Design of V-shaped cantilevers for enhanced multifrequency AFM measurements

• Mehrnoosh Damircheli and
• Babak Eslami

Beilstein J. Nanotechnol. 2020, 11, 1525–1541, doi:10.3762/bjnano.11.135

• , y(x,t), ϕ(x,t), ρ, I, E and c are shear coefficient, shear modulus, area of cross section, transverse deflection of the beam, bending angle of the beam, mass density of the beam, moment of inertia of cross section, Young’s modulus, and internal damping of the cantilevers, respectively. The cross

Wet-spinning of magneto-responsive helical chitosan microfibers

• Dorothea Brüggemann,
• Johanna Michel,
• Naiana Suter,
• Matheus Grande de Aguiar and
• Michael Maas

Beilstein J. Nanotechnol. 2020, 11, 991–999, doi:10.3762/bjnano.11.83

• helical chitosan microfibers exhibited an average Young’s modulus of 14 MPa. By taking advantage of the magnetic properties of the feedstock solution, the production of the helical fibers could be automated. The fabrication of the helical fibers was achieved by utilizing the magnetic properties of the

• plastic deformation (Figure 4, range IV) and eventually led to failure when the fiber ruptured (Figure 4, range V). The fibers were reasonably stable during the experiment and had an average Young’s modulus of 14 MPa. In addition, a control experiment was performed in which straight bare chitosan fibers

• were submitted to mechanical testing. The results revealed that those fibers had a Young’s modulus of 166 MPa which was in the same range as the values obtained for the IOP-embedded helical fibers. This observation shows that an IOP concentration of 10 mg·mL−1 did not significantly change the

Multilayer capsules made of weak polyelectrolytes: a review on the preparation, functionalization and applications in drug delivery

• Varsha Sharma and
• Anandhakumar Sundaramurthy

Beilstein J. Nanotechnol. 2020, 11, 508–532, doi:10.3762/bjnano.11.41

Interactions at the cell membrane and pathways of internalization of nano-sized materials for nanomedicine

• Valentina Francia,
• Daphne Montizaan and
• Anna Salvati

Beilstein J. Nanotechnol. 2020, 11, 338–353, doi:10.3762/bjnano.11.25

• higher numbers [154]. In this latter study, it was also shown that the more rigid nanomaterial (Young’s modulus above 13.8 MPa) was internalized by cells at least in part via clathrin-mediated endocytosis, as opposed to the softer material [154]. Similarly, in another study, lipid covered PGLA particles

• with different Young’s modulus values in the range of gigapascals were also partially internalized by clathrin-mediated endocytosis [151]. Understanding how nanoparticle properties affect the mechanism of uptake by cells: Overall, the examples presented show that the effect of tunable nanoparticle

Size effects of graphene nanoplatelets on the properties of high-density polyethylene nanocomposites: morphological, thermal, electrical, and mechanical characterization

• Tuba Evgin,
• Alpaslan Turgut,
• Georges Hamaoui,
• Zdenko Spitalsky,
• Nicolas Horny,
• Matej Micusik,
• Mihai Chirtoc,
• Mehmet Sarikanat and
• Maria Omastova

Beilstein J. Nanotechnol. 2020, 11, 167–179, doi:10.3762/bjnano.11.14

• superior inherent properties, such as its thermal (1000–5000 W/mK [5]) and electrical conductivity (6000 S/cm [6]), and mechanical properties (a Young’s modulus of 1 TPa and a tensile strength of 130 GPa [7]). However, the mass production of graphene with high quality at a low cost is still challenging

• 114.36%, 168.21%, and 184.58%, respectively. As seen in Figure 6a, the highest Young’s modulus was achieved by the HDPE/G3 nanocomposite, with an increment of up to 2.37 GPa. It can be seen that the Young’s modulus of the HDPE/G1 nanocomposite was the lowest, while the value of the Young’s modulus of the

• electrical conductivity compared to those with thicker GnPs. Additionally, it was found that G1, with smaller lateral size and larger thickness (and the lowest aspect ratio and surface area), showed the lowest enhancement of the Young’s modulus and tensile strength due to worse distribution in the HDPE

Nonclassical dynamic modeling of nano/microparticles during nanomanipulation processes

