Abstract
A novel method for estimating the upper critical solution temperature (UCST) of N,N-diethyl-m-toluamide (DEET)-polyethylene systems was developed. It was validated using data for the dimethylacetamide (DMA)-alkane systems which showed that refractive index mixing rules, linear in volume fraction, can accurately predict mixture composition for amide-alkane systems. Furthermore, rescaling the composition descriptor with a single adjustable parameter proved adequate to address any asymmetry when modeling the DMA-alkane phase envelopes. This allowed the translation of measured refractive index cooling trajectories of DEET-alkane systems into phase diagrams and facilitated the estimation of the UCST values by fitting the data with an adjusted composition descriptor model. For both the DEET- and DMA-alkane systems, linear behavior of UCST values in either the Flory–Huggins critical interaction parameter, or the alkane critical temperature, with increasing alkane molar mass is evident. The UCST values for polymer diluent systems were estimated by extrapolation using these two complimentary approaches. For the DEET-polyethylene system, values of 183.4 and 180.1 °C respectively were obtained. Both estimates are significantly higher than the melting temperature range of polyethylene. Initial liquid–liquid phase separation is therefore likely to be responsible for the previously reported microporous microstructure of materials formed from this binary system.
Funding source: Deutsche Forschungsgemeinschaft
Award Identifier / Grant number: AN 212/22-2
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: Financial support from the Deutsche Forschungsgemeinschaft (DFG), under grant AN 212/22-2, is gratefully acknowledged.
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
1. Sibanda, M., Focke, W., Braack, A., Leuteritz, A., Brünig, H., An Tran, N. H., Wieczorek, F., Trümper, W. Bicomponent fibres for controlled release of volatile mosquito repellents. Mater. Sci. Eng. C Mater. Biol. Appl. 2017, 91, 754–761; https://doi.org/10.1016/j.msec.2018.06.016.Search in Google Scholar
2. Mapossa, A. B., Sibanda, M. M., Sitoe, A., Focke, W. W., Braack, L., Ndonyane, C., Mouatcho, J., Smart, J., Muaimbo, H., Androsch, R., Loots, M. T. Microporous polyolefin strands as controlled-release devices for mosquito repellents. Chem. Eng. J. 2019, 360, 435–444; https://doi.org/10.1016/j.cej.2018.11.237.Search in Google Scholar
3. Akhtar, M. U., Focke, W. W. Trapping citronellal in a microporous polyethylene matrix. Thermochim. Acta 2015, 613, 61–65; https://doi.org/10.1016/j.tca.2015.06.003.Search in Google Scholar
4. Castro, A. J. Methods for Making Microporous Products. US 4247498 A, 1981.Search in Google Scholar
5. Lloyd, D. R., Kinzer, K. E., Tseng, H. S. Microporous membrane formation via thermally induced phase separation. I. Solid-liquid phase separation. J. Membr. Sci. 1990, 52, 239–261; https://doi.org/10.1016/s0376-7388(00)85130-3.Search in Google Scholar
6. Ulbricht, M. Advanced functional polymer membranes. Polymer 2006, 47, 2217–2262; https://doi.org/10.1016/j.polymer.2006.01.084.Search in Google Scholar
7. Sungkapreecha, C., Iqbal, N., Focke, W. W., Androsch, R. Crystallization of poly(l-lactic acid) in solution with the mosquito-repellent N,N-diethyl-3-methylbenzamide. Polym. Cryst. 2019, 2, e10029; https://doi.org/10.1002/pcr2.10029.Search in Google Scholar
8. Sungkapreecha, C., Focke, W. W., Androsch, R. Competition between liquid-liquid de-mixing, crystallization, and glass transition in solutions of PLA of different stereochemistry and DEET. Chin. J. Polym. Sci. 2020, 38, 174–178; https://doi.org/10.1007/s10118-019-2314-0.Search in Google Scholar
