Abstract
Polymorphism (first described by Mitscherlich in 1823) is the existence of different crystal modifications of the same chemical substance. Phase transitions between different polymorphs can be classified thermodynamically (1st and 2nd order) or by the depth of structural rearrangement (reconstructive, displacive, order-disorder). Relative stabilities of inorganic polymorphs are rationalized (with limited success) in terms of radii, charges and hardness of ions, electronegativities, etc., or described by structural maps. Recently, it became possible also to explore transitions between structurally different amorphous solids or, rarely, liquids (‘polyamorphism’). The heats of melting, sublimation and evaporation of elements and compounds, as well as enthalpies of solid-solid transitions, vary widely depending the bonding type, polarity and polarizability, and the extent of structural change. Evaporation heats of homologous organic compounds show clear additive trends.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Buerger MJ (1951) Phase transformations in solids. Wiley, New York
Toledano P, Dmitriev V (1996) Reconstructive phase transitions. World Scientific, Singapore
Prewitt CT (1985) Crystal-chemistry—past, present, and future. Amer Miner 70:443–454
Batsanov SS (1983) On some crystal-chemical peculiarities of simple inorganic halogenides. Zhurnal Neorganicheskoi Khimii 28:830–836 (in Russian)
Batsanov SS (1986) Experimental foundations of structural chemistry. Standarty, Moscow (in Russian)
Phillips JC, Lukowsky G (2009) Bonds and bands in semiconductors, 2nd ed Academic, New York
Wemple SH (1973) Effective charges and ionicity. Phys Rev B7:4007–4009
Wemple SH (1973) Refractive-index behavior of amorphous semiconductors and glasses. Phys Rev B7:3767–3777
Revesz AG, Wemple SH, Gibbs GV (1981) Structural ordering related to chemical bonds in random networks. J Physique 42:C4–217–C4–219
Mooser E, Pearson WB (1959) On the crystal chemistry of normal valence compounds. Acta Cryst 12:1015–1022
Watson RE, Bennet LH (1978) Transition-metals—d-band hybridization, electronegativities and structural stability of intermetallic compounds. Phys Rev B18:6439–6449
Watson RE, Bennet LH (1982) Structural maps and parameters important to alloy phase stability. MRS Proceedings 19:99–104
Burdett JK, Price GD, Price SL (1981) Factors influencing solid-state structure—an analysis using pseudopotential radii structural maps. Phys. Rev. B 24:2903–2912
Pettifor DG (1984) A chemical-scale for crystal-structure maps. Solid State Commun 51:31–34
Pettifor DG (1985) Phenomenological and microscopic theories of structural stability. J Less-Comm Met 114:7–15
Pettifor DG (1986) The structures of binary compounds: phenomenological structure maps. J Phys C19:285–313
Pettifor DG (1992) Theoretical predictions of structure and related properties of intermetallics. Mater Sci Technol 8:345–349
Pettifor DG (2003) Structure maps revisited. J Phys Cond Matter 15:V13-V16
Dudareva AG, Mоlоdkin AK, Lоvеtskaya GA (1988) The prediction of compound formation in GaX3-MXn and InX3-MXn systems, where X = Cl, Br, I. Russ J Inorg Chem 33:916–917
Sproul G (1994) Electronegativity and bond type: evaluation of electronegativity scales. J Phys Chem 98:6699–6703
Burdett JK (1997) Chemical bond: a dialog. Wiley, Chichester
Tosi MP (1994) Melting and liquid structure of polyvalent metal-halides. Z Phys Chem 184:121–138
Villars P (1983) A 3-dimensional structural stability diagram for 998 binary AB intermetallic compounds. J Less Comm Met 92:215–238
Villars P (1984) A 3-dimensional structural stability diagram for 1011 binary AB2 intermetallic compounds. J Less Comm Met 99:33–43
Villars P (1984) 3-dimensional structural stability diagrams for 648 binary AB3 and 389 binary A3B5 intermetallic compounds. J Less Comm Met 102:199–211
Villars P (1985) A semiempirical approach to the prediction of compound formation for 3486 binary alloy systems. J Less Comm Met 109:93–115
Villars P (1986) A semiempirical approach to the prediction of compound formation for 96446 ternary alloy systems, II. J Less Comm Met 119:175–188
Villars P, Phillips JC (1988) Quantum structural diagrams and high-T c superconductivity. Phys Rev B37:2345–2348
Rabe KM, Phillips JC, Villars P, Brown ID (1992) Global multinary structural chemistry of stable quasicrystals, high-T c ferroelectrics, and high-T c superconductors. Phys Rev B45:7650–7676
Ubbelodе AR (1978) The molted state of matter. Wiley, New York
Mnyukh Yu (2001) Fundamentals of solid state phase transitions, ferromagnetism and ferrolectricity. 1st Books Library, Washington DC
Bernstein J (2002) Polymorphism in organic crystals. IUCR Monograph on Crystallography, No. 14. Clarendon Press, Oxford
Herbstein FH (2006) On the mechanism of some first-order enantiotropic solid-state phase transitions. Acta Cryst B 62:341–383
Braga D, Grepioni F (2000) Organometallic polymorphism and phase transitions. Chem Soc Rev 29:229–238
Ilott AJ, Palucha S, Batsanov AS et al (2010) Elucidation of structure and dynamics in solid octafluoronaphthalene. J Am Chem Soc 132:5179–5185
Tsuji K, Hattori T, Mori T et al (2004) Pressure dependence of the structure of liquid group 14 elements. J Phys Cond Matter 16:S989-S996
Daisenberger D, Wilson M, McMillan PF et al (2007) High-pressure X-ray scattering and computer simulation studies of density-induced polyamorphism in silicon. Phys Rev B75:224118
Brazhkin VV, Katayama Y, Trachenko K et al (2008) Nature of the structural transformations in B2O3 glass under high pressure. Phys Rev Lett 101:035702
Lee SK, Mibe K, Fei Y et al (2005) Structure of B2O3 glass at high pressure. Phys Rev Lett 94:165507
Hamaya N, Sato K, Usui-Watanaba K et al (1997) Amorphization and molecular dissociation of SnI4 at high pressure. Phys Rev Lett 79:4597–4600
Itie JP (1992) X-ray absorption-spectroscopy under high-pressure. Phase Trans 39:81–98
Giefers H, Porsch F, Wortmann G (2005) Thermal disproportionation of SnO under high pressure. Solid State Ionics 176:1327–1332
Giefers H, Porsch F, Wortmann G (2006) Structural study of SnO at high pressure. Physica B 373:76–81
Lide DR (ed) (2007–2008) Handbook of chemistry and physics, 88th edn. CRC Press, New York
Glushko VP (ed) (1981) Thermochemical constants of substances. USSR Acad Sci, Moscow (in Russian)
Kulakоv MP (1990) Change of specific volume of AIIBVI compounds on melting. Inorg Mater 26:1947–1950
Nasar A, Shamsuddin M (1990) Thermodynamic properties of ZnTe. J Less Comm Met 161:93–99
Nasar A, Shamsuddin M (1990) An investigation of thermodynamic properties of cadmium sulphide. Thermochim Acta 197:373–380
Nasar A, