Abstract
Water drops spontaneously accumulate charges when they move on hydrophobic dielectric surfaces by slide electrification. Slide electrification generates electricity with possible applications on tiny devices. The potential of up to 1 KV generated by slide electrification alters wetting and drop motion. Therefore, it is important to know the factors that affect slide electrification. To find out how surfactants affect slide electrification, we measured drop charges of aqueous drops containing cationic CTAB, anionic SDS, and neutral C8E3 sliding on different hydrophobic surfaces. The result is: addition of surfactant significantly reduces the spontaneous charging of moving water drops. Based on zeta potential measurements, confocal microscopy of deposited surface‐active dyes and drop impact studies, we propose that several factors contribute to this suppression of charge separation: (1) Surfactants tend to lower the contact angles, which reduces charge separation. (2) Surfactant adsorption at the solid‐liquid interface can reduce the density of primary ions, particularly for anionic surfactants. (3) Anionic and neutral surfactants are mostly transferred to the liquid‐air interface at the rear of the sliding drop, retaining primary ions within the drop. (4) Deposited cationic surfactant directly reduces the charge of the drop.
Keywords: Charge, Contact electrification, Sliding drop, Surfactant absorption, Zeta potential
Spontaneous charging of moving water drops on hydrophobic surfaces is reduced by the addition of surfactant. The addition of surfactants can (1) reduce the adsorption of primary anions to the solid‐liquid interface, (2) increase the transfer of primary anions to the liquid surface, and (3) co‐deposit cationic surfactants.
When aqueous drops de‐wet hydrophobic solid surfaces, charges spontaneously accumulate inside the drops and leave an opposite charged surface behind. This process is termed “slide electrification” or “contact electrification”.[ 1 , 2 ] Such charge separation can be used to harvest electricity for small‐scale devices applicable in remote and off‐grid areas, to manipulate drop motion, or to modify surface properties. For instance, Xu et al. designed a drop‐based electricity generator with high instantaneous power density, which can light up commercial LEDs.[ 3 ] Sun et al. printed charges on superhydrophobic surfaces with bouncing drop for programmed drop transport.[ 4 ] On the other hand, slide electrification contributes substantially to drop friction [ 5 ] or contact angle hysteresis.[ 6 ] Drop potentials can reach more than 1 KV.[ 7 , 8 , 9 ] Such high potentials may lead to corrosion. For this reason, it is important to clarify under which conditions slide electrification occurs and how to control slide electrification and its influence.
A general strategy to control contact electrification is surface modification. For example, by coupling the electron‐donating and the electron‐accepting component on solid surfaces, Zhang et al. designed noncharging surfaces from non‐conductive polymers [ 10 ] and Jin et al. eliminated solid–solid contact electrification.[ 11 ] By functionalizing hydrophobic surfaces with protons accepted amine‐components, Wong et al. also succeed to tune the charge of sliding water drops on hydrophobic surfaces.[ 12 ] In addition to the modification of solid surfaces, increasing evidences indicate that the components of liquid (salt and pH) also have significant impacts on the charge separation during slide electrification. For example, Helseth showed the existence of an optimal salt concentration, which allows maximum charge transfer when a water front moves across a junction between a hydrophobic dielectric and a metal electrode.[ 13 ] Sosa et al. reported a point of zero charge at pH = 3 for sliding water drops on PTFE surfaces.[ 14 ] Thus, it is crucial to know the role of liquid components to control charge separation either for energy harvest or corrosion prevention. Since water is naturally contaminated, many contaminants strongly enrich at the water's surface and act as surfactants, we need to know the influence of surfactants to estimate how sensitively charge generation depends on clean water or possible contamination.
