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Jun 2, 2014 - Yuhang Zhou , Junjie Li , Ying Zhang , Dianyu Dong , Ershuai .... Boguang Yang , Changyong Wang , Yabin Zhang , Lei Ye , Yufeng Qian , Y...
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Differences in Cationic and Anionic Charge Densities Dictate Zwitterionic Associations and Stimuli Responses Qing Shao,† Luo Mi,† Xia Han,†,‡ Tao Bai,† Sijun Liu,§ Yuting Li,† and Shaoyi Jiang*,†,§ †

Department of Chemical Engineering, University of Washington, Seattle, Washington 98195, United States Key Laboratory for Advanced Materials and Department of Chemistry, East China University of Science & Technology, Shanghai 200237, China § Department of Bioengineering, University of Washington, Seattle, Washington 98195, United States ‡

ABSTRACT: Zwitterionic materials have shown their excellent performance in many biological and chemical applications. Zwitterionic materials possess moieties that own both cationic and anionic groups. The associations among zwitterionic moieties through electrostatic interactions play an important role in properties of zwitterionic materials. However, the relationship between the molecular structures and associations of zwitterionic moieties are still not well understood. This work compared thermal- and salt-responsive behaviors of sulfobetaine and carboxybetaine polymers by examining their rheological properties as a function of temperature and their hydrodynamic sizes as a function of salt concentration. Results showed that carboxybetaine polymers do not exhibit stimuli responses as expected from the antipolyelectrolyte behavior of zwitterionic polymers as observed in sulfobetaine polymers. We studied and compared the associations among zwitterionic moieties in these two zwitterionic polymers using molecular dynamic simulations. Simulation results show that the charge-density difference between cationic and anionic groups determines the associations among zwitterionic moieties, which are responsible for different stimuli responses of carboxybetaine and sulfobetaine polymers.

1. INTRODUCTION

However, it is unclear what molecular properties of zwitterionic moieties determine associations among them and the corresponding properties of zwitterionic materials. To address this question, we selected two types of zwitterionic materials, i.e., SB and carboxybetaine (CB) materials, and studied their stimuli responses and associations among zwitterionic moieties using both experimental and molecular dynamics (MD) simulation methods. The zwitterionic SB moiety has a cationic quaternary ammonium group and an anionic sulfonate group. The zwitterionic CB moiety shares the same cationic group as the SB moiety, but has an anionic carboxylic group whose charge density is higher than that of the sulfonate group. Figure 1 shows the molecular structures of SB and CB polymers. To explore any different stimuli responses between CB and SB polymers, we compared their thermal and salt responses by analyzing their rheology moduli as a function of temperature and dynamic lighting radii as a function of NaCl concentration. We performed MD simulations of CB and SB polymer in water to investigate the structure and dynamics of associations among zwitterionic moieties in these two polymers. We also performed MD simulations of small CB and SB molecules with various molecular structures to further investigate the relationship between the molecular structures of zwitterionic moieties and the associations among them.

Zwitterionic materials have many unique properties: they resist nonspecific protein adsorption in complex environments,1 they protect enzymes from denaturation without sacrificing bioactivity,2 and they prevent capsule formation in vivo for up to three months.3 Zwitterionic materials possess zwitterionic moieties that have both cationic and anionic groups. Zwitterionic moieties are also common in nature such as cell membranes, proteins, or osmolytes.4 These observations position zwitterionic materials as an excellent candidate for many biological applications. Zwitterionic moieties can form associations through the interactions between the cationic and anionic groups. These associations are believed to determine many properties of zwitterionic materials. For instance, Azzaroni et al.5 showed that associations among sulfobetaine (SB) moieties might lead zwitterionic SB polymer brushes to be hydrophobic. Schultz et al.6 showed that adding salts could decrease the upper critical solution temperature of SB polymers. They also observed an inverted lower critical solution temperature for SB polymers. They proposed that such behaviors are due to the variation of the associations among SB moieties. The antipolyelectrolyte effect of zwitterionic polymers is also attributed to the influences of salts on the associations of zwitterionic moieties.7 The swelling8 and mechanical properties9,10 of SB polymers vary as a function of salt concentration and temperature, indicating the importance of associations among zwitterionic moieties in performance of zwitterionic materials. © 2014 American Chemical Society

