Analysis of the specific heat and the free energy of [N(CH₃)₄]₂ZnBr₄ close to the ferro-paraelastic phase transition

References

• Gesi K. Phase transitions and ferroelectricity in {N(CH3)4}2XBr4 (X: Zn, Co, Cu). J Phys Soc Jpn. 1982;51:203–207. doi: 10.1143/JPSJ.51.203
   Google Scholar
• Asahi T, Hasebe K, Gesi K. Refinement of the crystal structure of [N(CH3)4]2ZnBr4 in connection with its phase transition. J Phys Soc Jpn. 1988;57:4219–4224. doi: 10.1143/JPSJ.57.4219
   Google Scholar
• Igartua JM, Larrea IR, Couzi M, et al. Calorimetric and Raman study of the phase transition in [N(CH3)4]2ZnBr4. Phys Status Solidi B. 1991;168:67–79. doi: 10.1002/pssb.2221680106
   Google Scholar
• Breczewski T, Cuevas AG, Bocanegra EH, et al. Ultrasonic and dilatometric study of the ferroelastic phase transition in [N(CH3)4]2ZnBr4 crystal. Solid State Commun. 1992;82:401–405. doi: 10.1016/0038-1098(92)90739-V
   Web of Science ®Google Scholar
• Trouelan P, Lefebvre J, Derollez P. Studies on tetramethylammonium tetrabromometal-lates. I. Structures of tetramethylammonium tetrabromocuprate(II), [N(CH3)4]2[CuBr4], and -zincate(II), [N(CH3)4]2[ZnBr4], at room temperature. Acta Cryst C. 1984;40:386–389. doi: 10.1107/S0108270184004248
   Web of Science ®Google Scholar
• Nishihata Y, Sawada A, Kasatani H, et al. Structure of tetramethylammonium tetrabromocobaltate at room temperature. Acta Cryst C. 1993;49:1939–1941. doi: 10.1107/S0108270193004937
   Google Scholar
• Asahi T, Hasebe K, Gesi K. A Structural study of [N(CH3)4]2CdBr4 in connection with its phase transition. J Phys Soc Jpn. 1992;61:1590–1597. doi: 10.1143/JPSJ.61.1590
   Google Scholar
• Trouelan P, Lefebvre J, Derollez P. Studies of tetramethylammonium tetrabromometallates. II. Structure of tetramethylammonium tetrabromozincate, [N(CH3)4]2[ZnBr4], in its low-temperature phase. Acta Cryst. C. 1985;41:846–850. doi: 10.1107/S0108270185005728
   Google Scholar
• Harada S, Iwata M, Ishibashi Y. Measurement of elastic constant in [N(CH3)4]2ZnBr4 single crystal. J Phys Soc Jpn. 1992;61:3436–3438. doi: 10.1143/JPSJ.61.3436
   Google Scholar
• Iwata M, Harada S, Ishibashi Y. Measurement of elastic constant in [N(CH3)4]2CoBr4 single crystal. J Phys Soc Jpn. 1996;65:1290–1292. doi: 10.1143/JPSJ.65.1290
   Google Scholar
• Meeks SW, Auld BA. Optical and acoustic device applications of ferroelastic crystals. Adv Electron El Phys. 1988;71:251–355. doi: 10.1016/S0065-2539(08)60903-8
   Web of Science ®Google Scholar
• Kuok MH, Ng SC, Liu T, et al. Brillouin and ultrasonic studies of the ferroelastic phase transition in [N(CH3)4]2ZnBr4. J Phys Soc Jpn. 1999;68:1598–1601. doi: 10.1143/JPSJ.68.1598
   Google Scholar
• Hasabe K, Mashiyama H, Tanisaki S, et al. X-ray study of the phase transitions in {N(CH3)4}2ZnBr4 and {N(CH3)4}2CoBr4. J Phys Soc Jpn. 1984;53:1866–1868. doi: 10.1143/JPSJ.53.1866
   Google Scholar
• Shimomura S, Fujii Y, Hamaya N. Hydrostatic pressure effect on the ferroelastic monoclinic phase of [N(CH3)4]2MCl4 (M=Fe, Zn). J Phys Soc Jpn. 1995;64:4759–4765. doi: 10.1143/JPSJ.64.4759
   Google Scholar
• Sawada A. Sublattice strain, ferridistortive crystaland ferrielastics. J Phys Soc Jpn. 1991;60:3593–3595. doi: 10.1143/JPSJ.60.3593
   Google Scholar
• Sawada A, Tanaka K. Ferridistortive phase transitionin [N(CH3)4]2CoBr4 crystals. J Phys Soc Jpn. 1991;60:4326–4330. doi: 10.1143/JPSJ.60.4326
   Google Scholar
• Tanaka K, Shimada T, Nishihata Y, et al. Roles of cation and anion molecules in ferridistortive phasetransition in [A(CH3)4]2XBr4 type crystals. J Phys Soc Jpn. 1995;64:146–154. doi: 10.1143/JPSJ.64.146
   Google Scholar
• Gesi K. Dielectric study of the structural phase transition in [N(CH3)4]2CdBr4. Phase Transit. 1992;38:1–7. doi: 10.1080/01411599208203455
