Carbon nanocones: wall structure and morphology

Naess, Stine Nalum; Elgsaeter, Arnljot; Helgesen, Geir; Knudsen, Kenneth D.

doi:10.1088/1468-6996/10/6/065002

Cited by 123 publications

(65 citation statements)

References 27 publications

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“…Cones are a further member of uniaxial polar particles. Carbon nanocones appear naturally in graphite [34][35][36] and do not need to be produced by an elaborate method. By the mergence of two spheres with different diameters, one obtains a pear-like particle [37,38].…”

Section: Geometric Classification Of Colloidal Particlesmentioning

confidence: 99%

Dynamical density functional theory for colloidal particles with arbitrary shape

2011

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Starting from the many-particle Smoluchowski equation, we derive dynamical density functional theory for Brownian particles with an arbitrary shape. Both passive and active (self-propelled) particles are considered. The resulting theory constitutes a microscopic framework to explore the collective dynamical behavior of biaxial particles in nonequilibrium. For spherical and uniaxial particles, earlier derived dynamical density functional theories are recovered as special cases. Our study is motivated by recent experimental progress in preparing colloidal particles with many different biaxial shapes.

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Section: Geometric Classification Of Colloidal Particlesmentioning

confidence: 99%

Dynamical density functional theory for colloidal particles with arbitrary shape

2011

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“…The long-wavelength excitations of the electronic subsystem in graphene are described by a pair [74,75]. At the apex of the graphitic cone the hexagon of the planar graphene lattice is replaced by a polygon having 6 − N c sites.…”

Section: Expectation Values In Parity and Time-reversal Symmetric Modelsmentioning

confidence: 99%

Finite temperature fermion condensate, charge and current densities in a ( $$2+1$$ 2 + 1 )-dimensional conical space

et al. 2016

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We evaluate the fermion condensate and the expectation values of the charge and current densities for a massive fermionic field in (2 + 1)-dimensional conical spacetime with a magnetic flux located at the cone apex. The consideration is done for both irreducible representations of the Clifford algebra. The expectation values are decomposed into the vacuum expectation values and contributions coming from particles and antiparticles. All these contributions are periodic functions of the magnetic flux with the period equal to the flux quantum. Related to the non-invariance of the model under the parity and time-reversal transformations, the fermion condensate and the charge density have indefinite parity with respect to the change of the signs of the magnetic flux and chemical potential. The expectation value of the radial current density vanishes. The azimuthal current density is the same for both the irreducible representations of the Clifford algebra. It is an odd function of the magnetic flux and an even function of the chemical potential. The behavior of the expectation values in various asymptotic regions of the parameters are discussed in detail. In particular, we show that for points near the cone apex the vacuum parts dominate. For a massless field with zero chemical potential the fermion condensate and charge density vanish. Simple expressions are derived for the part in the total charge induced by the planar angle deficit and magnetic flux. Combining the results for separate irreducible representations, we also consider the fermion condensate, charge and current densities in parity and time-reversal symmetric models. Possible applications to graphitic nanocones are discussed. a

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“…The solid output of this pyrolytic method consists of nanocones (20%) [3], a large number of carbon nanodisks (70%), and carbon black (10%). The properties of this relatively new material have not yet been fully investigated.…”

Section: Introductionmentioning

confidence: 99%

“…The properties of this relatively new material have not yet been fully investigated. Several studies focus on the structural characterization of the nanocones [1,3,4] which have well-defined symmetry exclusively determined by the topology at the cone tip.…”

Section: Introductionmentioning

confidence: 99%

Substrate-induced strain in carbon nanodisks

et al. 2014

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Abstract:Graphitic nanodisks of typically 20 -50 nm in thickness, produced by the so-called Kvaerner Carbon Black and Hydrogen Process were dispersed on gold substrate and investigated by atomic force microscopy (AFM), field emission scanning electron microscopy (FE-SEM), and confocal Raman spectroscopy. The roughness of the gold surface was drastically changed by annealing at 400 o C. AFM measurements show that this change in the surface roughness induces changes also in the topography of the nanodisks, as they closely follow the corrugation of the gold substrate. This leads to strained nanodisks, which is confirmed also by confocal Raman microscopy. We found that the FE-SEM contrast obtained from the disks depends on the working distance used during the image acquisition by In-lens detection, a phenomenon which we explain by the decrease in the amount of electrons reaching the detector due to diffraction. This process may affect the image contrast in the case of other layered materials, like hexagonal boron nitride, and other planar hybrid nanostructures, too.

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Carbon nanocones: wall structure and morphology

Cited by 123 publications

References 27 publications

Dynamical density functional theory for colloidal particles with arbitrary shape

Dynamical density functional theory for colloidal particles with arbitrary shape

Finite temperature fermion condensate, charge and current densities in a ( $$2+1$$ 2 + 1 )-dimensional conical space

Substrate-induced strain in carbon nanodisks

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