Multifrequency AFM integrating PeakForce tapping and higher eigenmodes for heterogeneous surface characterization

• Yanping Wei,
• Jiafeng Shen,
• Yirong Yao,
• Xuke Li,
• Ming Li and
• Peiling Ke

Beilstein J. Nanotechnol. 2025, 16, 2077–2085, doi:10.3762/bjnano.16.142

• mappings obtained via the PeakForce tapping method. Furthermore, the technique’s dual capability, that is, quantitative mechanics via quasi-static force curves and qualitative material-sensitive information via eigenmode vibration signals, facilitates effective compositional differentiation in

• stiffness (k) matching, a critical requirement for accurate contact mechanics models [20]. The stiffness k should be neither too large (to ensure a sufficient deflection signal for accurate force measurement) nor too small (to achieve adequate sample indentation). For heterogeneous samples with modulus

• the measurement points can be calculated using the contact mechanics models [18][22]. (ii) Concurrently, the piezoelectric actuator PD-II excites the probe at its higher eigenmode, inducing a minor vibration with an amplitude generally beneath 1 nm. This high-eigenmode oscillation amplitude remains

Molecular and mechanical insights into gecko seta adhesion: multiscale simulations combining molecular dynamics and the finite element method

• Yash Jain,
• Saeed Norouzi,
• Tobias Materzok,
• Stanislav N. Gorb and
• Florian Müller-Plathe

Beilstein J. Nanotechnol. 2025, 16, 2055–2076, doi:10.3762/bjnano.16.141

• ]. While there have been a few sequential multiscale studies [29][30][31], there have been no concurrent simulations in which micrometer-scale seta mechanics and molecular spatula–substrate interactions feed into each other at runtime. This work concurrently couples MD and FEM in a single simulation to

• averaged, the three different forces in Figure 8a remain closely aligned until detachment begins. Beyond this point, the curves begin to diverge. This divergence is not primarily due to the physical mechanics of detachment, but rather due to the limited number of FEM–MD iterations per load step in our runs

Mechanical property measurements enabled by short-term Fourier-transform of atomic force microscopy thermal deflection analysis

• Thomas Mathias,
• Roland Bennewitz and
• Philip Egberts

Beilstein J. Nanotechnol. 2025, 16, 1952–1962, doi:10.3762/bjnano.16.136

• dynamic mechanics models relating the contact stiffness of the tip/cantilever pressing into a surface with the oscillation frequency of the cantilever and show that they did not accurately model the experiment. Several material combinations of tip and sample were examined; tip size and cantilever

• the frequency data translated to contact stiffness, the Derjaguin–Muller–Toporov (DMT), Johnson–Kendall–Roberts (JKR), and Carpick-Ogletree-Salmeron (COS) contact mechanics theories can be used to relate tip size, elastic modulus, and normal force. The relationship between contact stiffness, k*, and

• for tip and substrate and fitted the radius of the probes using contact mechanics models. In many cases, the fits did not converge, so we used the best fit values near convergence and plotted the expected model variations for k* and normal force in Figure 5 with a red dashed line, with the

Bioinspired polypropylene-based functionally graded materials and metamaterials modeling the mistletoe–host interface

• Lina M. Rojas González,
• Naeim Ghavidelnia,
• Christoph Eberl and
• Max D. Mylo

Beilstein J. Nanotechnol. 2025, 16, 1592–1606, doi:10.3762/bjnano.16.113

• -79110 Freiburg, Germany Fraunhofer Institute for Mechanics of Materials (IWM), Wöhlerstr. 11, D-79108 Freiburg, Germany 10.3762/bjnano.16.113 Abstract Biological systems and their structural and functional adaptations provide valuable insights into increasing the longevity of engineered materials. A

Modeling magnetic properties of cobalt nanofilms used as a component of spin hybrid superconductor–ferromagnetic structures

• Aleksey Fedotov,
• Olesya Severyukhina,
• Anastasia Salomatina and
• Anatolie Sidorenko

Beilstein J. Nanotechnol. 2025, 16, 1557–1566, doi:10.3762/bjnano.16.110

• Aleksey Fedotov Olesya Severyukhina Anastasia Salomatina Anatolie Sidorenko Modeling Structures and Functional Materials Group, Institute of Mechanics, Udmurt Federal Research Center, Ural Division, Russian Academy of Sciences, Baramzinoy 34, Izhevsk 426067, Russia Nanotechnology and Microsystems

