PTCR effect in donor doped barium titanate: review of compositions, microstructures, processing and properties

References

• Wang DY, Umeya K: ‘Electrical properties of PTCR barium titanate’, J. Am. Ceram. Soc., 1990, 73, (3), 669–677.
   Web of Science ®Google Scholar
• Qi J, Gui Z, Wang Y, Zhu Q, Wu Y, Li L: ‘The PTCR effect in BaTiO3 ceramics modified by donor dopant’, Ceram. Int., 2002, 28, (2), 141–143.
   Web of Science ®Google Scholar
• Liang CK, Tsai CC: ‘Evaluation of a novel PTC thermistor for telecom overcurrent protection’, Sens. Actuator A: Phys., 2005, 121, (2), 443–449.
   Web of Science ®Google Scholar
• Jayanthi S, Kutty TRN: ‘Effect of segregative additives on the positive temperature coefficient in resistance characteristics of n-BaTiO3 ceramics’, J. Mater. Sci. Mater. Electron., 2006, 17, (11), 883–897.
   Web of Science ®Google Scholar
• Shimada T, Touji K, Katsuyama Y, Takeda H, Shiosaki T: ‘Lead free PTCR ceramics and its electrical properties’, J. Eur. Ceram. Soc., 2007, 27, (13–15), 3877–3882.
   Web of Science ®Google Scholar
• Huybrechts B, Ishizaki K, Takata M: ‘The positive temperature-coefficient of resistivity in barium titanate’, J. Mater. Sci., 1995, 30, (10), 2463–2474.
   Web of Science ®Google Scholar
• Nowotny J, Rekas M: ‘Positive temperature-coefficient of resistivity for BaTiO3-based materials’, Ceram. Int., 1991, 17, (4), 227–241.
   Web of Science ®Google Scholar
• Brzozowski E, Castro MS: ‘Conduction mechanism of barium titanate ceramics’, Ceram. Int., 2000, 26, (3), 265–269.
   Web of Science ®Google Scholar
• Saburi O: ‘Semiconducting bodies in the family of barium titanates’, J. Am. Ceram. Soc., 1961, 44, (2), 54–63.
   Web of Science ®Google Scholar
• Ota T, Yamai I: ‘Positive-temperature-coefficient effect in graphite cristobalite composites’, J. Am. Ceram. Soc., 1992, 75, (7), 1772–1776.
   Web of Science ®Google Scholar
• Lisjak D, Drofenik M, Kolar D: ‘Composite ceramics with a positive temperature coefficient of electrical resistivity effect’, J. Mater. Res., 2000, 15, (2), 417–428.
   Web of Science ®Google Scholar
• Hirano S, Kishimoto A: ‘Effect of heating rate on positive-temperature-coefficient-of-resistivity behaviour of conductive composite thin films’, Appl. Phys. Lett., 1998, 73, (25), 3742–3744.
   Web of Science ®Google Scholar
• Bhadrakumari S, Predeep P: ‘YBa2Cu3O7-x/Thermoplastic polymer composite thermistors’, Eur. Polym. J., 2009, 45, (1), 226–229.
   Web of Science ®Google Scholar
• Hendrix BC, Wang X, Chen W, Cui WQ: ‘Understanding doped V2O3 as a functional positive temperature-coefficient material’, J. Mater. Sci. Mater. Electron., 1992, 3, (2), 113–119.
   Web of Science ®Google Scholar
• Kokabi HR, Rapeaux M, Aymami JA, Desgardin G: ‘Electrical characterization of PTC thermistor based on chromium doped vanadium sesquioxide’, Mater. Sci. Eng. B, 1996, B38, (1–2), 80–89.
   Google Scholar
• Moulson AJ, Herbert JM: ‘Electroceramics: materials, properties, applications’, 2nd edn, 167–173; 2003, Chichester, John Wiley & Sons, Ltd.
   Google Scholar
• Kulwicki BM: in ‘Advances in ceramics’, (ed. , Levinson L M, Hill D C), 138–139; 1981, Colombus, OH, American Ceramic Society.
   Google Scholar
• Xue LA, Chen Y, Brook RJ: ‘The influence of ionic-radii on the incorporation of trivalent dopants into BaTiO3’, Mater. Sci. Eng. B: Solid State Mater., 1988, 1, (2), 193–201.
   Web of Science ®Google Scholar
• Jung YS, Na ES, Paik U, Lee J, Kim J: ‘A study on the phase transition and characteristics of rare earth elements doped BaTiO3’, Mater. Res. Bull., 2002, 37, (9), 1633–1640.
   Web of Science ®Google Scholar
• Glinchuk MD, Bykov IP, Kornienko SM, Laguta VV, Slipenyuk AM, Bilous AG, V’Yunov OI, Yanchevskii OZ: ‘Influence of impurities on the properties of rare-earth-doped barium-titanate ceramics’, J. Mater. Chem., 2000, 10, (4), 941–947.
   Web of Science ®Google Scholar
• Saburi O: ‘Properties of semiconductive barium titanates’, J. Phys. Soc. Jpn, 1959, 14, 1159–1174.
   Google Scholar
• Heywang W: ‘Resistivity anomaly in doped barium titanate’, J. Am. Ceram. Soc., 1964, 47, (10), 484–490.
   Web of Science ®Google Scholar
• Peria WT, Bratschun WR, Fenity RD: ‘Possible explanation of positive temperature coefficient in resistivity of semiconducting ferroelectrics’, J. Am. Ceram. Soc., 1961, 44, (5), 249–250.
   Web of Science ®Google Scholar
• Jonker GH: ‘Some aspects of semiconducting barium titanate’, Solid State Electron., 1964, 7, (12), 895–903.
