TITLE

Distributive lattice structure on the set of perfect matchings of carbon nanotubes

AUTHOR(S)
Tratnik, Niko; Žigert Pleteršek, Petra
PUB. DATE
June 2016
SOURCE
Journal of Mathematical Chemistry;Jun2016, Vol. 54 Issue 6, p1296
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Carbon nanotubes are composed of carbon atoms linked in hexagonal shapes, with each carbon atom covalently bonded to three other carbon atoms. Carbon nanotubes have diameters as small as 1 nm and lengths up to several centimeters. Carbon nanotubes can be open-ended or closed-ended (fullerenes). Open-ended single-walled carbon nanotubes are also called tubulenes. The resonance graph R( T) of a tubulene T reflects interactions between Kekulé structures-i.e. perfect matchings of T. With the orientation of edges the resonance digraph $$\overrightarrow{R}(T)$$ of a tubulene is obtained. As the main result we show that $$\overrightarrow{R}(T)$$ is isomorphic to the Hasse diagram of the direct sum of some distributive lattices. Similar results were proved in [, ], but one can not directly apply them to tubulenes. As a consequence of the main result it is proved that every connected component of R( T) is a median graph. Further we show that the block graph of every connected component H of the resonance graph of a tubulene is a path and that H contains at most two vertices of degree one.
ACCESSION #
114853754

 

Related Articles

  • Noncovalent and covalent functionalization of a (5, 0) single-walled carbon nanotube with alanine and alanine radicals. Rajarajeswari, Muthusivarajan; Iyakutti, Kombiah; Kawazoe, Yoshiyuki // Journal of Molecular Modeling;Feb2012, Vol. 18 Issue 2, p771 

    We have systematically investigated the noncovalent and covalent adsorption of alanine and alanine radicals, respectively, onto a (5, 0) single-walled carbon nanotube using first-principles calculation. It was found that XH···π (X = N, O, C) interactions play a crucial role in the...

  • Characterization of Si-C covalent bonding fabricated between single carbon nanotube and Si substrate. Liu Xia; Cao Lianzhen // Applied Mechanics & Materials;2014, Issue 543-547, p3711 

    The Si-C covalent bonding between Carbon nanotube and Si substrate was fabricated by thermal vapor deposition using photolithography and gas blowing technology. Scanning electron microscopy, micro-Raman imaging and spectroscopy were used to investigate the interaction of individual CNTs and Si...

  • Foreword. Morrow, Benjamin; Mathaudhu, Suveen; Cerreta, Ellen; Pablo Escobedo-Diaz, J.; Trinkle, Dallas // Metallurgical & Materials Transactions. Part A;Dec2014, Vol. 45 Issue 13, p5876 

    An introduction is presented in which the editor discusses various reports within the issue on topics including microstructural observations such as twin boundaries and dislocations, mechanical behavior of hexagonal close-packed (HCP) metals, and multiscale simulation and modeling of HCP...

  • Why Nature Prefers Hexagons. BALL, PHILIP // Nautilus;Mar/Apr2016, Issue 13, p97 

    The article focuses on adoption of hexagonal geometric structure by natural services that includes observation of honeycombs development as wax chambers by bees, illustration of surface tension in soap film structures and information on bio mineralization process.

  • On the Atomistic Simulation of Elastic, Plastic, Buckling and Post-Buckling Behaviors of Carbon Nanotubes. Fakhrabadi, M. M. S.; Norouzirfard, V.; Dadashzadeh, M.; Dadashzadeh, B. // International Review of Mechanical Engineering;Sep2011, Vol. 5 Issue 6, p1052 

    This paper deals with investigation of elastic and plastic properties of the carbon nanotube as well as its buckling behaviors. The carbon nanotubes with different diameters are simulated using molecular dynamics with reactive empirical bond-order potential of Brenner for covalent bonds...

  • Carbon nanotubes: A bright future for defects. Wang, Qing Hua; Strano, Michael S. // Nature Chemistry;Oct2013, Vol. 5 Issue 10, p812 

    The article offers information on the study conducted by Wang and colleagues which examines the photoluminescence of single-walled carbon nanotubes (SWCNTs). It mentions that Wang and colleagues have discovered a mechanism to enhance the photoluminescence of SWCNTs through the use of covalent...

  • Covalent crosslinking of carbon nanostructures. MAITRA, URMIMALA; PANDEESWAR, M; GOVINDARAJU, T // Journal of Chemical Sciences;May2012, Vol. 124 Issue 3, p551 

    Covalent crosslinking of carbon nanostructures of different dimensionalities such as nanodiamond, single walled carbon nanotubes (SWNTs) and graphene can yield useful homo- and hetero-binary conjugates. Binary conjugation of the nanocarbons has been achieved by introducing symmetrical...

  • Photoactuation behavior of styrene-b-isoprene-b-styrene filled with covalently modified carbon nanotubes. Mosnácˇek, Jaroslav; Ilcˇíková, Markéta; Chorvát, Dusˇan; Czaniková, Klaudia; Krupa, Igor // AIP Conference Proceedings;7/11/2012, Vol. 1459 Issue 1, p193 

    Styrene-b-isoprene-b-styrene (Kraton) was used as polymer matrix for preparation of multiwall carbon nanotubes (MWCNT) based nanocomposites. In order to suppress aggregation of the he carbon nanotubes and to improve the interations with the Kraton matrix, the MWCNT were modified with cholesteryl...

  • Grafting of Multiwalled Carbon Nanotubes with Chicken Feather Keratin. Estévez-Martínez, Yoxkin; Velasco-Santos, Carlos; z-Hernández, Ana-LauraMartíne; Delgado, Guadalupe; Cuevas-Yáñez, Erick; Alaníz-Lumbreras, Daniel; Duron-Torres, Sergio; Castaño, VíctorM. // Journal of Nanomaterials;2013, p1 

    Keratin, obtained from chicken feathers, was grafted on the surface of commercially available carbon nanotubes. The original procedure developed allows a covalent interaction between some specific chemical groups characteristic of the keratin, with some functional groups introduced on purpose on...

  • Recent advances in the development of functionalized carbon nanotubes: a versatile vector for drug delivery. Sun, Hang; She, Ping; Lu, Guolong; Xu, Kongliang; Zhang, Wei; Liu, Zhenning // Journal of Materials Science;Oct2014, Vol. 49 Issue 20, p6845 

    Carbon nanotubes (CNTs) possess unique physical and chemical properties and can serve as a platform for transporting a variety of bioactive molecules, such as drugs, proteins, and genes, given appropriate surface modifications. Here, we present an overview of the progress in applying CNTs as...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics