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• W1971794906 abstract "Despite extensive research on microscopic structure and physical property characterization of advanced nanocarbon systems, they have not been viewed as topologically distinct nanoscale materials with various geometries (curvature). This work is motivated by our recent work [S. Gupta and A. Saxena, J. Raman Spectrosc. 40, 1127 (2009)] where we introduced the notion of “global” topology for novel nanocarbons and provided systematic trends by monitoring the phonon spectra via resonance Raman spectroscopy, which led to the paradigm of curvature/topology → property → functionality relationship in these materials. Here we determined the distribution of the mean (H) and Gaussian (K) curvatures as pertinent observables for geometric characterization taking into account the observed geometrical parameters, that is, radius, polar, azimuthal, or conical angle associated with tubular (single, double-, and multi-walled nanotubes; K = 0), spherical (hypo- and hyperfullerenes; K &gt; 0) and complex (helical nanoribbons and nanotori/nanorings; K &lt; 0) nanocarbon geometries to quantify the interplay of intrinsic surface curvature and topology, wherein global topology of the overall sp2-bonded carbon (sp2C) constrains local topology of the constituent carbon rings. We also studied various other structures such as catenoid and saddle-shaped surfaces as interesting nanocarbons. We compared these results with highly oriented pyrolytic graphite and monolayer graphene as layered and planar systems, respectively. Moreover, nanocarbons discussed herein are their derivatives. Curvature leads to nonlinearity that manifests itself in some form of symmetry breaking which can be extrapolated to topological variation due to nanoscale defects. Thus it may either close/open the bandgap leading to the introduction of new Raman spectroscopy signatures and optical absorption peaks, changes in mechanical properties, electrical behavior, and electronic density of states and possibly inducing magnetism. Finally, we elucidate the role of curved geometry in Casimir forces arising in carbon nanostructures." @default.
• W1971794906 created "2016-06-24" @default.
• W1971794906 creator A5022157274 @default.
• W1971794906 creator A5091910309 @default.
• W1971794906 date "2011-04-01" @default.
• W1971794906 modified "2023-09-27" @default.
• W1971794906 title "Geometrical interpretation and curvature distribution in nanocarbons" @default.
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• W1971794906 doi "https://doi.org/10.1063/1.3553860" @default.
• W1971794906 hasPublicationYear "2011" @default.
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