Comparing Solvophobic and Multivalent Induced Collapse in Polyelectrolyte Brushes
Open accessAbstract
Coarse-grained molecular dynamics enhanced by free-energy sampling methods is used to examine the roles of solvophobicity and multivalent salts on polyelectrolyte brush collapse. Specifically, we demonstrate that while ostensibly similar, solvophobic collapsed brushes and multivalent-ion collapsed brushes exhibit distinct mechanistic and structural features. Notably, multivalent-induced heterogeneous brush collapse is observed under good solvent polymer backbone conditions, demonstrating that the mechanism of multivalent collapse is not contingent upon a solvophobic backbone. Umbrella sampling of the potential of mean-force (PMF) between two individual brush strands confirms this analysis, revealing starkly different PMFs under solvophobic and multivalent conditions, suggesting the role of multivalent “bridging” as the discriminating feature in trivalent collapse. Structurally, multivalent ions show a propensity for nucleating order within collapsed brushes, whereas poor-solvent collapsed brushes are more disordered; this difference is traced to the existence of a metastable PMF minimum for poor solvent conditions, and a global PMF minimum for trivalent systems, under experimentally relevant conditions.
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Cites
Fast Parallel Algorithms for Short-Range Molecular Dynamics
Plimpton, S. (1995) · Journal of Computational Physics · doi:10.1006/jcph.1995.1039 · Cited by 44,721 · see citing works
Tethered chains in polymer microstructures
Halperin, A., Tirrell, M., & Lodge, T. P. (2006) · Springer eBooks · doi:10.1007/bfb0051635 · Cited by 1,139 · see citing works
Self-citationThe nature of flexible linear polyelectrolytes in salt free solution: A molecular dynamics study
Stevens, M. J., & Kremer, K. (1995) · The Journal of Chemical Physics · doi:10.1063/1.470698 · Cited by 495 · see citing works
Azzaroni, O. (2012) · Journal of Polymer Science Part A Polymer Chemistry · doi:10.1002/pola.26119 · Cited by 424 · see citing works
Precipitation of highly charged polyelectrolyte solutions in the presence of multivalent salts
de la Cruz, M. O., Belloni, L., Delsanti, M., et al. (1995) · The Journal of Chemical Physics · doi:10.1063/1.470459 · Cited by 341 · see citing works
Surface patterning of nanoparticles with polymer patches
Choueiri, R. M., Galati, E., Thérien‐Aubin, H., Klinkova, A., Larin, E. M., Querejeta‐Fernández, A., Han, L., Xin, H. L., Gang, O., Zhulina, E. B., et al. (2016) · Nature · doi:10.1038/nature19089 · Cited by 328 · see citing works
Polymer brushes: Applications in biomaterials and nanotechnology
Ayres, N. (2009) · Polymer Chemistry · doi:10.1039/b9py00246d · Cited by 264 · see citing works
Collapse of flexible polyelectrolytes in multivalent salt solutions
Solis, F. J., & de la Cruz, M. O. (2000) · The Journal of Chemical Physics · doi:10.1063/1.480763 · Cited by 215 · see citing works
Salt-Induced Collapse and Reexpansion of Highly Charged Flexible Polyelectrolytes
Hsiao, P., & Luijten, E. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.148301 · Cited by 199 · see citing works
Collapse of Spherical Polyelectrolyte Brushes in the Presence of Multivalent Counterions
Mei, Y., Lauterbach, K., Hoffmann, M. W. G., Borisov, O. V., Ballauff, M., & Jusufi, A. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.158301 · Cited by 161 · see citing works
Lateral instabilities in a grafted layer in a poor solvent
Yeung, C., Balazs, A. C., & Jasnow, D. (1993) · Macromolecules · doi:10.1021/ma00060a018 · Cited by 135 · see citing works
Structure of Polyelectrolyte Brushes in the Presence of Multivalent Counterions
Yu, J., Mao, J., Yuan, G., Satija, S., Jiang, Z., Chen, W., & Tirrell, M. (2016) · Macromolecules · doi:10.1021/acs.macromol.6b01064 · Cited by 115 · see citing works
