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Related Concept Videos

Step-Growth Polymerization: Overview01:03

Step-Growth Polymerization: Overview

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...
Molecular Weight of Step-Growth Polymers01:08

Molecular Weight of Step-Growth Polymers

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...
Polymers02:34

Polymers

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 properties that they exhibit. Additionally,...
Arrhenius Plots02:34

Arrhenius Plots

The Arrhenius equation relates the activation energy and the rate constant, k, for chemical reactions. In the Arrhenius equation, k = Ae−Ea/RT, R is the ideal gas constant, which has a value of 8.314 J/mol·K, T is the temperature on the kelvin scale, Ea is the activation energy in J/mole, e is the constant 2.7183, and A is a constant called the frequency factor, which is related to the frequency of collisions and the orientation of the reacting molecules.
The Arrhenius equation can be used to...
Reaction Mechanisms: The Steady-State Approximation01:26

Reaction Mechanisms: The Steady-State Approximation

The steady-state approximation, also referred to as the quasi-steady-state approximation to differentiate it from a true steady state, is a widely used method for simplifying calculations in complex reaction mechanisms. This approach is particularly useful when dealing with multi-step reactions that involve reverse reactions or several steps, which can significantly increase mathematical complexity and make the reactions nearly unsolvable analytically.The steady-state approximation operates on...
Temperature Dependence on Reaction Rate02:55

Temperature Dependence on Reaction Rate

The Collision Theory
Atoms, molecules, or ions must collide before they can react with each other. Atoms must be close together to form chemical bonds. This premise is the basis for a theory that explains many observations regarding chemical kinetics, including factors affecting reaction rates.
The collision theory is based on the postulates that (i) the reaction rate is proportional to the rate of reactant collisions, (ii) the reacting species collide in an orientation allowing contact between...

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Modeling the slow Arrhenius process (SAP) in polymers.

Valeriy V Ginzburg1, Oleg V Gendelman2, Simone Napolitano3

  • 1Department of Chemical Engineering and Materials Science, Michigan State University, East Lansing, Michigan, 48824, USA. ginzbur7@msu.edu.

Soft Matter
|May 22, 2026
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Summary
This summary is machine-generated.

A new theory unifies polymer relaxation processes, explaining the slow Arrhenius process (SAP) as a coarse-grained cluster dynamics. This framework accurately models both α-relaxation and SAP across polymers.

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Area of Science:

  • Materials Science
  • Polymer Physics
  • Statistical Mechanics

Background:

  • Amorphous polymers display complex relaxation dynamics, including structural α-relaxation and faster secondary relaxations.
  • A recently identified slow Arrhenius process (SAP) below the α-relaxation has an unclear microscopic origin despite its Arrhenius temperature dependence.

Purpose of the Study:

  • To extend the two-state, two-timescale (TS2) theory to encompass both α-relaxation and the slow Arrhenius process (SAP).
  • To propose a unified theoretical framework for understanding polymer relaxation dynamics.

Main Methods:

  • Extension of the two-state, two-timescale (TS2) theory.
  • Modeling dynamically correlated clusters in a coarse-grained fluid.
  • Quantitative reproduction of α and SAP data across multiple polymers.

Main Results:

  • The extended TS2 theory successfully describes both α-relaxation and SAP within a unified framework.
  • The SAP is interpreted as the high-temperature limit of an αβ-like process in dynamically correlated clusters.
  • The model quantitatively reproduces experimental data without additional parameters and explains Meyer-Neldel compensation behavior.

Conclusions:

  • The proposed theory offers a physically transparent interpretation of cluster-scale relaxation in glass-forming polymers.
  • The theory predicts a transition of SAP from Arrhenius to Vogel-Fulcher-Tammann-Hesse-like dynamics at low temperatures.