{"id":278,"date":"2018-12-11T08:29:20","date_gmt":"2018-12-11T08:29:20","guid":{"rendered":"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=278"},"modified":"2018-12-11T09:18:14","modified_gmt":"2018-12-11T09:18:14","slug":"atomic-force-microscopy-ii","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/chapter\/atomic-force-microscopy-ii\/","title":{"rendered":"Atomic Force Microscopy-II"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/SsSWFH7YBHY\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>Learning Objectives<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>From this module students may get to know about the following<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>i.<\/strong> Review of Basics of AFM<\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>ii.<\/strong> Operating Modes of AFM<\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>iii.<\/strong> Various Kinds of Force Microscopes<\/em><\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>1. Introduction<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">Atomic force microscopy (AFM) includes various methods in for the interaction of probe and the specimen which helps to characterize various material properties. In this context AFM can characterize of mechanical, electrical, magnetic, and optical spectroscopic properties. In this article we explain in detail the different modes of operation in AFM and kinds of AFM systems.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2. Modes of Operation in AFM<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>(1) Contact AFM:<\/strong> Works at a probe-surface separation of less than 0.5 nm.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>(2) Intermittent contact or tapping mode:<\/strong> Works at a probe-surface separation of 0.5-2 nm.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>(3) Non-contact AFM:<\/strong> Works at a probe-surface separation of 0.1-10 nm.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">The three modes are sketched in Figure 1 and the variations are tabulated in Table-1.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: left\"><img class=\"aligncenter wp-image-312\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/01-16.png\" alt=\"\" width=\"591\" height=\"242\" \/><\/p>\r\n<p class=\"no-indent\" style=\"text-align: center\"><strong>Figure 1.<em> Different modes of operation in AFM<\/em><\/strong><\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n<p style=\"text-align: center\"><img class=\"aligncenter wp-image-287\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/02-14.png\" alt=\"\" width=\"624\" height=\"254\" \/><\/p>\r\n<p class=\"no-indent\" style=\"text-align: center\"><strong>Table 1.<em> Various modes of AFM<\/em><\/strong><\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.1. Contact Mode AFM<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">In this mode, the AFM tip is gently in contact with the surface of sample, and records the small force between the probe and the surface. The cantilever is held at a distance less than few angstroms away from the surface of the sample. This mode operates in the repulsive regime of the Van-der Waals curve i.e. the force on the tip is repulsive. When the spring constant of cantilever is less compared to the surface, i.e., lower than effective spring constant that binds the atoms of the sample together, the cantilever bending occurs. With a constant cantilever deflection (using the feedback loops) the force between the probe and the sample is maintained constant and an image of the surface is obtained.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">In the contact AFM mode, the tip makes soft physical contact with the surface of the sample. Here, the deflection of the cantilever, (dx) is proportional to the force acting on the tip, via Hook\u2019s law, F = -k. x, where k is the spring constant of the cantilever. In contact-mode, the tip either scans at a constant small height above the surface or under the conditions of a constant force. In the constant height mode the height of the tip is fixed, whereas in the constant-force mode the deflection of the cantilever is fixed and the motion of the scanner in the direction of height (z) is recorded. By using contact-mode AFM, the atomic resolution images could be captured.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">For contact mode AFM imaging, it is necessary to have a cantilever soft enough to be deflected by very small forces and has a high enough resonant frequency to not be susceptible to vibrational instabilities. Generally, silicon nitride tips are used for contact mode.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>Advantages of Contact Mode AFM<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">a) High scanning speed<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">b) Easier scanning for rough samples with abrupt changes in vertical topography.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">c) Used in friction analysis<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong><em>Disadvantages of Contact Mode AFM<\/em><\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">a) Lateral forces can distort the image.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">b) Capillary forces from a fluid layer can cause large forces normal to the tip sample interaction.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">c) Combination of these forces reduces spatial resolution and can cause damage to soft samples. There are two contact scanning modes, as described below:<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.1.1. Constant Height<\/strong><\/p>\r\n\r\n<ul>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">In constant-height mode, the spatial variation of the cantilever deflection is used directly to generate the topographic data set because the height of the scanner is fixed as it scans.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">This mode is often used for taking atomic-scale images of atomically flat surfaces, where the cantilever deflections and variations in applied force are small. This mode is essential for recording real-time images of changing surfaces with high scan speed.<\/li>\r\n<\/ul>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.1.2. Constant Force<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">In constant force mode, the deflection of the cantilever can be used as input to a feedback circuit that scans up and down in z-direction and responds to the topography by keeping the cantilever deflection constant. With the cantilever deflection held constant, the total force applied to the sample is constant. The motion of the scanner in the z-direction helps generating image of the sample surface. The scanning speed is thus limited by the response time of the feedback circuit. Constant-force mode is generally preferred for most applications.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.2. Intermittent (Tapping) Mode<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">For imaging biological samples, the constant force that the cantilever exerts on the sample in contact mode is quiet large. In such cases, it is advantageous to work in dynamic mode, also called tapping mode or intermittent contact mode. In this mode, the cantilever oscillates with an external piezo close to its resonant frequency (Figure 2). The probe lightly taps on the sample surface during scanning and contacts the surface at the bottom of its swing. By maintaining constant oscillation amplitude of 20-100 nm during scanning through an electronic feedback loop, a constant tip-sample interaction is achieved and an image of the surface is captured. Forces that act between the sample and the tip will not only cause a change in the oscillation amplitude, but also change the resonant frequency and phase of the cantilever. The amplitude is used for the feedback and the vertical adjustments of the piezo-scanner are recorded as a height image. Simultaneously, the phase changes are presented in the phase image (topography). Different components of the sample exhibit different adhesive and mechanical properties, and reflect different phase contrasts that allow compositional analysis of the materials. For a good phase contrast, larger tip forces are in advantage, while minimization of this force reduces the contact area and facilitates high- resolution imaging. Silicon probes are primarily used for tapping mode applications.