Kinetics of crystal nucleation in molten isotactic polypropylene
Abstract
The crystallization of polypropylene droplets was investigated with the optical microscope. It is found that the droplets will undercool approximately 100 deg (Tm0=178°C). The undercooling attained for most of the droplets is increased by 1.43 deg when the cooling rate is increased by a factor of 10. An isothermal experiment indicates that the droplets crystallize sporadically in time, and nucleation frequency of 1.5 (107) cm−3 sec−1 is found at 79.9°C. Conventional analysis of this data yields a value of Kv, the pre-exponential factor of the nucleation frequency, of the order of 1050, which is much higher than expected from the paraffin data. Analysis which treats the free energy of formation of the nucleus as a discontinuous function of the nucleus size yields the more reasonable value of Kv of the order of 1030, and a value of the surface energy perpendicular to the chain axes, δe, between 60 and 95 erg/cm2.
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Analogous fractionated crystallization observations were later gathered by droplet experiments with i-PP, PEO, PA6 and i-PS.
“Analogous observations were later gathered by droplets experiments with different polymers, i.e., i-PP [3] , PEO, PA6 and i-PS [4] .”
From Fractionated crystallization in semicrystalline polymers (2021) · cites this paper as [3]
Cites
Rate of Spherulitic Crystallization with Chain Folds in Polychlorotrifluoroethylene
Hoffman, J., & Weeks, J. J. (1962) · The Journal of Chemical Physics · doi:10.1063/1.1733363 · Cited by 459 · see citing works
Kinetics of Crystal Nucleation in Polyethylene
Cormia, R. L., Price, F. P., & Turnbull, D. (1962) · The Journal of Chemical Physics · doi:10.1063/1.1733282 · Cited by 335 · see citing works
Self-citationKinetics of Crystal Nucleation in Some Normal Alkane Liquids
Turnbull, D., & Cormia, R. L. (1961) · The Journal of Chemical Physics · doi:10.1063/1.1731681 · Cited by 244 · see citing works
Self-citationCrystallization kinetics and polymorphic transformations in polybutene-1
Powers, J., Hoffman, J., Weeks, J. J., et al. (1965) · Journal of Research of the National Bureau of Standards Section A Physics and Chemistry · doi:10.6028/jres.069a.034 · Cited by 150 · see citing works
Specific Heat of Atactic and Isotactic Polypropylene and the Entropy of the Glass
Passaglia, E., & Kevorkian, H. K. (1963) · Journal of Applied Physics · doi:10.1063/1.1729095 · Cited by 123 · see citing works
Thermodynamic properties of polyethylene predicted from paraffin data
Broadhurst, M. G. (1963) · Journal of Research of the National Bureau of Standards Section A Physics and Chemistry · doi:10.6028/jres.067a.023 · Cited by 62 · see citing works
Burns, J. R. (1966) · Journal of Applied Physics · doi:10.1063/1.1782139 · Cited by 8 · see citing works
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Confined crystallization of polymeric materials
Michell, R. M., & Müller, A. J. (2016) · Progress in Polymer Science · doi:10.1016/j.progpolymsci.2015.10.007 · Cited by 351 · see citing works
Nucleation and Crystallization in Diblock and Triblock Copolymers
Müller, A. J., Balsamo, V., & Arnal, M. L. (2005) · Advances in Polymer Science · doi:10.1007/12_001 · Cited by 294 · see citing works
Self-Nucleation Effects on Polymer Crystallization
Sangroniz, L., Cavallo, D., & Müller, A. J. (2020) · Macromolecules · doi:10.1021/acs.macromol.0c00223 · Cited by 283 · see citing works
Homogeneous nucleation and fractionated crystallization in block copolymers
Müller, A. J., Balsamo, V., Arnal, M. L., Jakob, T., Schmalz, H., & Abetz, V. (2002) · Macromolecules · doi:10.1021/ma012026w · Cited by 226 · see citing works
Confinement effects on polymer crystallization: From droplets to alumina nanopores
Michell, R. M., Blaszczyk-Lezak, I., Mijangos, C., & Müller, A. J. (2013) · Polymer · doi:10.1016/j.polymer.2013.05.029 · Cited by 184 · see citing works
Homogeneous nucleation of the dispersed crystallisable component of immiscible polymer blends
Santana, O. O., & M�ller, A. J. (1994) · Polymer Bulletin · doi:10.1007/bf00587890 · Cited by 117 · see citing works
Fractionated crystallization in semicrystalline polymers
Sangroniz, L., Wang, B., Su, Y., Liu, G., Cavallo, D., Wang, D., & Müller, A. J. (2021) · Progress in Polymer Science · doi:10.1016/j.progpolymsci.2021.101376 · Cited by 102 · see citing works
Cocca, M., Androsch, R., Righetti, M. C., Malinconico, M., & Di Lorenzo, M. L. (2014) · Journal of Molecular Structure · doi:10.1016/j.molstruc.2014.02.038 · Cited by 92 · see citing works
Ghijsels, A., Groesbeek, N., & Yip, C. W. (1982) · Polymer · doi:10.1016/0032-3861(82)90217-8 · Cited by 90 · see citing works
Wang, B., Utzeri, R., Castellano, M., Stagnaro, P., Müller, A. J., & Cavallo, D. (2020) · Macromolecules · doi:10.1021/acs.macromol.0c01167 · Cited by 82 · see citing works
Tol, R. T., Mathot, V. B. F., & Groeninckx, G. (2005) · Polymer · doi:10.1016/j.polymer.2004.10.070 · Cited by 80 · see citing works
Some novel crystallization kinetic peculiarities in finely dispersing polymer blends
Frensch, H., & Jungnickel, B. J. (1989) · Colloid & Polymer Science · doi:10.1007/bf01410144 · Cited by 78 · see citing works
Tol, R. T., Mathot, V. B. F., & Groeninckx, G. (2005) · Polymer · doi:10.1016/j.polymer.2005.02.020 · Cited by 78 · see citing works
Balsamo, V., & Gouveia, L. M. (2007) · Journal of Polymer Science Part B Polymer Physics · doi:10.1002/polb.21137 · Cited by 25 · see citing works
- Authors
- Burns, J. R., & Turnbull, D.
- Affiliations
- Harvard University (US)
- ORCID
- Turnbull, D.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 1966-10-01
- Volume
- 37
- Issue
- 11
- Pages
- 4021-4026
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W2087934014
- Cited by
- 90
- References
- 7
- Citations by year
- 2025: 2 · 2022: 3 · 2021: 2 · 2020: 3 · 2019: 2 · 2017: 3 · 2016: 4 · 2015: 3 · 2014: 6 · 2013: 4 · 2012: 2
- FWCI
- 2.27
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Applied Physics (publishedVersion)
- Funders
- National Science Foundation
- Graduate Women in Science
- Topics
- Physical Sciences › Materials Science › Polymers and Plastics › Polymer crystallization and properties
- Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › nanoparticles nucleation surface interactions
- Physical Sciences › Materials Science › Materials Chemistry › Crystallization and Solubility Studies
- Keywords
- crystal nucleation, isotactic polypropylene, molten polymers, supercooling, nucleation rate, pre-exponential factor, surface energy, nucleation kinetics, droplet crystallization, cooling rate effects
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