   Web of Science ®Google Scholar
• Megaw HD: ‘Crystal structure of barium titanium oxide and other double oxides of perovskite type’, Trans. Faraday Soc. A, 1946, 42A, 224–231.
   Google Scholar
• Saburi O, Wakino K: ‘Processing techniques and applications of positive temperature coefficient thermistors’, IEEE Trans. Compon. Parts, 1963, 10, (2), 53–67.
   Google Scholar
• Daniels J, Hardtl KH, Wernicke R: ‘PTC effect of barium titanate’, Philips Tech. Rev., 1979, 38, (3), 73–82.
   Google Scholar
• Hozer L: ‘Semiconductor ceramics: grain boundary effects’, 109–141; 1994, London, Ellis Horwood.
   Google Scholar
• Goodman G: ‘Electrical conduction anomaly in samarium doped barium titanate’, J. Am. Ceram. Soc., 1963, 46, (1), 48–54.
   Web of Science ®Google Scholar
• Sinclair DC, West AR: ‘Impedance and modulus spectroscopy of semiconducting BaTiO3 showing positive temperature-coefficient of resistance’, J. Appl. Phys., 1989, 66, (8), 3850–3856.
   Web of Science ®Google Scholar
• Alallak HM, Brinkman AW, Russell GJ, Roberts AW, Woods J: ‘The effect of donor dopant concentration on the room temperature resistivity of BaTiO3 ceramics with positive temperature coefficients of resistance’, J. Phys. D: Appl. Phys., 1988, 21, (7), 1226–1233.
   Web of Science ®Google Scholar
• Preis W, Burgermeister A, Sitte W, Supancic P: ‘Bulk and grain boundary resistivities of donor-doped barium titanate ceramics’, Solid State Ion., 2004, 173, (1–4), 69–75.
   Web of Science ®Google Scholar
• Huybrechts B, Ishizaki K, Takata M: ‘Experimental evaluation of the acceptor-states compensation in positive-temperature-coefficient-type barium titanate’, J. Am. Ceram. Soc., 1992, 75, (3), 722–724.
   Web of Science ®Google Scholar
• Zubair MA, Leach C: ‘Modeling the resistance-temperature characteristic of a positive temperature coefficient thermistor, using experimentally determined permittivity data’, Appl. Phys. Lett., 2007, 91, (8), 082105.
   Google Scholar
• Miki T, Fujimoto A, Jida S: ‘An evidence of trap activation for positive temperature coefficient of resistivity in BaTiO3 ceramics with substitutional Nb and Mn as impurities’, J. Appl. Phys., 1998, 83, (3), 1592–1603.
   Web of Science ®Google Scholar
• Alles AB, Amarakoon VRW, Burdick VL: ‘Positive temperature-coefficient of resistivity effect in undoped, atmospherically reduced barium titanate’, J. Am. Ceram. Soc., 1989, 72, (1), 148–151.
   Web of Science ®Google Scholar
• Jiang S, Zhou D, Gong S, Guan X: ‘Effect of heat-treatment under oxygen atmosphere on the electrical properties of BaTiO3 thermistor’, Microelectron. Eng., 2003, 66, (1–4), 896–903.
   Web of Science ®Google Scholar
• Hideaki N, Kenjiro M, Yukio S, Makoto K: ‘Influence of Ba/Ti ratio on the positive temperature coefficient of resistivity characteristics of Ca-doped semiconducting BaTiO3 fired in reducing atmosphere and reoxidized in air’, J. Am. Ceram. Soc., 2007, 90, (6), 1817–1821.
   Web of Science ®Google Scholar
• Daniels J, Hardtl KH, Hennings D, Wernicke R: ‘Defect chemistry and electrical-conductivity of doped barium titanate ceramics’, Philips Res. Rep., 1976, 31, (6), 487–488.
   Google Scholar
• Jonker GH, Havinga EE: ‘The influence of foreign ions on the crystal lattice of barium titanate’, Mater. Res. Bull., 1982, 17, (3), 345–350.
   Web of Science ®Google Scholar
• Chan HM, Harmer MP, Smyth DM: ‘Compensating defects in highly donor-doped BaTiO3’, J. Am. Ceram. Soc., 1986, 69, (6), 507–510.
   Web of Science ®Google Scholar
• Buscaglia MT, Buscaglia V, Viviani M, Nanni P: ‘Atomistic simulation of dopant incorporation in barium titanate’, J. Am. Ceram. Soc., 2001, 84, (2), 376–384.
   Web of Science ®Google Scholar
• Smyth DM: ‘The defect chemistry of donor-doped BaTiO3: a rebuttal’, J. Electroceram., 2002, 9, (3), 179–186.
   Web of Science ®Google Scholar
• Langhammer HT, Drofenik M, Felgner KH, Abicht HP: ‘Investigation of semiconducting barium titanate ceramics by oxygen coulometry’, J. Electroceram., 2004, 13, (1–3), 793–797.
   Web of Science ®Google Scholar
• Langhammer HT, Song QM, Felgner KH, Abicht HP: ‘Investigations on the defect chemistry and the sintering of barium titanate ceramics by oxygen coulometry’, Solid State Sci., 2002, 4, (2), 197–203.
   Web of Science ®Google Scholar
• Makovec D, Drofenik M: ‘Microstructural changes during the reduction/reoxidation process in donor-doped BaTiO3 ceramics’, J. Am. Ceram. Soc., 2000, 83, (10), 2593–2599.
   Web of Science ®Google Scholar
• V’Yunov OI, Kovalenko LL, Belous AG, Belyakov VN: ‘Oxidation of reduced Y-doped semiconducting barium titanate ceramics’, Inorg. Mater., 2005, 41, (1), 87–93.
   Web of Science ®Google Scholar
• Morrison FD, Coats AM, Sinclair DC, West AR: ‘Charge compensation mechanisms in La-doped BaTiO3’, J. Electroceram., 2001, 6, (3), 219–232.
