Citation:
Chengyi Xiao, Xiaoli Sun, Chen Zhang, Weiwei Li. An In-Depth Analysis of the Scientific Connotations, Testing Methods, and Applications of Free Volume in Polymer Physics[J]. University Chemistry,
;2025, 40(4): 33-45.
doi:
10.12461/PKU.DXHX202403069
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The concept of free volume originated from the study of liquid viscosity and was later utilized by Fox and Flory in the analysis of the glass transition in polymer materials, establishing itself as a crucial tool for understanding various physical phenomena in polymers. However, there is currently a lack of comprehensive discussion on free volume in educational contexts. This paper provides an overview of the origin, definition, and applications of free volume, explores different testing methods, and investigates the relationship between free volume and the physical properties of polymers. The study aims to deepen students’ understanding of the free volume concept, promote a comprehensive grasp of polymer physical processes, and inspire interest and enthusiasm for scientific research.
-
-
-
[1]
-
[2]
-
[3]
Eyring, H.; Hirschfelder, J. J. Phys. Chem. 1937, 41 (2), 249.
-
[4]
Bondi, A. J. Phys. Chem. 1954, 58 (11), 929.
-
[5]
Fox, T. G., Jr.; Flory, P. J. J. Appl. Phys. 1950, 21 (6), 581.
-
[6]
Swapna, V. P.; Abhisha, V. S.; Stephen, R. Polymer/Polyhedral Oligomeric Silsesquioxane Nanocomposite Membranes for Pervaporation. In Polymer Nanocomposite Membranes for Pervaporation, 1st ed.; Thomas, S., George, S. C., Jose, T., Eds. Elsevier: Amsterdam, The Netherlands, 2020; pp. 201–229.
-
[7]
Fox, T. G.; Flory, P. J. J. Polym. Sci. 1954, 14 (75), 315.
-
[8]
Williams, M. L.; Landel, R. F.; Ferry, J. D. J. Am. Chem. Soc. 1955, 77 (14), 3701.
-
[9]
Ren, Y.-K.; Li, Y.-T.; Li, L.-B. Chin. J. Polym. Sci. 2017, 35 (11), 1415.
-
[10]
Cohen, M. H.; Turnbull, D. J. Chem. Phys. 1959, 31 (5), 1164.
-
[11]
White, R. P.; Lipson, J. E. G. Macromolecules 2016, 49 (11), 3987.
-
[12]
Spaepen, F. Defects in Amorphous Metals. In Les Houches Lectures XXXV on Physics of Defects, 1st ed.; Balian, R., Kléman, M., Poirier, J.-P., Eds. North Holland Press: Amsterdam, The Netherlands, 1981; pp. 133–174.
-
[13]
Yasuda, H.; Ikenberry, L. D.; Lamaze, C. E. Makromol. Chem. 1969, 125 (1), 108.
-
[14]
Hirai, N.; Eyring, H. J. Polym. Sci. 1959, 37 (131), 51.
-
[15]
Simha, R.; Boyer, R. F. J. Chem. Phys. 1962, 37 (5), 1003.
-
[16]
Miller, A. A. J. Polym. Sci. Part A-2: Polym. Phys. 1966, 4 (3), 415.
-
[17]
Cohen, M. H.; Grest, G. S. Phys. Rev. B 1979, 20 (3), 1077.
-
[18]
Kilburn, D.; Dlubek, G.; Pionteck, J.; Alam, M. A. Polymer 2006, 47 (22), 7774.
-
[19]
Orwoll, R. J. Densities, Coefficients of Thermal Expansion, and Compressibilities of Amorphous Polymers. In Physical Properties of Polymers Handbook, 2nd ed.; Mark, J. E., Eds. Springer: Heidelberg, Germany, 2007; pp. 93–217.
-
[20]
-
[21]
Banlusan, K.; Strachan, A. J. Chem. Phys. 2017, 146 (18), 184705.
-
[22]
Pal, S.; Reddy, K. V.; Yu, T.; Xiao, J.; Deng, C. J. Mater. Sci. 2021, 56 (19), 11511.
-
[23]
Banlusan, K.; Amornkitbamrung, V. J. Phys. Chem. C 2020, 124 (31), 17027.
