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
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.
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“Calculations based on the above equations demonstrate that the change of molecular mass corresponding to chain scission in deformed samples is negligibly small: for the high strain e ¼ 2.1 the calculated ratio M n /M no ¼ 0.998 while M w /M wo ¼ 0.993.”
From Erosion of the molecular network in the amorphous layers of polyethylene upon high-strain deformation (2016) · cites this paper as [54]
Citations
Cites
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Cited by
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Theoretical considerations of scission and endlinking reactions in irradiated polymers
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Scuffing: Material Phenomena, Interfacial Effects, and Mitigating Practices
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Diffusion Processes in Polymers under Irradiation; Polyvinyl Alcohol and CCl 4 System
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Change of Molecular Size Distribution of Polymers Induced by Crosslinking. II. Poisson Distribution
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Polymeric Nanogels and Nanoparticles in Medical Applications
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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
- 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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