<\/p>\r\n&nbsp;\r\n<p style=\"text-align: center\"><img class=\"aligncenter wp-image-302\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/03-12.png\" alt=\"\" width=\"561\" height=\"273\" \/>\r\n<strong>Figure 2. <em>Amplitude dependence in tapping mode<\/em><\/strong><\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\">The amplitude of the oscillation of cantilever decreases as it approaches the surface of the specimen (Figure 2a). This can be explained by observing the resonance behavior of the cantilever far away from the surface (black curve in Figure 2b) and close to the surface (red curve in Figure 2b). When the cantilever moves close to the specimen\u2019s surface, an additional restoring force acts on the cantilever and the tip sample interaction pushes the cantilever back). This can increase the spring constant, which manifests itself in a shift of the cantilever resonance frequency to higher values (red curve). In tapping mode, the cantilever is always excited at a fixed frequency that is chosen to be just below the free resonance frequency (f<sub>0<\/sub>). Far away from the surface, the cantilever will oscillate with amplitude of A0. When the cantilever comes closer to the surface, the resonance curve shifts, but the cantilever is still excited with frequency f<sub>0<\/sub>. The resulting amplitude near the surface, A1, is reduced from A0. It is important to note that the cantilever still does touch the surface, but only at the bottom swing of the cantilever vibration.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">This drop in amplitude can be used as the feedback parameter for AFM imaging, just like the cantilever deflection in contact mode (only that in tapping mode, decreasing the setpoint value increases the force on the sample, while in contact mode, decreasing the setpoint decreases the force on the sample). Using the change in amplitude as a feedback parameter is called operating the AFM in amplitude modulation (AM) mode. One can also track the shift of the resonance frequency of the cantilever when it approaches the surface. That is called frequency modulated (FM) mode. AM mode (or tapping mode) is the most common way to operate the AFM. Cantilevers for tapping mode are stiffer than cantilever for contact mode to allow for a higher resonance frequency. Typical values for k is 40 N\/m and f0 in a range of 300-400 kHz.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.2.1 Advantages and Disadvantages Advantages<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">a) Tapping mode allows high resolution of samples that are easily damaged and\/or loosely held to a surface.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">b) Good for biological samples.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">c) Provides higher lateral resolution (1 nm to 5 nm).<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">d) Cause less damage to samples even with stiffer probes.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">e) Eliminates a large part of permanent shearing forces.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>Disadvantages<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">a) Difficult to produce images in liquid medium.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">b) Slower scan speed<\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.3 Phase Imaging: A Secondary Imaging Technique for Tapping Mode<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">Phase imaging is a powerful technique sensitive to specimen\u2019s surface stiffness\/softness, and adhesion between the tip and specimen\u2019s surface, allowing the chemical mapping of surfaces based on these material differences. It monitors the phase lag between the signal that drives the cantilever to oscillate and the cantilever oscillation output signal (Figure 3). In Tapping Mode AFM, the cantilever is excited into resonance oscillation with a piezoelectric driver.<\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n<p style=\"text-align: center\"><img class=\"aligncenter wp-image-303\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/04-13.png\" alt=\"\" width=\"579\" height=\"258\" \/>\r\n<strong>Figure 3. <em>Amplitude dependence in tapping mode<\/em><\/strong><\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\">As the sharp probe is brought into proximity with the specimen surface, it oscillates vertically near its mechanical resonance frequency. The amplitude of oscillation is reduced as the probe taps the surface, and this change in amplitude helps tracking the surface topography. The probe motion can be characterized by its phase relative to a driving oscillator. As\u00a0 the\u00a0 cantilever\u00a0 oscillates,\u00a0 it\u00a0 will exhibit a phase shift (\u03c6) between the drive and the response, as denoted by the equation:<\/p>\r\n<p class=\"no-indent\" style=\"text-align: center\"><strong>d = A sin (2\u03c0ft + \u03c6)<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">where, d = deflection; A = amplitude; f = frequency; t = time; and \u03c6 = phase shift.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">With any change in interaction between an oscillating cantilever and a sample, the resonance frequency of the cantilever also shifts either towards lower frequencies for attractive forces, or to higher frequencies for repulsive forces, and consequently, the phase at a fixed frequency shifts. Phase signal changes as the probe of the cantilever encounters regions of varied composition. However, the challenge with phase is that it shifts due to a convolution of multiple material properties such as adhesion, stiffness (modulus), dissipation, and viscoelasticity. Phase shifts are registered as bright and dark regions in phase images, comparable to the way height changes are indicated in height images. Phase detection images can be produced in any of the operational cantilever mode, such as tapping mode AFM, magnetic force microscopy (MFM), or electrostatic force microscopy (EFM). The phase lag and change in amplitude is monitored simultaneously such that images of topography and material properties can be collected giving direct correlation between surface properties and topographies.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.3.1 Applications of Phase Imaging<\/strong><\/p>\r\n\r\n<ul>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">It is useful in identifying of contaminants, deposits, discontinuous or defective thin films.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">To\u00a0 analyze\u00a0 different\u00a0 components\u00a0 in\u00a0 composite\u00a0 materials.\u00a0 It\u00a0 can\u00a0 examine\u00a0 both\u00a0 organic\u00a0 and inorganic materials.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">It can differentiate regions of high and low surface adhesion or hardness.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">Mapping of magnetic and electrical properties with wide-ranging implications in data storage and semiconductor industries.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">It is used to map variations in surface properties such as elasticity, adhesion and friction as it causes phase lag.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">Phase imaging usually complements lateral force microscopy (LFM) and force modulation microscopy (FMM), often providing additional information more rapidly, conveniently and with higher resolution. It can generally achieve lateral resolution of 10 nm.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">Phase imaging is as fast and easy to use as tapping mode AFM, with all its benefits for imaging soft, adhesive, easily damaged or loosely bound samples.<\/li>\r\n<\/ul>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.4. Non-contact Mode<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">In this mode, the cantilever is held at a distance in the order of few tens of angstrom away from the sample and the probe tip uses the attractive forces to interact with the sample. The tip-sample interaction is minimized. Working in this mode allows scanning the surface of the sample without influencing it\u2019s shape by the tip-sample forces.