Modification of the Maxwell–Wagner Heterogeneous Dielectric Model for Heterogeneous Polymers and Emulsions
In heterogeneous polymers and emulsions, the volume fraction of the discrete phase and the frequency of electromagnetic waves affect the accuracy of the dielectric model. The integral method was used to modify the Maxwell–Wagner (M–W) heterogeneous dielectric theory, and a new model for the complex...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/14/13/2743 |
| _version_ | 1797434044581937152 |
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| author | Jiangbo Qian Shimi Yan Zhenyu Li Ling Yu Xinlei Wang Zhijie Zhang Junze Sun Xu Han |
| author_facet | Jiangbo Qian Shimi Yan Zhenyu Li Ling Yu Xinlei Wang Zhijie Zhang Junze Sun Xu Han |
| author_sort | Jiangbo Qian |
| collection | DOAJ |
| description | In heterogeneous polymers and emulsions, the volume fraction of the discrete phase and the frequency of electromagnetic waves affect the accuracy of the dielectric model. The integral method was used to modify the Maxwell–Wagner (M–W) heterogeneous dielectric theory, and a new model for the complex dielectric constant of polymers and emulsions was established. The experimental data were compared with the results of the M–W heterogeneous dielectric integral modification model and other theoretical models for different frequencies and volume fractions of the discrete phase. We discovered that with a decreasing volume fraction of the discrete phase, the dominant frequency range of the integral modification model expanded. When the volume fraction of the discrete phase is 10%, the dominant frequency range reaches 3 GHz. When the volume fraction of the discrete phase is 1%, the dominant frequency range reaches 4 GHz. When the volume fraction of the discrete phase is 0.06%, the dominant frequency range of the real part reaches 9.6 GHz, and the dominant frequency range of the imaginary part reaches 7.2 GHz. These results verify the advantages of the M–W modification model, which provides a theoretical basis to study the dielectric properties of polymers and emulsions, as well as for microwave measurement. |
| first_indexed | 2024-03-09T10:26:08Z |
| format | Article |
| id | doaj.art-d48b460464754a029b89320b82ad9119 |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-09T10:26:08Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-d48b460464754a029b89320b82ad91192023-12-01T21:39:56ZengMDPI AGPolymers2073-43602022-07-011413274310.3390/polym14132743Modification of the Maxwell–Wagner Heterogeneous Dielectric Model for Heterogeneous Polymers and EmulsionsJiangbo Qian0Shimi Yan1Zhenyu Li2Ling Yu3Xinlei Wang4Zhijie Zhang5Junze Sun6Xu Han7Department of Power Engineering, North China Electric Power University, Baoding 071003, ChinaDepartment of Power Engineering, North China Electric Power University, Baoding 071003, ChinaDepartment of Power Engineering, North China Electric Power University, Baoding 071003, ChinaDepartment of Power Engineering, North China Electric Power University, Baoding 071003, ChinaDepartment of Power Engineering, North China Electric Power University, Baoding 071003, ChinaDepartment of Power Engineering, North China Electric Power University, Baoding 071003, ChinaDepartment of Power Engineering, North China Electric Power University, Baoding 071003, ChinaDepartment of Power Engineering, North China Electric Power University, Baoding 071003, ChinaIn heterogeneous polymers and emulsions, the volume fraction of the discrete phase and the frequency of electromagnetic waves affect the accuracy of the dielectric model. The integral method was used to modify the Maxwell–Wagner (M–W) heterogeneous dielectric theory, and a new model for the complex dielectric constant of polymers and emulsions was established. The experimental data were compared with the results of the M–W heterogeneous dielectric integral modification model and other theoretical models for different frequencies and volume fractions of the discrete phase. We discovered that with a decreasing volume fraction of the discrete phase, the dominant frequency range of the integral modification model expanded. When the volume fraction of the discrete phase is 10%, the dominant frequency range reaches 3 GHz. When the volume fraction of the discrete phase is 1%, the dominant frequency range reaches 4 GHz. When the volume fraction of the discrete phase is 0.06%, the dominant frequency range of the real part reaches 9.6 GHz, and the dominant frequency range of the imaginary part reaches 7.2 GHz. These results verify the advantages of the M–W modification model, which provides a theoretical basis to study the dielectric properties of polymers and emulsions, as well as for microwave measurement.https://www.mdpi.com/2073-4360/14/13/2743heterogeneous polymersemulsionsM–Wintegral modificationdielectric constant |
| spellingShingle | Jiangbo Qian Shimi Yan Zhenyu Li Ling Yu Xinlei Wang Zhijie Zhang Junze Sun Xu Han Modification of the Maxwell–Wagner Heterogeneous Dielectric Model for Heterogeneous Polymers and Emulsions Polymers heterogeneous polymers emulsions M–W integral modification dielectric constant |
| title | Modification of the Maxwell–Wagner Heterogeneous Dielectric Model for Heterogeneous Polymers and Emulsions |
| title_full | Modification of the Maxwell–Wagner Heterogeneous Dielectric Model for Heterogeneous Polymers and Emulsions |
| title_fullStr | Modification of the Maxwell–Wagner Heterogeneous Dielectric Model for Heterogeneous Polymers and Emulsions |
| title_full_unstemmed | Modification of the Maxwell–Wagner Heterogeneous Dielectric Model for Heterogeneous Polymers and Emulsions |
| title_short | Modification of the Maxwell–Wagner Heterogeneous Dielectric Model for Heterogeneous Polymers and Emulsions |
| title_sort | modification of the maxwell wagner heterogeneous dielectric model for heterogeneous polymers and emulsions |
| topic | heterogeneous polymers emulsions M–W integral modification dielectric constant |
| url | https://www.mdpi.com/2073-4360/14/13/2743 |
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