   Web of Science ®Google Scholar
• Morrison FD, Sinclair DC, West AR: ‘Doping mechanisms and electrical properties of La-doped BaTiO3 ceramics’, Int. J. Inorg. Mater., 2001, 3, (8), 1205–1210.
   Google Scholar
• Morrison FD, Sinclair DC, West AR: ‘An alternative explanation for the origin of the resistivity anomaly in La-doped BaTiO3’, J. Am. Ceram. Soc., 2001, 84, (2), 474–476.
   Web of Science ®Google Scholar
• Beltran H, Cordoncillo E, Escribano P, Sinclair DC, West AR: ‘Oxygen loss, semiconductivity, and positive temperature coefficient of resistance behavior in undoped cation-stoichiometric BaTiO3 ceramics’, J. Appl. Phys., 2005, 98, (9), 094102.
   Google Scholar
• Hayes W, Stoneham AM: ‘Defects and defect processes in nonmetallic solids’; 1985, London, John Wiley & Sons, Inc.
   Google Scholar
• Zubair MA, Leach C: ‘The effect of SiO2 addition on the development of low-Σ grain boundaries in PTC thermistors’, J. Eur. Ceram. Soc., 2010, 30, (1), 107–112.
   Web of Science ®Google Scholar
• Makovec D, Ule N, Drofenik M: ‘Positive temperature coefficient of resistivity effect in highly donor-doped barium titanate’, J. Am. Ceram. Soc., 2001, 84, (6), 1273–1280.
   Web of Science ®Google Scholar
• Morrison FD, Sinclair DC, West AR: ‘Characterization of lanthanum-doped barium titanate ceramics using impedance spectroscopy’, J. Am. Ceram. Soc., 2001, 84, (3), 531–538.
   Web of Science ®Google Scholar
• Affleck L, Seaton J, Leach C: ‘Characterisation of the R-T response of BaTiO3 thermistors on three different length scales’, J. Eur. Ceram. Soc., 2007, 27, (12), 3439–3444.
   Web of Science ®Google Scholar
• Fiorenza P, Lo Nigro R, Delugas P, Raineri V, Mould AG, Sinclair DC: ‘Direct imaging of the core-shell effect in positive temperature coefficient of resistance-BaTiO3 ceramics’, Appl. Phys. Lett., 2009, 95, (14), 142904.
   Google Scholar
• Makovec D, Samardzija Z, Drofenik M: ‘Solid solubility of holmium, yttrium, and dysprosium in BaTiO3’, J. Am. Ceram. Soc., 2004, 87, (7), 1324–1329.
   Web of Science ®Google Scholar
• Ueoka H: ‘Doping effects of transition-elements on PTC anomaly of semiconductive ferroelectric ceramics’, Ferroelectrics, 1974, 7, (1–4), 351–353.
   Web of Science ®Google Scholar
• Murakami T, Miyashita T, Nakahara M, Sekine E: ‘Effect of rare-earth ions on electrical conductivity of BaTiO3 ceramics’, J. Am. Ceram. Soc., 1973, 56, (6), 294–297.
   Web of Science ®Google Scholar
• Tennery VJ, Cook RL: ‘Investigation of rare-earth doped barium titanate’, J. Am. Ceram. Soc., 1961, 44, (4), 187–193.
   Web of Science ®Google Scholar
• Tsur Y, Dunbar TD, Randall CA: ‘Crystal and defect chemistry of rare earth cations in BaTiO3’, J. Electroceram., 2001, 7, (1), 25–34.
   Web of Science ®Google Scholar
• Dunbar TD, Warren WL, Tuttle BA, Randall CA, Tsur Y: ‘Electron paramagnetic resonance investigations of lanthanide-doped barium titanate: dopant site occupancy’, J. Phys. Chem. B, 2004, 108B, (3), 908–917.
   Google Scholar
• Zhi J, Chen A, Zhi Y, Vilarinho PM, Baptista JL: ‘Incorporation of yttrium in barium titanate ceramics’, J. Am. Ceram. Soc., 1999, 82, (5), 1345–1348.
   Web of Science ®Google Scholar
• Makovec D, Samardzija Z, Drofenik M: ‘The solid solubility of holmium in BaTiO3 under reducing conditions’, J. Am. Ceram. Soc., 2006, 89, (10), 3281–3284.
   Web of Science ®Google Scholar
• Desu SB, Payne DA: ‘Interfacial segregation in perovskites: 2. experimental evidence’, J. Am. Ceram. Soc., 1990, 73, (11), 3398–3406.
   Web of Science ®Google Scholar
• Desu SB, Payne DA: ‘Interfacial segregation in perovskites: 4. internal boundary layer devices’, J. Am. Ceram. Soc., 1990, 73, (11), 3416–3421.
   Web of Science ®Google Scholar
• Desu SB, Payne DA: ‘Interfacial segregation in perovskites: 3. microstructure and electrical properties’, J. Am. Ceram. Soc., 1990, 73, (11), 3407–3415.
   Web of Science ®Google Scholar
• Peng CJ, Lu HY: ‘Compensation effect in semiconducting barium titanate’, J. Am. Ceram. Soc., 1988, 71, (1), C44–C46.
   Web of Science ®Google Scholar
• Ting CJ, Peng CJ, Lu HY, Wu ST: ‘Lanthanum-magnesium and lanthanum-manganese donor-acceptor-codoped semiconducting barium titanate’, J. Am. Ceram. Soc., 1990, 73, (2), 329–334.
   Web of Science ®Google Scholar
• Yoon SH, Lee KH, Kim H: ‘Effect of acceptors on the segregation of donors in niobium-doped barium titanate positive temperature coefficient resistors’, J. Am. Ceram. Soc., 2000, 83, (10), 2463–2472.