\u00a0 The\u00a0 cantilever\u00a0 for\u00a0 this\u00a0 mode\u00a0 are\u00a0 having\u00a0 high\u00a0 spring\u00a0 constant\u00a0 of 20- 100 N\/m so that it does not stick to the sample surface at small amplitudes. Cantilever oscillates near its resonant frequency (~200 kHz) to improve sensitivity. The tips used for this mode are silicon probes.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>Advantages<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">a) Low force of magnitude in10-12 N is exerted on the sample surface.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">b) No damage caused to soft samples.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">c) Could be scanned with extended lifetime.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong><em>Disadvantages<\/em><\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">a) It has lower lateral resolution.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">b) Limited by tip-sample separation.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">c) Slower scan speed to avoid contact with fluid layer.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">d) Contaminant layer on surface can interfere with oscillation.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">e) Need ultra-high vacuum (UHV) to have best imaging.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>Atomic interaction at different tip-sample distances<\/strong><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">Repulsion causes at very small tip-sample distance at few angstroms. Very strong repulsive force appears between the tip and sample atoms. Its origin is the exchange interactions due to overlapping of the electronic orbitals at atomic distances. When this repulsive force is predominant, the tip and sample are considered to be in contact.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">Attractive\u00a0 Van\u00a0 der\u00a0 Waals\u00a0 force\u00a0 causes\u00a0 polarization\u00a0 interaction\u00a0 between\u00a0 atoms.\u00a0 An\u00a0 instantaneous polarization of an atom induces a polarization in nearby atoms and therefore an attractive interaction.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>2.5. Advanced imaging modes<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">Additional measurement modes often in combination with special cantilevers enable the measurement of sample properties beyond the topography. Examples are MFM and several electrical modes. Some of the modes depend on the detection of magnetic or electrical fields. Key in such measurements is to separate the short-range van der Waals forces from the longer range electrical or magnetic forces. A lifting mechanism enables the probing of longer range electrical and magnetic forces, and deconvoluting them from the short-range van der Waals forces that are present during topographic imaging.<\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>3. Kinds of AFM Systems<\/strong><\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.1 Lateral Force Microscopy (LFM<\/strong><\/em>)<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">The LFM signal, which is related to the change in the surface friction on a sample surface, measures the deflection of the cantilever in the horizontal direction and can be represented as the difference in the signals recorded in the right cells (A+B) and the left cells (C+D).<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: center\"><strong>Frictional information = (A+C) \u2013 (B+D)<\/strong><\/p>\r\n&nbsp;\r\n<p style=\"text-align: center\"><img class=\"aligncenter wp-image-304\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/05-11.png\" alt=\"\" width=\"521\" height=\"399\" \/>\r\n<strong>Figure 4. <em>Lateral force microscopy (LFM)<\/em><\/strong><\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\">LFM\u00a0 measures\u00a0 lateral\u00a0 deflections\u00a0 \u00a0(twisting)\u00a0 \u00a0of\u00a0 \u00a0the\u00a0 \u00a0cantilever\u00a0 \u00a0that\u00a0 \u00a0arise\u00a0 \u00a0from\u00a0 \u00a0forces\u00a0 \u00a0on the cantilever parallel to the plane of the sample surface. It images variations in surface friction, arising from inhomogeneity in surface material. Its imaging is also enhanced by edge deflection (slope variations) of surface feature. This differentiates from the imaging of different materials by two sharp changes (up\/down) at both sides.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.2. Force Modulation Microscopy (FMM): A Secondary Imaging Technique<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">In\u00a0 FMM\u00a0 mode,\u00a0 the\u00a0 tip\u00a0 is\u00a0 scanned\u00a0 in\u00a0 contact\u00a0 with\u00a0 the\u00a0 sample,\u00a0 and\u00a0 the\u00a0 z\u00a0 \u00a0feedback\u00a0 \u00a0loop maintains a constant cantilever deflection (as for constant-force mode AFM).<\/p>\r\n\r\n<ul>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">A\u00a0 periodic\u00a0 vertical\u00a0 oscillation\u00a0 signal\u00a0 is\u00a0 applied\u00a0 to\u00a0 either\u00a0 the\u00a0 tip\u00a0 or\u00a0 the\u00a0 sample.\u00a0 The amplitude\u00a0 of\u00a0 cantilever\u00a0 modulation\u00a0 \u00a0that\u00a0 \u00a0results\u00a0 \u00a0from\u00a0 \u00a0this\u00a0 \u00a0applied\u00a0 \u00a0signal\u00a0 \u00a0varies according\u00a0 \u00a0to the elastic properties of the sample.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">From\u00a0 the\u00a0 changes\u00a0 in\u00a0 the\u00a0 amplitude\u00a0 of\u00a0 cantilever\u00a0 \u00a0modulation,\u00a0 \u00a0the\u00a0 \u00a0system\u00a0 \u00a0generates\u00a0 \u00a0a force modulation image --- a map of the sample's elastic properties.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">The\u00a0 frequency\u00a0 of\u00a0 the\u00a0 applied\u00a0 signal\u00a0 is\u00a0 on\u00a0 \u00a0the\u00a0 \u00a0order\u00a0 \u00a0of\u00a0 \u00a0hundreds\u00a0 \u00a0of\u00a0 \u00a0kHz,\u00a0 \u00a0which\u00a0 \u00a0is faster than the rater scan rate (i.e. the z-feedback loop set up to track the scanning).<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">Under the same force, a stiff area on\u00a0 the\u00a0 sample\u00a0 deforms\u00a0 less\u00a0 than\u00a0 a\u00a0 soft\u00a0 area;\u00a0 i.e.,\u00a0 stiffer areas\u00a0 put\u00a0 up\u00a0 greater\u00a0 resistance\u00a0 to\u00a0 the\u00a0 cantilever\u2019s\u00a0 \u00a0vertical\u00a0 \u00a0oscillation,\u00a0 \u00a0and, consequently cause greater bending of the cantilever. The variation in cantilever deflection amplitude at the frequency of modulation is a measure of the relative stiffness of the surface.<\/li>\r\n \t<li class=\"no-indent\" style=\"text-align: justify\">Topographic information can be separated\u00a0 from\u00a0 local\u00a0 variations\u00a0 in\u00a0 the\u00a0 sample's\u00a0 elastic properties, and the two types of images can be collected simultaneously - direct correlation between topographic structure and elastic properties.<\/li>\r\n<\/ul>\r\n<p style=\"text-align: center\"><img class=\"aligncenter wp-image-305\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/06-10.png\" alt=\"\" width=\"481\" height=\"456\" \/>\r\n<strong>Figure 4. <em>Force Modulation Microscopy (FMM)<\/em><\/strong><\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.3 Magnetic force microscopy (MFM)<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">MFM is a phase imaging mode that uses AFM cantilevers with a thin magnetic coating in order to probe the magnetic field between a sample and a magnetized tip. This method is commonly used to image any materials\u00a0 with\u00a0 heterogeneous\u00a0 magnetic\u00a0 properties\u00a0 \u00a0such\u00a0 \u00a0as\u00a0 \u00a0magnetic-based\u00a0 \u00a0hard\u00a0 \u00a0drives.\u00a0 \u00a0It can be operated in single, interlaced and dual scan line modes. Any of these modes require optimization of the height above the sample at which the MFM image is collected.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.4 Conductive AFM (C-AFM)<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em>3.4.1 Electrical measurement modes<\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">AFM can probe a wide variety of electrical properties of materials and surfaces. These methods operate either in static mode or dynamic mode, depending on the information being sought. Probing properties such as current, conductance, surface potential, and capacitance are increasingly important in a number of applications including research on semiconductors, solar and battery cells, conductive polymers, and nanoelectronics.