The DOI matches its Crossref record.
Kinetics of Phase Change. I General Theory
Abstract
The theory of the kinetics of phase change is developed with the experimentally supported assumptions that the new phase is nucleated by germ nuclei which already exist in the old phase, and whose number can be altered by previous treatment. The density of germ nuclei diminishes through activation of some of them to become growth nuclei for grains of the new phase, and ingestion of others by these growing grains. The quantitative relations between the density of germ nuclei, growth nuclei, and transformed volume are derived and expressed in terms of a characteristic time scale for any given substance and process. The geometry and kinetics of a crystal aggregate are studied from this point of view, and it is shown that there is strong evidence of the existence, for any given substance, of an isokinetic range of temperatures and concentrations in which the characteristic kinetics of phase change remains the same. The determination of phase reaction kinetics is shown to depend upon the solution of a functional equation of a certain type. Some of the general properties of temperature-time and transformation-time curves, respectively, are described and explained.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 23
- 1906, J. Chem. Soc., 89, 413, 10.1039/CT9068900413 · DOI
- 1907, Proc. Roy. Soc., A79, 322
- 1930, Trans. Institute of Mining and Metallurgical Engineers, Iron and Steel Division, 90, 117
- 1935, Zeits. f. Physik, 93, 227, 10.1007/BF01365121 · DOI
- 1931, Zeits. f. Anorg. Allgem. Chemie, 201, 259, 10.1002/zaac.19312010123 · DOI
- 1932/33, Arch. Eisenhüttenwes., 6, 69, 10.1002/srin.193200317 · DOI
- 1936, Zeits. f. Metallkunde, 28, 340
- 1931, Zeits. f. Physik. Chemie, 12B, 415
- 1932, Zeits. f. Physik, 77, 281, 10.1007/BF01348916 · DOI
- 1926, Zeits. f. Physik. Chemie, 119, 277
- 1931, Zeits. f. Physik. Chemie, A154, 97
- 1907, Ann. Chem. et Phys., 8: 10, 457
- 1938, Ann. d. Physik, 33, 445
- 1937/38, Archiv Eisenhüttenwesen, 11, 93, 10.1002/srin.193700995 · DOI
- 1930, Zeits. f. Anorg. Chemie, 187, 289
- 1934, Zeits. f. Physik. Chemie, B26, 317
- 1935, Physik. Zeits., 36, 393
- 1938, Ann d. Physik, 33, 517
- 1938, Ann. d. Physik, 32, 128
- 1933, Arch. Eisenhüttenw., 7, 41, 10.1002/srin.193300015 · DOI
- 1933, Zeits. f. Anorg. Chemie, 214, 407
- 1934, Trans. A.S.M., 22, 690
- 1937, Metals and Alloys, 22
Cited by
Study of the kinetics of the mechanism of solid-state reactions at increasing temperatures
Šesták, J., & Berggren, G. (1971) · Thermochimica Acta · doi:10.1016/0040-6031(71)85051-7 · Cited by 1,521
The roles of amylose and amylopectin in the gelation and retrogradation of starch
Miles, M. J., Morris, V. J., Orford, P. D., & Ring, S. G. (1985) · Carbohydrate Research · doi:10.1016/s0008-6215(00)90778-x · Cited by 1,202
A theory crack healing in polymers
Wool, R. P., & O’Connor, K. M. (1981) · Journal of Applied Physics · doi:10.1063/1.328526 · Cited by 1,093
Global kinetic analysis of complex materials
Burnham, A. K., & Braun, R. L. (1999) · Energy & Fuels · doi:10.1021/ef9800765 · Cited by 585
Gels with sense: supramolecular materials that respond to heat, light and sound
Jones, C. D., & Steed, J. W. (2016) · Chemical Society Reviews · doi:10.1039/c6cs00435k · Cited by 487
Avella, M., Martuscelli, E., & Raimo, M. (2000) · Journal of Materials Science · doi:10.1023/a:1004740522751 · Cited by 357