   Web of Science ®Google Scholar
• Seaton J, Leach C: ‘Local property measurement in PTC thermistors’, Acta Mater., 2003, 51, (20), 6027–6034.
   Web of Science ®Google Scholar
• Wang P.-J, Zeng Z.-Q, Gui Z.-L, Li L.-T: ‘Strontium-lead titanate ceramics with positive temperature coefficient of resistance’, Mater. Lett., 1997, 30, (4), 275–277.
   Web of Science ®Google Scholar
• Zhao J, Li L, Gui Z: ‘A study of V-shaped PTC behaviour of Sr0.4Pb0.6TiO3 ceramics’, J. Eur. Ceram. Soc., 2002, 22, (7), 1171–1175.
   Web of Science ®Google Scholar
• Zhao J, Li L, Gui Z: ‘Influence of lithium modification on the properties of Y-doped Sr0.5Pb0.5TiO3 thermistors’, Sens. Actuators A, 2001, 95A, (1), 46–50.
   Google Scholar
• Chou C, Chang H, Lin I, Shaw B: ‘Microscopic examination of the microwave sintered (Pb0.6Sr0.4)TiO3 positive-temperature-coefficient resistor materials’, Jpn J. Appl. Phys., 1998, 37, 5269–5272.
   Web of Science ®Google Scholar
• Völtzke D, Abicht HP, Pippel E, Woltersdorf J: ‘Ca-containing additives in PTC-BaTiO3 ceramics: effects on the microstructural evolution’, J. Eur. Ceram. Soc., 2000, 20, (11), 1663–1669.
   Web of Science ®Google Scholar
• Anwar S, Sagdeo PR, Lalla NP: ‘Ferroelectric relaxor behavior in hafnium doped barium-titanate ceramic’, Solid State Commun., 2006, 138, (7), 331–336.
   Web of Science ®Google Scholar
• Kumar M, Garg A, Kumar R, Bhatnagar MC: ‘Structural, dielectric and ferroelectric study of Ba0.9Sr0.1ZrxTi1−xO3 ceramics prepared by the sol-gel method’, Physica B, 2008, 403B, (10–11), 1819–1823.
   Google Scholar
• Lu SG, Xu ZK, Chen H: ‘Tunability and relaxor properties of ferroelectric barium stannate titanate ceramics’, Appl. Phys. Lett., 2004, 85, (22), 5319–5321.
   Web of Science ®Google Scholar
• Yu Z, Ang C, Guo RY, Bhalla AS: ‘Ferroelectric-relaxor behavior of Ba(Ti0.7Zr0.3)O3 ceramics’, J. Appl. Phys., 2002, 92, (5), 2655–2657.
   Web of Science ®Google Scholar
• Shvartsman VV, Kleemann W, Dec J, Xu ZK, Lu SG: ‘Diffuse phase transition in BaTi1−xSnxO3 ceramics: An intermediate state between ferroelectric and relaxor behavior’, J. Appl. Phys., 2006, 99, (12), 124111.
   Google Scholar
• Chan NH, Smyth DM: ‘Defect chemistry of donor-doped BaTiO3’, J. Am. Ceram. Soc., 1984, 67, (4), 285–288.
   Web of Science ®Google Scholar
• Selmi FA, Amarakoon VRW: ‘Sol-gel coating of powders for processing electronic ceramics’, J. Am. Ceram. Soc., 1988, 71, (11), 934–937.
   Web of Science ®Google Scholar
• Viviani M, Nanni P, Buscaglia MT, Leoni M, Buscaglia V, Centurioni L: ‘Impedance spectroscopy of n-doped (Ba,Sr)TiO3 ceramics prepared by modified low temperature aqueous synthesis’, J. Eur. Ceram. Soc., 1999, 19, (6–7), 781–785.
   Web of Science ®Google Scholar
• Yaseen H, Baltianski S, Tsur Y: ‘Effect of incorporating method of niobium on the properties of doped barium titanate ceramics’, J. Am. Ceram. Soc., 2006, 89, (5), 1584–1589.
   Web of Science ®Google Scholar
• Cui B, Yu P, Tian J, Guo H, Chang Z: ‘Preparation and characterization of niobium-doped barium titanate nanocrystalline powders and ceramics’, Mater. Sci. Eng. A, 2007, A454–A455, 667–672.
   Google Scholar
• Shut VN, Kostomarov SV, Gavrilov AV: ‘PTCR ceramics produced from oxalate-derived barium titanate’, Inorg. Mater., 2008, 44, (8), 905–910.
   Web of Science ®Google Scholar
• Brzozowski E, Caballero AC, Villegas M, Castro MS, Fernandez JF: ‘Effect of doping method on microstructural and defect profile of Sb-BaTiO3’, J. Eur. Ceram. Soc., 2006, 26, (12), 2327–2336.
   Web of Science ®Google Scholar
• Mukherjee N, Roseman RD, Zhang Q: ‘Sintering behavior and PTCR properties of stoichiometric blend BaTiO3’, J. Phys. Chem. Solids, 2002, 63, (4), 631–638.
   Web of Science ®Google Scholar
• Park BK, Lee JH, Kim DY, Hwang NM: ‘Positive temperature coefficient of resistance effect in heavily niobium-doped barium titanate by the growth of the double-twinned seeds’, J. Am. Ceram. Soc., 2001, 84, (11), 2707–2709.
   Web of Science ®Google Scholar
• Qi J, Gui Z, Wu Y, Li L: ‘Positive temperature coefficient resistance effect in Ba1−xSrxTiO3 ceramics modified with Bi2O3 and PbO by vapour doping method’, J. Mater. Res., 1999, 14, (8), 3328–3329.
