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.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Calculations based on equations [54] demonstrate that the change of molecular mass corresponding to chain scission in deformed samples is negligibly small: for high strain e=2.1, Mn/Mno=0.998 and Mw/Mwo=0.993.
“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]
Cites
Molecular Size Distribution in Three Dimensional Polymers. I. Gelation 1
Flory, P. J. (1941) · Journal of the American Chemical Society · doi:10.1021/ja01856a061 · Cited by 1,924 · see citing works
Theory of Molecular Size Distribution and Gel Formation in Branched-Chain Polymers
STOCKMAYER, W. H. (1943) · The Journal of Chemical Physics · doi:10.1063/1.1723803 · Cited by 1,919 · see citing works
STOCKMAYER, W. H. (1944) · The Journal of Chemical Physics · doi:10.1063/1.1723922 · Cited by 975 · see citing works
Molecular Size Distribution in Three Dimensional Polymers. II. Trifunctional Branching Units
Flory, P. J. (1941) · Journal of the American Chemical Society · doi:10.1021/ja01856a062 · Cited by 546 · see citing works
Molecular Size Distribution in Three Dimensional Polymers. III. Tetrafunctional Branching Units
Flory, P. J. (1941) · Journal of the American Chemical Society · doi:10.1021/ja01856a063 · Cited by 450 · see citing works
Constitution of Three-dimensional Polymers and the Theory of Gelation.
Flory, P. J. (1942) · The Journal of Physical Chemistry · doi:10.1021/j150415a016 · Cited by 244 · see citing works
Molecular-weight changes in the degradation of long-chain polymers
Charlesby, A. (1954) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1954.0145 · Cited by 192 · see citing works
Solubility and molecular size distribution of crosslinked polystyrene
Charlesby, A. (1953) · Journal of Polymer Science · doi:10.1002/pol.1953.120110601 · Cited by 160 · see citing works
Gel formation and molecular weight distribution in long-chain polymers
Charlesby, A. (1954) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1954.0094 · Cited by 131 · see citing works
The cross-linking and degradation of paraffin chains by high-energy radiation
Charlesby, A. (1954) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1954.0052 · Cited by 110 · see citing works
Viscous Flow Along a Flat Plate Moving at High Supersonic Speeds
Kuo, Y.-H. (1956) · Journal of the aeronautical sciences. [REQUEST TITLE] · doi:10.2514/8.3520 · Cited by 38 · see citing works
Gel formation by main-chain fracture of long-chain polymers
Charlesby, A. (1955) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1955.0193 · Cited by 35 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
The kinetics of cluster fragmentation and depolymerisation
Ziff, R. M., & McGrady, E. D. (1985) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/18/15/026 · Cited by 397 · see citing works
Jabbari, E., & Nozari, S. (2000) · European Polymer Journal · doi:10.1016/s0014-3057(00)00044-6 · Cited by 243 · see citing works
New solutions to the fragmentation equation
Ziff, R. M. (1991) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/24/12/020 · Cited by 187 · see citing works
Gamma-irradiation applied in the synthesis of metallic and organic nanoparticles: A short review
Flores‐Rojas, G. G., López‐Saucedo, F., & Bucio, E. (2018) · Radiation Physics and Chemistry · doi:10.1016/j.radphyschem.2018.08.011 · Cited by 184 · see citing works
Cheng, Z., & Redner, S. (1990) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/23/7/028 · Cited by 184 · see citing works
Radiation effects in polyethylene and n-alkanes
Ungar, G. (1981) · Journal of Materials Science · doi:10.1007/bf00552946 · Cited by 144 · see citing works
Gel Formation in Polymers Resulting from Simultaneous Crosslinking and Scission
Inokuti, M. (1963) · The Journal of Chemical Physics · doi:10.1063/1.1733633 · Cited by 131 · see citing works
Current Topics in Ionizing Radiation Research
Nenoi, M. (2012) · InTech eBooks · doi:10.5772/2027 · Cited by 120 · see citing works
