What question did this study set out to answer?

To develop a kinetic model of polymer crystallization that accounts for segment length fluctuations during chain folding, expanding upon the Lauritzen-Hoffman theory.

September 19, 1961Proceedings of the Royal Society of London A Mathematical and Physical Sciences

On the theory of polymer crystallization

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Authors

FFFrederick Charles FrankLeipzig University MTM. TosiIstituto di Astrofisica Spaziale e Fisica Cosmica di Bologna

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Implication

Theoretical analysis reveals fluctuating segment lengths during polymer crystallization, indicating temperature-dependent convergence to stable fold widths.

Key Points

To develop a kinetic model of polymer crystallization that accounts for segment length fluctuations during chain folding, expanding upon the Lauritzen-Hoffman theory.
Applied nucleation theory and crystal growth kinetics to model the probability of chain folding, segment detachment, and growth steps.
Calculated statistical fluctuations in fold segment lengths across sequentially deposited crystal strips over varying ranges of supercooling.
Demonstrated that segment length fluctuations naturally self-correct toward a characteristic length, causing successive crystalline strips to converge to a stable, temperature-dependent fold width.
Identified that small supercoolings cause strip widths to narrow until crystal growth halts, whereas large supercoolings produce multiple nucleations within single chains that drive dendritic rather than tabular crystal growth.

Cite This Study

Frank et al. (1961) studied this question.

synapsesocial.com/papers/6a71096731a3df824329436d https://doi.org/10.1098/rspa.1961.0163

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Implication

Theoretical analysis reveals fluctuating segment lengths during polymer crystallization, indicating temperature-dependent convergence to stable fold widths.

On the theory of polymer crystallization

Discussion

Member takes

Implication

Key Points

Cite This Study

On the theory of polymer crystallization

Discussion

Member takes

Implication

Key Points

Cite This Study

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