• Moharam Habibnejad Korayem,
• Ali Asghar Farid and
• Rouzbeh Nouhi Hefzabad

Beilstein J. Nanotechnol. 2020, 11, 147–166, doi:10.3762/bjnano.11.13

• of protein bonds and Young’s modulus of nanoparticles, Clifford and Seah determined the AFM cantilever normal spring constant [6]. Korayem and Zakeri studied the effects of different parameters on the times and forces in a 2D manipulation. Using their proposed algorithm, the location of the

• , curvature and couple stress matrices along with the non-zero elements of the rotation vector. Additionally, the strain and kinetic energy and the work of external force applied on the beam element are, respectively, defined as [27]. where E is the Young’s modulus, L, A and I are length, cross-sectional area

A review of demodulation techniques for multifrequency atomic force microscopy

• David M. Harcombe,
• Michael G. Ruppert and
• Andrew J. Fleming

Beilstein J. Nanotechnol. 2020, 11, 76–91, doi:10.3762/bjnano.11.8

• theoretical foundations for determining secondary sample properties such as Young’s modulus [13][22]. Applications include the imaging of secondary properties of proteins [23] and polymers [24]. Intermodulation AFM actively drives the cantilever slightly below and above resonance with a two-tone drive

pH-Controlled fluorescence switching in water-dispersed polymer brushes grafted to modified boron nitride nanotubes for cellular imaging

• Saban Kalay,
• Yurij Stetsyshyn,
• Volodymyr Donchak,
• Khrystyna Harhay,
• Ostap Lishchynskyi,
• Halyna Ohar,
• Yuriy Panchenko,
• Stanislav Voronov and
• Mustafa Çulha

Beilstein J. Nanotechnol. 2019, 10, 2428–2439, doi:10.3762/bjnano.10.233

• in several fields [1][2][3][4][6][7][11][12][13][14][15][16]. BNNTs were first synthesized by Chopra et al. [20] in 1995 and they are considered as the structural analog to CNTs. BNNTs are of particular interest due to their remarkable mechanical properties (e.g., Young’s modulus of 1.22 TPa) and low

Integration of sharp silicon nitride tips into high-speed SU8 cantilevers in a batch fabrication process

• Nahid Hosseini,
• Matthias Neuenschwander,
• Oliver Peric,
• Santiago H. Andany,
• Jonathan D. Adams and
• Georg E. Fantner

Beilstein J. Nanotechnol. 2019, 10, 2357–2363, doi:10.3762/bjnano.10.226

• -factor of the cantilever is aggravated by the fact that the chip body is also made of SU8 instead of a stiff conventional material. One technique to approach this challenge would be to make the cantilever chip body out of a SU8 nanocomposite with higher Young’s modulus instead of pure SU8. For instance

• , M. Kandpal et al. [42] have shown that embedding ZnO nanoparticles into a pure SU8 matrix increases its Young’s modulus from 8 to 30 GPa. The stiffer cantilever chip body will probably yield better mechanical tuning properties and hence an improved ease of use. Conclusion In this article, a batch

Atomic force acoustic microscopy reveals the influence of substrate stiffness and topography on cell behavior

• Yan Liu,
• Li Li,
• Xing Chen,
• Ying Wang,
• Meng-Nan Liu,
• Jin Yan,
• Liang Cao,
• Lu Wang and
• Zuo-Bin Wang

Beilstein J. Nanotechnol. 2019, 10, 2329–2337, doi:10.3762/bjnano.10.223

• with increasing exposure dose. This could be attributed to the increase of the surface stiffness. To further characterize the elasticity of the substrate the Young’s moduli of the undeveloped arrays were calculated using the Hertzian model. Here, the Young’s modulus measurements were repeated twenty

First principles modeling of pure black phosphorus devices under pressure

• Ximing Rong,
• Zhizhou Yu,
• Zewen Wu,
• Junjun Li,
• Bin Wang and
• Yin Wang

Beilstein J. Nanotechnol. 2019, 10, 1943–1951, doi:10.3762/bjnano.10.190

• direction vertical to the 2D plane. Normally, a vertical pressure causes the expansion of BP in both zigzag and armchair directions, although the deformation along the latter is much easier than that along the former because the Young’s modulus in the armchair direction (44 GPa) is much smaller than that in

