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Quantification of corrugation in simulated graphene by electron tomography techniques
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10.1063/1.4768701
/content/aip/journal/apl/101/21/10.1063/1.4768701
http://aip.metastore.ingenta.com/content/aip/journal/apl/101/21/10.1063/1.4768701
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Figures

Image of FIG. 1.
FIG. 1.

A graphene monolayer modeled by a set of (x,y,z) coordinates. Interatomic distances and honeycomb lattice constraints are imposed to match a real graphene structure. A sinusoidal function of the z coordinate is used to model the corrugation.

Image of FIG. 2.
FIG. 2.

Reconstruction error calculated in z coordinate at different number of projections for the noise-free series. The following angles sets are considered: {0, 5}, {−5, 0, 5}, {−5, 0, 5, 10}, and {−10, −5, 0, 5, 10} degrees.

Image of FIG. 3.
FIG. 3.

Filtering process for atoms location in the tomographic series. (a) Simulated image with gaussian noise added (). (b) Noise reduction obtained through the application of Wiener filter to (a). (c) Final image, obtained from (b) by applying a low-pass filter. Local maxima of intensities and thus atom positions in the projections are computed from (c).

Image of FIG. 4.
FIG. 4.

Reconstruction error in z coordinate calculated by varying the number of projections. Each group represents the number of projections used for the reconstruction. Within a group, different levels of noise have been added to the series in order to test the robustness of the method.

Image of FIG. 5.
FIG. 5.

Reconstruction error in z coordinate calculated by varying the intensity of the noise. Each group represents the Gaussian noise added to the simulated series. Within a group, an increasing number of projections has been used to study the behavior of the method in presence of noise.

Image of FIG. 6.
FIG. 6.

(a) Simulated structure visualized as an isosurface. (b) One of the reconstructed structure obtained during the tests with noised series. The images refer to 5 projections and .

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/content/aip/journal/apl/101/21/10.1063/1.4768701
2012-11-21
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Quantification of corrugation in simulated graphene by electron tomography techniques
http://aip.metastore.ingenta.com/content/aip/journal/apl/101/21/10.1063/1.4768701
10.1063/1.4768701
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