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Characteristics and Nomenclature of Copolymers01:24

Characteristics and Nomenclature of Copolymers

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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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Types of Step-Growth Polymers: Polyesters01:20

Types of Step-Growth Polymers: Polyesters

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The introduction of polyesters has brought major development to the textile industry. The wrinkle-free behavior of polyester blends has eliminated the need for starching and ironing clothes.
Polyesters are commonly prepared from terephthalic acid and ethylene glycol; the crude product is known as poly(ethylene terephthalate) or PET. However, polyesters are synthesized industrially by transesterification of dimethyl terephthalate with ethylene glycol at 150 °C. The two reactants and the polymer...
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Polymer Classification: Architecture01:14

Polymer Classification: Architecture

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Polymers are classified as linear or branched on the basis of their chain architecture. The polymer chains in linear polymers have a long chain-like structure with minimal to no branching at all. Even if a polymer features large substituent groups on the monomer, which appear as branches to the skeleton, it is not considered a branched polymer. A branched polymer contains secondary polymer chains that arise from the main polymer chain. The branching occurs when the polymer growth shifts from...
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Characteristics and Nomenclature of Homopolymers01:00

Characteristics and Nomenclature of Homopolymers

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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.
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Polymer Classification: Crystallinity01:21

Polymer Classification: Crystallinity

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Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...
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Polymers02:34

Polymers

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The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the...
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Updated: Dec 25, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

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Topological two-dimensional polymers.

Maximilian A Springer1, Tsai-Jung Liu2, Agnieszka Kuc3

  • 1Helmholtz-Zentrum Dresden-Rossendorf, Institute of Resource Ecology, Permoserstrasse 15, 04318 Leipzig, Germany. thomas.heine@tu-dresden.de and Faculty for Chemistry and Food Chemistry, TU Dresden, Bergstrasse 66c, 01069 Dresden, Germany.

Chemical Society Reviews
|March 25, 2020
PubMed
Summary
This summary is machine-generated.

This tutorial explores calculating electronic properties of 2D networks using tight-binding methods. It details how to identify topological signatures like Dirac cones and topological insulators in these materials.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Chemistry

Background:

  • Over 200 distinct two-dimensional (2D) network topologies exist.
  • The electronic structure of 2D networks is dictated by their structural topology.
  • Topological electronic properties, including Dirac cones, topological flat bands, and topological insulators, arise from specific network structures.

Purpose of the Study:

  • To provide a tutorial on calculating electronic properties of 2D networks.
  • To demonstrate how 2nd-neighbor interactions and spin-orbit coupling influence these properties.
  • To guide the identification of topological signatures in 2D materials.

Main Methods:

  • Tight-binding approach for electronic property calculations.
  • Inclusion of 2nd-neighbor interactions and spin-orbit coupling.
  • Calculation of topological invariants: Chern numbers and Z2 invariants.
  • Nanoribbon approach for topological characterization.

Main Results:

  • Electronic properties of 2D networks can be systematically calculated.
  • The inclusion of advanced parameters modifies electronic band structures.
  • Topological signatures can be quantitatively identified using established methods.
  • Feasible strategies for realizing topological properties in molecular frameworks and 2D polymers are proposed.

Conclusions:

  • The tight-binding method, augmented with advanced parameters, is effective for predicting topological electronic properties in 2D networks.
  • Molecular frameworks and 2D polymers offer promising platforms for experimentally realizing novel topological states of matter.
  • This work provides a framework for designing and discovering new topological materials.