• from RC = 0 to RC = 5%, the Young’s modulus vertical to the BP plane was obtained with a value equal to 127 GPa. Electric properties of BP under pressure In this section, we show the electric behavior of 2D pressure-related monolayer BP. Figure 3a–c shows the band structures of a partially relaxed

Subsurface imaging of flexible circuits via contact resonance atomic force microscopy

• Wenting Wang,
• Chengfu Ma,
• Yuhang Chen,
• Lei Zheng,
• Huarong Liu and
• Jiaru Chu

Beilstein J. Nanotechnol. 2019, 10, 1636–1647, doi:10.3762/bjnano.10.159

• calculate the contact stiffness. Because the probe tip has a modulus that is not infinite, we modified the apparent contact stiffness Mapp to the effective contact modulus Meff as, where Etip and vtip are the Young’s modulus and the Poisson’s ratio of the AFM tip, respectively. The normal contact stiffness

• (PC) and polyimide (PI) for the bottom and top layers, and Au, Cu, Ti, Ag and Mg for the middle layer. The mechanical parameters of these materials are listed in Table 2. The Young’s modulus and Poisson’s ratio of the silicon substrate are 160 GPa and 0.278, respectively. Cantilever vibration model

• top and bottom layers, while the metallic materials Au, Cu, Ti, Ag and Mg were used for the circuits. The Young’s modulus and Poisson’s ratio of the considered materials are listed in Table 2. The thicknesses were 50, 300 and 3500 nm for the top, middle and bottom layers, respectively. The calculated

Graphynes: an alternative lightweight solution for shock protection

• Kang Xia,
• Haifei Zhan,
• Aimin Ji,
• Jianli Shao,
• Yuantong Gu and
• Zhiyong Li

Beilstein J. Nanotechnol. 2019, 10, 1588–1595, doi:10.3762/bjnano.10.154

• propagation of cracks. Tracking the atomic von Mises stress distribution, it is found that its cumulative density function has a strong correlation with the magnitude of the Young’s modulus of the GYs. For nanosheets with a higher Young’s modulus, it tends to transfer momentum at a faster rate. Thus, a better

• ][13][14]. Based on in silico molecular dynamics (MD) tensile tests, the recorded failure strength values for different types of GYs range between 32.48 and 63.17 GPa [2][15][16]. According to a first-principle study, the failure strain of GY reaches 20% [17]. A high Young’s modulus of 532.5 GPa is

• distribution function (CDF) of the von Mises atomic stress in each GY before the initiation of the crack is analyzed. According to Figure 5, the profile of CDF shows a strong correlation with the magnitude of the Young’s modulus (see Section 3 of Supporting Information File 1). In detail, α-GY has the smallest

Development of a new hybrid approach combining AFM and SEM for the nanoparticle dimensional metrology

• Loïc Crouzier,
• Alexandra Delvallée,
• Sébastien Ducourtieux,
• Laurent Devoille,
• Guillaume Noircler,
• Christian Ulysse,
• Olivier Taché,
• Elodie Barruet,
• Christophe Tromas and
• Nicolas Feltin

Beilstein J. Nanotechnol. 2019, 10, 1523–1536, doi:10.3762/bjnano.10.150

• the substrate in a way similar to the PSL NPs. However, the mechanical properties of silica are different than those of PSL even at the nanoscale. The Young’s modulus of PSL NPs has been found to be equal to 8.0 GPa for 60 nm particles [29]. In comparison, the Young’s modulus of silica NPs with

• defined by: where K the equivalent elastic modulus of the NP and the substrate defined by: where Ei and νi are the Young’s modulus and the Poisson’s ratio of the sphere and the half space. The depth of indentation δ, i.e., the elastic displacement is defined by: In the case of silica NPs deposited on a Si

Nanoscale spatial mapping of mechanical properties through dynamic atomic force microscopy

• Zahra Abooalizadeh,
• Leszek Josef Sudak and
• Philip Egberts

Beilstein J. Nanotechnol. 2019, 10, 1332–1347, doi:10.3762/bjnano.10.132

• measurements. An effective analytical molecular mechanics model of a graphene sheets [44] was employed in [41] that calculates Young’s modulus of single-walled carbon nanotubes, which extends the model for graphite platelets under infinitesimal deformation. In another study, an elastic modulus of 39.5 GPa was

Multicomponent bionanocomposites based on clay nanoarchitectures for electrochemical devices