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
Metal–organic framework gels and monoliths
Hou, J., Sapnik, A. F., & Bennett, T. D. (2020) · Chemical Science · doi:10.1039/c9sc04961d · Cited by 331
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
Crystallinity studies of PEKK and carbon fibre/PEKK composites: A review
Pérez-Martín, H., Mackenzie, P., Baidak, A., Ó Brádaigh, C. M., & Ray, D. (2021) · Composites Part B Engineering · doi:10.1016/j.compositesb.2021.109127 · Cited by 212
Raganati, F., Alfe, M., Gargiulo, V., Chirone, R., & Ammendola, P. (2019) · Chemical Engineering Journal · doi:10.1016/j.cej.2019.04.165 · Cited by 209
Melting behavior and crystallization kinetics of starch and poly(lactic acid) composites
Ke, T., & Sun, X. (2003) · Journal of Applied Polymer Science · doi:10.1002/app.12162 · Cited by 200
Duran, H., Steinhart, M., Butt, H.-J., & Floudas, G. (2011) · Nano Letters · doi:10.1021/nl200153c · Cited by 197
A phenomenological model for the degradation of biodegradable polymers
Wang, Y., Pan, J., Han, X., Sinka, C., & Ding, L. (2008) · Biomaterials · doi:10.1016/j.biomaterials.2008.04.042 · Cited by 191
Crystalline Structures, Melting, and Crystallization of Linear Polyethylene in Cylindrical Nanopores
Shin, K., Woo, E., Jeong, Y. G., Kim, C., Huh, J., & Kim, K.-W. (2007) · Macromolecules · doi:10.1021/ma070994e · Cited by 190
Crystallization in Block Copolymers
Hamley, I. W. (2007) · Advances in Polymer Science · doi:10.1007/3-540-48836-7_2 · Cited by 175
Frosting characteristics on hydrophobic and superhydrophobic surfaces: A review
Kim, M.-H., Kim, H., Lee, K.-S., & Kim, D. R. (2017) · Energy Conversion and Management · doi:10.1016/j.enconman.2017.01.067 · Cited by 171
Gleadall, A., Pan, J., Kruft, M.-A., & Kellomäki, M. (2014) · Acta Biomaterialia · doi:10.1016/j.actbio.2013.12.039 · Cited by 165
Woo, E., Huh, J., Jeong, Y. G., & Shin, K. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.136103 · Cited by 152
Molecular-scale mechanisms of CO2 mineralization in nanoscale interfacial water films
Abdolhosseini Qomi, M. J., Miller, Q. R. S., Zare, S., Schaef, H. T., Kaszuba, J. P., & Rosso, K. M. (2022) · Nature Reviews Chemistry · doi:10.1038/s41570-022-00418-1 · Cited by 147
A model for simultaneous crystallisation and biodegradation of biodegradable polymers
Han, X., & Pan, J. (2009) · Biomaterials · doi:10.1016/j.biomaterials.2008.10.001 · Cited by 143
Müller, A. J., Albuerne, J., Marquez, L., Raquez, J.-M., Degée, P., Dubois, P., Hobbs, J., & Hamley, I. W. (2005) · Faraday Discuss. · doi:10.1039/b403085k · Cited by 141
He, Y., Fan, Z., Hu, Y., Wu, T., Wei, J., & Li, S. (2007) · European Polymer Journal · doi:10.1016/j.eurpolymj.2007.07.007 · Cited by 131
Suzuki, Y., Duran, H., Akram, W., Steinhart, M., Floudas, G., & Butt, H.-J. (2013) · Soft Matter · doi:10.1039/c3sm50907a · Cited by 118
Westbrook, K. K., Parakh, V., Chung, T., Mather, P. T., Wan, L. C., Dunn, M. L., & Qi, H. J. (2010) · Journal of Engineering Materials and Technology · doi:10.1115/1.4001964 · Cited by 115
Eesaee, M., Ghassemi, P., Nguyen, D. D., Thomas, S., Elkoun, S., & Nguyen-Tri, P. (2022) · Biochemical Engineering Journal · doi:10.1016/j.bej.2022.108588 · Cited by 78
Hou, Y., Wang, W., & Bartolo, P. (2022) · Materials & Design · doi:10.1016/j.matdes.2022.110582 · Cited by 75
Nojima, S., Akutsu, Y., Akaba, M., & Tanimoto, S. (2005) · Polymer · doi:10.1016/j.polymer.2005.02.075 · Cited by 72
Gleadall, A., Pan, J., & Atkinson, H. (2012) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2012.06.023 · Cited by 67
Effects of confinement on reaction-induced fracturing during hydration of periclase
Zheng, X., Cordonnier, B., Zhu, W., Renard, F., & Jamtveit, B. (2018) · Geochemistry, Geophysics, Geosystems · doi:10.1029/2017gc007322 · Cited by 64
Koga, N., Kasahara, D., & Kimura, T. (2013) · Crystal Growth & Design · doi:10.1021/cg400350w · Cited by 63
Lorenzo, A. T., Arnal, M. L., Müller, A. J., Boschetti-de-Fierro, A., & Abetz, V. (2007) · Macromolecules · doi:10.1021/ma070252l · Cited by 59
Richardson, P. H., Richards, R. W., Blundell, D. J., MacDonald, W. A., & Mills, P. (1995) · Polymer · doi:10.1016/0032-3861(95)97866-e · Cited by 58
Wei, M., Shuai, X., & Tonelli, A. E. (2003) · Biomacromolecules · doi:10.1021/bm034078u · Cited by 56
Acceleration of dolomitization by zinc in saline waters
Vandeginste, V., Snell, O., Hall, M. R., Steer, E., & Vandeginste, A. (2019) · Nature Communications · doi:10.1038/s41467-019-09870-y · Cited by 54
Córdova, M. E., Lorenzo, A. T., Müller, A. J., Gani, L., Tencé‐Girault, S., & Leibler, L. (2011) · Macromolecular Chemistry and Physics · doi:10.1002/macp.201100039 · Cited by 50
Liu, M.-J., Chen, S.-C., Yang, K.-K., & Wang, Y.-Z. (2015) · RSC Advances · doi:10.1039/c5ra04742k · Cited by 45
Nojima, S., Fukagawa, Y., & Ikeda, H. (2009) · Macromolecules · doi:10.1021/ma901964a · Cited by 43
Palacios, J. K., Zhao, J., Hadjichristidis, N., & Müller, A. J. (2017) · Macromolecules · doi:10.1021/acs.macromol.7b02148 · Cited by 41
The nucleation effect of modified carbon black on crystallization of poly(lactic acid)
Su, Z., Li, Q., Liu, Y., Guo, W., & Wu, C. (2010) · Polymer Engineering & Science · doi:10.1002/pen.21621 · Cited by 39
Navarro-Baena, I., Kenny, J. M., & Peponi, L. (2014) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2014.03.012 · Cited by 36
Presley, T., Kuppusamy, P., Zweier, J. L., & Ilangovan, G. (2006) · Biophysical Journal · doi:10.1529/biophysj.106.090175 · Cited by 34
Boschetti‐de‐Fierro, A., Lorenzo, A. T., Müller, A. J., Schmalz, H., & Abetz, V. (2008) · Macromolecular Chemistry and Physics · doi:10.1002/macp.200700434 · Cited by 31
Tsuji, H., Iguchi, K., & Arakawa, Y. (2021) · Polymer · doi:10.1016/j.polymer.2020.123226 · Cited by 24
Crystallization and orientation of isotactic poly(propylene) in cylindrical nanopores
Reid, D. K., Ehlinger, B. A., Shao, L., & Lutkenhaus, J. L. (2014) · Journal of Polymer Science Part B: Polymer Physics · doi:10.1002/polb.23577 · Cited by 17
Manipulating Semicrystalline Polymers in Confinement
Shingne, N., Geuss, M., Thurn-Albrecht, T., Schmidt, H.-W., Mijangos, C., Steinhart, M., & Martín, J. (2017) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.7b05424 · Cited by 8
Martin, A. S., & Kaczmarek, S. E. (2025) · Journal of Sedimentary Research · doi:10.2110/jsr.2025.048 · Cited by 2
Metadata
- Authors
- Avrami, M.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1939-12-01
- Volume
- 7
- Issue
- 12
- Pages
- 1103-1112
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2024908520
- Cited by
- 11,399
- References
- 0
- FWCI
- 1.95
- Type
- journal article
- Language
- en
- Open access
- closed
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
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.