   Web of Science ®Google Scholar
• Chatterjee S, Maiti HS: ‘A novel method of doping PTC thermistor sensor elements during sintering through diffusion by vapour phase’, Mater. Chem. Phys., 2001, 67, (1–3), 294–297.
   Web of Science ®Google Scholar
• Qi J, Gui Z, Zhu Q, Wang Y, Wu Y, Li L: ‘Doping behavior of CdO in BaTiO3-based PTCR ceramics’, Sens. Actuators A, 2002, 100A, (2–3), 244–246.
   Google Scholar
• Qi J, Gui Z, Wu Y, Li L: ‘Influence of manganese on PTCR effect in BaTiO3-based ceramics doped with Bi2O3 vapour’, Mater. Chem. Phys., 2002, 73, (1), 97–100.
   Web of Science ®Google Scholar
• Syrtsov SR, Shut VN, Kashevich IF: ‘Positive temperature coefficient of resistivity in thin films of barium titanate’, Mater. Sci. Semicond. Process., 2003, 5, 223–225.
   Web of Science ®Google Scholar
• Yan L, Lu HB, Chen ZH, Dai SY, Zhou YL, Yang GZ: ‘Characteristics of BaNbxTi1−xO3 thin films grown by laser molecular beam epitaxy’, J. Cryst. Growth, 2002, 244, (3–4), 225–228.
   Web of Science ®Google Scholar
• Lemee N, Dubourdieu C, Delabouglise G, Senateur JP, Laroudie F: ‘Semiconductive Nb-doped BaTiO3 films grown by pulsed injection metalorganic chemical vapor deposition’, J. Cryst. Growth, 2002, 235, (1–4), 347–351.
   Web of Science ®Google Scholar
• Nagano D, Funakubo H, Shinozaki K, Mizutani N: ‘Electrical properties of semiconductive Nb-doped BaTiO3 thin films prepared by metal-organic chemical-vapor deposition’, Appl. Phys. Lett., 1998, 72, (16), 2017–2019.
   Web of Science ®Google Scholar
• Shao Y, Hughes RA, Dabkowski A, Radtke G, Gong WH, Preston JS, Botton GA: ‘Structural and transport properties of epitaxial niobium-doped BaTiO3 films’, Appl. Phys. Lett., 2008, 93, (19), 3.
   Google Scholar
• Arveux E, Payan S, Maglione M, Klein A: ‘Surface segregation in Nb-doped BaTiO3 films’, Appl. Surf. Sci., 2010, 256, (21), 6228–6232.
   Web of Science ®Google Scholar
• Chatterjee S, Sengupta K, Maiti HS: ‘A miniature PTC thermistor based sensor element fabricated by tape casting technique’, Sens. Actuators B, 1999, 60B, (2–3), 155–160.
   Google Scholar
• Zhou D, Zheng Z, Gong S, Huang G, Hu Y: ‘The influence of shaping process on microstructure and properties of BaTiO3-based chip thermistors’, Ceram. Int., 2006, 32, (7), 839–842.
   Web of Science ®Google Scholar
• Sauer HA, Fisher JR: ‘Processing of positive temperature coefficient thermistors’, J. Am. Ceram. Soc., 1960, 43, (6), 297–301.
   Web of Science ®Google Scholar
• MacChesney JB, Potter JF: ‘Factors and Mechanisms Affecting the Positive Temperature Coefficient of Resistivity of Barium Titanate’, J. Am. Ceram. Soc., 1965, 48, (2), 81–88.
   Web of Science ®Google Scholar
• LaCourse BC, Amarakoon VRW: ‘Characterization of the firing schedule for positive temperature coefficient of resistance BaTiO3’, J. Am. Ceram. Soc., 1995, 78, (12), 3352–3356.
   Web of Science ®Google Scholar
• Sinclair DC, West AR: ‘Effect of atmosphere on the PTCR properties of BaTiO3 ceramics’, J. Mater. Sci., 1994, 29, (23), 6061–6068.
   Web of Science ®Google Scholar
• Ozawa M, Suzuki S: ‘Influence of heat treatment with nitrogen in positive-temperature-coefficient-type BaTiO3’, J. Mater. Sci. Lett., 1997, 16, (7), 545–546.
   Google Scholar
• Kuwabara M, Matsuda H, Kurata N, Matsuyama E: ‘Shift of the curie point of barium titanate ceramics with sintering temperature’, J. Am. Ceram. Soc., 1997, 80, (10), 2590–2596.
   Web of Science ®Google Scholar
• Basu RN, Maiti HS: ‘Effect of sintering time on the resistivity of semiconducting BaTiO3 ceramics’, Mater. Lett., 1987, 5, (3), 99–102.
   Web of Science ®Google Scholar
• Kahn M: ‘Effect of heat-treatment on PTCR anomaly in semiconductinig barium titanate’, Am. Ceram. Soc. Bull., 1971, 50, (8), 676–677.
   Web of Science ®Google Scholar
• Zubair MA, Leach C: ‘The influence of cooling rate and SiO2 additions on the grain boundary structure of Mn-doped PTC thermistors’, J. Eur. Ceram. Soc., 2008, 28, (9), 1845–1855.
   Web of Science ®Google Scholar
• Zubair MA, Leach C: ‘Modeling the effect of SiO2 additions and cooling rate on the electrical behavior of donor-acceptor codoped positive temperature coefficient thermistors’, J. Appl. Phys., 2008, 103, (12), 123713.
   Google Scholar
• Bomlai P, Sirikulrat N, Tunkasiri T: ‘Effect of heating rate on the properties of Sb and Mn-doped barium strontium titanate PTCR ceramics’, Mater. Lett., 2005, 59, (1), 118–122.
   Web of Science ®Google Scholar
• Liu GS, Roseman RD: ‘Secondary thermal treatment effect on PTCR BaTiO3’, J. Mater. Sci. Lett., 1999, 18, (22), 1875–1878.
