Abstract
The temperature dependence of molar heat capacity of Ba1.5Fe2(PO4)3 phosphate was investigated between T = 6 and 670 K with precision adiabatic vacuum and differential scanning calorimetry. The anomaly was observed in the heat capacity curve, and its character was explained by magnetic disorder–order phase transition at T below 6 K. The standard thermodynamic functions \(C_{{{\text{p}} \cdot {\text{m}}}}^{{\text o}}\), \([H_{\text{m}}^{{\text o}} \left( T \right) - H_{\text{m}}^{{\text o}} \left( 6 \right)]\), \(\left[ {S_{\text{m}}^{{\text o}} \left( T \right) - S_{\text{m}}^{{\text o}} \left( 6 \right)} \right]\) and \(\Phi _{\text{m}}^{{\text o}}\) of Ba1.5Fe2(PO4)3 were calculated within the range T → 6–670 K. The low-temperature heat capacity analysis, based on the Debye theory and multifractal model, reveals framework structural topology of the studied phosphate.
Similar content being viewed by others
References
Jiao M, Lv W, Lu W, Zhao Q, Shao B, You H. Optical properties and energy transfer of a novel KSrSc2(PO4)3:Ce3+/Eu2+/Tb3+ phosphor for white light emitting diodes. Dalton Trans. 2015;44:4080–7.
Slobodyanik NS, Terebilenko KV, Ogorodnyk IV, Zatovsky IV, Seredyuk M, Baumer VN, Gütlich P. K2M III2 (MVIO4)(PO4)2 (MIII = Fe. Sc; MVI = Mo. W), novel members of the lagbeinite-related family: synthesis, structure, and magnetic properties. Inorg Chem. 2012;51:1380–5.
Guelylah A, Madariaga G, Morgenroth W, Aroyo MI, Breczewski T, Bocanegra EH. X-ray structure determination of the monoclinic (121 K) and orthorhombic (85 K) phases of -langbeinite-type dithallium dicadmium sulfate. Acta Cryst. 2000;B56:921–35.
Pet’kov VI, Asabina EA, Sukhanov MV, Schelokov IA, Shipilov AS, Alekseev AA. Design and characterization of phosphate-containing ceramics with kosnarite- and langbeinite-type structures for industrial applications. Chem Eng Trans. 2015;43:1825–30.
Zaripov AR, Orlova VA, Pet’kov VI, Slyunchev OM, Galuzin DD, Rovnyi SI. Synthesis and study of the phosphate Cs2Mn0.5Zr1.5(PO4)3. Russ J Inorg Chem. 2009;54:45–51.
Norberg ST. New phosphate langbeinites, K2 MTi(PO4)3 (M = Er, Yb or Y), and an alternative description of the langbeinite framework. Acta Cryst. 2002;B58:743–9.
Zatovskii IV, Slobodyanik NS, Ushchapivskaya TI, Ogorodnik IV, Babarik AA. Synthesis of complex phosphates with a langbeinite structure from melts. Russ J Appl Chem. 2006;79:10–5.
Asabina EA, Pet’kov VI, Gobechiya ER, Kabalov YK, Pokholok KV, Kurazhkovskaya VS. Synthesis and crystal structure of phosphates A2FeTi(PO4)3 (A = Na, Rb). Rus. J Inorg Chem. 2008;53:40–7.
Hidouri M, López ML, Pico C, Wattiaux A, Amara MB. Synthesis and characterization of a new iron phosphate KSrFe2(PO4)3 with a langbeinite type structure. J Mol Struct. 2012;1030:145–8.
Zhang Z-J, Lin X, Zhao J-T, Zhang G-B. Preparation and spectroscopic properties of rare-earth (RE) (RE = Sm, Eu, Tb, Dy, Tm)-activated K2LnZr(PO4)3 (Ln = Y, La, Gd and Lu) phosphate in vacuum ultraviolet region. Mater Res Bull. 2013;48:224–31.
Pet’kov VI, Asabina EA, Lukuttsov AA, Korchemkin IV, Alekseev AA, Demarin VT. Immobilization of cesium into mineral-like matrices of tridymite, kosnarite, and langbeinite structure. Radiochemistry. 2015;57:632–9.
Kumar SP, Gopal B. New rare earth langbeinite phosphosilicates KBaREEZrP2SiO12 (REE: La, Nd, Sm, Eu, Gd, Dy) for lanthanide comprising nuclear waste storage. J Alloys Compd. 2016;657:422–9.
Pet’kov VI, Shipilov AS, Dmitrienko AS, Alekseev AA. Characterization and controlling thermal expansion of materials with kosnarite- and langbeinite-type structures. J Ind Eng Chem. 2018;57:236–43.
Szumera M, Wacławska I, Sułowska J. Thermal properties of MnO2 and SiO2 containing phosphate glasses. J Therm Anal Cal. 2016;123:1083–9.
Holubová J, Černošek Z, Černošková E, Beneš L. Thermal properties and structure of zinc–manganese metaphosphate glasses. J Therm Anal Cal. 2015;122:47–53.