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">This is a static mode method where both the current distribution and topography of a surface are mapped simultaneously. It is similar to scanning tunneling microscopy as in both modes a bias voltage is applied between tip and sample, and the tunneling current is measured between the two. However, the advantage of C-AFM, which uses a conductive cantilever as opposed to a sharp metallic wire, is that it provides topography information and current information independently. Single point measurements that measure the current verses voltage curves (I-V curves) can also be collected in this mode to probe the detailed electrical properties at a position.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.5 Piezoelectric force microscopy (PFM)<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">This static mode based method is geared towards the study of ferroelectric or piezoelectric materials, which are materials that respond mechanically to the application of an electric field. This mode measures topography simultaneously with mechanical response of the material when an electric voltage is applied with a conductive AFM tip. A sharp conductive AFM tip is brought into contact with the sample and an AC voltage is applied between the tip and sample. The sample will either expand or contract oscillatory due to this applied voltage. The sample motion is then tracked by the cantilever defection, which is detected with a lock-in amplifier. The amplitude gives information on the piezoelectric tensor of the material and the phase provides information on the polarization direction.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.6 Electrostatic force microscopy (EFM)<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">This mode is an electrical equivalence to MFM and operates in phase imaging mode, but now used for imaging variations in the electric field of the substrate. When scanning the tip lifted above the surface (typically only a few tens of nanometers), a voltage is applied between tip and sample to create a long-range electrostatic force. EFM images reveal information about surface potential and charge distribution from the phase image: with increasing magnitude of the potential difference between tip and sample, the resonance frequency drops, causing reduction in phase. Thus, a lower phase indicates a larger (absolute) potential difference. This also means that the contrast can be varied with the applied voltage.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.7 Kelvin probe force microscopy (KPFM)<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">This mode images the surface potential distribution of a sample without direct electrical contact between the tip and the sample. It operates in dynamic mode with either a single or dual-pass setup. In the single- pass setup the tip is closer to the sample so there is higher sensitivity and resolution in the Kelvin force measurement, but the topography resolution may suffer. In the dual pass setup, the tip is farther away from the sample,\u00a0 resulting\u00a0 in\u00a0 lower\u00a0 sensitivity\u00a0 and\u00a0 resolution,\u00a0 but\u00a0 the\u00a0 topography\u00a0 can\u00a0 be\u00a0 sharper. In KPFM a combination of AC and DC voltage is applied to the cantilever causing an oscillating electrostatic force between tip and sample. The resulting defection oscillation is detected with a lock-in amplifier and minimized by the DC voltage. The DC voltage used is the local contact potential difference (CPD) between tip and sample. Applications of KPFM include imaging the Kelvin potential or work function of a surface and measuring applied voltage differences between conductors.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.8 Electrochemical AFM (EC-AFM)<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">This mode enables AFM measurements while electrochemical reactions are taking place in electrolyte solutions on an electrode surface. Electrochemical reactions are processes in which electrons flow between solid (electrodes) and liquid (electrolyte), accompanying a reduction reaction (at the cathode) and an oxidation reaction (at the anode). These reactions are widely studied in applications such as corrosion and photovoltaics. EC-AFM measurements enable monitoring of the electrode structure during such reactions and establishing the relationship between the electrode structure\/morphology and its electrochemical activity. As this mode occurs in aggressive liquid environments, excellent environmental control and protection of AFM electronics is necessary for effective imaging.<\/p>\r\n&nbsp;\r\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>Summary<\/strong><\/em><\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">\u2022 The AFM can generate an accurate topographic map of the surface features.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">\u2022 There are 3 operational modes in AFM: Contact AFM, Intermittent contact (tapping mode AFM), Non-contact AFM.<\/p>\r\n<p class=\"no-indent\" style=\"text-align: justify\">\u2022 Using the basic principles and different modes of operations, various kinds of force microscopes are developed.<\/p>\r\n&nbsp;\r\n\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Atomic Force Microscopy-II<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/SsSWFH7YBHY\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table> \r\n\r\n\r\n<p class=\"no-indent\"><strong>References<\/strong><\/p>\r\n\r\n<ul>\r\n \t<li>\r\n<p class=\"no-indent\">G. Binnig,\u00a0\u00a0 C.\u00a0\u00a0 F.\u00a0\u00a0 Quate,\u00a0\u00a0 and\u00a0\u00a0 Ch.\u00a0\u00a0 Gerber,\u201cAtomic\u00a0 Force\u00a0 Microscope\u201d,PhysicalReview Letters 56, 9 (1986).<\/p>\r\n<\/li>\r\n \t<li>\r\n<p class=\"no-indent\">Franz J. Giessibl,\u201cAFM\u2019s path to atomic resolution\u201d, Materials Today 8 (2005).<\/p>\r\n<\/li>\r\n \t<li>\r\n<p class=\"no-indent\">Peter Eaton and Paul West, Atomic Force Microscopy. OUP Oxford.<\/p>\r\n<\/li>\r\n \t<li>\r\n<p class=\"no-indent\">Werner Frammelsberger, GuentherBenstettera,JaniceKiely, and Richard\u00a0 Stamp, \"C-AFM-based\u00a0 thickness\u00a0 determination\u00a0 of\u00a0 thin\u00a0 and\u00a0 ultra-thin\u00a0 SiO2 films\u00a0 by\u00a0 use\u00a0 of\u00a0 different conductive-coated probetips\",Applied Surface Science253 (7): 3615\u20133626.<\/p>\r\n<\/li>\r\n \t<li>\r\n<p class=\"no-indent\">J. P. Cleveland et al. \u201cEnergy dissipation in tapping-mode atomic force microscopy\u201d,Applied Physics Letters 72, 20 (1998<\/p>\r\n<\/li>\r\n<\/ul>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/SsSWFH7YBHY\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>Learning Objectives<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>From this module students may get to know about the following<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>i.<\/strong> Review of Basics of AFM<\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>ii.<\/strong> Operating Modes of AFM<\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>iii.<\/strong> Various Kinds of Force Microscopes<\/em><\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>1. Introduction<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">Atomic force microscopy (AFM) includes various methods in for the interaction of probe and the specimen which helps to characterize various material properties. In this context AFM can characterize of mechanical, electrical, magnetic, and optical spectroscopic properties. In this article we explain in detail the different modes of operation in AFM and kinds of AFM systems.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2. Modes of Operation in AFM<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>(1) Contact AFM:<\/strong> Works at a probe-surface separation of less than 0.5 nm.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>(2) Intermittent contact or tapping mode:<\/strong> Works at a probe-surface separation of 0.5-2 nm.