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相关概念视频

Polymers: Molecular Weight Distribution01:10

Polymers: Molecular Weight Distribution

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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.
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Molecular Weight of Step-Growth Polymers01:08

Molecular Weight of Step-Growth Polymers

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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...
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Polymers: Defining Molecular Weight01:01

Polymers: Defining Molecular Weight

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Unlike small molecules with definite molecular weights, polymers are a mixture of individual polymer chains of varying lengths, each with a unique molecular weight.  So, the molecular weight of a polymer is expressed as an average value based on the average size of the polymer chains. The two most common forms of averages used for polymers are the number average molecular weight and weight average molecular weight.
The number average molecular weight (Mn) is the summation of the number...
3.7K
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...
3.7K
Ziegler–Natta Chain-Growth Polymerization: Overview01:17

Ziegler–Natta Chain-Growth Polymerization: Overview

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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...
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Applications of Logarithms01:28

Applications of Logarithms

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Logarithmic functions are powerful tools for simplifying the mathematical representation of phenomena involving exponential changes. Their ability to convert multiplicative relationships into additive ones is especially valuable in various scientific and engineering contexts. One notable application of logarithms is measuring sound intensity, specifically through the decibel (dB) scale used in acoustics.Sound intensity levels vary over an extensive range, from the faintest audible whisper to...
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Author Spotlight: Evaluation of Protein-Condensate Dynamics in Live Human Cells
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使用对数回归模型探索聚合物图中的度.

Muhammad Irfan1, Jihad Younis2, Alaa Altassan3

  • 1Department of Mathematics, University of Okara, Okara, Pakistan.

Scientific reports
|October 3, 2025
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概括
此摘要是机器生成的。

图的值量化了化学结构的信息. 本研究计算了聚和聚碳酸的拓指数和度,揭示了结构和信息内容之间的关系.

关键词:
图形的输入点是图的输入点.聚和聚碳酸的聚和聚碳酸.这是一个回归模型.顶点的度数 顶点的度数

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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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科学领域:

  • 化学图形理论 化学图形理论
  • 聚合物科学 聚合物科学
  • 信息理论 信息理论

背景情况:

  • 聚合物如聚和聚碳酸盐是关键材料.
  • 了解它们的结构信息是材料科学的关键.
  • 拓指数和图形输入量提供了定量指标.

研究的目的:

  • 计算聚和聚碳酸结构的各种拓指数.
  • 为了计算这些聚合物的图形,使用Shannon的.
  • 分析拓指数和度之间的相关性.

主要方法:

  • 基于指数计算的顶点度的边缘分区.
  • 萨格勒布指数,重新定义的萨格勒布指数,原子键连接指数和几何-算术指数的计算.
  • 在图形值计算中应用香农值概念.
  • 回归建模以建立关系.回归建模以建立关系.

主要成果:

  • 对所研究的聚合物进行选定的拓指数和图形的数值计算.
  • 比较突出结构描述符和信息内容之间的相互作用.
  • 通过回归分析识别显著关系.

结论:

  • 图形率为聚合物结构复杂性提供了宝贵的见解.
  • 拓指数和度的测量是相关的.
  • 该研究在聚合物中建立了化学结构和信息理论指标之间的定量联系.