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Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K

Year 2024, Volume: 21 Issue: 2, 71 - 77, 01.11.2024

Abstract

The critical exponents 𝛼, 𝛽 and 𝛾 for the specific heat, polarization and the dielectric susceptibility, respectively, have been deduced below to the phase transition temperature of TC = 373 K for the Imidazolium Perchlorate (Im-ClO4) crystal. The analysis of the critical behavior of the specific heat has been carried out using the compressible Ising model, while analysis of the polarization and the dielectric susceptibility has been performed in terms of the power-law equations. Our results show that the Rushbrooke inequality is satisfied for the Im-ClO4 crystal below the phase transition temperature of
TC = 373 K.

References

  • W. Gao, L. Chang, H. Ma, L. You, J. Yin, J. Liu, Z. Liu, J. Wang, G. Yuan, “Flexible organic ferroelectric films with a large piezoelectric response,” NPG Asia Mater, vol. 7(6), e189, Jul. 2015, doi: 10.1038/am.2015.54.
  • H. Ma, W. Gao, J. Wang, T. Wu, G. Yuan, J. Liu, Z. Liu, “Ferroelectric polarization switching dynamics and domain growth of Triglycine Sulfate and Imidazolium Perchlorate,” Adv Elect Mater, vol. 2, 1600038, Sep. 2016.
  • S. N. Riduan and Y. Zhang, “Imidazolium salts and their polymeric materials for biological applications,” Cheml Soc Rev, vol. 42(23), pp. 9055-9070, Dec. 2013, doi: 10.1039/c3cs60169b.
  • Y. Hu, Z. Guo, A. Ragonese, T. Zhu, S. Khuje, C. Li, J. C. Grossman, C. Zhou, M. Nouh, and S. Ren, “A 3D-printed molecular ferroelectric metamaterial,” PNAS, vol. 117(44), pp. 27204-27210, 2020, doi:10.1073/pnas.2013934117.
  • Y. Zhang, Y. Liu, H. Y. Ye, D. W. Fu, W. Gao, H. Ma, Z. Liu, Y. Liu, W. Zhang, J. Li, G. L. Yuan, and R. G. Xiong, “A molecular ferroelectric thin film of imidazolium perchlorate that shows superior electromechanical coupling,” Angew Chem Inter Ed, vol. 126, pp. 5164-5168, Jun. 2014, doi: 10.1002/anie.201400348.
  • Z. Pająk, P. Czarnecki, B. Szafrańska, H. Małuszyńska, and Z. Fojud, “Ferroelectric ordering in imidazolium perchlorate,” J Chem Phys, vol. 124(14), 144502, Apr. 2006, doi: 10.1063/1.2185098.
  • Z. Czapla, S. Dacko, B. Kosturek, and A. Waskowska, “Dielectric and optical properties related to phase transitions in an imidazolium perchlorate [C3N2H5ClO4] crystal,” Phys Status Solidi B, vol. 242, pp. 122-124, Nov. 2005, doi:10.1002/pssb.200541249.
  • J. Przesławski and Z. Czapla, “Calorimetric studies of phase transitions in imidazolium perchlorate crystal,” J Phys: Condensed Matter, vol. 18(23), pp. 5517–5524, Jun. 2006, doi: 10.1088/0953-8984/18/23/021.
  • L. Wenru, M. J. Hasnain, Z. Chao, Z. Vujing, Z. Haiho, H. Houhing, J. Shenglin, Z. Guangzu, “The strong electrocaloric effect in molecular ferroelectric ImClO4 with ultrahigh electrocaloric strength,” J Mater Chem A, vol. 8, pp. 16189-16194, Jul. 2020, doi: 10.1039/D0TA05154C.
  • L. Xin, Z. Linming, L. Cheng, W. Yongjun, H. Yuhui, H. Zijian, “Domain switching dynamics for ImClO4 molecular ferroelectric thin films,” Comp Mater Sci, vol. 237, 112894, Mar. 2024, doi: 10.1016/j.commatsci.2024.112894.
  • H.E. Stanley, “Introduction to Phase Transitions and Critical Phenomena,'' Oxford University Press, London,1971.
  • J.J. Binney, N. J. Dowrick, A. J. Fisher, M. E. J. Newman, ''The Theory of Critical Phenomena: An Introduction to the Renormalization Group,'' Oxford University Press Inc., New York, 1992.
  • N. Kara, A. Kiraci, and H. Yurtseven, “Calculation of the relaxation time and the activation energy close to the lower phase transition in imidazolium perchlorate,” J Basic Appl Sci, vol. 17, pp.53-63, Aug. 2021, doi: 10.29169/19275129.2021.17.09.
  • N. Kara, A. Kiraci, and H. Yurtseven, “Analysis of the specific heat and calculation of the entropy, enthalpy, and free energy close to the lower phase transition in imidazolium perchlorate,” CUSJE, vol.19(2), pp. 95-101, 2022.
  • C. Domb, “Specific heats of compressible lattices and the theory of melting,” J Chem Phys, vol.25, pp.783-783, 1956.
  • H. Yurtseven, “Weakly first order or nearly second order phase transitions,” Phase Transit, vol. 47, pp. 58–68, Jan. 1994, doi:10.1080/01411599408200336.
  • H. Yurtseven and W. H. Sherman, “Weakly first order or nearly second order phase transitions in ammonium halides,” Phase Transit, vol. 47, pp. 69–75, Dec. 1992, doi: 0.1080/01411599408200337.
  • E. Almahmoud, I. Kornev, and L. Bellaiche, “Critical Behavior in Ferroelectrics from First Principles,” Phys Rev Lett, vol. 102(10), 105701, Mar. 2009, doi: 10.1103/PhysRevLett.102.105701.
Year 2024, Volume: 21 Issue: 2, 71 - 77, 01.11.2024