9. Sungkapreecha, C., Beily, M. J., Kressler, J., Focke, W. W., Androsch, R. Phase behavior of the polymer/drug system PLA/DEET: effect of PLA molar mass on subambient liquid-liquid phase separation. Thermochim. Acta 2018, 660, 77–81.https://doi.org/10.1016/j.tca.2017.12.021.Search in Google Scholar
10. Sungkapreecha, C., Iqbal, N., Gohn, A. M., Focke, W. W., Androsch, R. Phase behavior of the polymer/drug system PLA/DEET. Polymer 2017, 126, 116–125; https://doi.org/10.1016/j.polymer.2017.08.031.Search in Google Scholar
11. Yener, H. E., Hillrichs, G., Androsch, R. Phase behavior of solvent-rich compositions of the polymer/drug system poly(butylene succinate) and N,N-diethyl-3-methylbenzamide (DEET). Colloid Polym. Sci. 2021, 299, 873–881.10.1007/s00396-021-04810-zSearch in Google Scholar
12. Flory, P. J. Thermodynamics of high polymer solutions. J. Chem. Phys. 1941, 9, 660–661; https://doi.org/10.1063/1.1750971.Search in Google Scholar
13. Huggins, M. L. Solutions of long chain compounds. J. Chem. Phys. 1941, 9, 440; https://doi.org/10.1063/1.1750930.Search in Google Scholar
14. Martens, M., Hadrich, M. J., Nestler, F., Ouda, M., Schaadt, A. Combination of refractometry and densimetry – a promising option for fast raw methanol analysis. Chem. Ing. Tech. 2020, 92, 1474–1481.https://doi.org/10.1002/cite.202000058.Search in Google Scholar
15. Shehadeh, A., Evangelou, A., Kechagia, D., Tataridis, P., Chatzilazarou, A., Shehadeh, F. Effect of ethanol, glycerol, glucose/fructose and tartaric acid on the refractive index of model aqueous solutions and wine samples. Food Chem. 2020, 329, 127085; https://doi.org/10.1016/j.foodchem.2020.127085.Search in Google Scholar
16. Pretorius, F., Focke, W. W., Androsch, R., du Toit, E. L. Estimating binary liquid composition from density and refractive index measurements: a comprehensive review of mixing rules. J. Mol. Liq. 2021, 332, 115893; https://doi.org/10.1016/j.molliq.2021.115893.Search in Google Scholar
17. Brocos, P., Piñeiro, Á., Bravo, R., Amigo, A. Refractive indices, molar volumes and molar refractions of binary liquid mixtures: concepts and correlations. Phys. Chem. Chem. Phys. 2003, 5, 550–557; https://doi.org/10.1039/b208765k.Search in Google Scholar
18. Heller, W. Remarks on refractive index mixture rules. J. Phys. Chem. 1965, 69, 1123–1129; https://doi.org/10.1021/j100888a006.Search in Google Scholar
19. Tasic, A. Z., Djordjevic, B. D., Grozdanic, D. K., Radojkovic, N. Use of mixing rules in predicting refractive indexes and specific refractivities for some binary liquid mixtures. J. Chem. Eng. Data 1992, 37, 310–313; https://doi.org/10.1021/je00007a009.Search in Google Scholar
20. Krishnaswamy, R. K., Janzen, J. Exploiting refractometry to estimate the density of polyethylene: the Lorentz–Lorenz approach re-visited. Polym. Test. 2005, 24, 762–765; https://doi.org/10.1016/j.polymertesting.2005.03.010.Search in Google Scholar
21. Iglesias-Otero, M. A., Troncoso, J., Carballo, E., Romaní, L. Density and refractive index in mixtures of ionic liquids and organic solvents: correlations and predictions. J. Chem. Thermodyn. 2008, 40, 949–956; https://doi.org/10.1016/j.jct.2008.01.023.Search in Google Scholar
22. Lobos, J., Mozo, I., Regúlez, M. F., González, J. A., García de la Fuente, I., Cobos, J. C. Thermodynamics of mixtures containing a strongly polar compound. 8. Liquid–liquid equilibria for N,N-dialkylamide + selected N-alkanes. J. Chem. Eng. Data 2006, 51, 623–627; https://doi.org/10.1021/je050428j.Search in Google Scholar
23. Tristán, C. A., González, J. A., García De La Fuente, I., Cobos, J. C. Thermodynamics of mixtures containing a very strongly polar compound. 10. Liquid–liquid equilibria for N,N-dimethylacetamide + selected alkanes. J. Chem. Eng. Data 2013, 58, 2339–2344; https://doi.org/10.1021/je400487e.Search in Google Scholar
