Optical simulations of electron diffraction by carbon nanotubes

Lucas, A. A.; Moreau, F.; Lambin, Philippe

doi:10.1103/revmodphys.74.1

Cited by 35 publications

(13 citation statements)

References 25 publications

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“…A similar high sensitivity of layer lines on sample angular orientation has been observed in the electron diffraction pattern of achiral carbon nanotubes [18,19].…”

Section: Accidental Layer Line Extinctionssupporting

confidence: 73%

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Rosetta Stone of the genetic language

Lucas¹

2002

Int J of Quantum Chemistry

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ABSTRACT:The paper begins with a guided tour through the history of several major deciphering events in modern science, going from the determination of the wave nature of visible light in the early 19th century, via the discovery of X-rays and their electromagnetic nature around the turn of the 19th century, and onward to the great decipherments of molecular biology of recent times. The central piece of the latter decoding efforts, i.e., the measurement of the X-ray diffraction diagram of DNA, occurred in the middle of the 20th century and lead Watson and Crick to the discovery of the structure of the molecule. In the second part of the paper, a detailed analysis is given of the relationship between the gross features of the X-ray diagram and the corresponding structural elements of the doubly helical DNA backbone. In the third part, simple optical diffraction experiments, using a laser pointer and a single diffraction slide, are described which allow to mimic the X-ray diffraction experiment and reproduce all the major characteristics of the observed X-ray picture. Finally, the paper presents a quantitative description of the wave diffraction by an atomic helix and discusses the mathematical origin of the various features of the X-ray and optical patterns.

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“…A similar high sensitivity of layer lines on sample angular orientation has been observed in the electron diffraction pattern of achiral carbon nanotubes [18,19].…”

Section: Accidental Layer Line Extinctionssupporting

confidence: 73%

“…pattern of carbon nanotubes [18,19] when they are described as being built up from an increasing number of carbon helices [20].…”

Section: Systematic Layer Line Extinctions: E I ؉ 1 ‫؍‬mentioning

confidence: 99%

Rosetta Stone of the genetic language

Lucas¹

2002

Int J of Quantum Chemistry

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“…Thus, the obtained results can lead to a new method of characterization of achiral carbon nanotubes, based on the rainbow effect. This method would be complementary to the existing method of characterization of nanotubes by electrons impinging on them transversely rather than longitudinally, which is based on the diffraction effect (see, e.g., Lucas et al (2002)).…”

Section: Rainbows With a Straight Very Short Bundle Of Nanotubesmentioning

confidence: 99%

Channeling of protons through carbon nanotubes

Borka

Mowbray

Mišković

et al. 2008

J. Phys.: Conf. Ser.

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Abstract. We investigate how dynamic polarization of carbon valence electrons influences both the angular and spatial distributions of protons channeled in a (11, 9) single-wall carbon nanotube placed in vacuum and in different dielectric media. Proton speeds between 3 and 10 a.u., corresponding to energies of 0.223 and 2.49 MeV, are chosen with the nanotube length varied between 0.1 and 1 µm. In all performed calculations we describe the interaction between proton and carbon atoms on the nanotube wall using the Doyle-Turner potential. The image force on a proton is calculated using a two-dimensional hydrodynamic model for the dynamic response of the nanotube valence electrons and the dielectric media surrounding the nanotube. The angular distributions of channeled protons are generated using a computer simulation method which solves the proton equations of motion in the transverse plane numerically. The best level of ordering and straightening of carbon nanotube arrays is often achieved when they are grown in a dielectric matrix. Consequently, we investigate here how the dynamic polarization of carbon valence electrons in the presence of various surrounding dielectric media affects the angular distributions of protons channeled through (11, 9) single-wall carbon nanotubes. Our analysis shows that the inclusion of the image interaction, gives rise to a number of rainbow maxima in the corresponding angular and spatial distribution. Our analysis shows that the presence of dielectric media surrounding the nanotube influences the positions and appearance of rainbows in the corresponding angular and spatial distributions. In addition, we analyze the possibility of production of nano-sized beams by carbon nanotubes.

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“…It is known that SWNT possesses crystalline graphitic sp 2 network. [43][44] Therefore, the TEM analysis reveals that a structural transformation takes place during the vacuum breakdown that converts the crystalline structure to amorphous material.…”

Section: Resultsmentioning

confidence: 99%