and THF (maleic acid form) solutions with cp ⬃0.1% for all the n-alkyl copolymer samples and Rh is compiled in Table IV. IBMA and DIBMA results are also shown for comparison. Again, in contrast to the SLS results, Rh from PGSE NMR only shows a single exponential decay with a relaxation time consistent with isolated chains for the n-CmMA-Na copolymers. DIBMA-Na and the higher chain-length n-CmMA-Na polymers exhibit a small reduction in size in aqueous solution compared with THF solution, indicating poorer solvent conditions in water with 0.1 N NaAc than in THF. In contrast, the IBMA-Na, shows a clear increase in size for the aqueous solution that is attributed to electrostatic repulsion coupled with the small hydrophobic effect of its isobutylene comonomer. Figure 9 is a graphical representa- Figure 8. Light-scattering Zimm plot for hydrolyzed n-C8MA acid copolymer in THF. Polymera Aqueous THF IBMA DIBMA n-CmMA m⫽6 8 10 12 14 18 35 3.6 23 5.3 hmw 6.1 4.9 4.5 4.1 4.3 4.6 hmw 6.2 3.1 2.7 3.2 3.6 — lmw 3.1 1.6 — 3.0 3.9 7.6 a The acid form was used in the THF solutions and the sodium salt form in the aqueous solutions. tion of Table IV. It is interesting to note that a minimum in size exists for C8–C10 above which the size increases. This suggests that below C8– C10 coil collapse dominates and above C8–C10 aggregation dominates the apparent size. The SLS experiments in aqueous media appear to be affected by the presence of large aggregates for the hydrophobic series of n-CmMA-Na. The aggregation results are consistent with those reported by SANS24 in aqueous media for the same copolymer series in D2O. It should be noted, however, that the copolymers synthesized in our laboratories are similar in molecular weight to those Figure 9. Hydrodynamic radius as a function of the number of carbons in the alkene comonomer (data of Table IV) Data shown are for the high molecular weight copolymers in THF (filled squares) and in aqueous 0.1 N NaAc (open squares) and for the low molecular weight copolymers in aqueous 0.1 N NaAc (open circles). Compared to the THF data, the size reaches a minimum near C8–C10 in the 0.1 N aqueous medium. 3596 SAUVAGE ET AL. Table V. The Salting-Out NaAc Concentrations for Dilute Aqueous Copolymer Solutions (⬃0.5%) at 25°C [NaAc]50 (mol/L) Polymer M (kg/mol)a hmw IBMA-Na IBMA-NHR-Na R ⫽ n-butyl n-hexyl n-octyl n-decyl phenethyl DIBMA-Na SMA-Na 330 none 383 506 666 25,300 709 15b 280 (340)c 4.3 2.17 0.96 0.12 0.05 1.0 3.0 2.9 n-CmMA-Na m⫽6 6 8 8 10 12 12 14 14 18 57 11 56 3.5 20 23 12 28 7.8 36 lmw none 3.05 4.5 0.54 1.9 0.25 0.57 1.3 0.52 0.6 0.30 a Molecular weights of IBMA-Na and its modified series were obtained in aqueous media by SLS: DIBMA-Na in mixed aqueous/CH3OH by SEC; SMA-Na and the n-CmMA-Na copolymers in THF by SEC b The intrinsic viscosity of this polymer was measured to be 0.74 dL/g in the SEC solvent (1:1 methanol:aqueous 0.1 N Na2SO4), possibly suggesting a higher effective molecular weight for DIBMA-Na. c The molecular weight in parentheses was calculated from the measured intrinsic viscosity of 0.79 dL/g for SMA in THF using the Mark-Houwink equation for SMA in THF.27 The SEC equivalent molecular weight for SMA-hmw is most likely erroneous due to the known difficulties with SEC of SMA in THF.28 of the previously reported materials24 but with lower polydispersity indices. Similar to the DIBMA-Na case, the SLS and SANS data apparently contradict the PGSE NMR diffusion data. The two sets of data together suggest that there are a small number of large aggregates that dominate the scattering results, in equilibrium with many isolated single chains. Salting Out The concentrations of NaAc required for saltingout all the polymers studied in this work are compiled in Table V. The unmodified IBMA-Na is soluble even in saturated NaAc. Modification in the maleic anhydride monomer with alkylamines changes the salt tolerance of this copolymer dramatically. The longer