24. Xueqin, A., Weiguo, S., Haijun, W., Guokang, Z. The (liquid+liquid) critical phenomena of (a polar liquid+an n-alkane). I. Coexistence curves of (N,N-dimethylacetamide+hexane). J. Chem. Thermodyn.1993, 25, 1373–1383; https://doi.org/10.1006/jcht.1993.1138.Search in Google Scholar
25. Xueqin, A., Weiguo, S. The (liquid + liquid) critical phenomena of (a polar liquid + an n-alkane) II. Coexistence curves of (N,N-dimethylacetamide + octane). J. Chem. Thermodyn. 1994, 26, 461–468; https://doi.org/10.1006/jcht.1994.1056.Search in Google Scholar
26. Xueqin, A., Haihong, Z., Weiguo, S. The (liquid + liquid) critical phenomena of (a polar liquid + ann-alkane): III. Coexistence curves of (N, N-dimethylacetamide + pentane). J. Chem. Thermodyn. 1995, 27, 1241–1247; https://doi.org/10.1006/jcht.1995.0130.Search in Google Scholar
27. Xueqin, A., Haihong, Z., Weiguo, S. The (liquid + liquid) critical phenomena of (a polar liquid + an n-alkane) IV. Coexistence curves of (N,N-dimethylacetamide + nonane). J. Chem. Thermodyn. 1996, 28, 1165–1172; https://doi.org/10.1006/jcht.1996.0102.Search in Google Scholar
28. An, X., Zhao, H., Jiang, F., Shen, W. The (liquid + liquid) critical phenomena of (a polar liquid + ann-alkane) V. Coexistence curves of (N,N-dimethylacetamide + heptane). J. Chem. Thermodyn. 1996, 28, 1221–1232; https://doi.org/10.1006/jcht.1996.0109.Search in Google Scholar
29. Domb, C. The Critical Point: A Historical Introduction to the Modern Theory of Critical Phenomena; CRC Press: Boca Raton, LA, 1996.10.1201/9781482295269Search in Google Scholar
30. Vale, V. R., Rathke, B., Will, S., Schröer, W. Liquid–liquid phase behavior of solutions of 1-dodecyl-3-methylimidazolium bis((trifluoromethyl)sulfonyl)amide (C12mimNTf2) in n-alkyl alcohols. J. Chem. Eng. Data 2010, 55, 4195–4205; https://doi.org/10.1021/je100359x.Search in Google Scholar
31. Schröer, W., Vale, V. R. Liquid-liquid phase separation in solutions of ionic liquids: phase diagrams, corresponding state analysis and comparison with simulations of the primitive model. J. Phys. Condens. Matter 2009, 21, 424119; https://doi.org/10.1088/0953-8984/21/42/424119.Search in Google Scholar
32. Aizpiri, A. G., Monroy, F., del Campo, C., Rsubio, R. G., Díaz Peña, M. Range of simple scaling and critical amplitudes near a LCST. The 2-butoxyethanol + water system. Chem. Phys. 1992, 165, 31–39; https://doi.org/10.1016/0301-0104(92)80040-3.Search in Google Scholar
33. Kumar, A., Krishnamurthy, H. R., Gopal, E. S. R. Equilibrium critical phenomena in binary liquid mixtures. Phys. Rep. 1983, 98, 57–143; https://doi.org/10.1016/0370-1573(83)90106-0.Search in Google Scholar
34. Singh, R. R., Pitzer, K. S. Relationships in the approach to criticality in fluids, including systematic differences between vapor-liquid and liquid-liquid systems. J. Chem. Phys. 1989, 90, 5742–5748; https://doi.org/10.1063/1.456382.Search in Google Scholar
35. Reif-Acherman, S. The history of the rectilinear diameter law. Quím. Nova 2010, 33, 2003–2010; https://doi.org/10.1590/s0100-40422010000900033.Search in Google Scholar
36. Cerdeiriña, C. A., Anisimov, M. A., Sengers, J. V. The nature of singular coexistence-curve diameters of liquid–liquid phase equilibria. Chem. Phys. Lett. 2006, 424, 414–419; https://doi.org/10.1016/j.cplett.2006.04.044.Search in Google Scholar
37. Damay, P., Leclercq, F. Asymmetry of the coexistence curve in binary systems. Size effect. J. Chem. Phys. 1991, 95, 590–599; https://doi.org/10.1063/1.461787.Search in Google Scholar
38. Wohl, K. Thermodynamic evaluation of binary and ternary liquid systems. Trans. Am. Inst. Chem. Eng. 1946, 42, 215–249.Search in Google Scholar
39. McGuire, K. S., Laxminarayan, A., Lloyd, D. R. A simple method of extrapolating the coexistence curve and predicting the melting point depression curve from cloud point data for polymer-diluent systems. Polymer 1994, 35, 4404–4407; https://doi.org/10.1016/0032-3861(94)90099-x.Search in Google Scholar