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>(3) Non-contact AFM:<\/strong> Works at a probe-surface separation of 0.1-10 nm.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">The three modes are sketched in Figure 1 and the variations are tabulated in Table-1.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: left\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-312\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/01-16.png\" alt=\"\" width=\"591\" height=\"242\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/01-16.png 447w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/01-16-300x123.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/01-16-65x27.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/01-16-225x92.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/01-16-350x143.png 350w\" sizes=\"auto, (max-width: 591px) 100vw, 591px\" \/><\/p>\n<p class=\"no-indent\" style=\"text-align: center\"><strong>Figure 1.<em> Different modes of operation in AFM<\/em><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-287\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/02-14.png\" alt=\"\" width=\"624\" height=\"254\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/02-14.png 477w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/02-14-300x122.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/02-14-65x26.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/02-14-225x92.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/02-14-350x142.png 350w\" sizes=\"auto, (max-width: 624px) 100vw, 624px\" \/><\/p>\n<p class=\"no-indent\" style=\"text-align: center\"><strong>Table 1.<em> Various modes of AFM<\/em><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.1. Contact Mode AFM<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">In this mode, the AFM tip is gently in contact with the surface of sample, and records the small force between the probe and the surface. The cantilever is held at a distance less than few angstroms away from the surface of the sample. This mode operates in the repulsive regime of the Van-der Waals curve i.e. the force on the tip is repulsive. When the spring constant of cantilever is less compared to the surface, i.e., lower than effective spring constant that binds the atoms of the sample together, the cantilever bending occurs. With a constant cantilever deflection (using the feedback loops) the force between the probe and the sample is maintained constant and an image of the surface is obtained.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">In the contact AFM mode, the tip makes soft physical contact with the surface of the sample. Here, the deflection of the cantilever, (dx) is proportional to the force acting on the tip, via Hook\u2019s law, F = -k. x, where k is the spring constant of the cantilever. In contact-mode, the tip either scans at a constant small height above the surface or under the conditions of a constant force. In the constant height mode the height of the tip is fixed, whereas in the constant-force mode the deflection of the cantilever is fixed and the motion of the scanner in the direction of height (z) is recorded. By using contact-mode AFM, the atomic resolution images could be captured.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">For contact mode AFM imaging, it is necessary to have a cantilever soft enough to be deflected by very small forces and has a high enough resonant frequency to not be susceptible to vibrational instabilities. Generally, silicon nitride tips are used for contact mode.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>Advantages of Contact Mode AFM<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">a) High scanning speed<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">b) Easier scanning for rough samples with abrupt changes in vertical topography.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">c) Used in friction analysis<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong><em>Disadvantages of Contact Mode AFM<\/em><\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">a) Lateral forces can distort the image.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">b) Capillary forces from a fluid layer can cause large forces normal to the tip sample interaction.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">c) Combination of these forces reduces spatial resolution and can cause damage to soft samples. There are two contact scanning modes, as described below:<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.1.1. Constant Height<\/strong><\/p>\n<ul>\n<li class=\"no-indent\" style=\"text-align: justify\">In constant-height mode, the spatial variation of the cantilever deflection is used directly to generate the topographic data set because the height of the scanner is fixed as it scans.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">This mode is often used for taking atomic-scale images of atomically flat surfaces, where the cantilever deflections and variations in applied force are small. This mode is essential for recording real-time images of changing surfaces with high scan speed.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.1.2. Constant Force<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">In constant force mode, the deflection of the cantilever can be used as input to a feedback circuit that scans up and down in z-direction and responds to the topography by keeping the cantilever deflection constant. With the cantilever deflection held constant, the total force applied to the sample is constant. The motion of the scanner in the z-direction helps generating image of the sample surface. The scanning speed is thus limited by the response time of the feedback circuit. Constant-force mode is generally preferred for most applications.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.2. Intermittent (Tapping) Mode<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">For imaging biological samples, the constant force that the cantilever exerts on the sample in contact mode is quiet large. In such cases, it is advantageous to work in dynamic mode, also called tapping mode or intermittent contact mode. In this mode, the cantilever oscillates with an external piezo close to its resonant frequency (Figure 2). The probe lightly taps on the sample surface during scanning and contacts the surface at the bottom of its swing. By maintaining constant oscillation amplitude of 20-100 nm during scanning through an electronic feedback loop, a constant tip-sample interaction is achieved and an image of the surface is captured. Forces that act between the sample and the tip will not only cause a change in the oscillation amplitude, but also change the resonant frequency and phase of the cantilever. The amplitude is used for the feedback and the vertical adjustments of the piezo-scanner are recorded as a height image. Simultaneously, the phase changes are presented in the phase image (topography). Different components of the sample exhibit different adhesive and mechanical properties, and reflect different phase contrasts that allow compositional analysis of the materials. For a good phase contrast, larger tip forces are in advantage, while minimization of this force reduces the contact area and facilitates high- resolution imaging. Silicon probes are primarily used for tapping mode applications.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-302\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/03-12.png\" alt=\"\" width=\"561\" height=\"273\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/03-12.png 487w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/03-12-300x146.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/03-12-65x32.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/03-12-225x109.