   Google Scholar
• Jida S, Suemasu T, Miki T: ‘Effect of microwave heating on BaTiO3: Nb ceramics with positive temperature coefficient of resistivity’, J. Appl. Phys., 1999, 86, (4), 2089–2094.
   Web of Science ®Google Scholar
• Lin T.-F, Hu C.-T, Lin IN: ‘Influence of stoichiometry on the microstructure and positive temperature coefficient of resistivity of semiconducting barium titanate ceramics’, J. Am. Ceram. Soc., 1990, 73, (3), 531–536.
   Web of Science ®Google Scholar
• Knauth P: ‘Ionic and electronic conduction in nanostructured solids: concepts and concerns, consensus and controversies’, Solid State Ion., 2006, 177, 2495–2502.
   Web of Science ®Google Scholar
• Begg BD, Vance ER, Nowotny J: ‘Effect of particle size on the room-temperature crystal structure of barium titanate’, J. Am. Ceram. Soc., 1994, 77, (12), 3186–3192.
   Web of Science ®Google Scholar
• Yashima M, Hoshina T, Ishimura D, Kobayashi S, Nakamura W, Tsurumi T, Wada S: ‘Size effect on the crystal structure of barium titanate nanoparticles’, J. Appl. Phys., 2005, 98, (1), 014313.
   Google Scholar
• Park MB, Cho NH, Kim CD, Lee SK: ‘Phase transition and physical characteristics of nanograined BaTiO3 ceramics synthesized from surface-coated nanopowders’, J. Am. Ceram. Soc., 2004, 87, (3), 510–512.
   Web of Science ®Google Scholar
• Hwang CS, Lee BT, Cho HJ, Lee KH, Kang CS, Hideki H, Lee SI, Lee MY: ‘A positive temperature coefficient of resistivity effect from a paraelectric Pt/(Ba0.5,Sr0.5)TiO3/IrO2 thin-film capacitor’, Appl. Phys. Lett., 1997, 71, (3), 371–373.
   Web of Science ®Google Scholar
• Qin WF, Zhu J, Xiong J, Tang JL, Jie WJ, Wei XH, Zhang Y, Li YR: ‘Electrical behavior of Y-doped Ba0.6Sr0.4TiO3 thin films’, J. Mater. Sci. Mater. Electron., 2007, 18, (12), 1217–1220.
   Web of Science ®Google Scholar
• Okano M, Watanabe Y, Cheong SW: ‘Nonlinear positive temperature coefficient of resistance of BaTiO3 film’, Appl. Phys. Lett., 2003, 82, (12), 1923–1925.
   Web of Science ®Google Scholar
• Kuwabara M: ‘Effect of microstructure on the PTCR effect in semiconducting barium titanate ceramics’, J. Am. Ceram. Soc., 1981, 64, (11), 639–644.
   Web of Science ®Google Scholar
• Roseman RD, Mukherjee N: ‘PTCR effect in BaTiO3: structural aspects and grain boundary potentials’, J. Electroceram., 2003, 10, (2), 117–135.
   Web of Science ®Google Scholar
• Zhang DL, Zhou DX, Jiang SL, Wang X, Gong SP: ‘Effects of porosity on the electrical characteristics of current-limiting BaTiO3-based positive-temperature-coefficient (PTC) ceramic thermistors coated with electroless nickel-phosphorous electrode’, Sens. Actuator A: Phys., 2004, 112, (1), 94–100.
   Web of Science ®Google Scholar
• Kim J.-G: ‘Synthesis of porous (Ba,Sr)TiO3 ceramics and PTCR characteristics’, Mater. Chem. Phys., 2002, 78, (1), 154–159.
   Web of Science ®Google Scholar
• Hasegawa A, Fujitsu S, Koumoto K, Yanagida H: ‘The enhanced penetration of oxygen along the grain-boundary in semiconducting barium titanate’, Jpn J. Appl. Phys., 1991, 30, (6), 1252–1255.
   Web of Science ®Google Scholar
• Liu GS, Roseman RD: ‘Effect of BaO and SiO2 addition on PTCR BaTiO3 ceramics’, J. Mater. Sci., 1999, 34, (18), 4439–4445.
   Web of Science ®Google Scholar
• Drofenik M, Makovec D, Zajc I, Langhammer HT: ‘Anomalous grain growth in donor-doped barium titanate with excess barium oxide’, J. Am. Ceram. Soc., 2002, 85, (3), 653–660.
   Web of Science ®Google Scholar
• He Z, Ma J, Qu Y, Feng X: ‘Effect of additives on the electrical properties of a (Ba0.92Sr0.08)TiO3-based positive temperature coefficient resistor’, J. Eur. Ceram. Soc., 2002, 22, (13), 2143–2148.
   Web of Science ®Google Scholar
• He ZM, Ma J, Qu YF, Wang CG: ‘Compositional and processing effects on electrical properties of (Ba0.85Pb0.15)TiO3-based positive temperature coefficient resistors’, J. Eur. Ceram. Soc., 2004, 24, (14), 3617–3622.
   Web of Science ®Google Scholar
• Mimi H, Mihara K, Sakabe Y, Kuwabara M: ‘Preparation of multilayer semiconducting BaTiO3 ceramics co-fired with Ni inner electrodes’, Jpn J. Appl. Phys. Part 1: Regul. Pap. Brief Commun. Rev. Pap., 2007, 46, (10A), 6715–6718.
   Web of Science ®Google Scholar
• Kanda A, Tashiro S, Igarashi H: ‘Effect of firing atmosphere on electrical properties of multilayer semiconducting ceramics having positive temperature coefficient of resistivity and Ni–Pd internal electrodes’, Jpn J. Appl. Phys., 1994, 33, 5431–5434.