Received: April 9, 2014 Revised: June 2, 2014 Published: June 2, 2014 6956

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and multiple-angle light scattering (MALS) detectors from Wyatt Technology. The polymers were dissolved in phosphatebuffered saline (PBS, pH 7.01) to a final concentration of 5 mg/mL and separated on an Agilent PL Aquagel-OH 20 column with a flow rate of 1 mL/min and PBS as the mobile phase. Polydispersity index (PDI) values were calculated from the collected RI and LS data using the ASTRA software developed by Wyatt Technology, and molecular weight (MW) was calculated from a polyethylene glycol (PEG) standard curve. Each polymer was separated and analyzed three times under the same conditions. 2.3. Rheology Measurement. The dynamic viscoelasticity was measured with a Kinexus Pro rheometer (Malvern Instruments Ltd.) using parallel plates of 40 mm diameter and plate-to-plate distance of 900 μm. The temperature dependence of the storage modulus (G′) and loss modulus (G″) was determined by oscillatory shear deformation with the temperature range from 10 to 40 °C. The frequency was fixed at 10 Hz, and the strain was fixed at 1%. The concentrations of polymer solutions were 50 g/L, and the pH is neutral. 2.3. Dynamic Lighting Scattering Measurement. Dynamic light scattering (DLS) measurements were performed at room temperature by using a Zetasizer NanoZS Instrument (ZEM4228, Malvern Instruments, UK) equipped with a 4 mW He−Ne laser (λ0 = 633 nm) and with noninvasive backscattering (NIBS) detection at a scattering angle of 173°. The autocorrelation function was converted in a volume-weighted particle size distribution with Dispersion Technology Software 5.06 from Malvern Instruments. The polymer concentrations of the samples were 2 g/L with a neutral pH. For each data point, three independent measurements were carried out.

Figure 1. Molecular structures of zwitterionic polymers: (a) SB polymers and (b) CB polymers.

2. EXPERIMENTAL DETAILS 2.1. Polymer Preparation. In a typical radical polymerization reaction of sulfobetaine or carboxybetaine polymer synthesis, 2 g of monomer and 20 mg of initiator (2,2′azobis[2-(2-imidazolin-2-yl)propane] dihydrochloride, VA044) were dissolved into 20 mL of solvent (water for CB polymers; 0.5 M NaCl solution for SB polymers). The solution was subsequently deoxygenated on an ice bath by bubbling filtered nitrogen through for 1 h. Following the deoxygenation, the reaction solution was heated to 40 °C and stirred vigorously for 18 h. After 18 h, the reaction was stopped by exposure to air. The polymer solutions were subsequently purified via dialysis and followed by lyophilization, resulting a white power for both PCBMA and PSBMA. The polymers were then used without further purification. The molecular weights of polymers were determined by gel permeation chromatography (GPC) on a Waters Alliance 2695 system fitted with a Phenomenex BioSep-SEC-s2000 column. 2.2. Gel Permeation Chromatography (GPC). Gel permeation chromatography (GPC) experiments were conducted on an Agilent 1260 system with refractive index (RI)

3. SIMULATION DETAILS 3.1. Force Field Parameters. Water molecules in this work were represented with the SPC/E model.11 We used the force field developed in our previous work12 to describe CB moieties. We calculated the partial charges of small SB molecules using the same proceed as described in our previous work12 and

Figure 2. Initial configurations of two simulation systems: (a) SB polymer and (b) 2 M SB2 solution. 6957