To evaluate the impact of surfactant on slide electrification, we measured the charge of water drops with cationic, anionic, and nonionic surfactants at comparable critical micelle concentration (CMC) sliding on hydrophobic surfaces. As surfactants, we chose cetyltrimethylammonium bromide (CTAB, >98.0%, Tokyo Chemical Industry Co., Japan), sodium dodecyl sulfate (SDS, >99%, MP Biomedicals Germany GmbH), and n‐octyltrioxyethylene (C8E3, BACHEM, Switzerland) (Table 1, Supporting information SI 1). The setup for the measurement of drop charge was home‐built by coupling a tilted plate and a current amplifier (Figure 1a).[ 2 ] During charge measurement, an ionizing air blower was running in front of the samples. The ionic blowing was strong enough to neutralize the surface between two drops in tens of seconds but so weak that it did not significantly reduce drop charging, while the drop was running down the tilted plate in tens of milliseconds. The syringe size was fixed for all solutions. With increasing surfactant concentration, the drop volume decreased from ∼45 µL to ∼25 µL for ionic surfactants and from ∼45 µL to ∼16 µL for C8E3. We detected the drop current after drops sliding for 4 cm on hydrophobic surfaces by an electrode connected to a current amplifier (SI 2). By integrating the current signal over time during which the peak current appears (typically for a water drop), the cumulative drop charge is obtained. Four different hydrophobic coatings on quartz substrates (76.2 × 25.4 × 1.0 mm3) were measured: (1) monolayers 1H, 1H, 2H, 2H‐perfluorooctadecyltrichlorosilane (PFOTS) prepared by chemical vapor deposition; (2) polydimethylsiloxane brushes (PDMS) prepared by immersion for 24 h into the melt (M w = 6 kg mol−1) at room temperature and excessive rinsing with toluene; (3) 30 ± 5 nm polystyrene films (PS) prepared by dip‐coating from a toluene solution; (4) 60 ± 5 nm Teflon AF1600 thin film (Teflon) also prepared by dip‐coating. Teflon films were also formed on glass slides coated with 5 nm chromium plus 35 nm gold layer. The preparation details are referred to (SI 1).[ 5 ] We used fresh surfaces for each measurement to avoid the influence of deposited surfactant on the surfaces from previous measurements.
Table 1.
Critical micelle concentration (CMC), surface tension (γ) at CMC, diffusion coefficient in water (D) at 25 °C for the three surfactants.
Figure 1.
Screening effect of surfactant on charging of sliding drops. a) The tilted plate setup for charge measurement and high‐speed video recording from the side. To avoid the influence of noise from the high‐speed camera on charge measurement, both measurements were carried out separately. b) Drop currents of water drops containing 0, 0.01, 0.1 and 1 mM CTAB sliding on Teflon‐quartz surfaces. c) Drop charge versus concentration of water drops with different surfactants sliding down Teflon‐quartz surfaces. The concentrations were normalized by division with the respective CMC. d) Drop charge of water drop with 10% CMC CTAB, SDS, and C8E3 on different surfaces. The tilted angle of the surface was 50° for PFOTS‐quartz and PDMS‐quartz samples, 40° for PS‐quartz, and 25° for Teflon‐quartz. e) Drop velocity and f) dynamic contact angles versus slide distance of water drops with 0 mM and 0.1 mM CTAB on Teflon‐quartz and Teflon‐gold surfaces.
When adding surfactant and increasing its concentration, the drop current decreased substantially (Figure S1). One representative example measured on a Teflon‐quartz surface is shown in Figure 1b. The peak current is reduced by more than a factor of 10 when 0.01 mM CTAB was added (1% CMC). Integrating the peak current over the corresponding time gives the drop charge. Drop charges decreased with increasing normalized surfactant concentration for all three surfactants (Figure 1c). We normalized the concentrations in mol L−1 by the respective CMC. The CMC is a measure of the strength of the hydrophobic interaction between the tails of the surfactants. The same hydrophobic interaction leads to adsorption at the water–air and the hydrophobic solid–water interfaces. It is therefore a common scaling factor. The strongest reduction in drop charge was observed with CTAB followed by SDS. The effect of nonionic surfactant was less strong. The reduction of drop charge by adding surfactant occurs for all tested hydrophobic surfaces (Figure 1d). The charge signal even reversed from positive to negative for water drops with 10% CMC CTAB sliding on a PS‐quartz surface (Figure 1d).
Addition of surfactant also decreased the velocity of drops (Figure 1e, solid points). This reduction in velocity is mainly due to the decrease of receding contact angles (Figure 1f), which results in an increase in the contact angle hysteresis, consistent with previous report.[ 15 ] The effect was explained with a Marangoni stress caused by the gradient in surface excess of surfactants at the rear of drops. SDS and C8E3 also have similar screen effect on drop motion (SI 3 and Figure S2).
