Xing'an
Cao
,
Xuehui
Gan
,
Yitian
Peng
*,
Yongxia
Wang
,
Xingzhong
Zeng
,
Haojie
Lang
,
Jinan
Deng
and
Kun
Zou
College of Mechanical Engineering, Donghua University, Shanghai 201620, China. E-mail: yitianpeng@dhu.edu.cn; Fax: +86 21 67874297; Tel: +86 21 67874297
First published on 27th November 2017
Interfacial friction is of crucial importance to ensure the friction-reducing and anti-wear properties of mechanical microstructures in micro/nanoelectromechanical systems (MEMS/NEMS). An ultra-low frictional interface combining hydrophobic 1H,1H,2H,2H-perfluorodecyltrichlorosilane (FDTS) self-assembled monolayers (SAMs) coated on an AFM tip with mechanically exfoliated molybdenum disulfide (MoS2) nanosheets deposited on a planar Si/SiO2 substrate was achieved. The FDTS SAMs/MoS2 interface between the FDTS SAMs and the MoS2 nanosheets exhibits an ultra-low friction force that is independent of the relative humidity. The incommensurate contact with ultra-low energy dissipation between FDTS and MoS2 nanosheets and hydrophobic surface properties lead to this ultra-low frictional FDTS SAMs/MoS2 interface. Also, the MoS2 nanosheets have a high elastic modulus, which gives them a smaller contact area than the FDTS SAMs and contributes to the low friction. The excellent hydrophobic properties of both the FDTS SAMs and MoS2 enable them to be unaffected by the relative humidity by preventing the capillary interaction. This study paves the way for extensive applications in reducing the friction of nanoscale contact interfaces.
As a 2D lamellar material, MoS2 possesses natural hydrophobic properties and friction-reducing capabilities in the contact interfaces of nanodevices.11 The frictional behavior of a sliding interface depends strongly on the competing chemical interactions at the contact interfaces between the substrate12,13 and the top contact.14,15 MoS2-like layered materials are difficult to adsorb onto small conical or spherical AFM tips. Yong Zhu's group studied the adhesion force of a glass microsphere/graphene interface.16 For a glass microsphere tip, the van der Waals adhesion energy and adhesion force have been found to be very high.16 Guo's group also showed that surface modification is an effective route to decrease the interlayer friction in commensurately heterostructured two-dimensional materials.17 They showed that the van der Waals energy and interlayer electrostatic interaction can be largely suppressed by adsorbed F and O atoms by changing the geometry and charge redistribution of the graphene layers.17 Based on first-principles calculations, friction at the interfaces of commensurate fluorinated-graphene/h-BN and oxidized-graphene/h-BN heterostructures is approximately half that of commensurate graphene/h-BN.17 Luo's group reported a novel lubricating system where graphene microspheres sliding against graphene were developed to achieve low friction in macroscale contact.18 The remarkable friction-reducing performance could be ascribed to the contribution of low shear resistance between the neighboring lamellae of the graphene film and the full coverage of the graphene film.18 Scott Perry et al. investigated the influence of relative humidity (RH) on the friction of single-crystal MoS2 with AFM.19 For bare Si3N4 tips, the friction coefficient was found to increase with an increase of RH from 0% to 80%.19 Water molecules were found to play a role in directly enhancing the shear strength of the sliding interface combining Si3N4 with MoS2.19 However, the FDTS SAM-coated tip can reduce the effect of relative humidity on the frictional properties of MoS2, which needs to be further investigated.
In this paper, a unique interface between a conical AFM tip and a flat substrate was created to study the interfacial friction properties. The conical tip was treated by chemical adsorption of hydrophobic FDTS SAMs and mechanically exfoliated MoS2 nanosheets were deposited on a Si/SiO2 substrate. A wide range of adhesion and friction measurements were carried out on the FDTS SAMs/MoS2 interface under ambient conditions and high relative humidity. The stick–slip behavior of the FDTS SAMs/MoS2 interface was investigated to study the frictional characteristics of the sliding interface. The friction mechanism of the ultra-low frictional FDTS SAMs/MoS2 interface was proposed by quantitative calculation of the contact area and the energy dissipation.