Natural Polysaccharide-Based Hydrogels and Nanomaterials
Dave, P. N., & Gor, A. H. (2018) · Elsevier eBooks · doi:10.1016/b978-0-12-813351-4.00003-1 · Cited by 109 · see citing works
Gloor, P. E., Tang, Y., Kostanska, A. E., & Hamielec, A. E. (1994) · Polymer · doi:10.1016/0032-3861(94)90946-6 · Cited by 108 · see citing works
Nait-Ali, L. K., Colin, X. A., & Bergeret, A. (2010) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2010.11.004 · Cited by 107 · see citing works
Thermal oxidation kinetics of additive free polyamide 6-6
Mazry, C. E., Hassine, M. B., Correc, O., & Colin, X. A. (2012) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2012.11.002 · Cited by 99 · see citing works
Effects of High Energy Radiation on Polymers II. End-linking and Gel Fraction
Saitô, O. (1958) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.13.1451 · Cited by 96 · see citing works
Free radical degradation of polypropylene: Random chain scission
Triacca, V. J., Gloor, P. E., Zhu, S., Hrymak, A. N., & Hamielec, A. E. (1993) · Polymer Engineering and Science · doi:10.1002/pen.760330802 · Cited by 92 · see citing works
François‐Heude, A., Richaud, E., Guinault, A., Desnoux, E., & Colin, X. A. (2014) · Journal of Applied Polymer Science · doi:10.1002/app.41441 · Cited by 85 · see citing works
Evolution to Similarity Solutions for Fragmentation and Aggregation
McCoy, B. J., & Madras, G. (1998) · Journal of Colloid and Interface Science · doi:10.1006/jcis.1998.5434 · Cited by 82 · see citing works
Hamielec, A. E., Gloor, P. E., & Zhu, S. (1991) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450690302 · Cited by 82 · see citing works
Kuroda, S., Terauchi, K., Nogami, K., & Mita, I. (1989) · European Polymer Journal · doi:10.1016/0014-3057(89)90200-0 · Cited by 77 · see citing works
Pliquet, M. L. , Rapeaux, M., Delange, F., Bussière, P., Thérias, S., & Gardette, J. (2021) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2021.109496 · Cited by 75 · see citing works
Molecular and macromolecular structure changes in polyamide 11 during thermal oxidation
Okamba-Diogo, O., Richaud, E., Jacques Verdu, C., Fernagut, F., Guilment, J., & Bruno Fayolle, C. (2014) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2014.05.028 · Cited by 71 · see citing works
Dušek, K. (1979) · Die Makromolekulare Chemie · doi:10.1002/macp.1979.020021979103 · Cited by 71 · see citing works
Theory of Gel—Dose Curves for Polymers Undergoing Simultaneous Crosslinking and Scission
Saitô, O., Kang, H., & Ḋole, M. (1967) · The Journal of Chemical Physics · doi:10.1063/1.1841265 · Cited by 65 · see citing works
Ghobashy, M. M., Alshangiti, D. M., Alkhursani, S. A., Al-Gahtany, S. A., Shokr, F. S., & Madani, M. (2020) · ACS Omega · doi:10.1021/acsomega.0c01910 · Cited by 62 · see citing works
David, C., & Baeyens‐Volant, D. (1978) · European Polymer Journal · doi:10.1016/0014-3057(78)90148-9 · Cited by 60 · see citing works
Ageing of polyvinylidene fluoride hollow fiber membranes in sodium hypochlorite solutions
Ravereau, J., Fabre, A., Brehant, A., Bonnard, R., Sollogoub, C., & Jacques Verdu, C. (2016) · Journal of Membrane Science · doi:10.1016/j.memsci.2015.12.063 · Cited by 56 · see citing works
Weight-Average and z-Average Degree of Polymerization for Polymers Undergoing Random Scission
Inokuti, M. (1963) · The Journal of Chemical Physics · doi:10.1063/1.1733820 · Cited by 54 · see citing works
Two and many particle correlations in nuclear and high energy physics
Bożek, P., Płoszajczak, M., & Botet, R. S. (1995) · Physics Reports · doi:10.1016/0370-1573(94)00075-e · Cited by 54 · see citing works
Saldívar‐Guerra, E. (2020) · Macromolecular Reaction Engineering · doi:10.1002/mren.202000010 · Cited by 53 · see citing works
Humid Ageing of Organic Matrix Composites
Colin, X., & Verdu, J. (2014) · Solid mechanics and its applications · doi:10.1007/978-94-007-7417-9_3 · Cited by 43 · see citing works
Mikdam, A., Colin, X. A., Minard, G., Billon, N., & Maurin, R. (2017) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2017.09.020 · Cited by 50 · see citing works