Mechanical stability of individual bacterial cells under different osmotic pressure conditions: a nanoindentation study of Pseudomonas aeruginosa

• Lizeth García-Torres,
• Idania De Alba Montero,
• Eleazar Samuel Kolosovas-Machuca,
• Facundo Ruiz,
• Sumati Bhatia,
• Jose Luis Cuellar Camacho and
• Jaime Ruiz-García

Beilstein J. Nanotechnol. 2025, 16, 1171–1183, doi:10.3762/bjnano.16.86

• from hypotonic to hypertonic solutions suggest a softening of the outer envelope, which we associate with intense dehydration and membrane separation between inner and outer envelopes. Application of a contact mechanics model to account for the minute differences in mechanical behavior upon deformation

• Young’s modulus is extracted after a mechanics model has been chosen in the analysis software and the appropriate parameters between the AFM tip and sample have been given. Although the apex of the tip used in this case is not a perfect cone, and the radius of the tip is about 10% of that of PA, analysis

• conditions. Still, we see a slight trend towards lower values from hypotonic to hypertonic solutions for the Young's modulus. This observation will be discussed below in the discussion section regarding the application of the mechanics model. Opposite to the Young’s modulus, the mean maximal induced

Biomimetics and bioinspired surfaces: from nature to theory and applications

• Rhainer Guillermo Ferreira,
• Thies H. Büscher,
• Manuela Rebora,
• Poramate Manoonpong,
• Zhendong Dai and
• Stanislav N. Gorb

Beilstein J. Nanotechnol. 2025, 16, 418–421, doi:10.3762/bjnano.16.32

• Mechanics and Control for Aerospace Structures, College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China 10.3762/bjnano.16.32 Keywords: adhesives; bioengineering; biomimetics; drag reduction; functional morphology; insects; medical coatings

Effect of radiation-induced vacancy saturation on the first-order phase transformation in nanoparticles: insights from a model

• Aram Shirinyan and
• Yuriy Bilogorodskyy

Beilstein J. Nanotechnol. 2024, 15, 1453–1472, doi:10.3762/bjnano.15.117

• -state concentrations of these defects under given irradiation conditions. In this approach, the rates of defect formation and annihilation are described by kinetic equations, which may be derived from fundamental principles such as the laws of thermodynamics and statistical mechanics. These equations

Hymenoptera and biomimetic surfaces: insights and innovations

• Vinicius Marques Lopez,
• Carlo Polidori and
• Rhainer Guillermo Ferreira

Beilstein J. Nanotechnol. 2024, 15, 1333–1352, doi:10.3762/bjnano.15.107

• sizes using different regions of the mandible [70]. This ingenious natural design could inspire the development of multifunctional robotic grippers, offering improved stability and adaptability in handling diverse objects [70]. The specialized mandibular morphology and task-specific bite mechanics

• from their highly specialized form, also the elemental structure of this organ evolved to increase drilling ability while limiting abrasion and wear. Indeed, trace metals such as Zn, Mn, and Cu were variably found within the cuticle matrix of Hymenoptera ovipositors and stings [159][160]. The mechanics

• reduce wear and tear, leading to longer lasting and more effective equipment. This innovation can be applied in various industries, from construction to manufacturing, enhancing productivity, and reducing operational costs. In environmental science, the study of ovipositor mechanics can contribute to the

New design of operational MEMS bridges for measurements of properties of FEBID-based nanostructures

• Bartosz Pruchnik,
• Krzysztof Kwoka,
• Ewelina Gacka,
• Dominik Badura,
• Piotr Kunicki,
• Andrzej Sierakowski,
• Paweł Janus,
• Tomasz Piasecki and
• Teodor Gotszalk

Beilstein J. Nanotechnol. 2024, 15, 1273–1282, doi:10.3762/bjnano.15.103

• the material parameters provided by the “MEMS” library. The geometry of the model was defined by the technological design. Microfabrication artefacts were not taken into account. The model was analysed in the steady-state study. The solid mechanics and heat transfer modules were used together with the

AI-assisted models to predict chemotherapy drugs modified with C₆₀ fullerene derivatives

• Jonathan-Siu-Loong Robles-Hernández,
• Dora Iliana Medina,
• Katerin Aguirre-Hurtado,
• Marlene Bosquez,
• Roberto Salcedo and
• Alan Miralrio