   Web of Science ®Google Scholar
• Takeda H, Aoto W, Shiosaki T: ‘BaTiO3-(Bi1/2Na1/2)TiO3 solid-solution semiconducting ceramics with Tc>130°C’, Appl. Phys. Lett., 2005, 87, (10), 102104.
   Google Scholar
• Chu BJ, Chen DR, Li GR, Yin QR: ‘Electrical properties of Na1/2Bi1/2TiO3-BaTiO3 ceramics’, J. Eur. Ceram. Soc., 2002, 22, (13), 2115–2121.
   Web of Science ®Google Scholar
• Xiang PH, Harinaka H, Takeda H, Nishida T, Uchiyama K, Shiosaki T: ‘Annealing effects on the characteristics of high Tc lead-free barium titanate-based positive temperature coefficient of resistivity ceramics’, J. Appl. Phys., 2008, 104, (9), 094108.
   Google Scholar
• Xiang PH, Takeda H, Shiosaki T: ‘Characterization of manganese-doped BaTiO3-(Bi1/2Na1/2)TiO3 positive temperature coefficient of resistivity ceramics using impedance spectroscopy’, J. Appl. Phys., 2008, 103, (6), 064102.
   Google Scholar
• Leng SL, Li GR, Zheng LY, Wang TB, Yin QR: ‘Synthesis of Y-doped BaTiO3-(Bi1/2K1/2)TiO3 lead-free positive temperature coefficient of resistivity ceramics and their PTC effects’, J. Am. Ceram. Soc., 2009, 92, (11), 2772–2775.
   Web of Science ®Google Scholar
• Takeda H, Harinaka H, Shiosaki T, Zubair MA, Leach C, Freer R, Hoshina T, Tsurumi T: ‘Fabrication and positive temperature coefficient of resistivity properties of semiconducting ceramics based on the BaTiO3-(Bi1/2K1/2)TiO3 system’, J. Eur. Ceram. Soc., 2010, 30, (2), 555–559.
   Web of Science ®Google Scholar
• Wei JF, Pu YP, Mao YQ, Wang JF: ‘Effect of the reoxidation on positive temperature coefficient behavior of BaTiO3-Bi0.5Na0.5TiO3’, J. Am. Ceram. Soc., 2010, 93, (6), 1527–1529.
   Web of Science ®Google Scholar
• Brutchey RL, Cheng GS, Gu Q, Morse DE: ‘Positive temperature coefficient of resistivity in donor-doped BaTiO3 ceramics derived from nanocrystals synthesized at low temperature’, Adv. Mater., 2008, 20, (5), 1029–1032.
   Web of Science ®Google Scholar
• Cai Z, Li X, Hu Q, Zeng X: ‘Laser sintering of thick-film PTC thermistor paste deposited by micro-pen direct-write technology’, Microelectron. Eng., 2009, 86, (1), 10–15.
   Web of Science ®Google Scholar
• Pullar RC, Zhang Y, Chen LF, Yang SF, Evans JRG, Petrov PK, Salak AN, Kiselev DA, Kholkin AL, Ferreira VM, Alford NM: ‘Manufacture and measurement of combinatorial libraries of dielectric ceramics. Part II. Dielectric measurements of Ba1−xSrxTiO3 libraries’, J. Eur. Ceram. Soc., 2007, 27, (16), 4437–4443.
   Web of Science ®Google Scholar
• Pullar RC, Zhang Y, Chen L, Yang S, Evans JRG, Salak AN, Kiselev DA, Kholkin AL, Ferreira VM, Alford NM: ‘Dielectric measurements on a novel Ba1−xCaxTiO3 (BCT) bulk ceramic combinatorial library’, J. Electroceram., 2009, 22, (1), 245–251.
   Web of Science ®Google Scholar
• Stark JG: ‘Chemistry data book’, 28–29; 1984, London, John Murray Ltd.
   Google Scholar
• Kim JG, Tai WP, Ha JG: ‘PTCR characteristics and fabrication of porous, Sb-doped BaTiO3 ceramics’, J. Porous Mater., 2003, 10, (1), 69–74.
   Web of Science ®Google Scholar
• Zhou D, Cao M, Gong S: ‘A novel method of preparing Ba0.96Ca0.04Ti1.02O3 ceramics with low room temperature resistivity’, Mater. Sci. Eng. B, 2003, B99, (1–3), 399–402.
   Google Scholar
• Li ZC, Bergman B: ‘Electrical properties and ageing characteristics of BaTiO3 ceramics doped by single dopants’, J. Eur. Ceram. Soc., 2005, 25, (4), 441–445.
   Web of Science ®Google Scholar
• Morrison FD, Sinclair DC, West AR: ‘Electrical and structural characteristics of lanthanum-doped barium titanate ceramics’, J. Appl. Phys., 1999, 86, (11), 6355–6366.
   Web of Science ®Google Scholar
• Cernea M, Monnereau O, Llewellyn P, Tortet L, Galassi C: ‘Sol-gel synthesis and characterization of Ce doped-BaTiO3’, J. Eur. Ceram. Soc., 2006, 26, (15), 3241–3246.
   Web of Science ®Google Scholar
• Nemati ZA, Tabibazar M, Deguire MR: ‘The effects of cerium doping on the resistivity of PTCR barium lead titanate’, Br. Ceram. Trans., 1993, 92, (3), 109–113.
   Google Scholar
• Li ZC, Zhang H, Zou XD, Bergman B: ‘Synthesis of Sm-doped BaTiO3 ceramics and characterization of a secondary phase’, Mater. Sci. Eng. B: Solid State Mater., 2005, 116, (1), 34–39.
   Web of Science ®Google Scholar
• Motohira N, Okamoto H, Nakamura Y, Kishimoto A, Miyayama M, Yanagida H: ‘Single crystal growth and electrical properties of lanthanum- and gadolinium-doped BaTiO3’, J. Ceram. Soc. Jpn, 1996, 104, (4), 273–276.
