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
Nazan Kara
,
Ali Kiracı
,
Hamit Yurtseven
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.
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Year 2024,
Volume: 21 Issue: 2, 71 - 77, 01.11.2024
Nazan Kara
,
Ali Kiracı
,
Hamit Yurtseven
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.