Direct measurement of electrostatic fields using single Teflon nanoparticle attached to AFM tip

Abstract A single 210-nm Teflon nanoparticle (sTNP) was attached to the vertex of a silicon nitride (Si3N4) atomic force microscope tip and charged via contact electrification. The charged sTNP can then be considered a point charge and used to measure the electrostatic field adjacent to a parallel plate condenser using 30-nm gold/20-nm titanium as electrodes. This technique can provide a measurement resolution of 250/100 nm along the X- and Z-axes, and the minimum electrostatic force can be measured within 50 pN. PACS 07.79.Lh, 81.16.-c, 84.37. + q


Background
Measuring the electrical properties of devices at the micro/nanoscale is an important issue in the semiconductor industry and in materials science [1][2][3][4]. Electrical modes in scanning probe microscopy (SPM) [5] have become an essential tool in characterizing the electrical properties at the surface of samples, providing spatial resolution and sensitivity at the micro/nanoscale. Several methods have been developed for the measurement of surface electrical properties and local surface potential, such as electrostatic force microscopy [2,3] and Kelvin probe force microscopy [6,7]. The basic principle behind these techniques [5] is applying a direct current (DC) bias between the conductive probe and the sample to facilitate the recording of variations in the electrostatic force between the probe and sample. These signals are then analyzed in order to interpret the associated surface electrical properties. Jenke et al. [8] used a Pt-coated Si tip with a radius of about 380 nm to probe the electrostatic force generated above embedded nanoelectrodes in the vertical (Z) direction. The electrostatic force acting on a grounded conductive tip within an electrostatic field can also be characterized. In this approach, the electrostatic force acting on the atomic force microscopy (AFM) tip comprises Coulombic, induced charge, and image charge forces [9][10][11]. However, only the Coulombic force is capable of directly revealing the electrical properties of the sample because the two other terms are the result of the AFM tip effect. Kwek et al. [10] glued a charged microparticle to an AFM cantilever to investigate the relative contributions of the Coulombic, induced charge, and image charge forces in the electrostatic force acting on the charged particle; however, the diameter of the charged particle was approximately 105 to 150 μm, which is unsuitable for measurement at the nanoscale. This paper presents a novel microscopy probe for the direct measurement of electrostatic field (mainly Coulombic force) beside the top electrode of the parallel plate, at a spatial resolution of 250 nm and force resolution of 50 pN ( Figure 1). The proposed probe comprises a single 210-nm Teflon nanoparticle (sTNP) attached to the vertex of an insulated Si 3 N 4 AFM tip (sTNP tip) with charge deposited on the sTNP as an electret via contact electrification [2,[12][13][14]. The parallel plate condenser was fabricated by sputtering layers of Au (30-nm thick) and Ti (20-nm thick) on the top and bottom sides of a 1 × 1 cm glass slide (181 ± 0.25 μm thick). Au was used as the electrode surface and Ti as an adhesion layer. The glass slide was used as the dielectric material. The sTNP tip can be considered a point charge with which to probe the electrostatic force field beside the top electrode of the parallel plate condenser. The electrostatic force acting on the sTNP tip provides direct information related to the local electrostatic field generated in the sample. This technique provides the following advantages: (1) direct measurement of the electrostatic field of a sample is without complex operations or the need for an analytic model, and (2) minimum measurable electrostatic force is within 50 pN with a lateral/vertical spatial resolution of 250/100 nm, respectively.

Methods
The process of fabricating the sTNP tip  (Figure 2b), respectively. The normal spring constant of the insulating Si 3 N 4 AFM tip was measured at 0.053 N/m using the thermal noise method [15] with JPK software (JPK Instrument, Berlin, Germany). In order to attach the 210-nm sTNPs, a flat square area with edge length of 300 nm at the vertex of the tip (Figure 2e Corp., Way Rocky Hill, CT, USA) several microns in size were spread over the glass slide using a needle. In the application of light-curable adhesive, we employed an inverted optical microscope (IX 71, Olympus) to ensure uniformity in the size of droplets (approximately 5 μm) on the scale of the base length (approximately 4.5 μm) of the pyramidal AFM tip. The cleaned Si 3 N 4 AFM tip was then mounted on the NanoWizard AFM scanner (JPK Instrument) and brought into contact with the adhesive droplet ( Figure 2f ). This allowed the placement of a small quantity of adhesive on the flat top of the AFM tip. The tip was then put into contact with the TNP layer deposited on the glass slide ( Figure 2g). The TNP layer was prepared by drying a 30-μl droplet (200 nm in diameter) of 5% polytetrafluoroethylene (PTFE) aqueous dispersion (Teflon PTFE TE-3893, DuPont, Wilmington, DE, USA) on the glass slide. PTFE has been shown to possess excellent performance characteristics with regard to charge storage and is widely used in electret applications [16]. The adhesive was cured by exposure to UV radiation illuminated from a spot UV system (Aicure ANUP 5252 L, Panasonic, Osaka, Japan) at 3,000 mW/cm 2 for 3 min to secure the sTNP. Figure 2d,e presents typical images from a scanning electron microscope (SEM) showing the top views of the Si 3 N 4 AFM tip before and after the flattening procedure. Figure 2i presents an SEM image of the sTNP tip. The diameter of the sTNP attached to the vertex of the Si3N4 AFM tip was measured by SEM at 210 nm ( Figure 2j).