Monte carlo simulation of emulsion polymerization — linear, branched, and crosslinked polymers
Tobita, H. (1995) · Acta Polymerica · doi:10.1002/actp.1995.010460301 · Cited by 50 · see citing works
Dušek, K. (1979) · Polymer Bulletin · doi:10.1007/bf00254479 · Cited by 49 · see citing works
Decker, C. (1984) · Springer eBooks · doi:10.1007/978-94-009-5618-6_3 · Cited by 48 · see citing works
Li, Y., Volland, C., & Kissel, T. (1998) · Polymer · doi:10.1016/s0032-3861(97)10048-9 · Cited by 48 · see citing works
Polyethylene loss of ductility during oxidation: Effect of initial molar mass distribution
Reano, A. F., Guinault, A., Richaud, E., & Bruno Fayolle, C. (2018) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2018.01.021 · Cited by 46 · see citing works
Statistical Theories of Cross-Linking
Saitô, O. (1972) · Elsevier eBooks · doi:10.1016/b978-0-12-219801-4.50017-3 · Cited by 45 · see citing works
Random Degradation of Branched Polymers. 2. Multiple Branches
Tobita, H. (1996) · Macromolecules · doi:10.1021/ma9509725 · Cited by 43 · see citing works
Simulation model for the modification of polymers via crosslinking and degradation
Tobita, H. (1995) · Polymer · doi:10.1016/0032-3861(95)91205-l · Cited by 41 · see citing works
Woo, S. I., & Wee, J.-W. (2024) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2024.110726 · Cited by 40 · see citing works
Liu, H., & Wilén, C. (2001) · Journal of Polymer Science Part B Polymer Physics · doi:10.1002/polb.10031 · Cited by 40 · see citing works
Random Degradation of Branched Polymers. 1. Star Polymers
Tobita, H. (1996) · Macromolecules · doi:10.1021/ma950971c · Cited by 39 · see citing works
Fibre fragment distribution in a single-fibre composite tension test
Andersons, J. A., Joffe, R., Hojo, M., & Ochiai, S. (2001) · Composites Part B Engineering · doi:10.1016/s1359-8368(01)00003-8 · Cited by 39 · see citing works
Benzarti, K., & Colin, X. A. (2013) · Elsevier eBooks · doi:10.1533/9780857098641.3.361 · Cited by 38 · see citing works
Kinetics of mechanochemical degradation by gel permeation chromatography
Nguyen, T. Q. (1994) · Polymer Degradation and Stability · doi:10.1016/0141-3910(94)90114-7 · Cited by 38 · see citing works
Yılmaz, M., Pekdemir, M. E., & Öner, E. Ö. (2022) · Radiation Physics and Chemistry · doi:10.1016/j.radphyschem.2022.110509 · Cited by 37 · see citing works
Radiochemical ageing of poly(ether ether ketone)
Richaud, E., Ferreira, P., Audouin, L., Colin, X. A., Jacques Verdu, C., & Monchy‐Leroy, C. (2010) · European Polymer Journal · doi:10.1016/j.eurpolymj.2009.12.026 · Cited by 37 · see citing works
Moad, C. L., & Winzor, D. J. (1998) · Progress in Polymer Science · doi:10.1016/s0079-6700(97)00041-5 · Cited by 37 · see citing works
Molecular Weight Distribution of Irradiated Polymers
Kimura, T. (1962) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.17.1884 · Cited by 37 · see citing works
Effects of High Energy Radiation on Polymers III. Viscosity
Saitô, O. (1958) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.13.1465 · Cited by 36 · see citing works
Molecular weight distribution in random crosslinking of polymer chains
Tobita, H. (1995) · Journal of Polymer Science Part B Polymer Physics · doi:10.1002/polb.1995.090330805 · Cited by 36 · see citing works
Radiation crosslinking of elastomers. I. Polybutadienes
Pearson, D. S., Skutnik, B. J., & Böhm, G. G. A. (1974) · Journal of Polymer Science Polymer Physics Edition · doi:10.1002/pol.1974.180120507 · Cited by 36 · see citing works
Molecular mass changes in the thermal degradation of poly-α-methylstyrene
Guaita, M., & Chiantore, O. (1985) · Polymer Degradation and Stability · doi:10.1016/0141-3910(85)90108-9 · Cited by 35 · see citing works
Lamnii, H., Naït‐Abdelaziz, M., Ayoub, G. Y., Colin, X. A., & Maschke, U. (2020) · International Journal of Fatigue · doi:10.1016/j.ijfatigue.2020.105952 · Cited by 34 · see citing works
Polymerization Kinetic Modeling and Macromolecular Reaction Engineering