Self-citationLubrication by Polyelectrolyte Brushes
Zhulina, E. B., & Rubinstein, M. (2014) · Macromolecules · doi:10.1021/ma500772a · Cited by 100 · see citing works
Grafted polymers in bad solvents: octopus surface micelles
Williams, D. R. M. (1993) · Journal de Physique II · doi:10.1051/jp2:1993202 · Cited by 99 · see citing works
Carrillo, J. Y., & Dobrynin, A. V. (2009) · Langmuir · doi:10.1021/la901839j · Cited by 67 · see citing works
Farina, R., Laugel, N., Pincus, P. A., & Tirrell, M. (2013) · Soft Matter · doi:10.1039/c3sm51450a · Cited by 61 · see citing works
Self-citationDynamics of Collapse of Flexible Polyelectrolytes in Poor Solvents
Lee, N.-K., & Thirumalai, D. (2001) · Macromolecules · doi:10.1021/ma001604q · Cited by 60 · see citing works
Farina, R., Laugel, N., Yu, J., & Tirrell, M. (2015) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.5b02121 · Cited by 55 · see citing works
Self-citationLateral Structure Formation in Polyelectrolyte Brushes Induced by Multivalent Ions
Brettmann, B., Pincus, P., & Tirrell, M. (2017) · Macromolecules · doi:10.1021/acs.macromol.6b02563 · Cited by 55 · see citing works
Self-citationBridging contributions to polyelectrolyte brush collapse in multivalent salt solutions
Brettmann, B. K., Laugel, N., Hoffmann, N., Pincus, P. A., & Tirrell, M. (2015) · Journal of Polymer Science Part A Polymer Chemistry · doi:10.1002/pola.27959 · Cited by 53 · see citing works
Self-citationPolyelectrolyte brushes in monovalent and multivalent salt solutions
Guptha, V. S., & Hsiao, P. (2014) · Polymer · doi:10.1016/j.polymer.2014.04.035 · Cited by 48 · see citing works
The effect of multivalent counterions to the structure of highly dense polystyrene sulfonate brushes
Yu, J., Mao, J., Yuan, G., Satija, S. K., Chen, W., & Tirrell, M. (2016) · Polymer · doi:10.1016/j.polymer.2016.02.053 · Cited by 44 · see citing works
Self-citationEmergent Properties of Dense DNA Phases toward Artificial Biosystems on a Surface
Bracha, D., Karzbrun, E., Daube, S. S., & Bar‐Ziv, R. (2014) · Accounts of Chemical Research · doi:10.1021/ar5001428 · Cited by 44 · see citing works
Behavior of tethered polyelectrolytes in poor solvents
Zhulina, E. B., Singh, C., & Balazs, A. C. (1998) · The Journal of Chemical Physics · doi:10.1063/1.475498 · Cited by 37 · see citing works
Bundles: End-Grafted Polymer Layers in Poor Solvent
Ross, R. S., & Pincus, P. A. (1992) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/19/2/004 · Cited by 36 · see citing works
Cao, Q., Zuo, C., He, H., & Li, L. (2009) · Macromolecular Theory and Simulations · doi:10.1002/mats.200900037 · Cited by 26 · see citing works
Self-Organized Polyelectrolyte End-Grafted Layers Under Nanoconfinement
Tagliazucchi, M., Li, X., de la Cruz, M. O., & Szleifer, I. G. (2014) · ACS Nano · doi:10.1021/nn502008x · Cited by 23 · see citing works
Flagged first, then by citations
Research works printed but not linked: 26
- [1]1. Halperin, A.; Tirrell, M.; Lodge, T. P. Adv. Polym. Sci. 1992, 100, 31-71.
- [2]2. Ayres, N. Polym. Chem. 2010, 1, 769.
- [3]3. Zhulina, E. B.; Rubinstein, M. Macromolecules 2014, 47, 5825- 5838.
- [4]4. Azzaroni, O. J. Polym. Sci., Part A: Polym. Chem. 2012, 50, 3225- 3258.
- [5]5. Choureiri, R. M.; Galati, E.; Aubin, T.; Klinkova, A.; Larin, E. M.; Querejeta-Fernandez, A.; Han, L.; Xin, H. L.; Gang, O.; Zhulina, E. B.; Rubinstein, M.; Kumacheva, E. Nature 2016, 438, 2-6.
- [6]6. Bracha, D.; Harzbrun, E.; Daube, S. S.; Bar-Ziv, R. H. Acc. Chem. Res. 2014, 47 (6), 1912-1921.
- [7]7. Farina, R.; Laugel, N.; Pincus, P.; Tirrell, M. Soft Matter 2013, 9, 10458.
- [8]8. Farina, R.; Laugel, N.; Yu, J.; Tirrell, M. J. J. Phys. Chem. C 2015, 119, 14805-14814.
- [9]9. Yu, J.; Mao, J.; Yuan, G.; Satija, S.; Jiang, Z.; Chen, W.; Tirrell, M. Macromolecules 2016, 49, 5609-5617.
- [10]10. Yu, J.; Mao, J.; Yuan, G.; Satija, S.; Wei, C.; Tirrell, M. Polymer 2016, 98, 448-453.