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/03-12-350x170.png 350w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><br \/>\n<strong>Figure 2. <em>Amplitude dependence in tapping mode<\/em><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">The amplitude of the oscillation of cantilever decreases as it approaches the surface of the specimen (Figure 2a). This can be explained by observing the resonance behavior of the cantilever far away from the surface (black curve in Figure 2b) and close to the surface (red curve in Figure 2b). When the cantilever moves close to the specimen\u2019s surface, an additional restoring force acts on the cantilever and the tip sample interaction pushes the cantilever back). This can increase the spring constant, which manifests itself in a shift of the cantilever resonance frequency to higher values (red curve). In tapping mode, the cantilever is always excited at a fixed frequency that is chosen to be just below the free resonance frequency (f<sub>0<\/sub>). Far away from the surface, the cantilever will oscillate with amplitude of A0. When the cantilever comes closer to the surface, the resonance curve shifts, but the cantilever is still excited with frequency f<sub>0<\/sub>. The resulting amplitude near the surface, A1, is reduced from A0. It is important to note that the cantilever still does touch the surface, but only at the bottom swing of the cantilever vibration.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">This drop in amplitude can be used as the feedback parameter for AFM imaging, just like the cantilever deflection in contact mode (only that in tapping mode, decreasing the setpoint value increases the force on the sample, while in contact mode, decreasing the setpoint decreases the force on the sample). Using the change in amplitude as a feedback parameter is called operating the AFM in amplitude modulation (AM) mode. One can also track the shift of the resonance frequency of the cantilever when it approaches the surface. That is called frequency modulated (FM) mode. AM mode (or tapping mode) is the most common way to operate the AFM. Cantilevers for tapping mode are stiffer than cantilever for contact mode to allow for a higher resonance frequency. Typical values for k is 40 N\/m and f0 in a range of 300-400 kHz.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.2.1 Advantages and Disadvantages Advantages<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">a) Tapping mode allows high resolution of samples that are easily damaged and\/or loosely held to a surface.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">b) Good for biological samples.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">c) Provides higher lateral resolution (1 nm to 5 nm).<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">d) Cause less damage to samples even with stiffer probes.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">e) Eliminates a large part of permanent shearing forces.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>Disadvantages<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">a) Difficult to produce images in liquid medium.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">b) Slower scan speed<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.3 Phase Imaging: A Secondary Imaging Technique for Tapping Mode<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">Phase imaging is a powerful technique sensitive to specimen\u2019s surface stiffness\/softness, and adhesion between the tip and specimen\u2019s surface, allowing the chemical mapping of surfaces based on these material differences. It monitors the phase lag between the signal that drives the cantilever to oscillate and the cantilever oscillation output signal (Figure 3). In Tapping Mode AFM, the cantilever is excited into resonance oscillation with a piezoelectric driver.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-303\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/04-13.png\" alt=\"\" width=\"579\" height=\"258\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/04-13.png 406w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/04-13-300x134.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/04-13-65x29.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/04-13-225x100.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/04-13-350x156.png 350w\" sizes=\"auto, (max-width: 579px) 100vw, 579px\" \/><br \/>\n<strong>Figure 3. <em>Amplitude dependence in tapping mode<\/em><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">As the sharp probe is brought into proximity with the specimen surface, it oscillates vertically near its mechanical resonance frequency. The amplitude of oscillation is reduced as the probe taps the surface, and this change in amplitude helps tracking the surface topography. The probe motion can be characterized by its phase relative to a driving oscillator. As\u00a0 the\u00a0 cantilever\u00a0 oscillates,\u00a0 it\u00a0 will exhibit a phase shift (\u03c6) between the drive and the response, as denoted by the equation:<\/p>\n<p class=\"no-indent\" style=\"text-align: center\"><strong>d = A sin (2\u03c0ft + \u03c6)<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">where, d = deflection; A = amplitude; f = frequency; t = time; and \u03c6 = phase shift.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">With any change in interaction between an oscillating cantilever and a sample, the resonance frequency of the cantilever also shifts either towards lower frequencies for attractive forces, or to higher frequencies for repulsive forces, and consequently, the phase at a fixed frequency shifts. Phase signal changes as the probe of the cantilever encounters regions of varied composition. However, the challenge with phase is that it shifts due to a convolution of multiple material properties such as adhesion, stiffness (modulus), dissipation, and viscoelasticity. Phase shifts are registered as bright and dark regions in phase images, comparable to the way height changes are indicated in height images. Phase detection images can be produced in any of the operational cantilever mode, such as tapping mode AFM, magnetic force microscopy (MFM), or electrostatic force microscopy (EFM). The phase lag and change in amplitude is monitored simultaneously such that images of topography and material properties can be collected giving direct correlation between surface properties and topographies.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.3.1 Applications of Phase Imaging<\/strong><\/p>\n<ul>\n<li class=\"no-indent\" style=\"text-align: justify\">It is useful in identifying of contaminants, deposits, discontinuous or defective thin films.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">To\u00a0 analyze\u00a0 different\u00a0 components\u00a0 in\u00a0 composite\u00a0 materials.\u00a0 It\u00a0 can\u00a0 examine\u00a0 both\u00a0 organic\u00a0 and inorganic materials.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">It can differentiate regions of high and low surface adhesion or hardness.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">Mapping of magnetic and electrical properties with wide-ranging implications in data storage and semiconductor industries.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">It is used to map variations in surface properties such as elasticity, adhesion and friction as it causes phase lag.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">Phase imaging usually complements lateral force microscopy (LFM) and force modulation microscopy (FMM), often providing additional information more rapidly, conveniently and with higher resolution. It can generally achieve lateral resolution of 10 nm.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">Phase imaging is as fast and easy to use as tapping mode AFM, with all its benefits for imaging soft, adhesive, easily damaged or loosely bound samples.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>2.4. Non-contact Mode<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">In this mode, the cantilever is held at a distance in the order of few tens of angstrom away from the sample and the probe tip uses the attractive forces to interact with the sample. The tip-sample interaction is minimized. Working in this mode allows scanning the surface of the sample without influencing it\u2019s shape by the tip-sample forces.\u00a0 The\u00a0 cantilever\u00a0 for\u00a0 this\u00a0 mode\u00a0 are\u00a0 having\u00a0 high\u00a0 spring\u00a0 constant\u00a0 of 20- 100 N\/m so that it does not stick to the sample surface at small amplitudes. Cantilever oscillates near its resonant frequency (~200 kHz) to improve sensitivity. The tips used for this mode are silicon probes.