Pull-off force and friction force measurements were performed using silicon probes with a nominally normal spring constant of 3 N m−1 and a tip radius of less than 10 nm (Multi75Al-G, Budget Sensors). The applied normal load decreased initially from 40 nN to −20 nN while the friction measurements were performed by obtaining friction loops for 16 cycles recorded in 500 nm × 500 nm areas with a scanning speed of 1250 nm s−1 in contact mode. The stick–slip behavior of few-layer MoS2 nanosheets was investigated under ambient conditions (20–25 °C and 30–40% RH). Tip–sample adhesion was evaluated by the pull-off force from force–distance measurements in calibrated atomic force microscopy (Asylum Research, MFP-3D-SA, Oxford Instrument). The adhesion force was defined by the maximum force to pull the AFM tip out of contact with the sample surface.
The thickness of the SAMs was 1.74 nm for perfluorodecyltrichlorosilane (FDTS) in ref. 23, which is close to the 1.8 nm that was measured using an ellipsometer in ref. 24.
Fig. S2(a)† shows an optical microscopy image of the MoS2 nanosheets. A topographic image obtained under the tapping mode of AFM is shown in Fig. S2(b).† The deposition of MoS2 on the SiO2 substrate was confirmed by the existence of their two characteristic Raman active modes (Fig. S2(c), ESI†) of mechanically exfoliated MoS2, E2g1 383 cm−1 and A1g 409 cm−1. These vibrational modes have been theoretically and experimentally investigated in bulk MoS2.25 The thickness of the MoS2 nanosheets deposited on the SiO2 substrate measured using an Asylum Research AFM in tapping mode is about 3.1 nm from the cross-sectional height profile (Fig. S2(d), ESI†).
WCA values are 30.6° for the SiO2 substrate, 117.4° for the FDTS SAMs and 96.2° for MoS2. Clearly, the SiO2 substrate is relatively hydrophilic. FDTS SAMs are extremely hydrophobic since their water contact angles (WCAs) exceed 90°. The reason for the higher WCA is assumed to be due to the fact that the functional group –CF3 in FDTS has a relatively lower surface tension than the SiO2 substrate. In addition, naturally defect-free MoS2 nanosheets should be hydrophobic.
It is well known that the WCA is related to the interfacial energy of solid surfaces through Young's equation:26
γsv = γlvcosθ + γsl, |
The basic relation between the work of adhesion and surface energy is given by the Young–Dupre revisited equation:31
Wa = γlv(1 + cosθe), |
Generally, the adhesion force consists of physical interactions, such as van der Waals, electrostatic and capillary forces, and of chemical bonding such as hydrogen bonding. Under atmospheric conditions, the electrostatic force and chemical bonding are usually neglected. The van der Waals force is universal, but a weak force. Therefore, the adhesive force between the tip and the sample is mainly determined by the meniscus force under ambient conditions.30 The meniscus force, Fm, is given as:31
Fm = 2πRγl(cosθ1 + cosθ2) | (1) |
As shown in Fig. 2, the bare Si tip and FDTS SAM-coated Si tip are comparatively used to determine the effect of interfacial chemistry on the adhesive force and friction force of SiO2, FDTS SAMs and MoS2. In fact, due to the low surface energy, the FDTS SAM-coated Si tip weakly interacts with these samples, causing a reduction in the adhesion force compared with that of the bare Si tip. Thereby, it further reduces the friction on the SiO2, FDTS SAMs and MoS2 surfaces.
In order to comprehensively understand the influence of interfacial chemistry on the frictional characterization of different sliding interfaces, friction force (Ff) measurements were performed on sliding interfaces of Si–OH/MoS2, Si/MoS2 and FDTS SAMs/MoS2, under ambient conditions. As can be seen from Fig. 3, the hydroxylated Si tip has a higher friction force and adhesion force than those of the bare Si and FDTS-coated Si tips. The hydrophobic tip has a low surface energy and work of adhesion, which contributes to a low adhesion force and friction force. The hydrophobic tip will be of great advantage in reducing the influence of adhesive forces caused by a capillary bridge of water or by an attractive interaction.19
Fig. 3 (a) Adhesion force and (b) friction force versus load of various sliding interfaces, including Si-OH/MoS2, Si/MoS2 and FDTS SAMs/MoS2. |
Fig. 4 Adhesion force and friction force of frictional interfaces involving Si/SiO2 (a and b), Si-OH/MoS2 (c and d) and FDTS SAMs/MoS2 (e and f), under different levels of relative humidity. |
The friction force is described by the Bowden–Tabor adhesion model for interfacial friction, Ff = τAreal.36 It states that the friction force is proportional to the real contact area (Areal) and to the shear strength (τ).
The Johnson–Kendall–Roberts (JKR) theory for mechanical contacts between elastic solids is adopted to predict the contact area.37 The contact radius a is given by:
(2) |
(3) |
The value of the surface energy for the MoS2 nanosheets is 26.89 mJ m−2. The calculated surface energy for the FDTS SAMs is 7.68 mJ m−2. After the calculation, the assumed values of the contact radii were found to be 12.52 nm for FDTS SAMs and 6.63 nm for the MoS2 nanosheets. The contact area of the FDTS SAMs is larger than that of the MoS2 nanosheets. During the process of calculation, it was found that the lower surface energy of the FDTS SAMs contributes to the lower work of adhesion (W) compared with that of the MoS2 nanosheets. Although the adhesive force of the FDTS SAMs is smaller than that of MoS2, the friction force of FDTS is larger than that of MoS2. This is because the MoS2 nanosheets have a larger elastic modulus and smaller contact area than the FDTS SAMs, which makes the MoS2 nanosheets have a lower friction force and superior lubricating performance.
To gain insight into the competing contributions to the interfacial friction, the AFM results were analyzed with respect to a two-term friction law that combines Amonton's law with the single asperity friction law:40,41
Ff = μL + τA, |
Amontons’ law describes load-dependent frictional behavior, while the single asperity friction law describes adhesion-controlled friction.42–44 Adhesion-controlled friction dominates hydrophilic SiO2 substrates and other hydrophobic samples such as the FDTS SAMs and MoS2 nanosheets. The load-dependent friction law is helpful for explaining the nanotribological properties of the FDTS SAMs and MoS2 nanosheets. The FDTS SAMs are softer than the MoS2 nanosheets, leading to a larger contact area and friction force. The frictional mechanisms of the FDTS SAMs/FDTS SAMs interface and the FDTS SAMs/MoS2 interface are illustrated in Fig. 5. As the tip moves laterally along the FDTS film, it plows into the uncompressed molecules in front of it. These molecules must be significantly compressed toward the substrate or tilted laterally for the tip to pass through. When the FDTS-coated tip slides over MoS2, the interlayer slip and good load-bearing capability of MoS2 allow the tip to easily slide along MoS2. Simultaneously, the FDTS SAMs on the tip experience mobility and deformation under normal force. The FDTS SAMs on the tip become compressed and out of shape under normal load, which is shown in the blue region of Fig. 5.
Fig. 6 shows the lateral force FL recorded on three sliding interfaces including Si–OH/MoS2, Si/MoS2 and FDTS SAMs/MoS2. Note that the applied load is zero during the scanning process. The sawtooth shape of the lateral force is a perfect match between the forward and backward scans, still showing the atomic periodicity of the surface lattice. Theoretically, the lattice constant of MoS2 is assumed to be 0.316 nm (or approximately 0.32 nm). In our experiment, the measured lattice constant of MoS2 remains at the approximation of 0.32 nm, which is close to the true value. However, the characteristics for the stick–slip process possess different features, showing that the stick phase of the hydroxylation-modified Si tip is the strongest, followed by the bare Si tip, and the FDTS SAM-coated Si tip is the weakest. The observed transition can be explained by an empirical one-dimensional Tomlinson-type model. Suppose the tip is dragged over a sinusoidal potential with amplitude E0 and periodicity a.44 The pulling spring, which is extended between the position of the tip xtip and the position of the moving support xtip, has an effective spring constant Keff. The blue line denotes the slope of the stick part, which is taken as an estimate for the effective spring constant Keff in Fig. 6. The deformation lever of the AFM tip can be evaluated by comparing the effective spring constant. The total energy stored in the system can be simplified to:44
(4) |
This assumes a sinusoidal interaction potential with the atomic lattice periodicity, a, and an amplitude E0. Etot reflects the periodic tip–surface interaction, and the elastic energy stored in the spring constant.43 The Keff values of Si–OH/MoS2, Si/MoS2 and FDTS SAMs/MoS2 are 8.3 N m−1, 3.62 N m−1 and 1.67 N m−1, respectively. The effective spring constant of the hydroxylated Si tip is the largest, followed by the bare Si tip, and the FDTS SAM tip is the smallest. The larger Keff leads to higher elastic energy (Etot) stored in the sliding interface, causing more deformation of the spring dragged by the AFM tip under the same load. The increase in total energy means higher friction. With the energy profile given by eqn (5), the instability condition translates into:45
(5) |
(6) |
Here, FmaxL is approximately substituted by lateral force during the stick–slip process. According to Fig. 3, the corresponding friction forces at zero load of Si–OH tip/MoS2, Si/MoS2 and FDTS/MoS2 are 0.77936 nN, 0.42047 nN and 0.08487 nN, respectively. Combining eqn (5) and (6), the calculated η values are 1.842, 2.279 and 0.997, respectively, as shown in Fig. 6. Therefore, the η value is consistent with the stick–slip phenomenon, which means the larger the η value, the stronger the stick–slip behavior. Once the η value < 1, the stick–slip phenomenon is not obvious in Fig. 6(c). During commensurate sliding, topper molecules move synchronously along the MoS2 surface in each period and phase, but they swing randomly and independently for incommensurate sliding.47 Simultaneously, random fluctuations and a much lower average value of the shear stress are observed for incommensurate sliding.48 Hence, the FDTS SAMs slide along the MoS2 surface, achieving ultra-low friction.
