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Polymers: Molecular Weight Distribution

Polymers: Molecular Weight Distribution

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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Related Experiment Video

Updated: Jun 21, 2025

Encapsulation and Permeability Characteristics of Plasma Polymerized Hollow Particles

Encapsulation and Permeability Characteristics of Plasma Polymerized Hollow Particles

Published on: August 16, 2012

Exceptionally dense and resilient critically jammed polydisperse disk packings.

Sangwoo Kim¹, Sascha Hilgenfeldt²

¹Institute of Mechanical Engineering, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland. sangwoo.kim@epfl.ch.

|July 8, 2024

Summary

Disordered particle packings

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Area of Science:

Soft matter physics
Materials science
Statistical mechanics

Background:

Understanding jamming transitions in disordered particle systems is crucial for both fundamental science and practical applications.
The critical packing fraction at jamming is known to be dependent on the preparation protocol.

Purpose of the Study:

To systematically trace the variability in critical packing fraction to structural and energy measures.
To develop efficient methods for constructing disordered materials with exceptional properties.

Main Methods:

A novel generalized simultaneous particle swap algorithm was employed to construct overjammed states.
States with desired energy were generated and then decompressed to determine critical packing fractions.

Main Results:

Variability in critical packing fraction was successfully linked to structural and energy characteristics of the packing.
The developed algorithm efficiently identifies states with exceptionally high critical packing fractions.
These high-critical-packing-fraction states exhibit remarkable shear strain tolerance and structural stability.

Conclusions:

A strong correlation exists between the energy landscape of overjammed soft-particle packings and jamming transition behavior.
This finding offers new insights for designing and creating advanced disordered materials with tailored properties.