-
[24]
Simha, R.; Somcynsky, T. Macromolecules 1969, 2 (4), 342.
-
[25]
Simha, R.; Carri, G. J. Polym. Sci. Part B: Polym. Phys. 1994, 32 (16), 2645.
-
[26]
-
[27]
McDermott, A. G.; Budd, P. M.; McKeown, N. B.; Colina, C. M.; Runt, J. J. Mater. Chem. A 2014, 2 (30), 11742.
-
[28]
Asano, A.; Takegoshi, K. J. Chem. Phys. 2001, 115 (18), 8665.
-
[29]
Golemme, G.; Nagy, J. B.; Fonseca, A.; Algieri, C.; Yampolskii, Y. Polymer 2003, 44 (17), 5039.
-
[30]
Eldrup, M.; Lightbody, D.; Sherwood, J. N. Chem. Phys. 1981, 63 (1), 51.
-
[31]
Zhang, H. J.; Sellaiyan, S.; Kakizaki, T.; Uedono, A.; Taniguchi, Y.; Hayashi, K. Macromolecules 2017, 50 (10), 3933.
-
[32]
-
[33]
-
[34]
Milina, M.; Mitchell, S.; Crivelli, P.; Cooke, D.; Pérez-Ramírez, J. Nat. Commun. 2014, 5 (1), 3922.
-
[35]
Fica-Contreras, S. M.; Hoffman, D. J.; Pan, J.; Liang, C.; Fayer, M. D. J. Am. Chem. Soc. 2021, 143 (9), 3583.
-
[36]
Curro, J. G.; Lagasse, R. R.; Simha, R. Macromolecules 1982, 15 (6), 1621.
-
[37]
McCaig, M.; Paul, D. R. Polymer 2000, 41 (2), 629.
-
[38]
Lee, W. M. Polym. Eng. Sci. 1980, 20 (1), 65.
-
[39]
Adam, G., Gibbs, J. H. J. Chem. Phys. 2004, 43 (1), 139.
-
[40]
-
[41]
-
[42]
Doolittle, A. K. J. Appl. Phys. 1951, 22 (12), 1471.
-
[43]
Vogel, H. Phys. Z 1921, 22 (1), 645.
-
[44]
Fulcher, G. S. J. Am. Ceram. Soc. 1925, 8 (6), 339.
-
[45]
Tammann, G.; Hesse, W. Z. Anorg. Allg. Chem. 1926, 156 (4), 245.
-
[46]
Allal, A.; Boned, C.; Baylaucq, A. Phys. Rev. E 2001, 64 (1), 011203.
-
[47]
Simha, R.; Boyer, R. F. J. Chem. Phys. 2004, 37 (5), 1003.
-
[48]
Dlubek, G.; Saarinen, K.; Fretwell, H. M. J. Polym. Sci. Part B: Polym. Phys. 1998, 36 (9), 1513.
-
[49]
Williams, M. L. J. Appl. Phys. 1958, 29 (10), 1395.
-
[50]
Kruse, J.; Kanzow, J.; Rätzke, K.; Faupel, F.; Heuchel, M.; Frahn, J.; Hofmann, D. Macromolecules 2005, 38 (23), 9638.
-
[51]
Miller, A. A. J. Polym. Sci., Part A: Gen. Pap. 1964, 2 (3), 1095.
-
[52]
Liu, X.; Wu, H.; Xu, W.; Jiang, Y.; Zhang, J.; Ye, B.; Zhang, H.; Chen, S.; Miao, M.; Zhang, D. Adv. Mater. 2024, 36 (9), 2308434.
-
[53]
-
[54]
Godwin, A. D. Plasticizers. In Applied Plastics Engineering Handbook: Processing and Materials, 1st ed.; Kutz, M., Eds. William Andrew Publishing: Oxford, UK, 2011; pp. 487–501.
-
[55]
Langer, E.; Bortel, K.; Waskiewicz, S.; Lenartowicz-Klik, M. Assessment of Traditional Plasticizers. In Plasticizers Derived from Post-Consumer PET, 1st ed.; Payne, E., Adamson, P., Eds. William Andrew Publishing: Oxford, UK, 2020; pp. 1–11.
-
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