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Cited by 235Polymer Nanocomposite Synthesis and IrradiationAdvanced Physical and Chemical Molecular InteractionsTheoretical and Computational Physics

The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.

On the Effect of High Energy Radiation to Polymers I. Cross-linking and Degradation

Saito, Osamu·1958·Journal of the Physical Society of Japan
DOI 10.1143/jpsj.13.198
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Abstract

Integro-differential equations are obtained, which describe the variation of molecular weight distributions in a polymer substance caused by irradiation. The solutions of these equations give the gel point and the average molecular weights. In the case of cross-linking without cyclization, the results agree with those obtained by other authors. The problems involving cyclization and branching are also solved, showing that the gel formation is retarded by cyclization and that the weight average branching number diverges at the gel point, while the number average branching number does not. As for degradation, the molecular weight distributions for an arbitrary radiation dose are obtained, and it is shown that for any initial distribution the final molecular weight distribution becomes Poisson-like. The problem which deals with the case where cross-linking and degradation coexist is also discussed, and it is shown that for any initial distribution the gel formation occurs only when the ratio of the two probabilities concerning degradation and cross-linking is smaller than 4.

Overview

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Crossref · 10.1143/jpsj.13.198

Cites

12 of 12 references verified0 citation errors · 0 not checkable

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Citations

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Research works printed but not linked: 4

  1. Charlesby A., 1954, Proc. Roy. Soc., 222, 60
  2. Charlesby A., 1954, Proc. Roy. Soc., 222, 542
  3. Charlesby A., 1954, Proc. Roy. Soc., 224, 120
  4. Charlesby A., 1955, Proc. Roy. Soc., 231, 521

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Metadata

Authors
Saito, O.
Affiliations
Faculty of Engineering, Chuo University
Venue
Journal of the Physical Society of Japan
Publisher
Physical Society of Japan
Published
1958-02
Volume
13
Issue
2
Pages
198-206
ISSN
  • 0031-9015 (ISSN-L)
  • 1347-4073
DOI
10.1143/jpsj.13.198
OpenAlex
W2012348634
Cited by
235
References
12
Citations by year
2026: 5 · 2025: 5 · 2024: 4 · 2023: 3 · 2022: 3 · 2021: 5 · 2020: 6 · 2019: 5 · 2018: 3 · 2017: 4 · 2016: 4 · 2015: 2 · 2014: 6 · 2013: 5 · 2012: 6
FWCI
13.21
Type
journal article
Language
en
Open access
closed
Locations
Journal of the Physical Society of Japan (publishedVersion)
Topics
  • Physical Sciences › Materials Science › Polymers and Plastics › Polymer Nanocomposite Synthesis and Irradiation
  • Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
Keywords
high-energy radiation, polymer irradiation, crosslinking, polymer degradation, gel point, molecular weight distribution, integro-differential equations, cyclization, branching, gelation, Poisson distribution

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