• Giulia Lo Dico,
• Bernd Wicklein,
• Lorenzo Lisuzzo,
• Giuseppe Lazzara,
• Pilar Aranda and
• Eduardo Ruiz-Hitzky

Beilstein J. Nanotechnol. 2019, 10, 1303–1315, doi:10.3762/bjnano.10.129

• Young’s modulus of the films (Figure 4A) increases with the clay nanofiller content from 5 GPa for pure chitosan up to 11 GPa for the sample Film-4, which contains 40% of clay components. These findings are in good agreement with the mechanical properties of similar composite materials based on sepiolite

• conferring robustness to these systems as the Young’s modulus of 0.2 MPa for a foam without chitosan (with the composition of 1:1:1:0.3 in HNTs/SEP/GNPs/MWCNTs) increases to 3.5 MPa after incorporation of the biopolymer (45 wt %). This increase can be correlated to the strong interaction between the chitosan

On the relaxation time of interacting superparamagnetic nanoparticles and implications for magnetic fluid hyperthermia

• Andrei Kuncser,
• Nicusor Iacob and
• Victor E. Kuncser

Beilstein J. Nanotechnol. 2019, 10, 1280–1289, doi:10.3762/bjnano.10.127

• uniaxial anisotropy) has been provided by Néel under the assumption that the particle macrospin behaves as a gyroscopic system [27]: In Equation 2, τ0N is a time characteristic depending slightly on temperature and other material parameters such as magnetization, gyromagnetic ratio, Young’s modulus, etc

Mechanical and thermodynamic properties of Aβ₄₂, Aβ₄₀, and α-synuclein fibrils: a coarse-grained method to complement experimental studies

• Adolfo B. Poma,
• Horacio V. Guzman,
• Mai Suan Li and
• Panagiotis E. Theodorakis

Beilstein J. Nanotechnol. 2019, 10, 500–513, doi:10.3762/bjnano.10.51

• be determined during experimental measurements. As a result, big discrepancies are found when comparing Young’s modulus values measured with macroscopic techniques and nanoscopic ones such as AFM. This is because a nanoscopic exploration of biological systems reaches molecular resolution and the

• [28][29]. On one hand, AFM in contact mode has been used to provoke the mechanical deformation of fibrils obtaining the Young’s modulus (here denoted as YT) [30][31][32]. On the other hand, the experimental determination of the tensile Young’s modulus (YL) is nontrivial at the nanoscale [33], due to

• , it determines the smallest convex polygon containing all the given points. Then, we monitor the elementary area of this polygon during the simulation [54]. From the stress–strain plot one can derive the corresponding tensile Young’s modulus, YL. Shear deformation The experimental techniques employed

Gold nanoparticles embedded in a polymer as a 3D-printable dichroic nanocomposite material

• Lars Kool,
• Anton Bunschoten,
• Aldrik H. Velders and
• Vittorio Saggiomo

Beilstein J. Nanotechnol. 2019, 10, 442–447, doi:10.3762/bjnano.10.43

• envision a drastic change in the mechanical properties between pure PVA and AuNP–PVA. To test this, we 3D-printed dog-bone-shaped strips of plastic (2.5 × 0.4 × 0.1 cm) and tested the elastic modulus (Young’s modulus) using dynamic mechanical analysis (DMA). The pure PVA and the AuNP–PVA, as expected, did

• the dichroic AuNPs (blue) and AuNP–PVA film (green) which shows a red shift probably due to a lack of solvent. When the AuNP–PVA film is dissolved in water, the AuNPs show again the same characteristic plasmon resonance band (yellow). c) Young’s modulus of the AuNP–PVA compared to pure PVA. 3D-printed

Pull-off and friction forces of micropatterned elastomers on soft substrates: the effects of pattern length scale and stiffness

• Peter van Assenbergh,
• Marike Fokker,
• Julian Langowski,
• Jan van Esch,
• Marleen Kamperman and
• Dimitra Dodou

Beilstein J. Nanotechnol. 2019, 10, 79–94, doi:10.3762/bjnano.10.8

• off a micropattern from a soft substrate, the substrate deforms, and the detachment of neighboring pillars is no longer independent [24]. Accordingly, the pull-off force of mushroom-pillar micropatterns on a soft elastic substrate (Young’s modulus E = 200 kPa) has been found to be lower than on a