Beilstein J. Nanotechnol. 2024, 15, 1170–1188, doi:10.3762/bjnano.15.95

• simplified molecular input line entry specification (SMILES) retrieved from Drugbank. Molecular mechanics and density functional-based tight binding (DFTB) with dispersion and solvation corrections were used to obtain the optimized structures of the molecules under study and to compute EHOMO, ELUMO, and ω as

Direct electron beam writing of silver using a β-diketonate precursor: first insights

• Katja Höflich,
• Krzysztof Maćkosz,
• Chinmai S. Jureddy,
• Aleksei Tsarapkin and
• Ivo Utke

Beilstein J. Nanotechnol. 2024, 15, 1117–1124, doi:10.3762/bjnano.15.90

• Katja Hoflich Krzysztof Mackosz Chinmai S. Jureddy Aleksei Tsarapkin Ivo Utke Ferdinand-Braun-Institut (FBH), Gustav-Kirchhoff-Str. 4, 12489 Berlin, Germany Laboratory of Mechanics for Materials and Nanostructures, Empa – Swiss Federal Laboratories for Material Science and Technology

A review on the structural characterization of nanomaterials for nano-QSAR models

• Salvador Moncho,
• Eva Serrano-Candelas,
• Jesús Vicente de Julián-Ortiz and
• Rafael Gozalbes

Beilstein J. Nanotechnol. 2024, 15, 854–866, doi:10.3762/bjnano.15.71

• complexity of inorganic materials and, in place of structural features, focus on electronic features. In this regard, several descriptors were obtained from quantum mechanics (QM) calculations of small clusters or periodic models [26][27][28][29][30]. Although cluster-calculated QM descriptors are inherently

Determination of the radii of coated and uncoated silicon AFM sharp tips using a height calibration standard grating and a nonlinear regression function

• Perawat Boonpuek and
• Jonathan R. Felts

Beilstein J. Nanotechnol. 2023, 14, 1200–1207, doi:10.3762/bjnano.14.99

• force curves with contact mechanics models and extracting the adhesion and friction forces [5][6]. If we do not know the exact value of the tip radius, the sample image with the observation of scanning frequency and the calculation results are not accurate. This indicates that the measurement results

Spatial mapping of photovoltage and light-induced displacement of on-chip coupled piezo/photodiodes by Kelvin probe force microscopy under modulated illumination

• Zeinab Eftekhari,
• Nasim Rezaei,
• Hidde Stokkel,
• Jian-Yao Zheng,
• Andrea Cerreta,
• Ilka Hermes,
• Minh Nguyen,
• Guus Rijnders and
• Rebecca Saive

Beilstein J. Nanotechnol. 2023, 14, 1059–1067, doi:10.3762/bjnano.14.87

• devices. Solid mechanics and electrostatics modules were coupled to facilitate the piezoelectricity calculations. As shown in Figure 2, the symmetry condition is used to reduce the computation cost of the simulations. Analogous to our AFM and KPFM experiments, the sample edges are fixed. Additionally, the

Two-dimensional molecular networks at the solid/liquid interface and the role of alkyl chains in their building blocks

• Suyi Liu,
• Yasuo Norikane and
• Yoshihiro Kikkawa

Beilstein J. Nanotechnol. 2023, 14, 872–892, doi:10.3762/bjnano.14.72

• ) as a reference can provide precise 2D structures, including intermolecular distances and molecular orientations. To study the adsorption of alkane on graphite, computational simulations such as molecular mechanics and DFT calculations with the local density approximation have been applied [48][49][53

Ultralow-energy amorphization of contaminated silicon samples investigated by molecular dynamics

• Grégoire R. N. Defoort-Levkov,
• Alan Bahm and
• Patrick Philipp

Beilstein J. Nanotechnol. 2023, 14, 834–849, doi:10.3762/bjnano.14.68

• derived from quantum mechanics calculations [33][34] and allow one to model the formation and breaking of bonds with good precision and reasonable computation costs. For our simulations, this information is of critical importance since it allows us to describe precisely the interactions taking place

• preparation or milling processes. Simulations give us access to atomic-scale parameters that cannot be obtained in experiments and which are interesting for the fundamental understanding of sputtering mechanics. These simulations were performed with only one kind of contaminant, namely water, and without