The drop charge is determined by the deposited surface charge density and the dewetted surface area. Although lower contact angles lead to larger solid–liquid contact areas, the slight increase is however compensated by a decreasing drop size with surfactant. The surface charge is governed by three different effects [ 18 ]: surface chemistry, contact angle, and fluid flow. Surface chemistry determines the surface charge density (σeq) in the electric double layer, which can potentially be separated during dewetting. Contact angle (θ) mainly affects countercharge distribution near contact line, local surface charge near contact line increases for θ >45° while decreases for θ <45°. The impact of fluid flow is quantified by the Peclet number (U: contact‐line velocity, λ: Debye length). Coupling the three effects, the deposited surface charge density (σ s ) can be estimated by . Therefore, to understand why and how surfactants hinder slide electrification, we consider several mechanisms:
1) Surfactants reduce both liquid‐air (γL) and liquid‐solid interfacial energy (γSL) so that contact angles decrease according to Young's equation, cosθ = (γS − γSL)/γL (γS: solid surface energy).[ 19 ] The reduction of static contact angles by additive surfactants with different concentrations is listed in Table S1. Lower contact angles reduce charging, in line with the charge results. However, since the nonionic surfactant C8E3 showed the strongest decrease in contact angles but had only a weakly reduced drop charging, we exclude this effect as the main mechanism.
2) Surfactants affect the fluid flow. Additional surfactants reduce liquid diffusivity and contact‐line velocity. The two effects will partially offset each other and have less influence on charging. Moreover, for ionic surfactants, the Debye length decreases from typically 200–300 nm for distilled water to 10 nm at 1 mM and 4 nm at 8 mM ionic surfactant, and the decreasing Debye length is expected to decrease Pe and increase drop charge, which counteract to the observed decrease in drop charge.[ 7 , 18 ] Thus, the effect of fluid flow should not be the dominant mechanism neither.
3) Surfactant absorption changes surface chemistry. Surfactants adsorb to the hydrophobic solid–liquid interface due to hydrophobic bonding between surfactant tails and hydrophobic surfaces. Since hydrophobic surfaces normally tend to be charged negatively in contact with water,[ 20 , 21 , 22 , 23 , 24 ] cationic CTAB can further absorb to the solid–liquid interface by Coulombic attraction. Despite Coulombic repulsion, anionic SDS absorbing on the negatively charged hydrophobic surfaces is still possible when the hydrophobic‐bonding force overcomes the Coulombic repulsion.[ 25 ] This adsorption may change the surface chemistry and therefore surface charge density (σeq) in the electric double layer.
4) For ionic surfactant, there may be a direct charge deposition by remaining on the solid surface behind the drop. Charged surfactant could remain adsorbed to the solid surfaces or could be transferred at the rear contact line from the bulk driven by the increasing potential in the moving drop.
To gain more insight into adsorption of surfactant to the solid–liquid interface, we measured zeta potentials at the interface between aqueous solutions with 100% CMC surfactants concentration and our hydrophobic surfaces (SI 4). The zeta potentials were derived from streaming potentials and streaming currents using an electrokinetic analyzer (SurPASS 3, Anton Parr, Austria) at pH around 5.5–6.0. We used 0.5 mM KCl aqueous solution as a reference, the zeta potential was around −30 mV for different hydrophobic surfaces (Figure 2a, grey). This value agrees with the zeta potential reported in the literature. [ 26 , 27 ] The negative zeta potential of hydrophobic surfaces in salt solutions is usually interpreted by an enrichment of hydroxyl groups. [ 28 , 29 , 30 ] Here, we call the ions, which dominate the surface potential in the absence of surfactant primary ions. With 100% CMC CTAB, the zeta potential reversed sign and changed to +60 mV for all the tested hydrophobic surfaces (Figure 2a, yellow). In 100% CMC SDS, the zeta potential became even more negative than the reference KCl solution, about −60 mV (Figure 2a, blue). 100% CMC C8E3 slightly reduced the zeta potential to about −22 mV (Figure 2a, green).
Figure 2.
