Abstract
Due to their colossal dielectric constant (CDC), \(\hbox {RFeO}_{3}\), orthoferrite ceramics (R = rare earth metal) have recently attracted much attention. In the present research, the dielectric constants of \(\hbox {RFeO}_{3}\) orthoferrite ceramics, whether with or without CDC, have been simulated. The type of synthesis method, the type of R material, temperature, and frequency as the effective parameters on the dielectric behavior are introduced to the model. Another input parameter is the ratio of \(\hbox {Fe}^{+2}/\hbox {Fe}^{+3}\) peak area (in the XPS diagram), which is the most important parameter that affects the CDC behavior. Initially, a colossal database is formed by means of WebPlotDigitizer software and 2930 experimental data, and then the simulation is carried out through gene expression programming. Two case studies are also performed on \(\hbox {PrFeO}_{3}\) and \(\hbox {NdFeO}_{3}\) orthoferrite ceramics to validate the accuracy of the presented model. \(\hbox {PrFeO}_{3}\) exhibits significant CDC behavior whereas the \(\hbox {NdFeO}_{3}\) ceramic samples possess little CDC property, both of which were precisely simulated by the model. Two-dimensional tenth-degree equations resulting from the model predict the dielectric constant variations accurately.
Similar content being viewed by others
References
Sultan, K., Ikram, M., Asokan, K.: Structural, optical and dielectric study of Mn doped \({\rm PrFeO}_{3}\) ceramics. Vacuum 99, 251–258 (2014)
Sati, P.C., Kumar, M., Chhoker, S.: Low temperature ferromagnetic ordering and dielectric properties of \({\rm Bi}_{1-{\rm x}}{\rm Dy}_{{\rm x}}{\rm FeO}_{3}\) ceramics. Ceram. Int. 41, 3227–3236 (2015)
Mizokawa, T., Fujimori, A., Arima, T., Tokura, Y., Mori, N., Akimitsu, J.: Electronic structure of \({\rm PrNiO}_{3}\) studied by photoemission and X-ray-absorption spectroscopy: band gap and orbital ordering. Phys. Rev. B 52, 13865–13873 (1995)
Medarde, M.L.: Structural, magnetic and electronic properties of \(\text{ RNiO }_{3}\) perovskites (R = rare earth). J. Phys. Condens. Matter 9, 1679–1707 (1997)
Chanda, S., Saha, S., Dutta, A., Sinha, T.P.: Raman spectroscopy and dielectric properties of nanoceramic \({\rm NdFeO}_{3}\). Mater. Res. Bull. 48, 1688–1693 (2013)
Minh, N.Q.: Ceramic fuel-cells. J. Am. Ceram. Soc. 76, 563–588 (1993)
Ho, T.G., Ha, T.D., Pham, Q.N., Giang, H.T., Do, T.A.T., Nguyen, T.N.: Nanosized perovskite oxide NdFeO\(_{3}\) as material for a carbon-monoxide catalytic gas sensor. Adv. Nat. Sci. 2, 015012–15021 (2011)
Niu, X., Li, H., Liu, G.: Preparation, characterization and photocatalytic properties of \({\rm R}_{{\rm E}}{\rm FeO}_{3}\) (RE = Sm, Eu, Gd). J. Mol. Catal. A 232, 89–93 (2005)
Kimel, A.V., Kirilyuk, A., Tsvetkov, A., Pisarev, R.V., Rasing, T.: Laser-induced ultrafast spin reorientation in the antiferromagnet \(\text{ TmFeO }_{3}\). Nature 429, 850–853 (2004)
Kutnjak, Z., Petzelt, J., Blinc, R.: The giant electromechanical response in ferroelectric relaxors as a critical phenomenon. Nature 441, 956–959 (2006)
Gholizadeh, A.: X-ray peak broadening analysis in \({\rm LaMnO}_3+\delta \) nano-particles with rhombohedral crystal structure. J. Adv. Mater. Proc. 3, 71–83 (2015)
Shi, C., Hao, Y., Hu, Z.: Microstructure and colossal dielectric behavior of \({\rm Ca}_{2}{\rm TiMnO}_{6}\) ceramics. Scr. Mater. 64, 272–275 (2011)
Prasad, B.V., Rao, G.N., Chen, J.W., Babu, D.S.: Colossal dielectric constant in \({\rm PrFeO}_{3}\) semiconductor ceramics. Solid State Sci. 14, 225–228 (2012)
Prasad, B.V., Rao, G.N., Chen, J.W., Babu, D.S.: Abnormal high dielectric constant in \({\rm SmFeO}_{3}\) semiconductor ceramics. Mater. Res. Bull. 46, 1670–1673 (2011)
Hunpratub, S., Thongbai, P., Yamwong, T., Yimnirun, R., Maensiri, S.: Dielectric relaxations and dielectric response in multiferroic \({\rm BiFeO}_{3}\) ceramics. Appl. Phys. Lett. 94, 062904 (2009)