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kPa) ensemble, and the last 20 ns MD simulation was used to collect the coordinate data with a frequency of 2 ps. During the last 40 ns MD simulation, the temperature was maintained with Nosé−Hoover algorithm,17,18 and pressure was maintained with Parrinello−Rahman algorithm. Long-range electrostatic interactions were computed with the particle mesh Ewald method19 with periodic boundary conditions in all three dimensions. The short-range van der Waals interactions were calculated with a cutoff distance of 1.0 nm. Intramolecular bonds involving hydrogen atoms were kept constrained with the LINCS algorithm.20 The MD simulations were performed using Gromacs-4.5.5.21 For each small zwitterionic molecule system, after an energy minimization, a 5.0 ns MD simulation in an NPT ensemble (T = 298 K, P = 100 kPa) was carried out for equilibrium. The system was maintained at temperature and pressure with the Berendsen algorithm (with a compressibility of 4.5 × 10−5 bar−1 and a 1 ps time constant). Another 5.0 ns MD simulation in an NVT ensemble was carried out for data collection. The temperature was maintained with Nosé−Hoover algorithm. The other details were the same as the MD simulations of zwitterionic polymer systems.

found that the charged groups of the three SB molecules have similar partial charges. Therefore, we employed the partial charges of SB molecules with two methylene groups13 in this work to all the three SB molecules and the SB moieties in polymers. The other atoms of polymers were described by the OPLSAA force field.14 A combination of a Lennard-Jones (L-J) 12−6 potential and a Coulomb potential was used to calculate the nonbonded potential energy ⎡⎛ ⎞12 ⎛ ⎞6 ⎤ qiqj σij σij U (rij) = 4εij⎢⎢⎜⎜ ⎟⎟ − ⎜⎜ ⎟⎟ ⎥⎥ + r rij ⎝ rij ⎠ ⎦ ⎣⎝ ij ⎠

(1)

where rij is the distance between atoms i and j, qi is the partial charge assigned to atom i, and εij and σij are energy and size parameters obtained by Jorgensen combining rules. 3.2. MD Simulations of Polymers and Small Molecule Solutions. The zwitterionic polymer systems contain 10 SB or CB polymer chains and water molecules. Each polymer chain has 30 monomers, whose structures are shown in Figure 1. The initial configurations of polymer chains in simulation systems were generated by packmol.15 Figure 2a shows the initial configuration of SB polymer system. The concentration of zwitterionic moieties in the simulation system of polymers was around 1.5 M. The simulation system for small zwitterionic molecules contains a number of zwitterionic molecules and water molecules. Figure 2b shows the initial configuration of 2 M SB solutions having SB moieties with two methylene groups between the charged groups. Table 1 lists the details of those simulation systems.

4. RESULTS AND DISCUSSION 4.1. Stimuli responses of CB and SB Polymers. We first compared the thermal responses of SB and CB polymers by analyzing their storage (G′) and loss (G″) moduli as a function of temperature. The solution concentration was 50 g/L in aqueous solutions. Figure 3 shows G′ and G″ of SB and CB polymer solutions from 10 to 40 °C. In this temperature range, the SB polymer solution shows larger moduli than the CB polymer solution, indicating that SB polymers possess more interactions in polymers. Considering the molecular structures of these two polymers, the most possible interactions were the associations among their zwitterionic moieties. Increasing temperature results in a significant reduction in G′ and G″ of SB polymers. This reduction indicates the breakages of associations caused by temperature increase, consistent with what was observed for SB hydrogels22 and SB polymer solids.23 However, G′ and G″ of CB polymers do not show such reduction as temperature increases, indicating that CB polymers may have few interpolymer associations. We further studied the hydrodynamic sizes (Rh) of SB and CB polymer solutions as a function of NaCl concentration using dynamic lighting scattering. Zwitterionic polymers are well-known to have the antipolyelectrolyte effect:7 adding salt can break the association among zwitterionic moieties and improve the solubility of zwitterionic polymers. If both SB and CB polymers possess many associations among their zwitterionic moieties, we can expect that adding salt will break these associations and decrease Rh of CB and SB polymers. Figure 4 shows Rh of SB and CB polymer solutions (2g/L, neutral pH) with NaCl concentrations from 5 to 200 mM. The moieties concentration of SB and CB polymers were 7.3 and 8.7 mM, respectively. SB polymers do not dissolve very well in the solution with NaCl concentrations lower than 50 mM and present Rh beyond the instrument limit (6000 nm). SB polymers may possess many associations among their zwitterionic moieties, preventing the polymers from dissolving in an aqueous solution. SB polymers dissolve well in the solutions with NaCl concentrations higher than 50 mM. As shown in Figure 4, Rh of SB polymers decreases as the NaCl concentration increases from 50 to 100 mM, consistent with

