Abstract
Tribological properties of surfaces (friction, adhesion and wear) provide challenging limitations to the design of reliable machines on the micro- and nanometer scale as the surface to volume area increases and volume, mass and inertia of the mobile parts decrease. This study reports on the reduction in the friction force of silicon surfaces after the alkali metal ion exposure in the form of aqueous solutions. A scanning force microscope equipped with a liquid cell was used to investigate the friction force and the pull-off force of a flat silicon surface immersed in water and in different alkali metal chlorides solutions: LiCl, NaCl and CsCl. The concentration ranged from 0.1 up to 1000 µmol/l. The changes in the free surface energy of the initial surface and of the modified surfaces after drying were determined from contact angle measurements and from the acid–base adhesion theory. In both cases, in the liquid environment and after drying of the exposed silicon substrates in air, the friction force is reduced by approximately 50 %. Our results provide new, fundamental insight into the exchange of surface termination layers in particular for tribology. Also it is suggested to use the procedure as a low-cost alternative to improve the tribological properties of the silicon surface in particular in applications where lubricating fluids are not appropriate, e.g., in nanomachines and devices.
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1 Introduction
The silicon provides the most established and most commonly used material for micro-electro-mechanical systems (MEMS) due to well-established manufacturing processes capable of forming 3D structures by lithography and etching, but also due to its interesting mechanical and electric properties. Silicon benefits from very little fatigue and is almost perfectly Hookean material. The tribology of the silicon surface has also generated considerable recent research interest due to the fact that its tribological properties need to be improved and modified in order to ensure the reliability of micro-machines. With progressive miniaturization leading to decreasing size of the components, the relative contribution of contact forces and frictional forces to overall dissipative losses and to the kinetic energy of the mobile parts in operation decreases. Furthermore, these boundary conditions imply a different regime of tribology, specifically of rather low loads acting at interfaces. Therefore, solutions avoiding high-viscosity lubricants are sought after. Friction, adhesion and wear provide a significant challenge in the design of reliable MEMS and on these grounds. Nanotribology as a scientific discipline emerged, which comprises the investigation and control of tribological properties on the nanometer scale down to atoms and molecules [1–7]. Surface layers and surface ad-layers in general provide very interesting options here [8–13]. In the case of MEMS, it is particularly important to use surface layers or lubricants that are molecularly thick, easy applied, insensitive to environment and highly durable. Hence, one of the promising solutions is the ionic liquids [14–16]. On the other hand, numerous experiments have established that the water-lubricated ceramic interface provides a very low friction coefficient [17]. This effect has been also observed for the silicon surface [18]. Moreover, it was observed that ion implantation can significantly change the mechanical and tribological properties of the surface layer [19, 20]. In the literature, it is also described that even single-atom-type replacement can significantly change the tribological properties of an interface [21–23]. Therefore, we established the idea of treatment of the silicon surface with simple alkali ions solutions in water. We assume that the presence of alkali ions in the silicon surface (because of the diffusion from the solution) can lead to creation of more stable water film due to electrostatic interactions.
In the present study, we investigate the effect of alkali metal salt solutions in water on the tribological properties of the silicon (100) surface. We use scanning force microscope (SFM) and complementary methods. Specifically, we report about a quantitative and time-dependent study of the surface chemical composition, the significant reduction in the friction force and the modified wetting behavior of flat silicon surfaces hours to days after their immersion in aqueous solutions of alkali metal chlorides.
