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Evaluating the Mass Sensing Characteristics of SWCNC
Published in Satya Bir Singh, Prabhat Ranjan, Alexander V. Vakhrushev, A. K. Haghi, Mechatronic Systems Design and Solid Materials, 2021
Umang B. Jani, Bhavik A. Ardeshana, Ajay M. Patel, Anand Y. Joshi
Nanocones possess a pointy tip that can be useful to find out the specific mechanical properties of nanocones. Nanocones are very useful material for different types of technological applications. The angle of the sector removed from a flat graphene sheet to form a cone is known as disclination angle. Nanocones are classified according to their disclination angle. In this study, the authors have analyzed carbon nanocone of four different disclination angle 60°, 120°, 180° and 240° with three different lengths of cones are 10 Å, 15 Å, and 20 Å. Cone sheets with disclination angles of 60°, 120°, 180°, and 240° are shown in Figure 4.1.
Topological Descriptors of Carbon Nanostructures
Published in Klaus D. Sattler, st Century Nanoscience – A Handbook, 2019
The occurrence of hollow carbon structures is a fascinating phenomenon. Except for fullerenes and nanotubes, carbon nanocones have been observed as caps on the ends of the nanotubes or as free-standing structures on a flat graphite surface. A cone can be modeled by extracting a fan from a graphene sheet, rolling the remained sector around its apex and joining the two open sides. Especially, when the fan is above 60°, a heptagon is presented at the tip apex of the nanocone (see Figures 14.11 and 14.12). Continuing this process would produce more pentagons and simultaneously reduce the opening angle of the cone. A nanocone with six pentagons has an opening angle of zero, which is generally viewed as a nanotube with one end open.
Different Allotropes of Carbon, Their Structures and Properties
Published in Ramendra Sundar Dey, Taniya Purkait, Navpreet Kamboj, Manisha Das, Carbonaceous Materials and Future Energy, 2019
Ramendra Sundar Dey, Taniya Purkait, Navpreet Kamboj, Manisha Das
A carbon nanocone (CNC) is a closed cage of sp2-bonded carbon atoms with a diameter of 2–5 nm and length of 40–50 nm. CNCs can be considered a high-aspect ratio subclass of fullerenes owing to their closed cage structure [36]. The carbon cones can be demonstrated as being composed of curved graphite sheets formed as open cones. Figure 2.6 shows the formation of the CNCs, which can be imagined by cutting out the sectors of n × 60° (n = 1 − 5) from the flat sheet of graphene and subsequently connecting the edges [37]. Nanocone helicity is not constant and increases monotonously along the cone axis; hence, both chiral and achiral nanocones are possible. CNCs are synthesised mostly by Arc discharge methods, although there are few reports via Joule heating. CNCs are well adapted to large-scale production due to their potential application as electrodes for fuel cells.
Mathematical analysis of one-dimensional lead sulphide crystal structure using molecular graph theory
Published in Molecular Physics, 2022
Yogesh Singh, Sunny Kumar Sharma, Purnima Hazra
In the last two decades, the notion of metric dimension for several graph classes of mathematical significance has been investigated. For instance, (i) Distance regular graphs: Johnson graphs, Grassmann graphs, Kneser graphs [36]; (ii) Group-theoretic graphs: Cayley graphs and Cayley digraphs [37]; (iii) Product graphs: corona product graphs, categorial product graphs, cartesian product graphs, strong product graphs [38]; (iv) Convex polytope graphs: heptagonal circular ladder [39], two-fold heptagonal-nonagonal circular ladder [40], (v) Chemical graphs: VCC nanotube structure, silicate star networks, 2D lattice of α-Boron nanotubes, one-pentagonal carbon nanocone [41,42], etc. Further, the metric dimension have deep roots in many scientific domains, including telecommunication, network discovery and verification, robotics, establishing geographically routing protocols, image processing, pattern recognition, etc. [37,42–44]. Many applications in chemistry are derived from the vertex–edge relationship in graphs, and it is equivalent to the atom–bond relationship [44]. Similarly, the aforementioned applications also hold for the fault-tolerant metric dimension. Based on its importance in other scientific areas, it is quite natural to investigate the mathematical properties of this graph parameter.