Moreover, the stick–slip behaviors of different sliding interfaces involving Si–OH/MoS2, Si/MoS2 and FDTS SAMs/MoS2 at a high relative humidity of 73% are demonstrated in Fig. 7. As shown in Fig. 7, the stick–slip amplitude of Si–OH/MoS2 is the largest, that of Si/MoS2 is medium, and that of FDTS SAMs/MoS2 is the smallest. Interfacial adhesion plays a dominant role in the frictional behavior. This phenomenon can be explained by the generation of a meniscus from the condensed water between the hydroxylated Si tip and the MoS2 surface.49 At higher relative humidity, water molecules gradually fill the hollows in the bare and hydrophilic surface of the silicon tip.50 This results in the formation of additional van der Waals bonds between the bare Si tip and MoS2.50 The hydroxylated tip can easily interact with water vapor to maintain strong adhesion with the MoS2 surface, causing a strong stick–slip phenomenon. However, FDTS SAMs are inert to humid air, reducing the adhesion strength between the Si tip and MoS2, decreasing their shear interaction and friction force.
Fig. 7 Lateral force maps and line profiles of different sliding interfaces involving (a) Si-OH/MoS2, (b) Si/MoS2 and (c) FDTS SAMs/MoS2 interfaces at 73% RH. |
Fig. 8 shows that the stick–slip behavior of the FDTS SAMs/MoS2 interface is not strongly dependent on relative humidity conditions, which agrees with the friction law demonstrated in Fig. 7. Even if water condensation occurs on the silanized Si tip at high relative humidity, it does not cause the formation of a capillary bridge, due to the strong hydrophobicity of the trifluoromethyl layer.49
Fig. 8 Lateral force maps and line profiles of frictional interface combining FDTS SAMs with MoS2 nanosheets under various levels of relative humidity: (a) 17% RH, (b) 45% RH and (c) 73% RH. |
The hydrophilic Si tip (–OH terminated) appears to have a higher adhesion force than hydrophobic alkylsilane (–CF3 terminated) at all relative humidity conditions. Due to the higher surface energy and surface tension, hydrophilic functional groups are sensitive to water molecules, resulting in the formation of a capillary bridge and an increase in the adhesion force.51,52 Meanwhile, the presence of a meniscus between the Si tip or Si–OH tip and MoS2 allows the AFM tip to store more energy to overcome the energy barrier, leading to greater energy dissipation. Conversely, the FDTS SAMs are insensitive to the variation in the relative humidity and have the advantage of preventing the formation of a capillary bridge. It is obvious that the capillary effect was mitigated for the hydrophobic surface during nanoscale contact. FDTS SAMs were exploited to alleviate the adhesive interaction between the AFM tip and MoS2 nanosheets. The friction of the nanoscale contact in ambient air is usually affected by the capillary interaction of water vapor. The interfacial friction was affected by the meniscus force (surface tension and capillary forces) and energy loss in the meniscus movement along with the sliding interface.
Footnote |
† Electronic supplementary information (ESI) available: Detailed experimental procedures and additional characterization data can be found in Fig. S1–S3 and Table S1. Fig. S1 shows the topography and XPS spectra of the Si/SiO2 substrate and FDTS SAMs; Fig. S2 shows the optical microscopy image, AFM topographic image with cross-sectional height profile below, and Raman spectra of the few-layer MoS2 nanosheets; Fig. S3 shows the measuring images of WCAs obtained on Si/SiO2 and FDTS SAMs; Table S1 lists the measured WCAs, calculated work of adhesion and calculated surface energy on Si/SiO2, FDTS and MoS2. See DOI: 10.1039/c7nr06471c |
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