Ciecińska M, Stoch P, Stoch A, Nocuń M. Thermal properties of 60P2O5–20Fe2O3–20Al2O3 glass for salt waste immobilization. J Therm Anal Cal. 2015;121:1225–32.
Stoch P, Ciecinska M, Stoch A. Thermal properties of phosphate glasses for salt waste immobilization. J Therm Anal Cal. 2014;117:197–204.
Pet’kov VI, Shipilov AS, Markin AV, Smirnova NN. Thermodynamic properties of crystalline magnesium zirconium phosphate. J Therm Anal Cal. 2014;115:1453–63.
Sukhanov MV, Schelokov IA, Pet’kov VI, Gobechiya ER, Kabalov YK, Markin AV, Smirnova NN. Synthesis, structure and thermophysical properties of phosphates MNi0.5Zr1.5(PO4)3 (M = Mg, Ca, Sr). Eur Chem Technol J. 2010;12:241–5.
Pet’kov VI, Shchelokov IA, Markin AV, Smirnova NN, Sukhanov MV. Thermodynamic properties of crystalline phosphate Ba0.5Zr2(PO4)3 over the temperature range from T→0 to 610 K. J Therm Anal Cal. 2010;102:1147–54.
Pet’kov VI, Asabina EA, Markin AV, Smirnova NN. Heat capacity and standard thermodynamic functions of NaTi2(PO4)3 and NaHf2(PO4)3. J Chem Eng Data. 2010;55:856–63.
Pet’kov VI, Asabina EA, Markin AV, Smirnova NN. Synthesis, characterization and thermodynamic data of compounds with NZP structure. J Therm Anal Cal. 2008;91(1):155–61.
Pet’kov VI, Asabina EA, Markin AV, Alekseev AA, Smirnova NN. Thermodynamic investigation of Rb2FeTi(PO4)3 phosphate of langbeinite structure. J Therm Anal Cal. 2016;124:1535–44.
Battle PD, Cheetham AK, Harrison WTA, Long GJ. The crystal structure and magnetic properties of the synthetic langbeinite KBaFe2(PO4)3. J Solid State Chem. 1986;62:16–25.
Battle PD, Gibb TC, Nixon S, Harrison WTA. The magnetic properties of the synthetic langbeinite KBaCr2(PO4)3. J Solid State Chem. 1988;75:21–9.
Chemical reagents and high-pure chemicals. Catalog. Moscow: Khimia; 1990. (in Russian).
Pet’kov VI, Shchelokov IA, Surazhskaya MD, Palkina KK, Kanishcheva AS, Knyazev AV. Synthesis and crystal structure of phosphate Ba1.5Fe2(PO4)3. Russ J Inorg Chem. 2010;55:1352–5.
Blokhin AV, Paulechka YU, Kabo GJ. Thermodynamic properties of [C6mim][NTf2] in the condensed state. J Chem Eng Data. 2006;51:1377–88.
Varushchenko RM, Druzhinina AI, Sorkin EL. Low-temperature heat capacity of l-bromoperfluorooctane. J Chem Thermodyn. 1997;29:623–37.
Hohne GWH, Hemminger WF, Flammersheim HF. Differential scanning calorimetry. Berlin: Springer; 2003.
Drebushchak VA. Calibration coefficient of heat-flow DSC. Part II. Optimal calibration procedure. J Therm Anal Calorim. 2005;79:213–8.
Markin AV, Sankovich AM, Smirnova NN, Zvereva IA. Heat capacity and standard thermodynamic functions of NaGdTiO4 and Na2Gd2Ti3O10 over the range from (6 to 630) K. J Chem Eng Data. 2015;60:3069–76.
Westrum EF. Lattice and Schottky contributions to the morphology of lanthanide heat capacities. J Chem Thermodyn. 1983;15:305–25.
Cracknell AP, Tooke AO. The specific heats of magnetically ordered materials. Contemp Phys. 1979;20:55–82.
Izotov AD, Shebershnyova OV, Gavrichev KS. Third all-union conference on thermal analysis and calorimetry, Kazan; 1996.
Lazarev VB, Izotov AD, Gavrichev KS, Shebershneva OV. Fractal model of heat capacity for substances with diamond-like structures. Thermochim Acta. 1995;269(270):109–16.
Lebedev BV. Application of precise calorimetry in study of polymers and polymerization processes. Thermochim Acta. 1997;297:143–9.
McCullough JP, Scott DW. Calorimetry of non-reacting systems. London: Butterworth; 1968.
Acknowledgements
The present work was performed at the Lobachevsky State University of Nizhni Novgorod with the financial support of the Russian Foundation for Basic Research and the Goverment of Nizhny Novgorod Region of the Russian Federation (Project No. 18-43-520004) and the Ministry of Education and Science of the Russian Federation (Project No. 4.8337.2017/BCh).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pet’kov, V.I., Markin, A.V., Alekseev, A.A. et al. Heat capacity measurements on Ba1.5Fe2(PO4)3 and its thermodynamic functions. J Therm Anal Calorim 132, 353–364 (2018). https://doi.org/10.1007/s10973-017-6925-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10973-017-6925-9