Modeling the Optimal Conditions for Improved Efficacy and Crosslink Depth of Photo-Initiated Polymerization
Optimal conditions for maximum efficacy of photoinitiated polymerization are theoretically presented. Analytic formulas are shown for the crosslink time, crosslink depth, and efficacy function. The roles of photoinitiator (PI) concentration, diffusion depth, and light intensity on the polymerization...
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doaj-ec9c8a03019a42bba23fd43f51f9c7292020-11-24T23:55:40ZengMDPI AGPolymers2073-43602019-01-0111221710.3390/polym11020217polym11020217Modeling the Optimal Conditions for Improved Efficacy and Crosslink Depth of Photo-Initiated PolymerizationJui-Teng Lin0Hsia-Wei Liu1Kuo-Ti Chen2Da-Chuan Cheng3New Vision Inc., 10F, No. 55, Sect.3, Xinbei Blvd, Xinzhuang, New Taipei City 242, TaiwanDepartment of Life Science, Fu Jen Catholic University, No. 510, Zhongzheng Rd., Xinzhuang, New Taipei City 242, TaiwanGraduate Institute of Applied Science and Engineering, Fu Jen Catholic University, Xinzhuang, New Taipei City 242, TaiwanDepartment of Biomedical Imaging and Radiological Science, China Medical University, Taichung 404, TaiwanOptimal conditions for maximum efficacy of photoinitiated polymerization are theoretically presented. Analytic formulas are shown for the crosslink time, crosslink depth, and efficacy function. The roles of photoinitiator (PI) concentration, diffusion depth, and light intensity on the polymerization spatial and temporal profiles are presented for both uniform and non-uniform cases. For the type I mechanism, higher intensity may accelerate the polymer action process, but it suffers a lower steady-state efficacy. This may be overcome by a controlled re-supply of PI concentration during the light exposure. In challenging the conventional Beer⁻Lambert law (BLL), a generalized, time-dependent BLL (a Lin-law) is derived. This study, for the first time, presents analytic formulas for curing depth and crosslink time without the assumption of thin-film or spatial average. Various optimal conditions are developed for maximum efficacy based on a numerically-fit A-factor. Experimental data are analyzed for the role of PI concentration and light intensity on the gelation (crosslink) time and efficacy.https://www.mdpi.com/2073-4360/11/2/217polymerization modelingkineticphotoinitiatoroptimal efficacycrosslinking |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jui-Teng Lin Hsia-Wei Liu Kuo-Ti Chen Da-Chuan Cheng |
spellingShingle |
Jui-Teng Lin Hsia-Wei Liu Kuo-Ti Chen Da-Chuan Cheng Modeling the Optimal Conditions for Improved Efficacy and Crosslink Depth of Photo-Initiated Polymerization Polymers polymerization modeling kinetic photoinitiator optimal efficacy crosslinking |
author_facet |
Jui-Teng Lin Hsia-Wei Liu Kuo-Ti Chen Da-Chuan Cheng |
author_sort |
Jui-Teng Lin |
title |
Modeling the Optimal Conditions for Improved Efficacy and Crosslink Depth of Photo-Initiated Polymerization |
title_short |
Modeling the Optimal Conditions for Improved Efficacy and Crosslink Depth of Photo-Initiated Polymerization |
title_full |
Modeling the Optimal Conditions for Improved Efficacy and Crosslink Depth of Photo-Initiated Polymerization |
title_fullStr |
Modeling the Optimal Conditions for Improved Efficacy and Crosslink Depth of Photo-Initiated Polymerization |
title_full_unstemmed |
Modeling the Optimal Conditions for Improved Efficacy and Crosslink Depth of Photo-Initiated Polymerization |
title_sort |
modeling the optimal conditions for improved efficacy and crosslink depth of photo-initiated polymerization |
publisher |
MDPI AG |
series |
Polymers |
issn |
2073-4360 |
publishDate |
2019-01-01 |
description |
Optimal conditions for maximum efficacy of photoinitiated polymerization are theoretically presented. Analytic formulas are shown for the crosslink time, crosslink depth, and efficacy function. The roles of photoinitiator (PI) concentration, diffusion depth, and light intensity on the polymerization spatial and temporal profiles are presented for both uniform and non-uniform cases. For the type I mechanism, higher intensity may accelerate the polymer action process, but it suffers a lower steady-state efficacy. This may be overcome by a controlled re-supply of PI concentration during the light exposure. In challenging the conventional Beer⁻Lambert law (BLL), a generalized, time-dependent BLL (a Lin-law) is derived. This study, for the first time, presents analytic formulas for curing depth and crosslink time without the assumption of thin-film or spatial average. Various optimal conditions are developed for maximum efficacy based on a numerically-fit A-factor. Experimental data are analyzed for the role of PI concentration and light intensity on the gelation (crosslink) time and efficacy. |
topic |
polymerization modeling kinetic photoinitiator optimal efficacy crosslinking |
url |
https://www.mdpi.com/2073-4360/11/2/217 |
work_keys_str_mv |
AT juitenglin modelingtheoptimalconditionsforimprovedefficacyandcrosslinkdepthofphotoinitiatedpolymerization AT hsiaweiliu modelingtheoptimalconditionsforimprovedefficacyandcrosslinkdepthofphotoinitiatedpolymerization AT kuotichen modelingtheoptimalconditionsforimprovedefficacyandcrosslinkdepthofphotoinitiatedpolymerization AT dachuancheng modelingtheoptimalconditionsforimprovedefficacyandcrosslinkdepthofphotoinitiatedpolymerization |
_version_ |
1725461214013685760 |