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Search for "polynomial" in Full Text gives 56 result(s) in Beilstein Journal of Nanotechnology.

Guided immobilisation of single gold nanoparticles by chemical electron beam lithography

  • Patrick A. Schaal and
  • Ulrich Simon

Beilstein J. Nanotechnol. 2013, 4, 336–344, doi:10.3762/bjnano.4.39

Graphical Abstract
  • ” and “Correct horizontal scars (strokes)”. In addition, measurements with an edge length greater than 5 µm or distinct curvature were also corrected with “Remove polynomial background (degree: 2)”. Calculation of primary electron paths Paths of primary electrons in solid substrates were calculated with
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Published 31 May 2013

Interpreting motion and force for narrow-band intermodulation atomic force microscopy

  • Daniel Platz,
  • Daniel Forchheimer,
  • Erik A. Tholén and
  • David B. Haviland

Beilstein J. Nanotechnol. 2013, 4, 45–56, doi:10.3762/bjnano.4.5

Graphical Abstract
  • possible. We have previously shown how the individual amplitudes [26] and phases [30] of the IMPs in the narrow band around the first flexural resonance can be used for imaging. Furthermore, a polynomial reconstruction of the tip–surface force [31][32] and a numerical fit of the parameters of a force model
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Published 21 Jan 2013

Large-scale analysis of high-speed atomic force microscopy data sets using adaptive image processing

  • Blake W. Erickson,
  • Séverine Coquoz,
  • Jonathan D. Adams,
  • Daniel J. Burns and
  • Georg E. Fantner

Beilstein J. Nanotechnol. 2012, 3, 747–758, doi:10.3762/bjnano.3.84

Graphical Abstract
  • ) also generate inherent distortions in the image, creating an additional bow in the apparent topography [13]. Some of the early work in the field addresses the need to correct these background distortions appropriately by fitting only the background regions to a polynomial of the correct order [35]. 1-D
  • (less than 10 nm over 3 µm in either direction, which is very good for most samples). The background peak has been broadened so far as to be nearly indistinguishable. Figure 1D adds a second-order polynomial distortion to simulate scanner bow (less than 10 nm over the scan range, which is well within
  • fitting, are 2-D polynomial fits. 2-D polynomial fits can be performed by using either the whole figure for the fit, or only certain regions of the image determined by using thresholds. Figure 2 shows a comparison of different processing methods on a standard calibration grating as well as on a lipid
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Published 13 Nov 2012

Distance dependence of near-field fluorescence enhancement and quenching of single quantum dots

  • Volker Walhorn,
  • Jan Paskarbeit,
  • Heinrich Gotthard Frey,
  • Alexander Harder and
  • Dario Anselmetti

Beilstein J. Nanotechnol. 2011, 2, 645–652, doi:10.3762/bjnano.2.68

Graphical Abstract
  • second order polynomial was appended continuously. The angle of sample illumination was set to 45°, which is well above the critical angle of total reflection (approx. 43°) at an air–glass interface. Corresponding to the experiment, the wave lengths for illumination and fluorescence emission were set to
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Published 29 Sep 2011

Towards a scalable and accurate quantum approach for describing vibrations of molecule–metal interfaces

  • David M. Benoit,
  • Bruno Madebene,
  • Inga Ulusoy,
  • Luis Mancera,
  • Yohann Scribano and
  • Sergey Chulkov

Beilstein J. Nanotechnol. 2011, 2, 427–447, doi:10.3762/bjnano.2.48

Graphical Abstract
  • terms, two-dimensional couplings, three-dimensional couplings, etc. This expansion guarantees convergence, as a 3Na − 6 dimensional expansion describes the complete PES for a problem consisting of Na atoms in the case of an isolated molecule. Note that other representations, such as polynomial
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Published 10 Aug 2011

Structural and magnetic properties of ternary Fe1–xMnxPt nanoalloys from first principles

  • Markus E. Gruner and
  • Peter Entel

Beilstein J. Nanotechnol. 2011, 2, 162–172, doi:10.3762/bjnano.2.20

Graphical Abstract
  • individual twins in the particle. The evolution of multiply twinned morphologies has been traced back to a competition between surface and volume energy contributions, which vary with particle size. This can be understood by means of a phenomenological third order polynomial law which expresses the binding
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Published 16 Mar 2011
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