- [11]11. Mei, Y.; Lauterbach, K.; Hoffmann, M.; Borisov, O. V.; Ballauff, M.; Jusufi, A. Phys. Rev. Lett. 2006, 97, 158301.
- [12]12. Guptha, V. S.; Hsiao, P. Y. Polymer 2014, 55, 2900-2912.
- [13]13. Cao, Q.; Zuo, C.; He, H.; Li, L. Macromol. Theory Simul. 2009, 18, 441-452.
- [14]14. Olvera de la Cruz, M.; Belloni, L.; Delsanti, M.; Dalbiez, J. P.; Spalla, O.; Drifford, M. J. Chem. Phys. 1995, 103, 5781.
- [15]15. Hsiao, P. Y.; Luijten, E. Phys. Rev. Lett. 2006, 97, 148301- 148304.
- [16]16. Solis, F. J.; Olvera de la Cruz, M. J. Chem. Phys. 2000, 112, 2030-2037.
- [17]17. Brettmann, B. K.; Laugel, N.; Hoffmann, N.; Pincus, P.; Tirrell, M. J. Polym. Sci., Part A: Polym. Chem. 2016, 54, 284-291.
- [18]18. Zhulina, E.; Singh, C.; Balazs, A. C. J. Chem. Phys. 1998, 108, 1175-1183.
- [19]19. Yeung, C.; Balazs, A. C.; Jasnow, D. Macromolecules 1993, 26, 1914-1921.
- [20]20. Ross, R. S.; Pincus, P. Europhys. Lett. 1992, 19, 79-84.
- [21]21. Carrillo, J. M. Y.; Dobrynin, A. V. Langmuir 2009, 25, 13158- 13168.
- [22]22. Lee, N.; Thirumalai, D. Macromolecules 2001, 34, 3446-3457.
- [23]23. Stevens, M. J.; Kremer, K. J. Chem. Phys. 1995, 103, 1669.
- [25]25. Plimpton, S. J. Comput. Phys. 1995, 117, 1-19.
- [26]26. Williams, D. R. M. J. Phys. II 1993, 3, 1313-1318.
- [27]27. Tagliazucchi, M.; Li, X.; Olvera de la Cruz, M.; Szleifer, I. ACS Nano 2014, 8, 9998-10008.
Cited by
Sorted by citations
Multivalent counterions diminish the lubricity of polyelectrolyte brushes
Yu, J., Jackson, N. E., Xu, X., Morgenstern, Y., Kaufman, Y., Ruths, M., de Pablo, J. J., & Tirrell, M. (2018) · Science · doi:10.1126/science.aar5877 · Cited by 207 · see citing works
Multivalent ions induce lateral structural inhomogeneities in polyelectrolyte brushes
Yu, J., Jackson, N. E., Xu, X., Brettmann, B. K., Ruths, M., de Pablo, J. J., & Tirrell, M. (2017) · Science Advances · doi:10.1126/sciadv.aao1497 · Cited by 127 · see citing works
Self-citation
- Authors
- Jackson, N. E., Brettmann, B. K., Vishwanath, V., Tirrell, M., & de Pablo, J. J.
- Affiliations
- Argonne National Laboratory (US)
- University of Chicago (US)
- The University of Chicago , , , ,
- Corresponding author
- Tirrell, Matthew
- Venue
- ACS Macro Letters
- Publisher
- American Chemical Society (ACS)
- Published
- 2017-02-03
- Volume
- 6
- Issue
- 2
- Pages
- 155-160
- ISSN
- 2161-1653 (ISSN-L)
- OpenAlex
- W2585689905
- Cited by
- 63
- References
- 27
- Citations by year
- 2026: 4 · 2025: 8 · 2024: 7 · 2023: 2 · 2022: 4 · 2021: 7 · 2020: 11 · 2019: 7 · 2018: 12 · 2017: 1
- FWCI
- 6.24
- Type
- journal article
- Language
- en
- Open access
- green
- www.osti.gov
- Licence
- Locations
- ACS Macro Letters (publishedVersion)
- PubMed (publishedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- Funders
- Basic Energy Sciences
- Argonne National Laboratory
- Topics
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Electrostatics and Colloid Interactions
- Physical Sciences › Materials Science › Surfaces, Coatings and Films › Polymer Surface Interaction Studies
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Keywords
- polyelectrolyte brushes, brush collapse, solvophobicity, multivalent ions, potential of mean force, umbrella sampling, coarse-grained molecular dynamics, ion bridging, nucleation, metastable states, good and poor solvents
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