Proof of concept of the mechanism. a) Zeta potential and b) conductivity of aqueous solutions with 0.5 mM KCI or 100% CMC surfactant at different hydrophobic surfaces on quartz substrates. c) Drop charge of water with 0.1 mM fluorescein, eosin G, and rhodamine 6G sliding on the Teflon‐quartz surfaces and PS‐quartz surfaces. d) Confocal images of drop paths with ∼6 cm length and 6 mm width after water drops with fluorescein, eosin G, and rhodamine 6G at a concentration of 0.1 mM sliding on the fresh PDMS‐quartz surfaces.
When adding surfactants, the conductivity of the liquid changes as well (Figure 2b). To avoid the influence of liquid conductivity on zeta potential measurements, we unified liquid conductivity by using the same surfactant concentration and adding additional 0.5 mM KCl in C8E3 solution. In this control measurement, the trends of zeta potential (Figure S3) are identical to those in the Figure 2a. Similar changes in zeta potential have been reported on hydrophobic surfaces.[ 28 , 29 , 30 ] The change of zeta potential by surfactants demonstrates the absorption of surfactant at the solid–liquid interface.
An important question is whether absorbed surfactant remains on the solid surface after dewetting, which would directly imply a charge or surfactant deposition. To answer this question, we used fluorescent dyes to mimic surfactants. By measuring the fluorescence intensity of the sliding drop path on solid surfaces with confocal microscopy after dewetting, we determined the intensity of deposited dye on the solid surface (SI 5). Three dyes with diffusion coefficient of were used: cationic Rhodamine 6G, anionic Eosin G, and nonionic Fluorescein.[ 31 , 32 , 33 ] Although they do not have an amphiphilic structure as a classical surfactant their CMC is comparable and they show a similar surface tension versus concentration dependency.[ 31 ] The charge of water drops with 0.1 mM (around 10% CMC) dye was identical to the case of water drop with 10% surfactants (Figure 2c). We presume that the deposition of dyes on the hydrophobic surfaces is comparable to the deposition of surfactants.
The fluorescence images in Figure 2d show the drop paths after a water drop with 0.1 mM dye sliding down a pristine PDMS‐coated quartz surface. The fluorescence intensity of drop path with cationic Rhodamine 6G was much larger than the other two, indicating more Rhodamine 6G was deposited on the surface after dewetting (Figures 2d and S4). Based on the reduction of drop charge by Rhodamine 6G compared with pure water (Figure 2c), we estimated a mean spacing between deposited Rhodamine 6G molecules of ≈200 nm (SI 8). Cationic dye deposited on the surface could be due to the absorbed dye at the liquid–solid interface un‐desorbed when contact‐line recedes, or it is transferred at the rear of contact line from the bulk driven by the increasing potential in a moving drop. Almost no anionic and nonionic surfactant dye residues appear after dewetting. This indicates that the pre‐absorbed surfactant at the solid–liquid interface desorbed again by receding contact line due to the capillary force.[ 34 ]
Based on the experimental observations, we interpret the reduction of charge separation by surfactants with a two‐step model. First, surfactants are adsorbed at the liquid–solid interface (Figure 3, pathway 1). Surfactant adsorption is verified by zeta potential measurements. Adsorption is driven by hydrophobic interactions and either enhanced (for CTAB) or weakened (for SDS) by electrostatic interactions. It is well established that cationic, neutral, and anionic charged surfactants adsorb to hydrophobic surfaces.[ 35 , 36 , 37 , 38 , 39 ] Even at concentrations below the CMC, a large part of the solid surface is shielded by the surfactant. As a result, fewer primary ions can bind to the solid surface.
Figure 3.
Mechanisms for the screen effect of surfactant on slide electrification. 1) Surfactants and ions reversibly absorb to the solid–liquid interface, which changes the surface chemistry; 2) Part of the physiosorbed surfactants desorb at receding contact line due to capillary force during dewetting; 3) The deposition of primary ions and surfactant to the solid surface after dewetting leads to the net surface charge. The red minus signs indicate the primary ions.
The second step takes place at the rear of the contact line. Most of the surfactant is transferred to the water–air interface (Figure 3, pathway 2) or diffuses back into the bulk. Only a tiny fraction of the adsorbed surfactant is deposited behind the drop during dewetting. This is similar to the low deposition of dye indicated by the weak fluorescence behind sliding drops. Only for the strongly adsorbed cationic surfactant, CTAB can partially remain on the solid surface (Figure 3, pathway 3).
