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相关概念视频

Molecular Weight of Step-Growth Polymers01:08

Molecular Weight of Step-Growth Polymers

2.7K
Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...
2.7K
Characteristics and Nomenclature of Copolymers01:24

Characteristics and Nomenclature of Copolymers

3.2K
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...
3.2K
Step-Growth Polymerization: Overview01:03

Step-Growth Polymerization: Overview

4.3K
Step-growth or condensation polymerization is a stepwise reaction of bi or multifunctional monomers to form long-chain polymers. As all the monomers are reactive, most of the monomers are consumed at the early stages of the reaction to form small chains of reactive oligomers, which then combine to form long polymer chains in the late stages. Hence, the reaction has to proceed for a long time to achieve high molecular weight polymers.
Many natural and synthetic polymers are produced by...
4.3K
Ziegler–Natta Chain-Growth Polymerization: Overview01:17

Ziegler–Natta Chain-Growth Polymerization: Overview

3.9K
Ziegler–Natta polymerization is another form of addition or chain‐growth polymerization used for synthesizing linear polymers over branched polymers. The catalyst used for polymerization is the Ziegler–Natta catalyst, named after Karl Ziegler and Giulio Natta, who developed it in 1953. This catalyst is an organometallic complex of titanium tetrachloride and triethyl aluminum, with the active form of the catalyst being an alkyl titanium compound. Using the Ziegler–Natta...
3.9K
Polymers: Molecular Weight Distribution01:10

Polymers: Molecular Weight Distribution

4.6K
For any given polymer, the weight average molecular weight (Mw) is higher than, if not equal to, the number average molecular weight (Mn). The only situation in which the weight average molecular weight and the number average molecular weight are equal is when a polymer consists only of chains with equal molecular weight. However, this never happens in a synthetic polymer, since it is difficult to control the polymerization process up to a molecular level with accuracy to a hundred percent.
4.6K
Radical Chain-Growth Polymerization: Overview01:10

Radical Chain-Growth Polymerization: Overview

3.1K
Chain-growth or addition polymerization is successive addition reactions of monomers with a polymer chain. In radical chain-growth polymerization, the reaction proceeds via a free-radical intermediate. The free radical is formed from radical initiators, which spontaneously generate free radicals by homolytic fission. Organic peroxides (such as dibenzoyl peroxide, as shown in Figure 1) or azo compounds are popular radical initiators. A low concentration ratio of radical initiator to monomer is...
3.1K

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相关实验视频

Updated: Jan 14, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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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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对于一类随机共聚合过程的数学分析.

David F Anderson1, Jingyi Ma2, Praful Gagrani3

  • 1Department of Mathematics, University of Wisconsin-Madison, Madison, USA.

Bulletin of mathematical biology
|January 13, 2026
PubMed
概括

这项研究严格分析了一个随机共聚合模型,建立了聚合物增长和单体分子部分的标准. 数学方法被开发用于过渡状态,并将其推广到多个单体类型.

关键词:
连续时间的马尔科夫链.边界过程的边界过程.合作聚合的共聚合.生命的起源 生命的起源聚合物增长的增长聚合物.复发性和短暂性的复发.随机模型建模 随机建模树状状态空间是一个树状状态空间.

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Ethylene Polymerizations Using Parallel Pressure Reactors and a Kinetic Analysis of Chain Transfer Polymerization
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Ethylene Polymerizations Using Parallel Pressure Reactors and a Kinetic Analysis of Chain Transfer Polymerization

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Synthesis of Monodisperse Cylindrical Nanoparticles via Crystallization-driven Self-assembly of Biodegradable Block Copolymers
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Synthesis of Monodisperse Cylindrical Nanoparticles via Crystallization-driven Self-assembly of Biodegradable Block Copolymers

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相关实验视频

Last Updated: Jan 14, 2026

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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Ethylene Polymerizations Using Parallel Pressure Reactors and a Kinetic Analysis of Chain Transfer Polymerization
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Ethylene Polymerizations Using Parallel Pressure Reactors and a Kinetic Analysis of Chain Transfer Polymerization

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Synthesis of Monodisperse Cylindrical Nanoparticles via Crystallization-driven Self-assembly of Biodegradable Block Copolymers
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Synthesis of Monodisperse Cylindrical Nanoparticles via Crystallization-driven Self-assembly of Biodegradable Block Copolymers

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科学领域:

  • 聚合物科学 聚合物科学
  • 统计物理 统计物理
  • 随机过程 随机过程

背景情况:

  • 在聚合物科学中,共聚合过程是基本的.
  • 物理学文献中以前的分析依赖于启发式方法.
  • 准确的预测需要严格的数学框架.

研究的目的:

  • 在共聚合中建立过渡性,零复发性和正复发性的标准.
  • 为了在过渡状态下确定限制性单体分子分数.
  • 在随机共聚合过程中分析聚合物增长的速度.

主要方法:

  • 发展严格的数学论证.
  • 对一个随机共聚合模型的分析.
  • 将技术推广到有限的许多单体类型.

主要成果:

  • 以系统参数为基础,对基于系统参数的重复性质推导出标准.
  • 在过渡状态下,单体类型的定量限制分数.
  • 在过渡状态下确定了聚合物生长的速度.

结论:

  • 数学的严谨性证实并扩展了共聚合的启发式发现.
  • 开发的方法适用于通用的共聚合模型.
  • 这项研究为分析更复杂的随机过程提供了基础.