Zhu, S., & Hamielec, A. E. (2012) · Elsevier eBooks · doi:10.1016/b978-0-444-53349-4.00127-8 · Cited by 34 · see citing works
van der Hoff, B. M. E., & Gall, C. E. (1977) · Journal of Macromolecular Science Part A - Chemistry · doi:10.1080/00222337708063088 · Cited by 34 · see citing works
Ageing and Degradation of Multiphase Polymer Systems
Colin, X. A., Teyssèdre, G., & Fois, M. (2011) · doi:10.1002/9781119972020.ch21 · Cited by 34 · see citing works
Degradation of polypropylene in naturally and artificially weathered plastic matrix composites
Fabiyi, J. S., & McDonald, A. G. (2014) · Maderas Ciencia y tecnología · doi:10.4067/s0718-221x2014005000021 · Cited by 33 · see citing works
Analysis of Molecular Weight Changes and Gel Data of Some Irradiated Vinyl Polymers
Inokuti, M., & Dole, M. (1963) · The Journal of Chemical Physics · doi:10.1063/1.1733634 · Cited by 33 · see citing works
Kotliar, A. M., & Podgor, S. (1961) · Journal of Polymer Science · doi:10.1002/pol.1961.1205516201 · Cited by 33 · see citing works
Bat, E., Feijén, J., & Grijpma, D. W. (2010) · Biomacromolecules · doi:10.1021/bm1007234 · Cited by 32 · see citing works
Effect of Ionizing Radiation on a Series of Saturated Polyesters
D'ALELIO, G. F., Häberli, R., & Pezdirtz, G. F. (1968) · Journal of Macromolecular Science Part A - Chemistry · doi:10.1080/10601326808051427 · Cited by 31 · see citing works
Kotliar, A. M., & Anderson, A. D. (1960) · Journal of Polymer Science · doi:10.1002/pol.1960.1204514630 · Cited by 31 · see citing works
Mead, D. W. (1995) · Journal of Applied Polymer Science · doi:10.1002/app.1995.070570205 · Cited by 29 · see citing works
Hydrocracking process of n-alkanes by continuous kinetics
Browarzik, D., & Kehlen, H. (1994) · Chemical Engineering Science · doi:10.1016/0009-2509(94)80031-6 · Cited by 29 · see citing works
Constitutive modeling for biodegradable polymers for application in endovascular stents
Soares, D. S., & Filipe, J. D. P. D. C. (2008) · Cited by 28 · see citing works
Dorey, S., Gaston, F., Girard‐Perier, N., Dupuy, N., Marque, S. R. A., & Delaunay, L. (2019) · Industrial & Engineering Chemistry Research · doi:10.1021/acs.iecr.9b02145 · Cited by 28 · see citing works
Kotliar, A. M. (1975) · Journal of Polymer Science Polymer Chemistry Edition · doi:10.1002/pol.1975.170130416 · Cited by 28 · see citing works
Vasile, C., Pamfil, D., Zaharescu, T., Dumitriu, R. P., Pricope, G. M., Râpă, M., & Vasilievici, G. (2022) · Polymers · doi:10.3390/polym14071398 · Cited by 27 · see citing works
Tai, H. (1999) · Polymer Engineering and Science · doi:10.1002/pen.11551 · Cited by 27 · see citing works
Production of Polymer Gel with Least Radiation Dose
Saitô, O., & Takahashi, T. (1966) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.21.206 · Cited by 24 · see citing works
Bartczak, Z., Grala, M., Richaud, E., & Gadzinowska, K. (2016) · Polymer · doi:10.1016/j.polymer.2016.07.068 · Cited by 23 · see citing works
Tanigawa, M., Suzuto, M., Fukudome, K., & Yamaoka, K. (1996) · Macromolecules · doi:10.1021/ma9603701 · Cited by 23 · see citing works
Asteasuain, M., Sarmoria, C., & Brandolin, A. (2002) · Polymer · doi:10.1016/s0032-3861(02)00014-9 · Cited by 23 · see citing works
Kinetics of multidimensional fragmentation
Singh, P., & Hassan, M. K. (1996) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.53.3134 · Cited by 23 · see citing works
Tobita, H., Yamamoto, Y., & Ito, K. (1994) · Macromolecular Theory and Simulations · doi:10.1002/mats.1994.040030607 · Cited by 23 · see citing works
Thermodynamically induced shear degradation
Ballauff, M., & Wolf, B. A. (1988) · Advances in polymer science · doi:10.1007/bfb0024049 · Cited by 22 · see citing works
Nichol, J., O’Donnell, J. H., Rahman, N. P., & Winzor, D. J. (1977) · Journal of Polymer Science Polymer Chemistry Edition · doi:10.1002/pol.1977.170151208 · Cited by 22 · see citing works
Hamielec, A. E., & Tobita, H. (2000) · Ullmann's Encyclopedia of Industrial Chemistry · doi:10.1002/14356007.a21_305 · Cited by 21 · see citing works
Slimani, K., Moine, L., Aymes‐Chodur, C., Laurent, A., Labarre, D., & Yagoubi, N. (2009) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2009.01.011 · Cited by 20 · see citing works
The Radiation Chemistry of Elastomers
Böhm, G. G. A. (1973) · Elsevier eBooks · doi:10.1016/b978-0-12-219802-1.50019-8 · Cited by 20 · see citing works
CHEMO-MECHANICAL MODEL FOR PREDICTING THE LIFETIME OF EPDM RUBBERS
Colin, X. A., Hassine, M. B., & Naït‐Abdelaziz, M. (2019) · Rubber Chemistry and Technology · doi:10.5254/rct.19.81469 · Cited by 20 · see citing works
Evolution to similarity solutions for polymerization and depolymerization with microwave radiation
Madras, G., & Karmore, V. (2001) · Polymer International · doi:10.1002/pi.779 · Cited by 20 · see citing works
Crouzet, C., & Marchal, J. (1973) · Die Makromolekulare Chemie · doi:10.1002/macp.1973.021660109 · Cited by 20 · see citing works
Maléchaux, A., Colombani, J., Amat, S., Marque, S. R. A., & Dupuy, N. (2021) · Polymers · doi:10.3390/polym13091451 · Cited by 19 · see citing works
Criteria for random degradation of linear polymers
Scott, K. W. (1974) · Journal of Polymer Science Polymer Symposia · doi:10.1002/polc.5070460124 · Cited by 19 · see citing works
Statistical Theory of Fragmentation
Redner, S. (1990) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4615-6864-3_3 · Cited by 19 · see citing works
Wang, J., Wang, T., Luo, Z., & Zhou, Y. (2023) · Chemical Engineering Science · doi:10.1016/j.ces.2023.118711 · Cited by 18 · see citing works
GPC Data Interpretation in Mechanochemical Polymer Degradation
Nguyen, T. Q., & Kausch, H. (1998) · International Journal of Polymer Analysis and Characterization · doi:10.1080/10236669808009728 · Cited by 18 · see citing works
Parameters, affecting the sensitivity of poly(methyl methacrylate) as a positive lithographic resist
Gipstein, E., Ouano, A. C., Johnson, D. E., & Need, O. U. (1977) · Polymer Engineering and Science · doi:10.1002/pen.760170613 · Cited by 18 · see citing works
Effect of Impurity on Molecular Linking of Irradiated Polymer
Saitô, O. (1959) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.14.798 · Cited by 18 · see citing works
Radiolyse Oxydante du Polyoxyéthylèneglycol en Solution Chloroformique Diluée
Gugumus, F., & Marchal, J. (1967) · Journal of Polymer Science Part C Polymer Symposia · doi:10.1002/polc.5070160735 · Cited by 17 · see citing works
Mathematical Modeling of the Grafting of Maleic Anhydride onto Polypropylene
Giudici, R. (2007) · Macromolecular Symposia · doi:10.1002/masy.200751340 · Cited by 16 · see citing works
Bat, E., van Kooten, T. G., Feijén, J., & Grijpma, D. W. (2011) · Macromolecular Bioscience · doi:10.1002/mabi.201100031 · Cited by 16 · see citing works
Factors affecting the sensitivity of positive electron resists
Bowden, M. J. (1975) · Journal of Polymer Science Polymer Symposia · doi:10.1002/polc.5070490122 · Cited by 16 · see citing works
Molecular Size Distribution and Gelation of Irradiated Copolymers
Inokuti, M. (1960) · The Journal of Chemical Physics · doi:10.1063/1.1731470 · Cited by 16 · see citing works
Tobita, H., & Ohtani, Y. (1992) · Polymer · doi:10.1016/0032-3861(92)90340-3 · Cited by 15 · see citing works
On the Viscosity of Irradiated Polymers, II
Inokuti, M., & Katsuura, K. (1959) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.14.1379 · Cited by 15 · see citing works
Polymerization Processes, 1. Fundamentals
Tobita, H. (2015) · Ullmann's Encyclopedia of Industrial Chemistry · doi:10.1002/14356007.a21_305.pub3 · Cited by 15 · see citing works
Change and Convergence of Polymer Distribution During Nonrandom Degradation
Tobita, H. (2010) · Macromolecular Reaction Engineering · doi:10.1002/mren.200900062 · Cited by 14 · see citing works
γ‐radiolysis of ketone polymers. III. Copolymers of ethylene and carbon monoxide
Slivinskas, J. A., & Guillet, J. E. (1974) · Journal of Polymer Science Polymer Chemistry Edition · doi:10.1002/pol.1974.170120711 · Cited by 14 · see citing works
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