In the case of cationic CTAB, the strong decrease in charge separation can be explained by the charge compensation. Even if only a small fraction of the positively charged CTAB remains on the solid surface (Figure 3, pathway 3), they compensate for the negative surface charges. To estimate how many CTAB molecules must be deposited to neutralize the primary anions, we assume a typical surface charge density of − 10 µC m−2 deposited behind a water drop with drop charge,[ 2 , 18 ] which corresponds to 6 × 1013 unit charges per m2. Thus, one deposited CTAB cation every 130 nm is sufficient to neutralize the surface. Compared to the surface excess of CTAB at the CMC of the order of 1018 molecules m−2,[ 36 , 38 ] even a tiny fraction of the absorbed CTAB deposited on the solid surface can shield and even reverse the primary negative surface charge. We confirmed the low amount of deposited CTAB by the fact that the movement of the first drop is almost identical to that of subsequent drops within reasonable errors (Figure S5).
Of the three surfactants used, the nonionic C8E3 showed the least reduction in charge separation as compared to pure water. Surfactant tails shield the solid surface from primary ions, reducing the solid–liquid charge density. Simulations show that a 25% reduction in uncovered surface area reduces the maximum possible surface charge deposition by 10% (Figure S6).
Anionic SDS further reduces charge separation compared with nonionic C8E3. We attribute this to a reduction in the density of the primary ions. The negative charges of the adsorbed SDS prevent primary ions from accumulating at the solid–liquid interface. The increase in the surface potential was confirmed by the larger negative zeta potential (Figure 2a). According to the charge regulation model (SI 7),[ 18 ] surfactant absorption reduces the chemically bound surface charge at the solid–liquid interface. We speculate that a major effect reducing the density of primary ions to be deposited behind the drop is caused by the transfer of adsorbed surfactant to the liquid–air interface at the rear contact line. These surfactants can take primary ions with them.
Is there enough time for the surfactant to diffuse to the liquid–solid interface and cover a significant part of the interface? In a tilted plate experiment, a given area of the solid surface is only wetted for a short time. For example, a 6 mm long drop moving at 0.2 m s−1 will contact a given area for 30 ms. In contrast, all adsorption and zeta potential measurements were made over much longer time scales. To estimate how quickly an adsorption equilibrium is reached, we calculate the characteristic time for surfactant diffusion to an interface as .[ 40 , 41 , 42 ] Here, Γ0 is the surface excess at equilibrium and c is the concentration of the surfactant in the bulk. For example, for C8E3 at the CMC and Γ0 = 3.6 × 1018 m−2 [ 43 ] we get τ = 14 ms. Thus, the surface excess is therefore close to equilibrium. However, at lower concentrations, τ is longer than typical contact times so the adsorbed amount does not reach equilibrium. Nevertheless, a significant amount of surfactant covers the solid–liquid interface at the rear of the drop.
Besides sliding drops, surfactants also screen slide electrification on bouncing drops. To measure the drop charge of bouncing drops with surfactants, we used a home‐built setup reported before (Figure 4a)[ 44 ] (SI 6). Briefly, we recorded drop bouncing on soot‐templated superhydrophobic surfaces from the side by a high‐speed camera (Figure 4b, SI 2). An electric field is applied horizontally. Due to the net charge in the drop, the drop deflects from an initial position (x 0, t 0) to the side (x, t) after bouncing off the surface in the external electric field of field strength E. The drop charge (q) is quantified based on the electrostatic force (F = qE = ρVa, a: acceleration, V: drop volume, ρ: drop density) for the deflection (). That is . For a 5 µL water drop bounces on the soot‐templated superhydrophobic surface, the drop charge is typically , consistent with our previous report.[ 44 ] The less charge of bouncing drops on superhydrophobic surface than sliding drops on hydrophobic surface is due to much smaller drop size and lower contact area. The deflection of bouncing drops decreased with increasing CTAB concentration (Figure 4c), demonstrating a decrease in drop charge (Figure 4d). The decrease of drop charge with surfactant concentration is in line with the trend of sliding drops. The reduction of drop charge for bouncing drop also occurs with 10% CMC SDS and 10% C8E3 (Figure 4e). The reduction of bouncing drop charge is comparable between all three different surfactants. We attribute this to the influence of the applied electric field on the absorption of surfactant during measurements and the different surface topography of superhydrophobic surfaces compared to flat hydrophobic surfaces. Therefore, the screen effect of surfactant on slide electrification is universal.