   Web of Science ®Google Scholar
• Miao HY, Dong M, Tan GQ, Pu YP: ‘Doping effects of Dy and Mg on BaTiO3 ceramics prepared by hydrothermal method’, J. Electroceram., 2006, 16, (4), 297–300.
   Web of Science ®Google Scholar
• Lee WH, Groen WA, Schreinemacher H, Hennings D: ‘Dysprosium doped dielectric materials for sintering in reducing atmospheres’, J. Electroceram., 2000, 5, (1), 31–36.
   Web of Science ®Google Scholar
• Al-Shahrani A, Abboudy S: ‘Positive temperature coefficient in Ho-doped BaTiO3 ceramics’, J. Phys. Chem. Solids, 2000, 61, (6), 955–959.
   Web of Science ®Google Scholar
• Chang FG, Li T, Ge YX, Chen ZP, Liu ZS, Jing XP: ‘Electrical properties and positron annihilation study of (Ba1−xHox)TiO3 ceramics’, J. Mater. Sci., 2007, 42, (17), 7109–7115.
   Web of Science ®Google Scholar
• Jo SK, Han YH, Choi KH: ‘Effects of oxygen partial pressure control on the microstructure and PTCR properties of Ho doped BaTiO3’, J. Mater. Sci., 2007, 42, (16), 6696–6700.
   Web of Science ®Google Scholar
• Liu Y, West AR: ‘Ho-doped BaTiO3: polymorphism, phase equilibria and dielectric properties of BaTi1−xHoxO3−x/2: 0< = x< = 0.17’, J. Eur. Ceram. Soc., 2009, 29, (15), 3249–3257.
   Web of Science ®Google Scholar
• Viviani M, Buscaglia MT, Buscaglia V, Mitoseriu L, Testino A, Nanni P, Vladikova D: ‘Analysis of conductivity and PTCR effect in Er-doped BaTiO3 ceramics’, J. Eur. Ceram. Soc., 2004, 24, (6), 1221–1225.
   Web of Science ®Google Scholar
• Buscaglia MT, Viviani M, Buscaglia V, Bottino C, Nanni P: ‘Incorporation of Er3+ into BaTiO3’, J. Am. Ceram. Soc., 2002, 85, (6), 1569–1575.
   Web of Science ®Google Scholar
• Wang DJ, Gui ZL, Li LT: ‘Preparation and electrical properties of semiconducting strontium-lead titanate PTCR ceramics’, J. Mater. Sci. Mater. Electron., 1997, 8, (4), 271–276.
   Web of Science ®Google Scholar
• Ding SW, Jia G, Wang J, He ZY: ‘Electrical properties of Y- and Mn-doped BaTiO3-based PTC ceramics’, Ceram. Int., 2008, 34, (8), 2007–2010.
   Web of Science ®Google Scholar
• Wang Y, Li L, Qi J, Gui Z: ‘Ferroelectric characteristics of ytterbium-doped barium zirconium titanate ceramics’, Ceram. Int., 2002, 28, (6), 657–661.
   Web of Science ®Google Scholar
• Tzing WH, Tuan WH: ‘Effect of NiO addition on the sintering and grain growth behaviour of BaTiO3’, Ceram. Int., 1999, 25, (1), 69–75.
   Web of Science ®Google Scholar
• Langhammer HT, Müller T, Böttcher R, Mueller V, Abicht HP: ‘Copper-doped hexagonal barium titanate ceramics’, J. Eur. Ceram. Soc., 2004, 24, (6), 1489–1492.
   Web of Science ®Google Scholar
• Er G, Ishida S, Takeuchi N: ‘Durability of Nb-(Fe,Mn)-codoped PTCR BaTiO3 ceramics to reducing atmosphere’, J. Ceram. Soc. Jpn, 1998, 106, (5), 470–476.
   Web of Science ®Google Scholar
• Cui B, Yu P, Tian J, Chang Z: ‘Preparation and characterization of Co-doped BaTiO3 nanosized powders and ceramics’, Mater. Sci. Eng. B, 2006, B133, (1–3), 205–208.
   Google Scholar
• Lee DK, Yoo HI, Becker KD: ‘Nonstoichiometry and defect structure of Mn-doped BaTiO3-δ’, Solid State Ion., 2002, 154, 189–193.
   Web of Science ®Google Scholar
• Lee JH, Kim SH, Cho SH: ‘Valence change of Mn ions in BaTiO3-based PTCR materials’, J. Am. Ceram. Soc., 1995, 78, (10), 2845–2848.
   Web of Science ®Google Scholar
• V’Yunov OI, Kovalenko LL, Belous AG: ‘Electrical properties of BaTi1−xMxO3 (M = Nb, Ta, Mo, W) ceramics’, Inorg. Mater., 2006, 42, (12), 1363–1368.
   Web of Science ®Google Scholar
• Maso N, Beltran H, Cordoncillo E, Flores AA, Escribano P, Sinclair DC, West AR: ‘Synthesis and electrical properties of Nb-doped BaTiO3’, J. Mater. Chem., 2006, 16, (30), 3114–3119.
   Web of Science ®Google Scholar
• Wang X, Chan HLW, Choy C: ‘Positive temperature coefficient of resistivity effect in niobium-doped barium titanate ceramics obtained at low sintering temperature’, J. Eur. Ceram. Soc., 2004, 24, (6), 1227–1231.
   Web of Science ®Google Scholar
• Maso N, Beltran H, Cordoncillo E, Sinclair DC, West AR: ‘Polymorphism and dielectric properties of Nb-doped BaTiO3’, J. Am. Ceram. Soc., 2008, 91, (1), 144–150.
   Web of Science ®Google Scholar