Abstract
In this article, we made a parametric study on the electrophoresis of charge-regulated soft particle. We consider a typical situation where the outer polyelectrolyte layer (PEL) carries zwitterionic functional group (e.g., succinoglycan). In addition, the inner rigid core is considered to be made of either silicon dioxide (SiO2) or titanium dioxide (TiO2), which produces zwitterionic surface charge. The mathematical model adopted here is based on the Poisson-Boltzmann equation for electric potential and Darcy-Brinkman and Stokes equation for the fluid flow across the surface PEL and electrolyte medium, respectively. In our current study, we have restricted ourselves with the low charge and weak electric field assumption. Using semi-analytical method, we solve the governing equations and electrophoretic mobility of core-shell particle is obtained. We have studied extensively the effects of the pH and concentration of bulk electrolyte, charge properties of the inner core surface and outer PEL, radius of the inner core, and thickness of outer PEL, on the overall electrophoretic behavior of the undertaken particle. We have also highlighted the change in sign in electrophoretic mobility by regulating the pertinent parameters governing the problem.
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References
Sonohara R, Muramatsu N, Ohshima H, Kondo T (1995) Difference in surface properties between Escherichia coli and Staphylococcus aureus as revealed by electrophoretic mobility measurements. Biophys Chem 5:273–277
von Smoluchowski M (1921) Elektrische endosmose und strömungsströme. In: Greatz E (ed) Handbuch der elektrizität und des magnetismus. Band II StationA are ströme, Barth, pp 366–428
Hückel E (1924) Die kataphorese der kugel. Physik Z 25:204–210
Henry D (1931) The cataphoresis of suspended particles, Part 1 The equation of cataphoresis. Proceeding in Royal Society A 133:106–129
O’Brien RW, White LR (1978) The electrophoretic mobility of large colloid particles. Journal of Chemical Society Fraday, Transaction 2(74):1607–1626
Ohshima H, Healy TW, White LR (1983) Approximate analytical expression for the electrophoretic mobility of spherical colloidal particles the conductivity of their dillute suspensions. Journal of the Chemical Society, Faraday Trasactions 2: Molecular and Chemical Physics 79:1613–1628
Khair AS (2018) Strong deformation of the thick electric double layer around a charged particle during sedimentation or electrophoresis. Langmuir 34:876–885
Bhattacharyya S, Gopmandal P (2011) Migration of a charged sphere at an arbitrary velocity in an axial electric field. Colloids Surf A Physicochem Eng Asp 390:86–94
Ohshima H (1997) Electrophoretic mobility of a polyelectrolyte-adsorbed particle: effect of segment density distribution. J Colloid Interface Sci 185:269–273
Duval JFL, Wilkinson K, Van Leeuwen HP, Buffle J (2005) Humic substances are soft and permeable: evidence from their electrophoretic mobilities. Environ Sci Technol 39:6435–6445
Donath E, Voigt E (1986) Streaming current and streaming potential on structured surface. J Colloid Interf Sci 109:122–139
Ohshima H, Kondo T (1986) Electrophoresis of large colloidal particles with surface charge layers. Position of the slipping plane and surface layer thickness. Colloid Polym Sci 264:1080–1084
Ohshima H, Kondo T (1987) Electrophoretic mobility and Donnan potential of a large colloidal particle with a surface charge layer. J Colloid Interface Sci 116(2):305–311
Ohshima H (1994) Electrophoretic mobility of soft particles. J Colloid Interf Sci 163:474–483
Ohshima H (1995) Electrophoresis of soft particle. J Colloid Interface Sci 62:189–235
Ohshima H (2002) Modified Hennry function for the electrophoretic mobility of a charged spherical colloidal particle covered with an ion-penetrable uncharged polymer layer. J Colloid Interf Sci 252:119–125
Ohshima H (2006) Electrophoresis of soft particles: analytic approximations. Electrophoresis 27:526–533
Hill RJ, Saville DA, Russel WB (2003) Electrophoresis of spherical polymer coated colloidal particles. J Colloid Interface Sci 258:56–74
Hill RJ, Saville DA (2005) Exact solutions of the full electrokinetic model for soft spherical colloids: electrophoretic mobility. Colloids Surf A Physicochem Eng Asp 267:31–49
Hsu JP, Chen ZS, Tseng S (2009) Effect of electroosmotic flow on the electrophoresis of a membrane-coated sphere along the axis of a cylindrical pore. J Phys Chem B 113:7701–7708
