Related Experiment Video
Updated: Dec 25, 2025
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
8.3K
Randomly branching θ-polymers in two and three dimensions: Average properties and distribution functions.
Irene Adroher-Benítez1, Angelo Rosa1
1SISSA - Scuola Internazionale Superiore di Studi Avanzati, Via Bonomea 265, 34136 Trieste, Italy.
The Journal of Chemical Physics
|March 23, 2020
Summary
This study characterizes branched polymers using Monte Carlo simulations, revealing their spatial properties and connectivity under theta-solvent conditions. Results align with theoretical models, offering insights into polymer physics.
Area of Science:
- Polymer Physics
- Computational Chemistry
- Statistical Mechanics
Background:
- Renewed interest in branched polymer physics.
- Need for detailed characterization of their connectivity and spatial properties.
Purpose of the Study:
- Characterize 2D and 3D single-chain conformations of randomly branching polymers under theta-solvent conditions.
- Analyze average polymer properties and complete distribution functions.
- Compare results with theoretical models and different solvent conditions.
Main Methods:
- Monte Carlo computer simulations.
- Analysis of average polymer size and path length.
- Investigation of distribution functions for paths and distances.
Main Results:
- Detailed characterization of spatial properties and connectivity.
- Distribution functions obey the Redner-des Cloizeaux functional form.
- Comparison with Flory theory and generalized Fisher-Pincus relationships.
Conclusions:
- Results provide a comprehensive understanding of branched polymer behavior under theta-solvent conditions.
- Findings complement existing research on scaling properties of branching polymers.
- The study validates theoretical models for branched polymer systems.
Related Concept Videos
01:14Polymer Classification: Architecture
3.6K
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...
3.6K
01:10Polymers: Molecular Weight Distribution
4.5K
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.
4.5K
01:08Molecular 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...
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
01:17Radical Chain-Growth Polymerization: Chain Branching
2.3K
The skeletal structure of polymers synthesized via radical polymerization is always branched. For example, the polymerization of ethylene by radical polymerization results in a low-density grade of polyethylene with a heavily branched skeletal structure. Here, the radical site abstracts hydrogen from the growing chain, and the radical site shifts from the end (a primary carbon center) to anywhere within the growing chain (a secondary carbon center). Consequently, the part of the chain from the...
2.3K
01:21Polymer Classification: Crystallinity
3.7K
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...
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...
3.7K
01:26Polymer Classification: Stereospecificity
3.1K
Polymerization generates chiral centers along the entire backbone of a polymer chain. Accordingly, the stereochemistry of the substituent group has a significant effect on polymer properties. Polymers formed from monosubstituted alkene monomers feature chiral carbons at every alternate position in the polymer backbone. Relative to the predominant orientation of substituents at the adjacent chiral carbons, the polymer can exist in three different configurations: isotactic, syndiotactic, and...
3.1K