The experimental setup of the deposition of charge to the sTNP tip
The experimental setup used for the deposition of charge to the sTNP tip is presented in Figure 3. The back side of the sTNP tip was affixed to the 30-nm Au/ 20-nm Ti-coated glass slide using conductive copper tape (3 M, St. Paul, MN, USA). A 50-nm Ti-coated tipless cantilever (CSC12, MikroMasch, Tallinn, Estonia) was mounted on the JPK AFM scanner as the top electrode. The end of the tipless cantilever was positioned precisely on the sTNP at the vertex of the Si 3 N 4 tip by aligning the JPK AFM scanner under an inverted optical microscope (IX 71, Olympus; Figure 3b). DC voltage (−2.5 kV) was applied to the tipless cantilever for 90 s under air, and the 30-nm Au/20-nm Ti-coated glass slide was used as the ground for the deposition of the negative charge to the sTNP tip. The force-distance (f-d) curves of the sTNP tip on the grounded gold surface were used to verify whether the charge was deposited [17].

Measurement of the electrostatic fields
The charged sTNP tip was then used for the measurement of f-d curves to determine the electrostatic field beside the top electrode of the parallel plate condenser ( Figure 1). The sTNP tip is located slightly inward at the end of the AFM cantilever; therefore, the end of the AFM cantilever is susceptible to striking the edge of the top electrode when the distance between the AFM tip and the electrode is within 10 μm. To overcome this situation, 21 spots spaced at 0.25 μm along the X-axis at a distance of 10 to 15 μm are selected for the measurement of the f-d curves in order to derive the electrostatic field. As shown in Figure 1, the edge center of the condenser was plotted as the origin of the Xand Z-axes. DC voltage (V app ) of ±25 V was applied on the top electrode, and the bottom electrode was left grounded. Each curve measurement was conducted for distances of 15 μm along the Z-axis, from 6 μm below to 9 μm above the top electrode. The ramp rate and the ramp size of each f-d curve were 2 Hz and 15 μm, respectively. The sTNP tip did not come into contact with the substrate during the

Simulation of the electrostatic field
The electric field was simulated using finite element method in Ansoft Maxwell simulation software [18] to estimate the electrostatic field. The current model deals only with the electric field in the Z direction from −10 to approximately 10 μm. After designing the model, the maximum length of elements was set at 0.4 μm; this was sufficient to provide accurate solutions to model at that scale. The Maxwell program automatically fits the mesh to estimate the electrostatic field.