Table 1. Details of Simulation Systems

polymer CB polymers SB polymers small molecules CB1 CB2 CB3 SB1 SB2 SB3

no. of molecules

no. of water molecules

concn of moieties (M)

label

10 10

11279 11201

1.5 1.5

CB polymer SB polymer

50 100 50 100 50 100 50 100 50 100 50 100

1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400

2.0 4.0 2.0 4.0 2.0 4.0 2.0 4.0 2.0 4.0 2.0 4.0

CB12M CB14M CB22M CB24M CB32M CB34M SB12M SB14M SB22M SB24M SB32M SB34M

For each zwitterionic polymer system, after energy minimization, a 40 ns MD simulation was run with an integral step of 1.0 fs in an isothermal−isobaric (NPT) (T = 298 K, P = 100 kPa) ensemble for equilibrium. The temperature and pressure were coupled using the Berendsen algorithm.16 Then a 10 ns MD simulation was carried out with temperatures coupling to 298, 320, 340, 360, 340, 320, 340, 360, 330, and 298 K for every nanosecond in a canonical (NVT) ensemble to relax the system. After this, another 40 ns MD run was carried out with integral step of a 2.0 fs in an NPT (T = 298 K, P = 100 6958

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Figure 3. Rheology properties of (a) SB polymers and (b) CB polymers as a function of temperature (T). G′ is the storage modulus, and G″ is the loss modulus.

distribution functions (RDFs) of the nitrogen atoms in cationic groups and the oxygen atoms in anionic groups of SB polymers (N−O−SB) and CB polymers (N−O−CB) solutions. The N− O−SB RDF has a peak with a height of 1.5 at 0.5 nm, and the N−O−CB RDF does not have any significant peaks higher than 1. The difference in their RDF peaks indicates that the zwitterionic moieties of SB polymers form associations though the pairing of cationic and anionic groups, while the zwitterionic moieties of CB polymers do not. The moieties of CB polymers have two methylene groups between the cationic and anionic groups, and the moieties of SB polymers have three methylene groups. To study if the number of methylene groups plays a role in the different association behaviors of SB and CB moieties, we performed MD simulations to study the associations among cationic and anionic groups of small SB and CB molecules with one to three methylene groups in water at 298 K and 100 kPa. For each small zwitterionic molecule, we performed molecular dynamics simulations with 2 and 4 M zwitterionic molecules to study the concentration effect. Figures 5b and 5c show that the six N−O RDFs of SB molecules all have a peak and none of CB molecules has. This observation excluded the possible influences of the number of methylene groups and confirmed that the distinctive zwitterionic association behaviors of CB and SB moieties result from interactions of cationic and anionic groups. The concentration of zwitterionic moieties does not change their behaviors qualitatively. To have more information on associations among zwitterionic moieties in CB and SB polymers, we analyzed the numbers and dynamics of nitrogen atom−oxygen atom (N−O) pairs at 298 K and 100 kPa. The distance to define an N−O pair of SB polymers is set to be 0.56 nm, r of the first minimum of the N−O−SB RDF shown in Figure 5. The elapsed time (τ) for the N−O pairs at certain time to decay to 1/e portion was used to characterize the pair dynamics (Figure 6). We also analyzed the N−O pair number and lifetime of CB polymers using the same method. On average, we observed 373 N−O pairs in SB polymers with a lifetime of 323 ps. However, the CB polymers only have 163 N−O pairs with a lifetime of 115 ps. The N−O pairs in SB polymer overwhelm those in CB polymer in number and lifetime, confirming that SB polymers have more and stronger associations among their zwitterionic moieties than CB polymers do.

