unDrift: A versatile software for fast offline SPM image drift correction

• Tobias Dickbreder,
• Franziska Sabath,
• Lukas Höltkemeier,
• Ralf Bechstein and
• Angelika Kühnle

Beilstein J. Nanotechnol. 2023, 14, 1225–1237, doi:10.3762/bjnano.14.101

• , e) Calculated drift velocities in polar coordinates as function of the measurement time t. The absolute values of and the corresponding angle θd in are shown in (d) and (e), respectively. Results from trace and retrace images are shown as black and red circles, respectively, and the smoothed

A set of empirical equations describing the observed colours of metal–anodic aluminium oxide–Al nanostructures

• Cristina V. Manzano,
• Jakob J. Schwiedrzik,
• Gerhard Bürki,
• Laszlo Pethö,
• Johann Michler and
• Laetitia Philippe

Beilstein J. Nanotechnol. 2020, 11, 798–806, doi:10.3762/bjnano.11.64

• (AAO) films; anodization; structural colours; reflectance; polar coordinates; plasmonic effects; Introduction Recently, the reproduction of the vivid colours found in nature has received increasing interest [1]. These colours appear when light interacts with periodic structures. With regard to this

• developed using Yxy values measuring only the reflectance, thickness and porosity of the films by means of SEM. To achieve this, AAO films of different thickness were anodized and the obtained Yxy values were converted into polar coordinates to determine the relationship between the thickness and the colour

• the x and y values obtained from the reflectance measurements. The proposed model defines a spiral shape. First, Cartesian coordinates (x, y) are transformed to polar coordinates (R, θ) by applying Equation S1 and Equation S2 (Supporting Information File 1). The values were divided into two different

Remarkable electronic and optical anisotropy of layered 1T’-WTe₂ 2D materials

• Qiankun Zhang,
• Rongjie Zhang,
• Jiancui Chen,
• Wanfu Shen,
• Chunhua An,
• Xiaodong Hu,
• Mingli Dong,
• Jing Liu and
• Lianqing Zhu

Beilstein J. Nanotechnol. 2019, 10, 1745–1753, doi:10.3762/bjnano.10.170

• (Figure 1a) in polar coordinates. c) Azimuth-dependent RDM images. Angle-resolved DC conductivity of a 1T’-WTe2 thin film. a) Optical image of s WTe2 flake with 12 electrodes spaced 30° apart. b) and c) are the transfer characteristic curves and the output characteristic curves, respectively. d) Angle

• angles (from 0° to 150°) with incident wavelength at 633 nm and power at 1.4 mW. d) Angle-resolved photosensitivity of 1T’-WTe2 in polar coordinates (wavelength: 633 nm). Angle-resolved photocurrent response of the photodetector based on 1T’-WTe2. a) Real-time photocurrent response of different test

Electromagnetic analysis of the lasing thresholds of hybrid plasmon modes of a silver tube nanolaser with active core and active shell

• Denys M. Natarov,
• Trevor M. Benson and
• Alexander I. Nosich

Beilstein J. Nanotechnol. 2019, 10, 294–304, doi:10.3762/bjnano.10.28

• general configuration, which has S concentric circular boundaries and, respectively, S + 1 regions, where s = 1 corresponds to the central region, and s = S + 1 to the outer region. Introducing the polar coordinates (r, φ) and denoting the radius of the s-th boundary and the refractive index in the s-th

Robust topological phase in proximitized core–shell nanowires coupled to multiple superconductors

• Tudor D. Stanescu,
• Anna Sitek and
• Andrei Manolescu

Beilstein J. Nanotechnol. 2018, 9, 1512–1526, doi:10.3762/bjnano.9.142

• discretized on a grid defined in polar coordinates and diagonalized numerically [37][53]. The resulting low-energy eigenstates, corresponding to corner localization, are further used as a basis to find the eigenstates of the BdG Hamiltonian, assuming plane waves in direction longitudinal to the prism. The

• SOC model similar to that of the planar electron gas, but on a cylindrical surface of radius R, i.e., transformed from Cartesian to polar coordinates [54]. Since the sides of the triangular shell are unpopulated this model is qualitatively reasonable, and can lead to Majorana states. As mentioned

Nanoscale effects in the characterization of viscoelastic materials with atomic force microscopy: coupling of a quasi-three-dimensional standard linear solid model with in-plane surface interactions

• Santiago D. Solares

Beilstein J. Nanotechnol. 2016, 7, 554–571, doi:10.3762/bjnano.7.49

• that undergo displacement are those directly under the tip, which the tip directly depresses. Thus the Q3D model (in its polar coordinates implementation) has been enhanced by introducing additional linear springs between the adjacent concentric area elements (Figure 6d), which can be loosely related

• positions of the various surface elements along the radial direction, plotted individually as a function of time. In these simulations, the outermost surface element was kept fixed (element number 299, located at a radial distance from the polar coordinates origin equal to 1.9 × (tip radius) = 38 nm). It is

A simple and efficient quasi 3-dimensional viscoelastic model and software for simulation of tapping-mode atomic force microscopy

• Santiago D. Solares

Beilstein J. Nanotechnol. 2015, 6, 2233–2241, doi:10.3762/bjnano.6.229

•  2b, the degree of relaxation of each individual SLS model is dictated by the geometry of the tip. Given the spherical symmetry of the ideal AFM tip, it is convenient to use polar coordinates, whereby the surface is modeled as a set of concentric rings (Figure 3), in which the radial coordinate is

• model with the tip. However, the imposition of radial or any type of symmetry is not a requirement and any arbitrary distribution of SLS parameters over the 2D surface can be defined either in rectangular or polar coordinates. For brevity and simplicity this paper illustrates only the case of radially

Production, detection, storage and release of spin currents

• Michele Cini

Beilstein J. Nanotechnol. 2015, 6, 736–743, doi:10.3762/bjnano.6.75

• magnetic field is exact, since the pure spin current is even under the time reversal operator T while the magnetic field is odd. In polar coordinates, with y = r cos(θ), z = r sin(θ), the electric field components are given by: The pattern is shown in Figure 2. Note that all the black arrows represent the

Strain distribution due to surface domains: a self-consistent approach with respect to surface elasticity

• Javier Fuhr and
• Pierre Müller

Beilstein J. Nanotechnol. 2015, 6, 321–326, doi:10.3762/bjnano.6.30

• at the surface expressed in polar coordinates: again with the Voigt notation in polar coordinates Arr≡Ar, Aθθ≡Aθ. By using the classical mechanical equilibrium equation and strain–displacement relations expressed in polar coordinates we obtain the following force distribution The displacement can

Spin annihilations of and spin sifters for transverse electric and transverse magnetic waves in co- and counter-rotations

• Hyoung-In Lee and
• Jinsik Mok

Beilstein J. Nanotechnol. 2014, 5, 1887–1898, doi:10.3762/bjnano.5.199

• the polar coordinates through the transformation from Cartesian to polar coordinates. They are This derivation of from is rather complicated so that all the details are provided in Sections S7 and S8 of Supporting Information File 1. In particular, the even or odd numbers of differentiations play

• azimuthal component of the orbital FD is -times the energy density w, the latter being defined in Equation 8. As we have done for the Poynting-vector trajectories in Equation 14 [6], we find the following trajectory in polar coordinates from Equation 18 and Equation 19: The sign change in N2 ± |q|2 takes