• rigid glass substrate [24]. On very soft substrates (Young’s modulus E ≈ 10 kPa), the indentation depth of microscale features is determined by a balance between the elastic properties of the substrate and the substrate–micropattern adhesion effects [25]. The length scale at which these adhesion effects

Contact splitting in dry adhesion and friction: reducing the influence of roughness

• Jae-Kang Kim and
• Michael Varenberg

Beilstein J. Nanotechnol. 2019, 10, 1–8, doi:10.3762/bjnano.10.1

• is the Young’s modulus, and R is the fracture energy. Plotting the peel strength, which is the peeling force normalized by the film (flap) width, gives the curves shown in Figure 4c when the film (flap) thickness is 5 µm, the Young’s modulus is 3 MPa, the fracture energy is 0.2 N m−1, the peeling

• (Figure 1a,b) were molded from PVS (Coltène Whaledent, Altstätten, Switzerland; Young’s modulus of about 3 MPa [45]) against a laser micro-machined grid (Oxford Lasers, Shirley, MA, USA) using a procedure described elsewhere [36]. Rectangular samples of 2.5 × 5 × 1 mm in size were cut out of the mold, so

Hydrogen-induced plasticity in nanoporous palladium

• Markus Gößler,
• Eva-Maria Steyskal,
• Markus Stütz,
• Norbert Enzinger and
• Roland Würschum

Beilstein J. Nanotechnol. 2018, 9, 3013–3024, doi:10.3762/bjnano.9.280

• recently [60], is where Δεe denotes the change in elastic strain, α is the specific surface area A/V, K the bulk modulus, Δf the change in surface stress, and Enp the Young’s modulus of the nanoporous structure. Δf can be linked to the change in surface charge density Δq via electrocapillary coupling

Friction reduction through biologically inspired scale-like laser surface textures

• Johannes Schneider,
• Vergil Djamiykov and
• Christian Greiner

Beilstein J. Nanotechnol. 2018, 9, 2561–2572, doi:10.3762/bjnano.9.238

• a decrease in apparent contact area when roughness increased. We did not observe this effect in our data, but it should be noted that we did not systematically change the roughness of one contacting material. The Young’s modulus of the ceramic and the steel making up the contact tested here is

• larger than the Young’s modulus of the epoxy resin and the glass ball that were paired by Baum et al. [22]. This could be another factor explaining this apparent difference. For the lubricated contact, the frictional behaviour is similar compared to what was discussed above for the steel-on-steel contact

• additionally be explained by the minimal influence of (micro) hydrodynamic effects at low sliding speeds. Together with the high hardness and Young’s modulus of Al2O3 and 100Cr6, this probably results in a small true contact area and therefore large effective contact pressures. These effects manifest

Nanocellulose: Recent advances and its prospects in environmental remediation

• Katrina Pui Yee Shak,
• Yean Ling Pang and
• Shee Keat Mah

Beilstein J. Nanotechnol. 2018, 9, 2479–2498, doi:10.3762/bjnano.9.232

• advantage over conventional cellulose fibres due to its higher surface area, aspect ratio, and Young’s modulus [87]. The versatility of cellulose-based materials has opened up doors for its use in a wide range of applications. In this section, an overview on the recent advanced applications of cellulose

Evidence of friction reduction in laterally graded materials

• Roberto Guarino,
• Gianluca Costagliola,
• Federico Bosia and
• Nicola Maria Pugno

Beilstein J. Nanotechnol. 2018, 9, 2443–2456, doi:10.3762/bjnano.9.229

• frictional and adhesive behaviour can also be achieved by exploiting a grading of the material properties. In this paper, we investigate this possibility by considering the frictional sliding of elastic surfaces in the presence of a spatial variation of the Young’s modulus and the local friction coefficients

• of the indentation of materials with an exponential or power law variation of the Young’s modulus through the depth [20][21]. Giannakopoulos and Pallot then extended the analysis to 2D [22]. Graded substrates have also been considered in elastohydrodynamic lubrication problems [23]. More recently

• exponential or a power law variation of the Young’s modulus, i.e., E(z) = E1eαz or E(z) = E2zβ, respectively, where z is the depth coordinate and E1, E2, α and β are constants. The first extension to a lateral elastic gradient, to the best of our knowledge, was by Dag et al. who studied the problem both