Figure 4. Hydrodynamic sizes (Rh) of SB and CB polymer solutions as a function of NaCl concentration. SB polymers do not dissolve well in the solutions with a NaCl concentration lower than 50 mM, and the Rh are beyond the instrument limit (6000 nm).

what is expected from the classical theory of zwitterionic polymers.24 Rh of SB polymers keeps unchanged as the NaCl concentration increases from 100 to 200 mM, indicating that the association−dissociation of zwitterionic moieties caused by salt may reach equilibrium. However, CB polymers behave differently from SB polymers. CB polymers dissolve well in all the solutions, and as shown in Figure 4, Rh of CB polymers is nearly unchanged as NaCl concentration varies. Our previous simulation study25 has shown that CB moieties interact with Na+ stronger than SB moieties, excluding the possibility that NaCl may influence the associations among CB moieties weaker than on those among SB moieties. The molar concentration of CB moieties (8.7 mM) is higher than the one of SB moieties (7.3 mM), excluding the possibility that the CB polymer solutions may have less zwitterionic moieties to be affected. Hence, CB polymers may have few zwitterionic associations, different from what is commonly known about zwitterionic polymers. 4.2. Associations among Zwitterionic Moieties. To investigate the origin of different thermal and salt responses of SB and CB polymers, we performed MD simulations to study how cationic and anionic groups of zwitterionic moieties interact in these two polymers. Figure 5 shows the radial 6959

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Figure 5. Radial distribution functions of the nitrogen atoms of cationic groups and the oxygen atoms of anionic groups among zwitterionic moieties: (a) in SB (N−O−SB RDF) and CB (N−O−CB RDF) polymers, (b) in small SB molecules with various distances between charged groups at different concentrations, and (c) in small CB molecules with various distances between charged groups at different concentrations. The curves in (b) and (c) were labeled as illustrated in Table 1.

Figure 6. Residence curves of N−O pairs in SB and CB polymers.

different associations of CB and SB polymers cannot be due to the hydration similarity of their charged groups. The usage of size is not proper neither because, unlike the inorganic monovalent ions, the organic charged groups of zwitterionic moieties possess different partial charges.12 We employed the charge density of charged groups and found that the difference in this parameter well explained what we observed above. The partial charges of the cationic and anionic groups of zwitterionic moieties in CB and SB polymers were calculated using quantum mechanical calculations and divided by their van der Waals volumes. As shown in Figure 7, SB polymers possess cationic and anionic groups that match better in charge density than CB polymers. The former has

Collins26 proposed that inorganic cations and anions with similar hydration should preferentially form associations. Fennell et al.27 showed that the relative affinity of alkali and halide ions in solution depends on the matching of their sizes. Pairings between the organic cationic and anionic groups of zwitterionic moieties may follow the same principle because they are also determined by Coulombic interactions. However, the associations among zwitterionic moieties involving organic charged groups are more complicated than associations among ions because the organic charged groups have much more complex molecular structures. Our previous study13 has shown that the anionic and cationic groups of either CB or SB moieties have different hydration features. Therefore, the

Figure 7. Charge-density matching determines associations among zwitterionic moieties in zwitterionic polymers. 6960