Figure 4.
Screen effect of surfactant for bouncing drops. a) The setup for charge measurement by bouncing drop. x 0 and t 0 are the position and time when the bouncing drop first leaves the surface. x and t are the position and time when the drop contacts the surface again. U is the applied voltage between the two parallel copper plate with distance d. Aluminum tube is used to prevent drop polarization. b) Scanning electron microscopy image of a candle soot templated superhydrophobic surface. The scale bar is 1 µm. c) Image sequence of bouncing water drops with CTAB at different concentration in electric field of 100 KV m−1. The syringe size is fixed. With increasing surfactant concentration, drop volume decreases from ∼5 µL to ∼3 µL. d) Drop charge versus CTAB concentration after bouncing on superhydrophobic surfaces. d) Drop charge of different liquid drops after bouncing on superhydrophobic surfaces.
While this manuscript was under review, Helseth observed a similar reduction of charging by surfactants when dewetting a plate coated with fluorinated ethylene propylene.[ 45 ]
In conclusion, we found that surfactants screen slide electrification and its influence on drop motion. The screening effect occurs for both ionic and nonionic surfactants resulting in the charge reduction. Cationic CATB reduces charge most due to charge compensation by the deposition of CTAB on the solid surface after dewetting. Anionic SDS and nonionic C8E3 reduce charge less. We attribute the reduction by SDS and C8E3 to 1) their absorption shielding solid surface from primary ions at the solid–liquid interface and 2) their desorption further taking away primary ions from the solid–liquid interface to the liquid–air interface. The screen effect by surfactant might help to get rid of possible surface corrosion due to the high potential formed by slide electrification.
Supporting Information
The authors have cited additional references within Supporting Information.[ 46 , 47 , 48 , 49 , 50 , 51 ]
Conflict of Interests
The authors declare no conflict of interest.
Supporting information
Supporting Information
Acknowledgements
The authors would like to thank Rüdiger Berger, Aaron D Ratschow, and Tobias Baier for the discussion. This work was supported by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (grant agreement no. 883631) (X.L., H.‐J. B.). X.Z. and Z.N. would like to thank the China Scholarship Council (CSC) for the financial support.
Open access funding enabled and organized by Projekt DEAL.
Li X., Ni Z., Zhou X., Bauer L. S., Diaz D., Schäfer G., Butt H.‐J., Angew. Chem. Int. Ed. 2025, 64, e202423474. 10.1002/anie.202423474
Contributor Information
Xiaomei Li, Email: xiaomei.li@chem.ethz.ch.
Hans‐Jürgen Butt, Email: butt@mpip-mainz.mpg.de.
Data Availability Statement
The data that support the findings of this study are available in the supporting information of this article.
