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Related Concept Videos

Aromatic Hydrocarbon Cations: Structural Overview01:18

Aromatic Hydrocarbon Cations: Structural Overview

Cycloheptatriene is a neutral monocyclic unsaturated hydrocarbon that consists of an odd number of carbon atoms and an intervening sp3 carbon in the ring. The three double bonds in the ring correspond to 6 π electrons, which is a Huckel number, and therefore satisfies the criteria of 4n + 2 π electrons. However, the intervening sp3 carbon disrupts the continuous overlap of p orbitals. As a result, cycloheptatriene is not aromatic.
Removing one hydrogen from the intervening CH2 group with both...
Thermal and Photochemical Electrocyclic Reactions: Overview01:26

Thermal and Photochemical Electrocyclic Reactions: Overview

Electrocyclic reactions are reversible reactions. They involve an intramolecular cyclization or ring-opening of a conjugated polyene. Shown below are two examples of electrocyclic reactions. In the first reaction, the formation of the cyclic product is favored. In contrast, in the second reaction, ring-opening is favored due to the high ring strain associated with cyclobutene formation.
Frost Circles for Different Conjugated Systems01:18

Frost Circles for Different Conjugated Systems

The inscribed polygon method is consistent with Hückel’s 4n + 2 rule and helps to learn whether the given cyclic compound is aromatic or not. The compound is stable and aromatic if every bonding molecular orbital (MO) is completely filled with a pair of electrons. However, if the non-bonding or antibonding orbitals are filled with electrons, the compound is unstable and not aromatic. Consider the Frost circle diagrams for cycloalkenes containing 4 to 8 carbons.
Characteristics and Nomenclature of Homopolymers01:00

Characteristics and Nomenclature of Homopolymers

Polymers that are made up of identical monomer units are called homopolymers. Only one repeating unit is involved in the construction of the homopolymer structure. For example, as depicted in Figure 1, polypropylene is a homopolymer constituted of propylene monomers. Here, the only repeating unit in the polymer chain is propylene.
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
Characteristics and Nomenclature of Copolymers01:24

Characteristics and Nomenclature of Copolymers

Copolymers are the products obtained from the polymerization of multiple monomer species. So, in a polymer chain itself, there can be multiple repeating units that come from different monomers. The process of synthesizing a polymer from different monomer species is called copolymerization. When two monomers are involved, the polymer is known as a bipolymer. Polymers with three and four monomers are termed terpolymers and quaterpolymers, respectively. Figure 1 depicts the copolymerization of...

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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Published on: September 26, 2016

Counting the cyclocized polyphenacenes.

Jianguo Qian1, Fuji Zhang

  • 1School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, People's Republic of China. jgqian@xmu.edu.cn

Journal of Computational Chemistry
|August 27, 2010
PubMed
Summary
This summary is machine-generated.

Cyclocized polyphenacenes, large molecules with nonplanar structures, exhibit chirality. This study provides counting formulas for belt-type and Möbius-type polyphenacenes, revealing their geometric and chiral properties.

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Area of Science:

  • Organic Chemistry
  • Computational Chemistry
  • Materials Science

Background:

  • Cyclocized polyphenacenes are a class of organic molecules known for their nonplanar structures.
  • Understanding the structural diversity and properties of these molecules is crucial for developing new materials.

Purpose of the Study:

  • To derive explicit counting formulas for belt-type and Möbius-type cyclocized polyphenacenes.
  • To analyze the chirality of these molecular structures based on their geometric configurations.

Main Methods:

  • Development of combinatorial counting formulas for two distinct types of cyclocized polyphenacenes.
  • Numerical evaluation of these formulas for systems with varying numbers of phenyl rings (3 to 18).

Main Results:

  • An explicit expression for the counting formula for both belt-type and Möbius-type cyclocized polyphenacenes has been established.
  • The results indicate that larger belt-type cyclocized polyphenacenes are predominantly chiral.
  • Numerical data for systems ranging from 3 to 18 phenyl rings are provided.

Conclusions:

  • The study provides a mathematical framework for quantifying the number of cyclocized polyphenacenes.
  • The findings highlight the prevalence of chirality in larger belt-type structures, offering insights into their potential applications in stereoselective chemistry and materials science.