2 Experimental
The current investigation involved friction force, pull-off force and surface energy measurements of flat silicon (100) n-type surfaces immersed in water and in three different salt solutions: lithium, sodium and cesium chlorides (LiCl, NaCl and CsCl). The concentration of the salt solutions ranged from 0.1 up to 1000 µmol/l in distilled water. Every 2 h the solution was changed to new and fresh one in order to assure the constant concentration of the ions. During the night the sample was put to the closed solution container. Therefore, the changes in the concentration should be insignificant. The experiments were performed with a Veeco Dimension 3100 SFM equipped with a liquid cell. Flat, n-type silicon (100) was used. Before the experiment, the surface was etched in a reactive ion etching (RIE) process, using equal quantities of O2 and CHF3 at 100 m Torr in a 100 W RF plasma. The oxide layer, which was created after the etching due to the contact of the sample with air, is about a few nanometers thick. Due to the RIE process, the silicon surface used in the experiments corresponds to the silicon surface in MEMS devices (they are usually etched by RIE). The applied normal force was equal to approximately 100 nN. This value was chosen due to the fact that it provides a good accuracy and resolution of the changes in the lateral force and still the wear was not observed. Firstly, measurements in the ambient environment were conducted. Later, the tip was immersed in the investigated liquid for 24 h in order to chemically equilibrate the tip’s surface. SFM silicon cantilever with silicon tips from Micromasch was used. The diameter of the cantilever’s tip varied between 100 and 200 nm. The normal spring constants were determined from the resonant frequency and were usually equal to approximately 4 N/m. The sample was immersed in distilled water (this step was omitted when clean water was the liquid to be investigated). In order to investigate the time evolution of the friction force, SFM measurements were conducted in an open liquid cell for the first 8 h of immersion and then in the equilibrium state (after 24 h). Each measurement was done at different places on the sample’s surface. Hence, the influence of rubbing on the results was eliminated. Finally, the sample was dried in air and carefully cleaned with distilled water and isopropyl alcohol. The SFM tip was changed and the measurements were repeated in ambient environment.
In order to determine the friction force, so-called friction loops were acquired (Fig. 1a). The cantilever was moved across the sample in a 90° angle with regard to the long cantilever axis in forward and then backward mode. The torsional flexure of the cantilever due to the frictional forces acting at the given force load was recorded and analyzed in the form of cyclic friction loops. The force measurements were calibrated by using the wedge calibration method, which is based on the earlier method developed by Ogletree et al. [24, 25]. It should be noted that the calibration is only valid for the setup used in the calibration experiment, i.e., for exactly this cantilever used in exactly this setup with the specific position of the laser spot of the beam deflection sensor. The values of the calibration constant were usually equal to approximately 10 nN/mV. In order to measure the pull-off force to withdraw the cantilever tip from the surface, force–distance curves were recorded. These were obtained by slowly lowering the tip onto the sample surface until approach to contact and then further increasing the tip-to-surface load up to a preselected peak force before withdrawing the cantilever again. Figure 1b shows an example of such a curve. Far away from the surface, there is no force acting on the cantilever. Close to the surface, the tip jumps into contact and then starts to deform or indent the sample. The pull-off force is then evaluated from the characteristic kink in the retracting curve which corresponds to the cantilever tip being released from the substrate.
Before the sample was immersed into the liquid for the first time and after the SFM experiments, as well as after drying/cleaning of the solution exposed surfaces, the surface free energy of the silicon surface was determined from contact angle measurements. According to the acid–base theory of adhesion, it is possible to evaluate the surface tension components for the surface under test and therefore the total surface energy using three different test liquids: [26].
where γ d S is the dispersive component of the overall surface free energy γ S , γ + S and γ − S are acidic and basic components, respectively, and γ AB S is the overall acid–base contribution to γ S . In our measurements, we used three different liquids, of which the surface free energy components are well known: water, diiodomethane and glycerol. The components of the surface free energy of the investigated sample were then evaluated from the set of three equations. The measurements in air were done in a clean room, in which the temperature and humidity were controlled. The temperature was 22 °C, and the relative humidity was equal to 55 %.
In order to confirm the presence of the alkali ions, the X-ray photoelectron spectroscopy (XPS) measurement was carried out on the samples immersed in CsCl solution and on those immersed in H2O for reference. XPS was performed in a vacuum chamber at a pressure of ~5·10E − 11 mbar with a monochromatized Al K-alpha radiation at a power of 400 W. The presence of the elements is manifested by the appearance of the respective XPS peaks in a spectrum, i.e., at ~723.7 eV for Cs3d peak and ~198.5 eV for Cl2p peak in alkali halides. Both peaks are split due to spin–orbit coupling, and the respective splitting is 13.9 eV for Cs and 1.6 eV for Cl. All spectra have been shifted to match the binding energy of silicon at 99.3 eV [27, 28].