References
- 1. Yatsuzuka K., Mizuno Y., Asano K.,; J. Electrost. 1994, 32, 157–171. [Google Scholar]
- 2. Stetten A. Z., Golovko D. S., Weber S. A., Butt H. J., Soft Matter 2019, 15, 8667–8679. [DOI] [PubMed] [Google Scholar]
- 3. Xu W., Zheng H., Liu Y., Zhou X., Zhang C., Song Y., Deng X., Leung M., Yang Z., Xu R. X., Wang Z. L., Zeng X., Wang Z., Nature 2020, 578, 392–396. [DOI] [PubMed] [Google Scholar]
- 4. Sun Q., Wang D., Li Y., Zhang J., Ye S., Cui J., Chen L., Wang Z., Butt H. J., Vollmer D., Deng X., Nat. Mater. 2019, 18, 936–941. [DOI] [PubMed] [Google Scholar]
- 5. Li X., Bista P., Stetten A. Z., Bonart H., Schür M. T., Hardt S., Bodziony F., Marschall H., Saal A., Deng X., Berger R., Weber S. A. L., Butt H. J., Nat. Phys. 2022, 18, 713–719. [Google Scholar]
- 6. Li X., Ratschow A. D., Hardt S., Butt H. J., Phys. Rev. Lett. 2023, 131, 228201. [DOI] [PubMed] [Google Scholar]
- 7. Bista P., Ratschow A. D., Butt H. J., Weber S. A., J. Phys. Chem. Lett. 2023, 14, 11110–11116. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 8. Xu W., Jin Y., Li W., Song Y., Gao S., Zhang B., Wang L., Cui M., Yan X., Wang Z., Sci. Adv. 2022, 8, eade2085. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 9. Li L., Li X., Deng W., Shen C., Chen X., Sheng H., Wang X., Zhou J., Li J., Zhu Y., Zhang Z., Yin J., Guo W., Sci. Adv. 2023, 9, eadi2993. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 10. Zhang X., Huang X., Kwok S. W., Soh S., Adv. Mater. 2016, 28, 3024–3029. [DOI] [PubMed] [Google Scholar]
- 11. Jin Y., Xu W., Zhang H., Zheng H., Cheng Y., Yan X., Gao S., Wang D., Zi Y., Zhou F., Wang Z., Matter 2021, 4, 290–301. [Google Scholar]
- 12. Wong W. S. Y., Bista P., Li X., Veith L., Sharifi‐Aghili A., Weber S. A. L., Butt H.‐J., Langmuir 2022, 38, 6224–6230. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 13. Helseth L. E., Langmuir 2020, 36, 8002–8008. [DOI] [PubMed] [Google Scholar]
- 14. Sosa M. D., Ricci M. L., Missoni L. L., Murgida D. H., Cánneva A., D'Accorso N. B., Negri R. M., Soft Matter 2020, 16, 7040–7051. [DOI] [PubMed] [Google Scholar]
- 15. Henrich F., Fell D., Truszkowska D., Weirich M., Anyfantakis M., Nguyen T. H., Wagner M., Auernhammer G. K., Butt H. J., Soft Matter 2016, 12, 7782–7791. [DOI] [PubMed] [Google Scholar]
- 16. Al‐Soufi W., Piñeiro L., Novo M., J. Colloid Interface Sci. 2012, 370, 102–110. [DOI] [PubMed] [Google Scholar]
- 17. Straub B. B., Schmidt H., Rostami P., Henrich F., Rossi M., Kähler C. J., Butt H. J., Auernhammer G. K., Soft Matter 2021, 17, 10090–10100. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 18. Ratschow A. D., Bauer L. S., Bista P., Weber S. A., Butt H. J., Hardt S., Phys. Rev. Lett. 2024, 132, 224002. [DOI] [PubMed] [Google Scholar]
- 19. Milne A. J., Elliott J. A., Zabeti P., Zhou J., Amirfazli A. J., Phys. Chem. Chem. Phys. 2011, 13, 16208–16219. [DOI] [PubMed] [Google Scholar]
- 20. Weidenhammer P., Jacobasch H. J., J. Colloid Interface Sci. 1996, 180, 232–236. [Google Scholar]
- 21. Kirby B. J., Hasselbrink E. F., Electrophoresis 2004, 25, 203–213. [DOI] [PubMed] [Google Scholar]
- 22. Healy T. W., Fuerstenau D. W., J. Colloid Interface Sci. 2007, 309, 183–188. [DOI] [PubMed] [Google Scholar]
- 23. Zimmermann R., Rein N., Werner C., Phys. Chem. Chem. Phys. 2009, 11, 4360–4364. [DOI] [PubMed] [Google Scholar]
- 24. Beattie J. K., Gray‐Weale A., Angew. Chem. Int. Ed. 2012, 51, 12941–12942. [DOI] [PubMed] [Google Scholar]