   Web of Science ®Google Scholar
• Gesi K. Phase transition in {N (CH3)4}2MnBr4. J Phys Soc Jpn. 1983;52:2931–2935. doi: 10.1143/JPSJ.52.2931
   Google Scholar
• Gesi K, Ozawa K. Effect of hydrostatic pressure on the phase transitions in {N (CH3)4}2XBr4 (X: Zn, Co). J Phys Soc Jpn. 1983;52:2440–2442. doi: 10.1143/JPSJ.52.2440
   Google Scholar
• Iwata M, Matsuda M, Orihara H. Observation of the ferroelastic domain structure near the phase transition point. Ferroelectr Lett. 1996;21:151–160. doi: 10.1080/07315179608204756
   Web of Science ®Google Scholar
• Etxebarria J, Breczewski T, Ezpeleta JM, et al. Optical study of the ferroelastic phase transition of (N(CH3)4)2ZnBr4. Phase Transit. 1990;29:115–122. doi: 10.1080/01411599008207948
   Web of Science ®Google Scholar
• Lim AR. Study of chemically inequivalent N(CH3)4 ions in [N(CH3)4]2ZnBr4 near the phase transition temperature using 1H MAS NMR, 13C CP/MAS NMR, and 14N NMR. Solid State Sci. 2016;52:37–41. doi: 10.1016/j.solidstatesciences.2015.12.005
   Web of Science ®Google Scholar
• Rice OK. Thermodynamics of phase transitions in compressible solid lattices. J Chem Phys. 1954;22:1535–1543. doi: 10.1063/1.1740453
   Web of Science ®Google Scholar
• Mathis PC, Schultz TD. Theory of magnetothermomechanics. Phys Rev. 1963;129:175–181. doi: 10.1103/PhysRev.129.175
   Google Scholar
• Larkin AI, Pikin SA. Phase transitions of the first order but nearly of the second. Sov Phys JETP. 1969;29:891–896.
   Google Scholar
• Domb C. Some recent developments in the theory of magnetic transitions. Ann Acad Fennice Ser. 1966;A6:167–176.
   Google Scholar
• Baker G, Essam JW. Effects of lattice compressibility on critical behaviour. Phys Rev Lett. 1970;24:447–449. doi: 10.1103/PhysRevLett.24.447
   Web of Science ®Google Scholar
• Wagner H. Phase transition in a compressible king ferromagnet. Phys Rev Lett. 1970;25:31–34. doi: 10.1103/PhysRevLett.25.31
   Web of Science ®Google Scholar
• Wagner H, Swift J. Elasticity of a magnetic lattice near the magnetic critical point. Z Phys. 1970;239:182–196. doi: 10.1007/BF01398476
   Google Scholar
• Aharony A. Critical behaviour of magnets with lattice coupling. Phys Rev, B. 1973;8:4314–4317. doi: 10.1103/PhysRevB.8.4314
   Web of Science ®Google Scholar
• Yurtseven H. Phase transitions of weakly first order or nearly second order. Phase Transit. 1994;47:59–68. doi: 10.1080/01411599408200336
   Web of Science ®Google Scholar
• Yurtseven H, Yanik A. Specific heat of NH4Cl and NH4BrxCl1-x crystals close to the ferro-ordered phase. J Chem Soc Pak. 2009;31:207–213.
   Web of Science ®Google Scholar
• Yurtseven H, Tirpanci DV, Karacali H. Analysis of the specific heat of Ru doped LiKSO4 close to phase transitions. High Temp. 2018;56:462–465. doi: 10.1134/S0018151X18030239
   Web of Science ®Google Scholar
• Yurtseven H, Kayisoglu D, Sherman WH. Calculation of the specific heat for the first order, tricritical and second order phase transitions in NH4Cl. Phase Transit. 1999;67:399–412. doi: 10.1080/01411599808228749
   Web of Science ®Google Scholar
• Igartua JM, Larrea IR, Zubillaga J, et al. The specific heat of [N(CH3)4]2ZnBr4 around the ferro-paraelastic phase transition by adiabatic calorimetry. Thermochim Acta. 1992;199:35–43. doi: 10.1016/0040-6031(92)80248-U
   Web of Science ®Google Scholar
• Yurtseven H, Sherman WH. Weakly first order or nearly second order phase transitions in ammonium halides. Phase Transit. 1994;47:69–75. doi: 10.1080/01411599408200337
   Web of Science ®Google Scholar
• Echarri AL, Larrea IR, Tello MJ. Thermodynamics of the phase transition sequence in the incommensurate compound (N(CH3)4)2CuBr4. Phys Status Solidi B. 1989;154:143–152. doi: 10.1002/pssb.2221540113
   Google Scholar