40. Diekmann, S., Dederer, E., Charmeteau, S., Wagenfeld, S., Kiefer, J., Schröer, W., Rathke, B. Revisiting the liquid–liquid phase behavior of n-alkanes and ethanol. J. Phys. Chem. B 2020, 124, 156–172; https://doi.org/10.1021/acs.jpcb.9b07214.Search in Google Scholar
41. Chickos, J. S. Hypothetical Thermodynamic Properties: the boiling and critical temperatures of polyethylene and polytetrafluoroethylene. J. Chem. Eng. Data 2004, 49, 518–526; https://doi.org/10.1021/je030211u.Search in Google Scholar
42. Yaws, C. L., Pike, R. W. Chapter 3 - Density of liquid—organic compounds. In Thermophysical Properties of Chemicals and Hydrocarbons; Yaws, C. L., Ed.; William Andrew Publishing: Norwich, NY, 2009.10.1016/B978-081551596-8.50008-0Search in Google Scholar
© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Material properties
- Solid–liquid–liquid phase envelopes from temperature-scanned refractive index data
- Application of the Folgar–Tucker model to predict the orientation of particles of different aspect ratios in polymer suspensions
- Investigating the relationship between tack and degree of conversion in DGEBA-based epoxy resin cured with dicyandiamide and diuron
- Synergistic effect of oxidized low-dimensional carbon nanomaterials on the properties of polysulfone composite membrane
- Investigations of the characteristics and performance of modified polyethersulfones (PES) as membrane oxygenator
- Preparation and assembly
- In vitro biocompatibility study of microwave absorbing conducting polymer blend films for biomedical applications
- Design and characterization of ramie fiber-reinforced composites with flame retardant surface layer including iron oxide and expandable graphite
- Reducing lactose content of milk from livestock and humans via lactose imprinted poly(2-hydroxyethyl methacrylate-N-methacryloyl-i-aspartic acid) cryogels
- Engineering and processing
- PVA coating of ferrite nanoparticles triggers pH-responsive release of 5-fluorouracil in cancer cells
- Miscible blend polyethersulfone/polyimide asymmetric membrane crosslinked with 1,3-diaminopropane for hydrogen separation
- Pyrolysis and combustion of polystyrene composites based on graphene oxide functionalized with 3-(methacryloyloxy)-propyltrimethoxysilane
Articles in the same Issue
- Frontmatter
- Material properties
- Solid–liquid–liquid phase envelopes from temperature-scanned refractive index data
- Application of the Folgar–Tucker model to predict the orientation of particles of different aspect ratios in polymer suspensions
- Investigating the relationship between tack and degree of conversion in DGEBA-based epoxy resin cured with dicyandiamide and diuron
- Synergistic effect of oxidized low-dimensional carbon nanomaterials on the properties of polysulfone composite membrane
- Investigations of the characteristics and performance of modified polyethersulfones (PES) as membrane oxygenator
- Preparation and assembly
- In vitro biocompatibility study of microwave absorbing conducting polymer blend films for biomedical applications
- Design and characterization of ramie fiber-reinforced composites with flame retardant surface layer including iron oxide and expandable graphite
- Reducing lactose content of milk from livestock and humans via lactose imprinted poly(2-hydroxyethyl methacrylate-N-methacryloyl-i-aspartic acid) cryogels
- Engineering and processing
- PVA coating of ferrite nanoparticles triggers pH-responsive release of 5-fluorouracil in cancer cells
- Miscible blend polyethersulfone/polyimide asymmetric membrane crosslinked with 1,3-diaminopropane for hydrogen separation
- Pyrolysis and combustion of polystyrene composites based on graphene oxide functionalized with 3-(methacryloyloxy)-propyltrimethoxysilane