Abstract

References

  • W. Gao, L. Chang, H. Ma, L. You, J. Yin, J. Liu, Z. Liu, J. Wang, G. Yuan, “Flexible organic ferroelectric films with a large piezoelectric response,” NPG Asia Mater, vol. 7(6), e189, Jul. 2015, doi: 10.1038/am.2015.54.
  • H. Ma, W. Gao, J. Wang, T. Wu, G. Yuan, J. Liu, Z. Liu, “Ferroelectric polarization switching dynamics and domain growth of Triglycine Sulfate and Imidazolium Perchlorate,” Adv Elect Mater, vol. 2, 1600038, Sep. 2016.
  • S. N. Riduan and Y. Zhang, “Imidazolium salts and their polymeric materials for biological applications,” Cheml Soc Rev, vol. 42(23), pp. 9055-9070, Dec. 2013, doi: 10.1039/c3cs60169b.
  • Y. Hu, Z. Guo, A. Ragonese, T. Zhu, S. Khuje, C. Li, J. C. Grossman, C. Zhou, M. Nouh, and S. Ren, “A 3D-printed molecular ferroelectric metamaterial,” PNAS, vol. 117(44), pp. 27204-27210, 2020, doi:10.1073/pnas.2013934117.
  • Y. Zhang, Y. Liu, H. Y. Ye, D. W. Fu, W. Gao, H. Ma, Z. Liu, Y. Liu, W. Zhang, J. Li, G. L. Yuan, and R. G. Xiong, “A molecular ferroelectric thin film of imidazolium perchlorate that shows superior electromechanical coupling,” Angew Chem Inter Ed, vol. 126, pp. 5164-5168, Jun. 2014, doi: 10.1002/anie.201400348.
  • Z. Pająk, P. Czarnecki, B. Szafrańska, H. Małuszyńska, and Z. Fojud, “Ferroelectric ordering in imidazolium perchlorate,” J Chem Phys, vol. 124(14), 144502, Apr. 2006, doi: 10.1063/1.2185098.
  • Z. Czapla, S. Dacko, B. Kosturek, and A. Waskowska, “Dielectric and optical properties related to phase transitions in an imidazolium perchlorate [C3N2H5ClO4] crystal,” Phys Status Solidi B, vol. 242, pp. 122-124, Nov. 2005, doi:10.1002/pssb.200541249.
  • J. Przesławski and Z. Czapla, “Calorimetric studies of phase transitions in imidazolium perchlorate crystal,” J Phys: Condensed Matter, vol. 18(23), pp. 5517–5524, Jun. 2006, doi: 10.1088/0953-8984/18/23/021.
  • L. Wenru, M. J. Hasnain, Z. Chao, Z. Vujing, Z. Haiho, H. Houhing, J. Shenglin, Z. Guangzu, “The strong electrocaloric effect in molecular ferroelectric ImClO4 with ultrahigh electrocaloric strength,” J Mater Chem A, vol. 8, pp. 16189-16194, Jul. 2020, doi: 10.1039/D0TA05154C.
  • L. Xin, Z. Linming, L. Cheng, W. Yongjun, H. Yuhui, H. Zijian, “Domain switching dynamics for ImClO4 molecular ferroelectric thin films,” Comp Mater Sci, vol. 237, 112894, Mar. 2024, doi: 10.1016/j.commatsci.2024.112894.
  • H.E. Stanley, “Introduction to Phase Transitions and Critical Phenomena,'' Oxford University Press, London,1971.
  • J.J. Binney, N. J. Dowrick, A. J. Fisher, M. E. J. Newman, ''The Theory of Critical Phenomena: An Introduction to the Renormalization Group,'' Oxford University Press Inc., New York, 1992.
  • N. Kara, A. Kiraci, and H. Yurtseven, “Calculation of the relaxation time and the activation energy close to the lower phase transition in imidazolium perchlorate,” J Basic Appl Sci, vol. 17, pp.53-63, Aug. 2021, doi: 10.29169/19275129.2021.17.09.
  • N. Kara, A. Kiraci, and H. Yurtseven, “Analysis of the specific heat and calculation of the entropy, enthalpy, and free energy close to the lower phase transition in imidazolium perchlorate,” CUSJE, vol.19(2), pp. 95-101, 2022.
  • C. Domb, “Specific heats of compressible lattices and the theory of melting,” J Chem Phys, vol.25, pp.783-783, 1956.
  • H. Yurtseven, “Weakly first order or nearly second order phase transitions,” Phase Transit, vol. 47, pp. 58–68, Jan. 1994, doi:10.1080/01411599408200336.
  • H. Yurtseven and W. H. Sherman, “Weakly first order or nearly second order phase transitions in ammonium halides,” Phase Transit, vol. 47, pp. 69–75, Dec. 1992, doi: 0.1080/01411599408200337.
  • E. Almahmoud, I. Kornev, and L. Bellaiche, “Critical Behavior in Ferroelectrics from First Principles,” Phys Rev Lett, vol. 102(10), 105701, Mar. 2009, doi: 10.1103/PhysRevLett.102.105701.
There are 18 citations in total.