Idrees, M., Nadeem, M., Atif, M., Siddique, M., Mehmood, M., Hassan, M.M.: Origin of colossal dielectric response in \({\rm LaFeO}_{3}\). Acta Mater. 59, 1338–1345 (2011)
Xia, W., Wang, C.C., Liu, P., Ye, J.L., Ni, W.: Colossal dielectric behavior in \({\rm TbFeO}_{3}\) ceramics. Curr. Appl. Phys. 13, 1743–1745 (2013)
Abdellahi, M., Abhari, A., Bahmanpour, M.: Preparation and characterization of orthoferrite \({\rm PrFeO}_{3}\) ceramic. Ceram. Int. 42, 4637–4641 (2016)
Koza, J.R.: Genetic Programming: on the Programming of Computers by Means of Natural Selection. MIT Press, Cambridge (1992)
Castelli, M., Vanneschi, L., Silva, S.: Prediction of high performance concrete strength using genetic programming with geometric semantic genetic operators. Exp. Syst. Appl. 40, 6856–6862 (2013)
Sonebi, M., Cevik, A.: Genetic programming based formulation for fresh and hardened properties of self-compacting concrete containing pulverised fuel ash. Constr. Build Mater. 23, 2614–2622 (2009)
Abdellahi, M.: The best conditions for minimizing the synthesis time of nanocomposites during high energy ball milling: modeling and optimizing. J. Mater. Res. 28, 3270–3278 (2013)
Abdellahi, M., Bahmanpour, H., Bahmanpour, M.: The best conditions for minimizing the synthesis time of nanocomposites during high energy ball milling. Modeling and optimizing. Ceram. Int. 40(7), 9675–9692 (2014)
Ebrahimi-Kahrizsangi, R., Abdellahi, M., Bahmanpour, M.: Ignition time of nanopowders during milling: a novel simulation. Powder Technol. 272, 224–234 (2015)
Abdellahi, M., Bahmanpour, M., Bahmanpour, M.: Laminating; the best way to improve Charpy impact energy of nanocomposites. Ceram. Int. 40(10), 16115–16125 (2014)
Abdellahi, M., Bahmanpour, M., Bahmanpour, M.: Modeling Seebeck coefficient of \({\rm Ca}_{3- {\rm x}}{\rm M}_{{\rm x}}{\rm Co}_{4}{\rm O}_{9}\) (M = Sr, Pr, Ga, Ca, Ba, La, Ag) thermoelectric ceramics. Ceram. Int. 41(1), 345–352 (2014)
Sabouhi, R., Ghayour, H., Abdellahi, M., Bahmanpour, M.: Measuring the mechanical properties of polymer–carbon nanotube composites by artificial intelligence. Int. J. Damage Mech. 25, 538–556 (2016)
Ghayour, H., Abdellahi, M., Bahmanpour, M.: Artificial intelligence and ceramic tools: experimental study, modeling and optimizing. Ceram. Int. 41(10), 13470–13479 (2015)
Huang, S., Shi, L., Tian, Z., Yuann, S., Wang, L., Gong, G., Yin, C., Zerihun, G.: High-temperature colossal dielectric response in \(\text{ RFeO }_{3}\) (R = La, Pr and Sm) ceramics. Ceram. Int. 41, 691–698 (2015)
Ye, J.L., Wang, C.C., Ni, W., Sun, X.H.: Dielectric properties of ErFeO\(_{3}\) ceramics over a broad temperature range. J. Alloys Compd. 617, 850–854 (2014)
Ma, Y., Chen, X.M., Lin, Y.Q.: Relaxorlike dielectric behavior and weak ferromagnetism in YFeO\(_{3}\) ceramics. J. Appl. Phys. 103, 124111 (2008)
Mir, S.A., Ikram, M., Asokan, K.: Structural, optical and dielectric properties of Ni substituted NdFeO\(_{3}\). Optik 125, 6903–6908 (2014)
Ghayour, H., Abdellahi, M., Bahmanpourb, M.: Simulation of thermoelectric materials efficiency. The case study of \({\rm Sr}_{1-{\rm x}}{\rm Y}_{{\rm x}}{\rm TiO}_{3}\) thermoelectric ceramic. Ceram. Int. 42(6), 7259–7269 (2016)
Ghayour, H., Abdellahi, M.: A brief review of the effect of grain size variation on the electrical properties of \({\rm BaTiO}_{3}\)-based ceramics. Powder Technol. 292, 84–93 (2016)
Bhowmik, R.N., Naresh, N.: Structure, AC conductivity and complex impedance study of Co\(_3\)O\(_4\) and Fe\(_3\)O\(_4\) mixed spinel ferrites. Int. J. Eng. Sci. Technol. 2, 40–52 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ghayour, H., Abdellahi, M., Bahmanpour, M. et al. Simulation of dielectric behavior in RFeO\(_{3}\) orthoferrite ceramics (R = rare earth metals). J Comput Electron 15, 1275–1283 (2016). https://doi.org/10.1007/s10825-016-0886-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10825-016-0886-2