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(4) Yancey, P. H. Organic Osmolytes as Compatible, Metabolic and Counteracting Cytoprotectants in High Osmolarity and Other Stresses. J. Exp. Biol. 2005, 208, 2819−2830. (5) Azzaroni, O.; Brown, A. A.; Huck, W. T. S. UCST Wetting Transitions of Polyzwitterionic Brushes Driven by Self-Association. Angew. Chem., Int. Ed. 2006, 45, 1770−1774. (6) Schulz, D. N.; Peiffer, D. G.; Agarwal, P. K.; Larabee, J.; Kaladas, J. J.; Soni, L.; Handwerker, B.; Garner, R. T. Phase-Behavior and Solution Properties of Sulfobetaine Polymers. Polymer 1986, 27, 1734−1742. (7) Lowe, A. B.; McCormick, C. L. Synthesis and Solution Properties of Zwitterionic Polymers. Chem. Rev. 2002, 102, 4177−4190. (8) Han, D. Z.; Letteri, R.; Chan-Seng, D.; Emrick, T.; Tu, H. L. Examination of Zwitterionic Polymers and Gels Subjected to Mechanical Constraints. Polymer 2013, 54, 2887−2894. (9) Yang, Q.; Ulbricht, M. Novel Membrane Adsorbers with Grafted Zwitterionic Polymers Synthesized by Surface-Initiated ATRP and Their Salt-Modulated Permeability and Protein Binding Properties. Chem. Mater. 2012, 24, 2943−2951. (10) Ning, J.; Li, G.; Haraguchi, K. Synthesis of Highly Stretchable, Mechanically Tough, Zwitterionic Sulfobetaine Nanocomposite Gels with Controlled Thermosensitivities. Macromolecules 2013, 46, 5317− 5328. (11) Jorgensen, W. L.; Chandrasekhar, J.; Madura, J. D.; Impey, R. W.; Klein, M. L. Comparison of Simple Potential Functions for Simulating Liquid Water. J. Chem. Phys. 1983, 79, 926−935. (12) Shao, Q.; Jiang, S. Y. Effect of Carbon Spacer Length on Zwitterionic Carboxybetaines. J. Phys. Chem. B 2013, 117, 1357−1366. (13) Shao, Q.; He, Y.; White, A. D.; Jiang, S. Y. Difference in Hydration between Carboxybetaine and Sulfobetaine. J. Phys. Chem. B 2010, 114, 16625−16631. (14) Jorgensen, W. L.; Maxwell, D. S.; TiradoRives, J. Development and Testing of the OPLS All-Atom Force Field on Conformational Energetics and Properties of Organic Liquids. J. Am. Chem. Soc. 1996, 118, 11225−11236. (15) Martinez, L.; Andrade, R.; Birgin, E. G.; Martinez, J. M. PACKMOL: A Package for Building Initial Configurations for Molecular Dynamics Simulations. J. Comput. Chem. 2009, 30, 2157− 2164. (16) Berendsen, H. J. C.; Postma, J. P. M.; Vangunsteren, W. F.; Dinola, A.; Haak, J. R. Molecular-Dynamics with Coupling to an External Bath. J. Chem. Phys. 1984, 81, 3684−3690. (17) Nose, S. A Unified Formulation of the Constant Temperature Molecular-Dynamics Methods. J. Chem. Phys. 1984, 81, 511−519. (18) Hoover, W. G. Canonical Dynamics - Equilibrium Phase-Space Distributions. Phys. Rev. A 1985, 31, 1695−1697. (19) Essmann, U.; Perera, L.; Berkowitz, M. L.; Darden, T.; Lee, H.; Pedersen, L. G. A Smooth Particle Mesh Ewald Method. J. Chem. Phys. 1995, 103, 8577−8593. (20) Hess, B. P-LINCS: A Parallel Linear Constraint Solver for Molecular Simulation. J. Chem. Theory Comput. 2008, 4, 116−122. (21) Hess, B.; Kutzner, C.; van der Spoel, D.; Lindahl, E. GROMACS 4: Algorithms for Highly Efficient, Load-Balanced, and Scalable Molecular Simulation. J. Chem. Theory Comput. 2008, 4, 435−447. (22) Das, M.; Sanson, N.; Kumacheva, E. Zwitterionic Poly(betaineN-isopropylacrylamide) Microgels: Properties and Applications. Chem. Mater. 2008, 20, 7157−7163. (23) Gauthier, M.; Carrozzella, T.; Snell, G. Sulfobetaine Zwitterionomers Based on N-Butyl Acrylate and 2-Ethoxyethyl Acrylate: Physical Properties. J. Polym. Sci., Part B: Polym. Phys. 2002, 40, 2303−2312. (24) Kumar, R.; Fredrickson, G. H. Theory of Polyzwitterion Conformations. J. Chem. Phys. 2009, 131, 104901(1−16). (25) Shao, Q.; He, Y.; Jiang, S. Y. Molecular Dynamics Simulation Study of Ion Interactions with Zwitterions. J. Phys. Chem. B 2011, 115, 8358−8363. (26) Collins, K. D. Charge Density-Dependent Strength of Hydration and Biological Structure. Biophys. J. 1997, 72, 65−76.