Yeh LS, Hsu JP (2011) Effects of double-layer polarization and counterions condensation on the electrophoresis of polyelectrolytes. Soft Matter 7:396–411
Ghoshal G, Bhattacharyya S, Gopmandal P, De S (2018) Nonlinear effects on electrophoresis of a soft particle and sustained solute release. Transp Porous Media 121:121–133
Chen YY, Hsu JP, Tseng S (2004) Electrophoresis of a pH-regulated, zwitterionic particles: effect of self-induced non uniform surface charge. J Colloid and Interface Sci 421:154–159
Wang N, Yee CP, Chen YY, Hsu JP, Tseng S (2013) Electrophoresis of a pH-regulated zwitterionic nanoparticle in a pH-regulated zwitterionic capillary. Langmuir 29:7162–7169
Boutebba A, Milas M, Rinaudo M (1999) On the interchain associations in aqueous solutions of a succinoglycan polysaccharide. Int J Biol Macromol 24:319–327
Amelio I, Cutruzzola F, Antonov A, Agostini M, Melino G (2014) Serine and glycinemetabolism in cancer. Trends Biochem Sci 39:191–198
Bergen WG, Wu G (2009) Intestinal nitrogen recycling and utilization in health and disease. J Nutr Sci 139:821–825
Zhang XG, Hsu JP, Chen ZS, Yeh LH, Ku MH, Tseng S (2010) Electrophoresis of a charge-regulated soft sphere in a charged cylindrical pore. J Phys Chem B 114:1621–1631
Tseng S, Hsieh TH, Yeh LH, Wang N, Hsu JP (2013) Electrophoresis of a charge-regulated soft sphere: importance of effective membrance charge. Colloids Surf B: Biointerfaces 102:864–870
Yeh LH, Hsu JP (2016) Electrophoretic behavior of pH -regulated soft biocolloids. Encyclopedia of Biocolloid and Biointerface Science 2V Set, pp 946–960
Gopmandal P, Bhattacharyya S, Banerjee M, Ohshima H (2016) Electrophoresis of soft particles with charged rigid core coated with pH-regulated polyelectrolyte layer. Colloid Polymer Science 294:1845–1856
Gopmandal P, Bhattacharyya S, Banerjee M, Ohshima H (2016) Electrophoresis of diffuse soft particles with dielectric charged rigid core grafted with charge regulated inhomogenous polymer segments. Colloids Surf A Physicochem Eng Asp 504:116–125
Ohshima H (2011) Electrophoretic mobility of a highly charged soft particle: relaxation effect. Colloids Surf A Physicochem Eng Asp 376:72–75
Ohshima H (2000) On the general expression for the electrophoretic mobility of a soft particle. J Colloid Interface Sci 228:190–193
Ohshima H (2004) Electrophoretic mobility of a highly charged colloidal particle in a solution of general electrolytes. J Colloid Interface Sci 275:665–679
Duval JFL, Ohshima H (2006) Electrophoresis of diffuse soft particles. Langmuir 22:3533–3546
Gopmandal P, Bhattacharyya S, Ohshima H (2017) Importance of pH-regulated charge density on the electrophoresis of soft particles. Chem Phys 483:165–171
Matin MH, Ohshima H (1983) Viscosity renormalization in the Brinkman equation. Phys Fluids 26:2864
Matin MH, Ohshima H (2015) Combined electroosmotically and pressure driven flow in soft nanofluidics. J Colloid Interface Sci 460:361–369
Hsu JP, Hsieh SH, Tseng S (2017) Diffusiophoresis of a pH-regulated polyelectrolyte in a pH-regulated nanochannel. Sensors Actuators B 252:1132–1139
Landau LD, Lifshitz EM (1966) Fluid mechanics. Pergamon, London
Ohshima H (2016) Approximate analytic expression for the pH-dependentelectrophoretic mobility of soft particles. Colloid Polym Sci 294:1997–2003
Lopez-Voita J, Mandal S, Delgado AV, Toca-Herrera JL, Moller M, Zanuttin F, Balestrino M, Krol S (2009) Electrophoretic characterization of gold nanoparticles functionalized with human serum albumin (HSA) and creatine. J Colloid Interface Sci 332:215–223
Duval JFL, Slaveykova VI, Hosse M, Buffle J, Wilkinson K (2006) Electrodynamic properties of succinoglycan as probed by fluroescence correlation spectroscopy, potentiometric titration, and capillary electrophoresis. J Biomacromol 7:2818–2826
Duval JFL, Werner C, Zimmermann R (2016) Electrokinetics of soft polymeric interphases with layered distribution of anionic and cationic charges. Curr Opin Colloid Inter Sci 24:1–12
Funding
P. P. Gopmandal kindly acknowledge the financial support by Science and Engineering Research Board (SERB), Department of Science & Technology, Government of India, through the project grant (File no. MTR/2018/001021).
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Bharti, Gopmandal, P.P., Sinha, R.K. et al. Electrophoresis of pH-regulated zwitterionic soft particle: a semi-analytical study. Colloid Polym Sci 298, 79–89 (2020). https://doi.org/10.1007/s00396-019-04580-9
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DOI: https://doi.org/10.1007/s00396-019-04580-9