Results and discussion
Figure 4a presents the f-d curves for tips before and after the charging process. A long-range attractive force [19] was observed between the charged sTNP tip and the grounded gold surface, mainly due to the electrostatic force. No attractive force was observed on the uncharged sTNP tip. The attractive force acting on the charged sTNP tip gradually increased as the tip was moved closer to the gold-coated surface. As shown in Figure 4a, the form of the f-d curve acting on the grounded metal surface using a charged sTNP is similar to that observed in a previous study involving the measurement of electrostatic force between a charged particle and a metal surface using the modified image charge method [17].
According to previous studies [9][10][11], the net electrostatic force (F E ) acting on a charged dielectric particle in an applied electric field that can be written as follows: where F C is the Coulombic force that resulted from the external field acting on the charged particle, F image is the image force caused by the attraction of the particle to its net charge image, and F pol is the force created by the attraction between the field-induced dipolar charge (polarization) in a particle in an electrostatic field and its dipole image in the electrode. In this study, F pol acting on the sTNP was due mainly to the thin layer of water adsorbed on the surface of the tip due to the large dielectric constant of water (ε water = 80). To eliminate the influence of the water layer, the measurement of the electrostatic field was conducted under N 2 conditions (RH < 5%), such that F pol acting on the sTNP could be disregarded; a plastic O-ring was placed between the scanner and sample to allow the injection of N 2 into the O-ring. Charges deposited on the sTNP under N 2 conditions can last (variation smaller than 5%) for over 90 min, and the measurement process can be completed within 10 min. In this study, the dissipation or generation of charge did not occur during charge verification, despite the fact that the charged sTNP tip touched the    Figure 4b presents the three f-d curves at X = 11 μm under N 2 conditions when V app = +25, 0, and −25 V were applied to the top electrode, and the bottom electrode remained grounded. The Z-axis component of F E acting on the sTNP tip can be revealed in the measured f-d curves (Figure 4b), expressed as F E (V app ). F E (0 V) acting on the sTNP tip is due mainly to F image , which is always attractive to the top electrode of the condenser. The F C (+25 V) is the attractive force acting on the negativecharged sTNP tip, such that F E (+25 V) is smaller than F E (0 V) above Z = 0 μm. F C (+25 V) always attracts the negative-charged sTNP tip, regardless of whether the sTNP tip is above or below the top electrode at Z = 0 μm. This results in the charged sTNP tip being trapped at Z = 0 μm, preventing it from moving forward during the measurement of the f-d curves, as shown in Figure 4b. F C (−25 V) is a repulsive force acting on the negative-charged sTNP tip, such that F E (−25 V) is larger than F E (0 V) above Z = −2.6 μm; however, it is smaller below Z = −2.6 μm due to the attractive force induced from the bottom electrode.
Thus, F C (V app ) acting on the negative-charged sTNP tip can be estimated according to the following formula: The coulombic force acting on the positive charged sTNP produced by the electrostatic field of the parallel plate condenser is equal to − F C (V app ), expressed as F ele (V app ), which represents the electrostatic force field of the condenser. Figure 5a,c respectively presents the F ele (+25 V) and F ele (−25 V) distribution along the X-axis (0.25-μm spacing from 10 to 15 μm) and the Z-axis. As mention in previous discussion, F ele (+25 V) below Z = 0 μm cannot be measured but can be acquired through polynomial extrapolation. In this study, charge was deposited on the sTNP, a small portion of which was transferred to the edge of the pyramid shaped Si 3 N 4 tip. As a result, the total charge on the sTNP was assumed to be a point charge located 2 μm above the vertex of the Si 3 N 4 tip. The Z-axis in Figure 5a,c reveals the distance between the point charge and the top electrode in the Z direction. Figure 5b,d presents the results of Ansoft Maxwell simulation of electrostatic field distribution under V app = +25 and −25 V, with trends similar to those in Figure 5a,c, respectively. The charge on the charged sTNP tip was approximately −1.7 × 10 −14 C, as estimated through simulation. F ele (−25 V) is the attractive force above Z = 0 μm; however, this was converted into a repulsive force between Z = 0 and −2 μm. F ele (+25 V) and F ele (−25 V) are symmetrical about the Z-axis, revealing the inverse direction of the electrostatic field distribution. As shown in Figure 5a,c, the minimum F ele that can be measured is less than 50 pN. The difference between the simulated and experimental results can be explained by the fact that a residual charge is transferred to the edge of the pyramid-shaped Si 3 N 4 tip during charge deposition process; when the charged sTNP tip is brought closer to the top electrode (X = 0 μm), the difference between the simulated and experimental results increases. The ripples shown in Figure 5a,c were caused by laser diffraction on the insulating Si 3 N 4 cantilever (for more details, see Additional file 1).
In the future, the pyramidal shape of the Si 3 N 4 tip could be modified using a focused ion beam system to create a cylindrical shape in order to avoid the possibility of experimental fluctuations resulting from the shape of the tip. This probe could be employed to scan surface topographies by mapping f-d curves, and the interaction force between the charged Teflon particle and sample would give a direct indication of the local electric field and properties of the sample.

Conclusions
In summary, this paper reported the direct measurement of the electrostatic field beside a parallel plate condenser using a charged sTNP on an AFM tip. Experimental results were then compared with those obtained through simulation. A sTNP tip was fabricated by attaching a single 210-nm Teflon nanoparticle at the vertex of a Si 3 N 4 AFM tip and was charged via contact electrification. The lateral/vertical resolution of the electrostatic force measurement is 250/100 nm, respectively. The minimum F ele that can be measured using this method is less than 50 pN. This technique provides a novel means of studying the electric properties of electrical devices. The AFM tip is able to hold a single charged nanoparticle, making it possible to directly quantify the local electric/magnetic field, charge distribution, and electrostatic force of a sample surface using an AFM system. The charged sTNP tip could find a wide application in electrical research at the nanoscale.

Additional file
Additional file 1: f-d Curves, duration time, and schematic diagram. Figure S1. f-d curves obtained from a grounded metal surface before and after the measurement of the electrostatic field. Figure S2. the duration time of the charged sTNP tip under N 2 condition. Figure S3. f-d curves obtained from sTNP tip under N 2 condition. Figure S4. schematic diagram of differences between experimental result and Ansoft Maxwell simulation. (Difference = F ele measured by EXP − F ele simulated by Ansoft Maxwell).