the alkyl side-chain group, the less tolerance it has to salt. Unlike the ndecyl-derivative whose salting-out concentration is only 0.05 N, the phenethyl derivative with the same number of carbon atoms on the side chain, remains soluble even up to 1.0 N NaAc. Apparently, the polar aromatic substituent prefers intramolecular aggregation, possibly resulting from the tendency of the planar aromatic rings to stack. This makes the phenethyl-modified copolymer more soluble in the presence of a high salt concentration than the linear n-alkyl-modified copolymers. The salting-out concentration is found to be ⬃3 N for the two copolymers, DIBMA-Na and SMA-Na (hmw). They have similar neutralization extents and their titration behaviors are almost identical.25 Two molecular weights were investigated for some of the n-CmMA-Na series. n-C6MA-Na is very soluble in aqueous salt solution. The salt tolerance decreases with increasing n-alkene side chain length and is the smallest for n-C18MA-Na. The lower molecular weight sample for each copolymer shows higher salt tolerance than the higher molecular weight counterpart. This behavior is generally expected for the effect of molecular weight on solubility. CONCLUSIONS IBMA-Na is highly soluble in aqueous solution and cannot be salted out with saturated NaAc. IBMA-Na behaves similarly to PAA-Na of comparable molecular weight with respect to the dependence of coil size on ionic strength and pH. The low molecular weight SMA-Na (4.3 kg/mol) is also very soluble in aqueous salt and cannot be precipitated in saturated NaAc. The high molecular weight SMA-Na salts out at 2.9 mol/L NaAc, suggesting this polymer is considerably more hydrophobic than IBMA-Na. However, SMA-Na shows no signs of intermolecular aggregation in 0.1 N NaAc. The n-alkylamine modified isobutylenemaleic acid-sodium salt copolymers (IBMA-NHRNa) exhibit intramolecular interactions in aqueous solution causing chain collapse. The saltingout concentration for this series also decreases dramatically with increasing n-alkyl side-chain length. A large intermolecular aggregate with an AMPHIPHILIC MALEIC ACID-CONTAINING ALTERNATING COPOLYMERS—2 aggregation number of ⬃33 was obtained for the n-decyl derivative by light scattering. Similarly, DIBMA-Na appears to form a small fraction of stable intermolecular aggregates in aqueous salt solutions, with aggregation numbers of order ⬃10. PGSE NMR diffusion measurements on solutions of IBMA-Na and DIBMA-Na only see a single exponential decay, with a diffusion coefficient suggestive of isolated individual chains. Because scattering is dominated by large sizes, the NMR and light-scattering results on DIBMA-Na together suggest a small population of large aggregates in equilibrium with a large population of isolated (nonaggregated) DIBMA-Na chains. The copolymer series of maleic acid with nalkenes shows aggregation behavior in aqueous media. Normal Zimm plots were obtained for the lowest (n-C6MA) and the higher (n-C12MA, n-C14MA, and n-C18MA) members of the series, yielding stable intermolecular aggregates with three to five chains/aggregate. Large curvatures in the Zimm and Berry plots were observed, however, for the intermediate members (n-C8MA and n-C10MA), suggesting the presence of aggregates, the number or size of which depends on concentration. The authors are grateful to C.J. Verbrugge for the gift of the n-alkene-alt-maleic anhydride copolymers, I. Ponticello for synthesizing some of the same materials, and Kim Le for providing the SEC data. REFERENCES AND NOTES 1. Tan, J. S.; Schroeder, K. M.; Amos, D. A. US 6,472,136 (October 29, 2002). 2. Klingelhoefer, P.; Denzinger, W.; Reynolds, M.; Hartmann, H. BASF Aktiengeselschaft, WO 94/ 154706 (July 21, 1994). 3. Kuraray Co. Ltd. JP 94025227, Apr. 6, 1994. Based on Masao, H.; Hirotoshi, M.; Toshimitsu, K. Kuraray Co. Ltd., JP 62257913 (Nov. 10, 1987). 4. 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