zwitterionic associations and stimuli response; the latter has few zwitterionic associations, and its does not have stimuli responses, which are generally expected for zwitterionic polymers.

5. CONCLUSIONS In this work, we compared the differences in thermal and salt responses between zwitterionic SB and CB polymers and investigated the structure and dynamics of associations among cationic and anionic groups in these two zwitterionic polymers. Results showed that the difference in the charge density of cationic and anionic groups of zwitterionic moieties dictates associations among moieties: the less difference results in more and stronger associations. These different interaction behaviors lead to the diversified properties of zwitterionic materials. Unlike SB moieties, CB moieties have cationic and anionic groups that are quite different in charge density, leading to fewer associations. This allows zwitterionic moieties in CB materials to be fully hydrated and to have stronger hydration. Furthermore, few associations make CB materials inert to external stimuli, which are not expected from the antipolyelectrolyte effects of zwitterionic materials. In contrast, zwitterionic SB moieties have cationic and anionic groups that are similar in charge density, leading to more and stronger associations and stimuli-responsive behaviors of SB polymers. Based on the finding from this work, it is expected that zwitterionic phosphorylcholine (PC) moieties (cationic group: 3.0 e/nm3; anionic group: −3.0 e/nm3) can associate even better since cationic and anionic groups have less differences in charge density. Indeed, our previous simulation studies show that PC self-assembled monolayers are highly ordered.28 In addition, this can be the reason why zwitterionic PC groups in natural cell membranes are very stable.



AUTHOR INFORMATION

Corresponding Author

*E-mail: [email protected] (S.J.). Notes

The authors declare no competing financial interest.



ACKNOWLEDGMENTS This work was supposed by the National Science Foundation (CMMI-1301435 and CBET-1264477). This work used the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant OCI-1053575. Xia Han thanks the financial support of the National Natural Science Foundation of China (Projects 21376073 and 21176065). This work was facilitated through the use of advanced computational, storage, and networking infrastructure provided by the Hyak supercomputer system, supported in part by the University of Washington eScience.



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(27) Fennell, C. J.; Bizjak, A.; Vlachy, V.; Dill, K. A. Ion Pairing in Molecular Simulations of Aqueous Alkali Halide Solutions. J. Phys. Chem. B 2009, 113, 6782−6791. (28) Zheng, J.; He, Y.; Chen, S. F.; Li, L. Y.; Bernards, M. T.; Jiang, S. Y. Molecular Simulation Studies of the Structure of Phosphorylcholine Self-Assembled Monolayers. J. Chem. Phys. 2006, 125, 174714(1−7).

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