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Molecular Modelling Read chapter Read first chapter

2020 | OriginalPaper | Chapter

8. Three-Dimensional Polyhedra

Author : Ihsan Boustani

Published in: Molecular Modelling and Synthesis of Nanomaterials

Publisher: Springer International Publishing

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Abstract

The spherical cages of boron and carbon, known as fullerenes, were investigated theoretically and experimentally by many research groups around the world. Theoretically, different first-principles methods and molecular dynamics simulations were used to investigate the fullerene’s structures and related electronic properties. Experimentally, the scientists developed different methods to fabricate a large quantity of fullerenes, the new allotrope of carbon, and of boron clusters, nanotubes and sheets (borophene).

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Footnotes
1
P6 in Fig. 8.1 should be assigned as A1.
 
2
The number of hexagons n can be calculated after (n \(=\) a/2–10), where a is the number of boron atoms of the sphere.
 
3
More about Goldberg polyhedra is explained in Sect. 8.2.4.
 
4
The dodecahedron has 20 vertices, 30 edges and 12 pentagonal faces, while the icosahedron has 12 vertices, 30 edges and 20 trigonal faces.
 
5
A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces, a decahedron is a polyhedron with ten faces, and an icosahedron is a polyhedron with 20 faces.
 
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Metadata
Title
Three-Dimensional Polyhedra
Author
Ihsan Boustani
Copyright Year
2020
Book
Molecular Modelling and Synthesis of Nanomaterials

Print ISBN: 978-3-030-32725-5

Electronic ISBN: 978-3-030-32726-2

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-32726-2_8

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