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>Advantages<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">a) Low force of magnitude in10-12 N is exerted on the sample surface.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">b) No damage caused to soft samples.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">c) Could be scanned with extended lifetime.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong><em>Disadvantages<\/em><\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">a) It has lower lateral resolution.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">b) Limited by tip-sample separation.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">c) Slower scan speed to avoid contact with fluid layer.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">d) Contaminant layer on surface can interfere with oscillation.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">e) Need ultra-high vacuum (UHV) to have best imaging.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>Atomic interaction at different tip-sample distances<\/strong><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">Repulsion causes at very small tip-sample distance at few angstroms. Very strong repulsive force appears between the tip and sample atoms. Its origin is the exchange interactions due to overlapping of the electronic orbitals at atomic distances. When this repulsive force is predominant, the tip and sample are considered to be in contact.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">Attractive\u00a0 Van\u00a0 der\u00a0 Waals\u00a0 force\u00a0 causes\u00a0 polarization\u00a0 interaction\u00a0 between\u00a0 atoms.\u00a0 An\u00a0 instantaneous polarization of an atom induces a polarization in nearby atoms and therefore an attractive interaction.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>2.5. Advanced imaging modes<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">Additional measurement modes often in combination with special cantilevers enable the measurement of sample properties beyond the topography. Examples are MFM and several electrical modes. Some of the modes depend on the detection of magnetic or electrical fields. Key in such measurements is to separate the short-range van der Waals forces from the longer range electrical or magnetic forces. A lifting mechanism enables the probing of longer range electrical and magnetic forces, and deconvoluting them from the short-range van der Waals forces that are present during topographic imaging.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><strong>3. Kinds of AFM Systems<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.1 Lateral Force Microscopy (LFM<\/strong><\/em>)<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">The LFM signal, which is related to the change in the surface friction on a sample surface, measures the deflection of the cantilever in the horizontal direction and can be represented as the difference in the signals recorded in the right cells (A+B) and the left cells (C+D).<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: center\"><strong>Frictional information = (A+C) \u2013 (B+D)<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-304\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/05-11.png\" alt=\"\" width=\"521\" height=\"399\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/05-11.png 445w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/05-11-300x230.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/05-11-65x50.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/05-11-225x172.png 225w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/05-11-350x268.png 350w\" sizes=\"auto, (max-width: 521px) 100vw, 521px\" \/><br \/>\n<strong>Figure 4. <em>Lateral force microscopy (LFM)<\/em><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">LFM\u00a0 measures\u00a0 lateral\u00a0 deflections\u00a0 \u00a0(twisting)\u00a0 \u00a0of\u00a0 \u00a0the\u00a0 \u00a0cantilever\u00a0 \u00a0that\u00a0 \u00a0arise\u00a0 \u00a0from\u00a0 \u00a0forces\u00a0 \u00a0on the cantilever parallel to the plane of the sample surface. It images variations in surface friction, arising from inhomogeneity in surface material. Its imaging is also enhanced by edge deflection (slope variations) of surface feature. This differentiates from the imaging of different materials by two sharp changes (up\/down) at both sides.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.2. Force Modulation Microscopy (FMM): A Secondary Imaging Technique<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">In\u00a0 FMM\u00a0 mode,\u00a0 the\u00a0 tip\u00a0 is\u00a0 scanned\u00a0 in\u00a0 contact\u00a0 with\u00a0 the\u00a0 sample,\u00a0 and\u00a0 the\u00a0 z\u00a0 \u00a0feedback\u00a0 \u00a0loop maintains a constant cantilever deflection (as for constant-force mode AFM).<\/p>\n<ul>\n<li class=\"no-indent\" style=\"text-align: justify\">A\u00a0 periodic\u00a0 vertical\u00a0 oscillation\u00a0 signal\u00a0 is\u00a0 applied\u00a0 to\u00a0 either\u00a0 the\u00a0 tip\u00a0 or\u00a0 the\u00a0 sample.\u00a0 The amplitude\u00a0 of\u00a0 cantilever\u00a0 modulation\u00a0 \u00a0that\u00a0 \u00a0results\u00a0 \u00a0from\u00a0 \u00a0this\u00a0 \u00a0applied\u00a0 \u00a0signal\u00a0 \u00a0varies according\u00a0 \u00a0to the elastic properties of the sample.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">From\u00a0 the\u00a0 changes\u00a0 in\u00a0 the\u00a0 amplitude\u00a0 of\u00a0 cantilever\u00a0 \u00a0modulation,\u00a0 \u00a0the\u00a0 \u00a0system\u00a0 \u00a0generates\u00a0 \u00a0a force modulation image &#8212; a map of the sample&#8217;s elastic properties.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">The\u00a0 frequency\u00a0 of\u00a0 the\u00a0 applied\u00a0 signal\u00a0 is\u00a0 on\u00a0 \u00a0the\u00a0 \u00a0order\u00a0 \u00a0of\u00a0 \u00a0hundreds\u00a0 \u00a0of\u00a0 \u00a0kHz,\u00a0 \u00a0which\u00a0 \u00a0is faster than the rater scan rate (i.e. the z-feedback loop set up to track the scanning).<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">Under the same force, a stiff area on\u00a0 the\u00a0 sample\u00a0 deforms\u00a0 less\u00a0 than\u00a0 a\u00a0 soft\u00a0 area;\u00a0 i.e.,\u00a0 stiffer areas\u00a0 put\u00a0 up\u00a0 greater\u00a0 resistance\u00a0 to\u00a0 the\u00a0 cantilever\u2019s\u00a0 \u00a0vertical\u00a0 \u00a0oscillation,\u00a0 \u00a0and, consequently cause greater bending of the cantilever. The variation in cantilever deflection amplitude at the frequency of modulation is a measure of the relative stiffness of the surface.<\/li>\n<li class=\"no-indent\" style=\"text-align: justify\">Topographic information can be separated\u00a0 from\u00a0 local\u00a0 variations\u00a0 in\u00a0 the\u00a0 sample&#8217;s\u00a0 elastic properties, and the two types of images can be collected simultaneously &#8211; direct correlation between topographic structure and elastic properties.<\/li>\n<\/ul>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-305\" src=\"http:\/\/msp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/112\/2018\/12\/06-10.png\" alt=\"\" width=\"481\" height=\"456\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/06-10.png 340w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/06-10-300x284.png 300w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/06-10-65x62.png 65w, https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-content\/uploads\/sites\/112\/2018\/12\/06-10-225x213.png 225w\" sizes=\"auto, (max-width: 481px) 100vw, 481px\" \/><br \/>\n<strong>Figure 4. <em>Force Modulation Microscopy (FMM)<\/em><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.3 Magnetic force microscopy (MFM)<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">MFM is a phase imaging mode that uses AFM cantilevers with a thin magnetic coating in order to probe the magnetic field between a sample and a magnetized tip. This method is commonly used to image any materials\u00a0 with\u00a0 heterogeneous\u00a0 magnetic\u00a0 properties\u00a0 \u00a0such\u00a0 \u00a0as\u00a0 \u00a0magnetic-based\u00a0 \u00a0hard\u00a0 \u00a0drives.\u00a0 \u00a0It can be operated in single, interlaced and dual scan line modes. Any of these modes require optimization of the height above the sample at which the MFM image is collected.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.4 Conductive AFM (C-AFM)<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em>3.4.1 Electrical measurement modes<\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">AFM can probe a wide variety of electrical properties of materials and surfaces. These methods operate either in static mode or dynamic mode, depending on the information being sought. Probing properties such as current, conductance, surface potential, and capacitance are increasingly important in a number of applications including research on semiconductors, solar and battery cells, conductive polymers, and nanoelectronics.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">This is a static mode method where both the current distribution and topography of a surface are mapped simultaneously. It is similar to scanning tunneling microscopy as in both modes a bias voltage is applied between tip and sample, and the tunneling current is measured between the two. However, the advantage of C-AFM, which uses a conductive cantilever as opposed to a sharp metallic wire, is that it provides topography information and current information independently. Single point measurements that measure the current verses voltage curves (I-V curves) can also be collected in this mode to probe the detailed electrical properties at a position.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.5 Piezoelectric force microscopy (PFM)<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">This static mode based method is geared towards the study of ferroelectric or piezoelectric materials, which are materials that respond mechanically to the application of an electric field. This mode measures topography simultaneously with mechanical response of the material when an electric voltage is applied with a conductive AFM tip. A sharp conductive AFM tip is brought into contact with the sample and an AC voltage is applied between the tip and sample. The sample will either expand or contract oscillatory due to this applied voltage. The sample motion is then tracked by the cantilever defection, which is detected with a lock-in amplifier. The amplitude gives information on the piezoelectric tensor of the material and the phase provides information on the polarization direction.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.6 Electrostatic force microscopy (EFM)<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">This mode is an electrical equivalence to MFM and operates in phase imaging mode, but now used for imaging variations in the electric field of the substrate. When scanning the tip lifted above the surface (typically only a few tens of nanometers), a voltage is applied between tip and sample to create a long-range electrostatic force. EFM images reveal information about surface potential and charge distribution from the phase image: with increasing magnitude of the potential difference between tip and sample, the resonance frequency drops, causing reduction in phase. Thus, a lower phase indicates a larger (absolute) potential difference. This also means that the contrast can be varied with the applied voltage.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.7 Kelvin probe force microscopy (KPFM)<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">This mode images the surface potential distribution of a sample without direct electrical contact between the tip and the sample. It operates in dynamic mode with either a single or dual-pass setup. In the single- pass setup the tip is closer to the sample so there is higher sensitivity and resolution in the Kelvin force measurement, but the topography resolution may suffer. In the dual pass setup, the tip is farther away from the sample,\u00a0 resulting\u00a0 in\u00a0 lower\u00a0 sensitivity\u00a0 and\u00a0 resolution,\u00a0 but\u00a0 the\u00a0 topography\u00a0 can\u00a0 be\u00a0 sharper. In KPFM a combination of AC and DC voltage is applied to the cantilever causing an oscillating electrostatic force between tip and sample. The resulting defection oscillation is detected with a lock-in amplifier and minimized by the DC voltage. The DC voltage used is the local contact potential difference (CPD) between tip and sample. Applications of KPFM include imaging the Kelvin potential or work function of a surface and measuring applied voltage differences between conductors.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>3.8 Electrochemical AFM (EC-AFM)<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">This mode enables AFM measurements while electrochemical reactions are taking place in electrolyte solutions on an electrode surface. Electrochemical reactions are processes in which electrons flow between solid (electrodes) and liquid (electrolyte), accompanying a reduction reaction (at the cathode) and an oxidation reaction (at the anode). These reactions are widely studied in applications such as corrosion and photovoltaics. EC-AFM measurements enable monitoring of the electrode structure during such reactions and establishing the relationship between the electrode structure\/morphology and its electrochemical activity. As this mode occurs in aggressive liquid environments, excellent environmental control and protection of AFM electronics is necessary for effective imaging.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\"><em><strong>Summary<\/strong><\/em><\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">\u2022 The AFM can generate an accurate topographic map of the surface features.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">\u2022 There are 3 operational modes in AFM: Contact AFM, Intermittent contact (tapping mode AFM), Non-contact AFM.<\/p>\n<p class=\"no-indent\" style=\"text-align: justify\">\u2022 Using the basic principles and different modes of operations, various kinds of force microscopes are developed.<\/p>\n<p>&nbsp;<\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Atomic Force Microscopy-II<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/SsSWFH7YBHY\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"no-indent\"><strong>References<\/strong><\/p>\n<ul>\n<li>\n<p class=\"no-indent\">G. Binnig,\u00a0\u00a0 C.\u00a0\u00a0 F.\u00a0\u00a0 Quate,\u00a0\u00a0 and\u00a0\u00a0 Ch.\u00a0\u00a0 Gerber,\u201cAtomic\u00a0 Force\u00a0 Microscope\u201d,PhysicalReview Letters 56, 9 (1986).<\/p>\n<\/li>\n<li>\n<p class=\"no-indent\">Franz J. Giessibl,\u201cAFM\u2019s path to atomic resolution\u201d, Materials Today 8 (2005).<\/p>\n<\/li>\n<li>\n<p class=\"no-indent\">Peter Eaton and Paul West, Atomic Force Microscopy. OUP Oxford.<\/p>\n<\/li>\n<li>\n<p class=\"no-indent\">Werner Frammelsberger, GuentherBenstettera,JaniceKiely, and Richard\u00a0 Stamp, &#8220;C-AFM-based\u00a0 thickness\u00a0 determination\u00a0 of\u00a0 thin\u00a0 and\u00a0 ultra-thin\u00a0 SiO2 films\u00a0 by\u00a0 use\u00a0 of\u00a0 different conductive-coated probetips&#8221;,Applied Surface Science253 (7): 3615\u20133626.<\/p>\n<\/li>\n<li>\n<p class=\"no-indent\">J. P. Cleveland et al. \u201cEnergy dissipation in tapping-mode atomic force microscopy\u201d,Applied Physics Letters 72, 20 (1998<\/p>\n<\/li>\n<\/ul>\n","protected":false},"author":3,"menu_order":15,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-ajit-k-mahapatro"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-278","chapter","type-chapter","status-publish","hentry","contributor-dr-ajit-k-mahapatro"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/pressbooks\/v2\/chapters\/278","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":29,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/pressbooks\/v2\/chapters\/278\/revisions"}],"predecessor-version":[{"id":319,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/pressbooks\/v2\/chapters\/278\/revisions\/319"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/pressbooks\/v2\/chapters\/278\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/wp\/v2\/media?parent=278"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/pressbooks\/v2\/chapter-type?post=278"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/wp\/v2\/contributor?post=278"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp11\/wp-json\/wp\/v2\/license?post=278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}