### Abstract

With the growth of nanotechnology, many attempts have been made on the chemical and physical properties of nanostructures. Due to relation between physical properties and geometrical structure, understanding of the geometrical structure is very important. Moreover, this can be useful for finding unknown structures that have not been produced in laboratory yet. In the present work, first we have investigated the structure of some nanostructures from the geometrical point of view. Then an algorithm is proposed for discovering the number of carbon atoms in various nanotubes and fullerenes. In the presented algorithm, a nanosheet in 2D space is considered as a start point. Creating twelve nanocones in nanosheet makes it a nanostructure. Different nanostructures are produced by relocation of nanocones. The result shows that the number of carbon atoms in different nanostructures is a sequence that has infinite harmonies and follows a simple formula. Each harmony is an arithmetic progression.

Original language | English |
---|---|

Pages (from-to) | 351-361 |

Number of pages | 11 |

Journal | Croatica Chemica Acta |

Volume | 81 |

Issue number | 2 |

Publication status | Published - Jun 2008 |

### Fingerprint

### Keywords

- Algorithm for construction
- Nanosheet
- Nanostructures
- Relocation of nanocones

### ASJC Scopus subject areas

- Chemistry(all)

### Cite this

*Croatica Chemica Acta*,

*81*(2), 351-361.

**Prediction of the number of carbon atoms in various nanostructures by using geometrical approach.** / Sabaghian-Bidgoli, Hosein; Vakili-Nezhaad, Gholamreza; Vahidipour, Mehdi.

Research output: Contribution to journal › Article

*Croatica Chemica Acta*, vol. 81, no. 2, pp. 351-361.

}

TY - JOUR

T1 - Prediction of the number of carbon atoms in various nanostructures by using geometrical approach

AU - Sabaghian-Bidgoli, Hosein

AU - Vakili-Nezhaad, Gholamreza

AU - Vahidipour, Mehdi

PY - 2008/6

Y1 - 2008/6

N2 - With the growth of nanotechnology, many attempts have been made on the chemical and physical properties of nanostructures. Due to relation between physical properties and geometrical structure, understanding of the geometrical structure is very important. Moreover, this can be useful for finding unknown structures that have not been produced in laboratory yet. In the present work, first we have investigated the structure of some nanostructures from the geometrical point of view. Then an algorithm is proposed for discovering the number of carbon atoms in various nanotubes and fullerenes. In the presented algorithm, a nanosheet in 2D space is considered as a start point. Creating twelve nanocones in nanosheet makes it a nanostructure. Different nanostructures are produced by relocation of nanocones. The result shows that the number of carbon atoms in different nanostructures is a sequence that has infinite harmonies and follows a simple formula. Each harmony is an arithmetic progression.

AB - With the growth of nanotechnology, many attempts have been made on the chemical and physical properties of nanostructures. Due to relation between physical properties and geometrical structure, understanding of the geometrical structure is very important. Moreover, this can be useful for finding unknown structures that have not been produced in laboratory yet. In the present work, first we have investigated the structure of some nanostructures from the geometrical point of view. Then an algorithm is proposed for discovering the number of carbon atoms in various nanotubes and fullerenes. In the presented algorithm, a nanosheet in 2D space is considered as a start point. Creating twelve nanocones in nanosheet makes it a nanostructure. Different nanostructures are produced by relocation of nanocones. The result shows that the number of carbon atoms in different nanostructures is a sequence that has infinite harmonies and follows a simple formula. Each harmony is an arithmetic progression.

KW - Algorithm for construction

KW - Nanosheet

KW - Nanostructures

KW - Relocation of nanocones

UR - http://www.scopus.com/inward/record.url?scp=55249120281&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=55249120281&partnerID=8YFLogxK

M3 - Article

VL - 81

SP - 351

EP - 361

JO - Croatica Chemica Acta

JF - Croatica Chemica Acta

SN - 0011-1643

IS - 2

ER -