3 Results
3.1 The Friction Force Reduction
The friction force between the silicon SFM tip and the silicon surface modified by the influence of water and alkali chloride solutions was examined in a first series of the experiments. The data (Fig. 2) show that extended water exposure of the silicon surface reduces the friction force by about 40 % on the timescale of about 5 h. Note that an influence of the surface of the cantilever tip on this timescale can be ruled out because of its equilibration in water for a longer time period before the start of the experiment. A further reduction in the measured friction force occurs after immersion of the sample in salt solutions, i.e., for CsCl (Fig. 2a), NaCl and LiCl (Supplementary Information). In all three cases, the friction force was further reduced by about 70 % with a characteristic half decay time of about 3 h. It should be noted that across the range of the probed concentrations the reduction in the friction force is slightly dependent on the concentration of the solution. Note, however, that at the beginning of the exposure the decrease in the friction force is much faster for higher concentrations. The equilibrium is reached only after about 10 h for 0.1 µmol/l concentrations and already after about 2 h for 1000 µmol/l concentrations. On the contrary, the modification of the frictional force in water levels out after about 5 h. Figure 2a shows the difference in the reduction in the friction force on samples exposed to three salt solutions of 10 µmol/l concentration. The friction force in LiCl solution is lower by approximately 25 % than in CsCl solution. When the friction force was determined from measurements performed in different concentrations, the same trend was observed. It is important to note that the observed reduction in the friction force is persistent, also after removing the sample from the solution and drying. For example, the friction force between the silicon tip and the silicon surface before immersion into the 10 µmol/l solutions was determined as 52 ± 9 nN, whereas after the experiment, when the sample was dried and cleaned it assumed a value of −28 ± 4 nN in the case of sodium and cesium chloride exposure and 24 ± 4 nN in the lithium chloride exposure case. It should be noted that the effect can be reversed by subsequent immersion in water. In this case, after 72 h of immersion and then drying and cleaning, the value of the friction force is back to its initial value.
3.2 Adhesion, Free Surface Energy and XPS Results
To complement our friction force measurements, the adhesion between the cantilever tip and the sample was measured. So-called pull-off force measurements were performed in salt solutions at concentrations of 1 mmol/l. The results are shown in Fig. 3a. It is apparent that the value of the pull-off force is small and it is not altered by the applied salt solutions. Therefore, the change in the value of the adhesion force is not responsible for the changes in the friction force.
Our experiments provide consistent evidence that the ions modify the silicon surface on a rather long timescale of some hours or more. It is striking that also the free surface energy measurements performed after drying and cleaning the samples as they are shown in Fig. 3b confirm with this result (Table 1). The results indicate that the acidic part of the free surface energy and its overall value in all the cases increased about 30 %. Furthermore, XPS measurements (Fig. 4) indicate that samples before and after the modification show similar Si, O and C peaks, in both binding energy position and intensity. Cs and Cl atoms are only present in the samples which were modified by the CsCl solutions, though their relative 1:1 (Cs:Cl) stoichiometry is not conserved and amounts roughly to 9:1 (Supplementary Information). The chemical shift of the Cs3d5/2 peak binding energy by ~1 eV with respect to the Cs metal (~726 eV) suggests a bond formation between Cs and oxygen [27, 28].
4 Discussion
As outlined in the introduction, prior work has documented the effectiveness of self-assembled monolayers to improve the tribological properties of a silicon surface. It was also observed that water reduces the friction force of this surface. In this paper, we tested the alkali chlorides and their influence on these properties and we have discovered that permanent reduction in the friction force may be achieved consequent to the immersion of the silicon sample in one of the following salts solutions in water: LiCl, NaCl or CsCl. Furthermore, we have investigated the time evolution of the changes in the friction force due to the SFM measurements in the liquid cell. It is apparent that by the interaction between the silicon surface and the ions contained in the solutions, a new surface layer is created.
In order to explain the chemistry of this layer the silicon surface, it should be noted that silicon is known to spontaneously form thin layers of oxide on its surface under normal atmospheric conditions. The microstructure of the interface is not clearly understood [29]. It is well known, however, that the interface between silicon and its ultrathin native oxide layer contains a high concentration of defects in the form of silicon dangling bonds (approximately 0.1 nm−1; Fig. 4a) [30]. Therefore, the oxide layer via these dangling bonds can react with water and form silanol groups on the surface (Fig. 4b) [31]:
This process may reduce the friction force and is in line with an earlier experimental report [18]. Our results show a further reduction in the friction force by exposure of the silicon surface to the LiCl, NaCl or CsCl solutions in water. We attribute this effect to the replacement of hydrogen ions at the interface with alkali ions, as depicted (Fig. 4c). At room temperature, the silicon surface is electrically neutral at pH 2 [32]. The lithium, sodium and cesium chloride solutions exhibit a pH of approximately 6, 7 and 8, respectively [32]. At higher pH, the concentration of ≡Si–O− groups is higher and the hydrogen atom replacement reaction should occur faster. This assumption agrees with our results in that the observed reduction in the friction force occurs fastest for cesium chloride solutions and slowest for lithium chloride solutions (Fig. 2b). It is also possible that Cs ions have a higher sticking coefficient on the silicon surface and are absorbed more rapidly. Due to the fact that the alkali ions are bigger than the hydrogen ions, it is plausible that they introduce a higher internal stress to the thin oxide layer of silicon dioxide which may reduce the contact area and influence the friction force. Furthermore, the presence of the alkali ions is responsible for the creation of the more stable water film on the silicon surface due to the electrostatic interactions between water particles and the ions (Fig. 4c). The water film lubricates then the contact between the surface and the SFM tip and reduces friction. The presence of the alkali ions on the surface was further confirmed by the XPS (insets in Fig. 4). The fact that the effect can be reversed by subsequent immersion in water also suggests that the ions diffusion is the explanation of the reduction in the friction force. The distilled water may leach the ions and after drying the silicon surface is back to its initial state.
The changes in the free surface energy (Fig. 3b) provide independent support toward this model: The silanol groups are not well hydrated with water; therefore, they are not stable in air, and water evaporates from the silicon surface; hence, water does not persistently change the free surface energy after drying. On the other hand, alkali ions may permanently bond to the thin oxide layer and influence its free surface energy and wettability. Furthermore, alkali ions are Lewis acids, which explains the increase in only the acidic part of the free surface energy. The strongest effect was observed for cesium chloride solutions. There are two complementary explanations. Firstly, the cesium chloride solutions exhibit the highest pH at the same concentrations, thereby the highest concentration of the ≡Si–O− groups, where ion bonds are created. On the other hand, the cesium ions have the lowest potential to diffuse deeper into the silicon oxide. Hence, most of the Cs ions remain on the surface, bond water and contribute to the observed stronger increase in the acidic part of the free surface energy in comparison with the smaller ions which can diffuse easier. However, to fully explain this effect further research is needed. Evidently, the simple model presented here cannot describe all details of the experimentally observed, persistent and significant reduction in the friction force after exposure of Si to salt solutions.
It should be noted that the chlorides may cause the corrosion of MEMS devices. However, the above-described effect is caused by the alkali ions. Hence, it is possible to modify the surface by other, less aggressive salts, i.e., nitrates. On the other hand, the salt solutions can simulate biological environments in which in the near future MEMS and NEMS (nanoelectromechanical systems) can and should work [33, 34]. The effect of friction force reduction may be very useful for design of such devices. Unfortunately, using MEMS in aqueous environment has some challenges (i.e., viscosity, electrolysis and anodization [35]). Therefore, the effect of friction reduction should be further investigated in order to find out the optimal parameters.
5 Conclusions
To the best knowledge of the authors, the data that show the reduction in friction force due to the influence of the alkali ions on the silicon surface are the first of its kind. Our experiments provide the compelling evidence that the friction force can be reduced by approximately 50 % by immersion in low-concentration alkali metal chlorides solutions in water. We tentatively attribute this effect to the bonding between alkali ions and the silicon surface. The ions contribute to the creation of the more stable water film, which lubricates the contact. These promising results are encouraging and should be explored in different configurations (e.g., by using different ionic compounds and in a wider concentration range). Other tribological properties such as wear on the nanometer and macroscale should also be investigated. This could eventually lead to methods for the low-cost modification of the surface friction coefficients and to new, strong, durable and affordable micro- and nanomachines made of silicon. Furthermore, it may be useful in the technological processes in which the friction force of a silicon surface plays an essential role, i.e., in the nanoimprint lithography.
References
de Boer, M.P., Mayer, T.M.: Tribology of MEMS. Mrs Bull. 26(4), 302–304 (2001). doi:10.1557/mrs2001.65
Jarzabek, D.M., Rymuza, Z., Horiba, A., Hirai, Y.: Development of an experimental technique for testing rheological properties of ultrathin polymer films used in nanoimprint lithography. J. Vac. Sci. Technol. B (2011). doi:10.1116/1.3656377
Stempfle, P., Bourrat, X., Rousseau, M., Lopez, E., Takadoum, J.: Nanotribology of nacre: anisotropic dissipation in a multiscale hybrid material. Tribol. Int. 63, 250–264 (2013). doi:10.1016/j.triboint.2012.09.010
Zimmermann, F.M., Shan, J.W.: Rotational friction of single-wall carbon nanotubes in liquid suspension. Appl. Phys. Lett. 94, 053107 (2009). doi:10.1063/1.3033365
Ghaednia, H., Babaei, H., Jackson, R.L., Bozack, M.J., Khodadadi, J.M.: The effect of nanoparticles on thin film elasto-hydrodynamic lubrication. Appl. Phys. Lett. 103(26), 263111 (2013). doi:10.1063/1.4858485
Jarzabek, D.M., Kaufmann, A.N., Schift, H., Rymuza, Z., Jung, T.A.: Elastic modulus and fracture strength evaluation on the nanoscale by scanning force microscope experiments. Nanotechnology 25(21), 215701 (2014). doi:10.1088/0957-4484/25/21/215701
Stelmachowski, J.M., Rymuza, Z., Eisenmenger-Sittner, C.: Surface properties of AlCuFeB coatings with focus on resolving tribological issues of nanoimprint lithography. RSC Adv. 4(56), 29474–29478 (2014). doi:10.1039/c4ra01888e
Burkinshaw, M., Neville, A., Morina, A., Sutton, M.: The lubrication of both aluminium-silicon and model silicon surfaces with calcium sulphonate and an organic antiwear additive. Tribol. Int. 67, 211–216 (2013). doi:10.1016/j.triboint.2013.07.006
Jarzabek, D., Rymuza, Z., Wada, T., Ohmae, N.: Mechanical and tribological behaviour of carbon nanotube brushes. Int. J. Mater. Res. 99(8), 883–887 (2008). doi:10.3139/146.101716
Jarzabek, D., Rymuza, Z., Ohmae, N.: Friction and adhesion of carbon nanotube brushes. Int. J. Mater. Res. 100(7), 973–977 (2009). doi:10.3139/146.110140
Milligan, J., Shockley, J.M., Chromik, R.R., Brochu, M.: Tribological performance of Al-12Si coatings created via electrospark deposition and spark plasma sintering. Tribol. Int. 66, 1–11 (2013). doi:10.1016/j.triboint.2013.04.006
Stempfle, P., Besnard, A., Martin, N., Domatti, A., Takadoum, J.: Accurate control of friction with nanosculptured thin coatings: application to gripping in microscale assembly. Tribol. Int. 59, 67–78 (2013). doi:10.1016/j.triboint.2012.05.026
Klyatskina, E., Espinosa-Fernandez, L., Darut, G., Segovia, F., Salvador, M.D., Montavon, G., et al.: Sliding wear behavior of Al2O3-TiO2 coatings fabricated by the suspension plasma spraying technique. Tribol. Lett. 59(1), 8 (2015). doi:10.1007/s11249-015-0530-5
Bhushan, B., Palacio, M., Kinzig, B.: AFM-based nanotribological and electrical characterization of ultrathin wear-resistant ionic liquid films. J. Colloid Interface Sci. 317(1), 275–287 (2008). doi:10.1016/j.jcis.2007.09.046
Palacio, M., Bhushan, B.: Ultrathin wear-resistant ionic liquid films for novel MEMS/NEMS applications. Adv. Mater. 20(6), 1194 (2008). doi:10.1002/adma.200702006
Nainaparampil, J.J., Eapen, K.C., Sanders, J.H., Voevodin, A.A.: Ionic-liquid lubrication of sliding MEMS contacts: comparison of AFM liquid cell and device-level tests. J. Microelectromech. Syst. 16(4), 836–843 (2007). doi:10.1109/JMEMS.2007.901628
Tomizawa, H., Fischer, T.E.: Friction and wear of silicon-nitride and silicon-carbide in water—hydrodynamic lubrication at low sliding speed obtained by tribochemical wear. Asle Trans. 30(1), 41–46 (1987)
Kim, D.I., Kim, K.H., Ahn, H.S.: Tribological properties of adsorbed water layer on silicon surfaces. Int. J. Precis. Eng. Manuf. 11, 741–746 (2010)
Takeda, K., Mitsui, K., Tobushi, H., Levintant-Zayonts, N., Kucharski, S.: Influence of nitrogen ion implantation on deformation and fatigue properties of TiNi shape memory alloy wire. Arch. Mech. 65(5), 391–405 (2013). doi:10.1007/s12541-010-0087-z