Investigations on the optical forces from three mainstream optical resonances in all-dielectric nanostructure arrays

• Guangdong Wang and
• Zhanghua Han

Beilstein J. Nanotechnol. 2023, 14, 674–682, doi:10.3762/bjnano.14.53

• remains spatially localized while the frequency co-exists within a continuum of radiations. Although this concept was first proposed in the field of quantum mechanics [11], it has also attracted much attention in recent years in photonics [12] due to its ability to achieve high-quality (Q) factor

Thermal transport in kinked nanowires through simulation

• Alexander N. Robillard,
• Graham W. Gibson and
• Ralf Meyer

Beilstein J. Nanotechnol. 2023, 14, 586–602, doi:10.3762/bjnano.14.49

• typical transport length through the system. In the case of the kinked nanowires, this transport length is more likely the wire radius, r, than the total length of the system. In fluid mechanics, a large Knudsen number (near or greater than 1) typically indicates the unsuitability of a continuum approach

Intermodal coupling spectroscopy of mechanical modes in microcantilevers

• Ioan Ignat,
• Bernhard Schuster,
• Jonas Hafner,
• MinHee Kwon,
• Daniel Platz and
• Ulrich Schmid

Beilstein J. Nanotechnol. 2023, 14, 123–132, doi:10.3762/bjnano.14.13

• . Through such findings we aim to expand the field of multifrequency AFM with innumerable possibilities leading to improved signal-to-noise ratios, all accessible with no additional hardware. Keywords: atomic force microscopy; intermodal coupling; nonlinear mechanics; optomechanics; sideband cooling

The influence of structure and local structural defects on the magnetic properties of cobalt nanofilms

• Alexander Vakhrushev,
• Aleksey Fedotov,
• Olesya Severyukhina and
• Anatolie Sidorenko

Beilstein J. Nanotechnol. 2023, 14, 23–33, doi:10.3762/bjnano.14.3

• Alexander Vakhrushev Aleksey Fedotov Olesya Severyukhina Anatolie Sidorenko Modeling and Synthesis of Technological Structures Department, Institute of Mechanics, Udmurt Federal Research Centre, Ural Division, Russian Academy of Sciences, Baramzinoy 34, Izhevsk 426067, Russia Orel State University

Frequency-dependent nanomechanical profiling for medical diagnosis

• Santiago D. Solares and
• Alexander X. Cartagena-Rivera

Beilstein J. Nanotechnol. 2022, 13, 1483–1489, doi:10.3762/bjnano.13.122

• experts (typically physicists or engineers) and application “customers”. For instance, in the context of cancer, there is still relatively limited collaboration among engineers, biophysicists, cancer biologists, and oncologists, which impedes progress in elucidating the role of mechanics in disease

Double-layer symmetric gratings with bound states in the continuum for dual-band high-Q optical sensing

• Chaoying Shi,
• Jinhua Hu,
• Xiuhong Liu,
• Junfang Liang,
• Jijun Zhao,
• Haiyan Han and
• Qiaofen Zhu

Beilstein J. Nanotechnol. 2022, 13, 1408–1417, doi:10.3762/bjnano.13.116

• Neumann and Wigner first proposed the BIC theory shortly after the advent of quantum mechanics [20], which was then extended to acoustics, electromagnetism, and other fields [21][22][23][24]. A true BIC has an infinite Q-factor and vanishing resonant linewidth, and this can only exist in an ideal lossless

Bending and punching characteristics of aluminum sheets using the quasi-continuum method

• Man-Ping Chang,
• Shang-Jui Lin and
• Te-Hua Fang

Beilstein J. Nanotechnol. 2022, 13, 1303–1315, doi:10.3762/bjnano.13.108

• strain distribution, and fracture strength were provided as well as the interfacial mechanics and punching characteristics of each nano-punching model. Model and Methodologies The simulation model of the nano-punching system comprises a punch and a single crystalline Al workpiece, as shown in Figure 1

Studies of probe tip materials by atomic force microscopy: a review

• Ke Xu and
• Yuzhe Liu

Beilstein J. Nanotechnol. 2022, 13, 1256–1267, doi:10.3762/bjnano.13.104

• integration for chemical or biological sensing. Large size colloidal probe Large colloidal probes are widely used to study the mechanics of samples with weaker interaction forces and local variations over a large contact range, and large CPs enable a better comparison of the results achieved in AFM compared