Details

Primary Language English
Subjects Electronic, Optics and Magnetic Materials
Journal Section Articles
Authors

Nazan Kara 0000-0002-9721-6224

Ali Kiracı 0000-0003-4067-1004

Hamit Yurtseven 0000-0002-7745-6490

Publication Date November 1, 2024
Submission Date March 31, 2024
Acceptance Date May 19, 2024
Published in Issue Year 2024 Volume: 21 Issue: 2

Cite

APA Kara, N., Kiracı, A., & Yurtseven, H. (2024). Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K. Cankaya University Journal of Science and Engineering, 21(2), 71-77.
AMA Kara N, Kiracı A, Yurtseven H. Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K. CUJSE. November 2024;21(2):71-77.
Chicago Kara, Nazan, Ali Kiracı, and Hamit Yurtseven. “Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K”. Cankaya University Journal of Science and Engineering 21, no. 2 (November 2024): 71-77.
EndNote Kara N, Kiracı A, Yurtseven H (November 1, 2024) Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K. Cankaya University Journal of Science and Engineering 21 2 71–77.
IEEE N. Kara, A. Kiracı, and H. Yurtseven, “Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K”, CUJSE, vol. 21, no. 2, pp. 71–77, 2024.
ISNAD Kara, Nazan et al. “Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K”. Cankaya University Journal of Science and Engineering 21/2 (November 2024), 71-77.
JAMA Kara N, Kiracı A, Yurtseven H. Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K. CUJSE. 2024;21:71–77.
MLA Kara, Nazan et al. “Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K”. Cankaya University Journal of Science and Engineering, vol. 21, no. 2, 2024, pp. 71-77.
Vancouver Kara N, Kiracı A, Yurtseven H. Analysis of the Critical Exponents for Imidazolium Perchlorate Close to the Phase Transition Temperature of 373 K. CUJSE. 2024;21(2):71-7.