Swiatek, Z., Michalec, M., Levintant-Zayonts, N., Bonarski, J., Budziak, A., Bonchyk, O., et al.: Structural evolution of near-surface layers in NiTi alloy caused by an ion implantation. Acta Phys. Pol. A 120(1), 75–78 (2011)
Zhang, Y.N., Hanke, F., Bortolani, V., Persson, M., Wu, R.Q.: Why sliding friction of Ne and Kr monolayers is so different on the Pb(111) surface. Phys. Rev. Lett. 106(23), 4 (2011). doi:10.1103/PhysRevLett.106.236103
Krim, J.: Friction and energy dissipation mechanisms in adsorbed molecules and molecularly thin films. Adv. Phys. 61(3), 155–323 (2012). doi:10.1080/00018732.2012.706401
Huang, Q., Yu, D.L., Xu, B., Hu, W.T., Ma, Y.M., Wang, Y.B., et al.: Nanotwinned diamond with unprecedented hardness and stability. Nature 510(7504), 250 (2014). doi:10.1038/nature13381
Ogletree, D.F., Carpick, R.W., Salmeron, M.: Calibration of frictional forces in atomic force microscopy. Rev. Sci. Instrum. 67(9), 3298–3306 (1996). doi:10.1063/1.1147411
Varenberg, M., Etsion, I., Halperin, G.: An improved wedge calibration method for lateral force in atomic force microscopy. Rev. Sci. Instrum. 74(7), 3362–3367 (2003). doi:10.1063/1.1584082
Fowkes, F.M.: Attractive forces at interfaces. Ind. Eng. Chem. 56(12), 40 (1964)
Moulder, J.F.: Handbook of X-ray Photoelectron Spectroscopy. Perkin-Elmer Corp, Eden Praire (1992)
Hwang, C.C., An, K.S., Park, R.J., Kim, J.S., Lee, J.B., Park, C.Y., et al.: Cesium core level binding energy shifts at the O-2/Cs/Si(113) surface. J. Electron Spectrosc. Relat. Phenom. 88, 733–739 (1998). doi:10.1016/S0368-2048(97)00278-8
Munkholm, A., Brennan, S., Comin, F., Ortega, L.: Observation of a distributed epitaxial oxide in thermally grown SiO2 on Si (001). Phys. Rev. Lett. 75(23), 4254–4257 (1995). doi:10.1103/PhysRevLett.75.4254
Dabrowski, J., Casali, R.A., Mussig, H.J., Baierle, R., Caldas, M.J., Zavodinsky, V.: Mechanism of dopant segregation to SiO2/Si(001) interfaces. J. Vac. Sci. Technol. B 18(4), 2160–2164 (2000). doi:10.1116/1.1306310
Cole, D.J., Payne, M.C., Ciacchi, L.C.: Water structuring and collagen adsorption at hydrophilic and hydrophobic silicon surfaces. Phys. Chem. Chem. Phys. 11(48), 11395–11399 (2009). doi:10.1039/b816125a
Sjoberg, S.: Silica in aqueous environments. J. Non-Cryst. Solids 196, 51–57 (1996). doi:10.1016/0022-3093(95)00562-5
Feng, J., Cho, S.K.: Mini and micro propulsion for medical swimmers. Micromachines 5(1), 97–113 (2014). doi:10.3390/mi5010097
Zhang, Y.A., Tao, J.Y., Wang, Y.L., Ren, Z.Q., Liu, B., Chen, X.: The effect of water on the mechanical properties of native oxide coated silicon structure in MEMS. Microelectron. Reliab. 53(9–11), 1672–1675 (2013). doi:10.1016/j.microrel.2013.07.018
Sounart, T.L., Michalske, T.A., Zavadil, K.R.: Frequency-dependent electrostatic actuation in microfluidic MEMS. J. Microelectromech. Syst. 14(1), 125–133 (2005). doi:10.1109/JMEMES.2004.839006
Acknowledgments
This work was done within the framework the Scientific Exchange Programme (SCIEX, project no. 10.021) between the Paul Scherrer Institut and the Warsaw Technical University. The authors would like to thank R. Schelldorfer, C. Spreu, V. Guzenko, A. Lücke and A. Weber for their help and technical assistance. This work has been also partially supported by the European Union in the framework of European Social Fund through the Warsaw University of Technology Development Programme.
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Jarzabek, D.M., Siewert, D., Fabianowski, W. et al. Influence of Alkali Ions on Tribological Properties of Silicon Surface. Tribol Lett 60, 28 (2015). https://doi.org/10.1007/s11249-015-0603-5
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DOI: https://doi.org/10.1007/s11249-015-0603-5