- 25. Paria S., Khilar K. C., Adv. Colloid Interface Sci. 2004, 110, 75–95. [DOI] [PubMed] [Google Scholar]
- 26. Gulgonul I., Physicochemical Problems of Mineral Processing 2019, 55, 792–801. [Google Scholar]
- 27. Liu Z., Song Y., Li D., J. Colloid Interface Sci. 2020, 578, 116–123. [DOI] [PubMed] [Google Scholar]
- 28. Marinova K. G., Alargova R. G., Denkov N. D., Velev O. D., Petsev D. N., Ivanov I. B., Borwankar R. P., Langmuir 1996, 12, 2045–2051. [Google Scholar]
- 29. Lützenkirchen J., Preočanin T., Kallay N., Phys. Chem. Chem. Phys. 2008, 10, 4946–4955. [DOI] [PubMed] [Google Scholar]
- 30. Grosjean B., Bocquet M. L., Vuilleumier R., Nat. Commun. 2019, 10, 1656. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 31. Smith McWilliams A. D., Ergülen S., Ogle M. M., de los Reyes C. A., Pasquali M., Martí A. A., Pure Appl. Chem. 2020, 92, 265–274. [Google Scholar]
- 32. Gendron P. O., Avaltroni F., Wilkinson K. J., J. Fluoresc. 2008, 18, 1093–1101. [DOI] [PubMed] [Google Scholar]
- 33. Wu B., Chassé W., Zick K., Mantle M. D., Heise A., Brougham D. F., Litvinov V. M., J. Controlled Release 2020, 327, 150–160. [DOI] [PubMed] [Google Scholar]
- 34. Franiatte S., Tordjeman P., Ondarçuhu T., Phys. Rev. Lett. 2021, 127, 065501. [DOI] [PubMed] [Google Scholar]
- 35. Connor P., Ottewill R. H., J. Colloid Interface Sci. 1971, 37, 642–651. [Google Scholar]
- 36. Desai T. R., Dixit S. G., J. Colloid Interface Sci. 1996, 179, 544–551. [Google Scholar]
- 37. Dutschk V., Breitzke B., Tenside Surfactants Detergents 2005, 42, 82–87. [Google Scholar]
- 38. Wei Z., Piantavigna S., Holt S. A., Nelson A., Spicer P. T., Prescott S. W., Langmuir 2018, 34, 9141–9152. [DOI] [PubMed] [Google Scholar]
- 39. Warr G. G., Curr. Opin. Colloid Interface Sci. 2000, 5, 88–94. [Google Scholar]
- 40. Ward A. F. H., Tordai L., J. Chem. Phys. 1946, 14, 453–461. [Google Scholar]
- 41. Ginley G. M., Radke C. J., ACS Symp. Ser. 1989, 396, 480–501. [Google Scholar]
- 42. Kanokkarn P., Shiina T., Santikunaporn M., Chavadej S., Colloids & Surfaces A 2017, 524, 135–142. [Google Scholar]
- 43. Kumar N., Garoff S., Tilton R. D., Langmuir 2004, 20, 4446–4451. [DOI] [PubMed] [Google Scholar]
- 44. Díaz D., Garcia‐Gonzalez D., Bista P., Weber S. A., Butt H. J., Stetten A., Kappl M., Soft Matter 2022, 18, 1628–1635. [DOI] [PubMed] [Google Scholar]
- 45. Helseth L. E., Langmuir 2025, 141, 9716–9728. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 46. Deng X., Mammen L., Butt H.‐J., Vollmer D., Science 2012, 335, 67–70. [DOI] [PubMed] [Google Scholar]
- 47. Shumaly S., Darvish F., Li X., Saal A., Hinduja C., Steffen W., Kukharenko O., Butt H.‐J., Berger R., Langmuir 2023, 39, 1111–1122. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 48. Zhou X., Ji Y., Ni Z., Lopez J. G., Peneva K., Jiang S., Knorr N., Berger R., Koynov K., Butt H.‐J., Adv. Mater. 2025, 2420263. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 49. Atkins P. W., de Paula J., Keeler J. J., Atkins’ Physical Chemistry, 11th ed., Oxford University Press, Oxford, UK: 2018. [Google Scholar]
- 50. Huang D. M., Sendner C., Horinek D., Netz R. R., Bocquet L., Phys. Rev. Lett. 2008, 101, 226101. [DOI] [PubMed] [Google Scholar]
- 51. Thompson P. A., Robbins M. O., Phys. Rev. Lett. 1989, 63, 766–769. [DOI] [PubMed] [Google Scholar]
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Data Availability Statement
The data that support the findings of this study are available in the supporting information of this article.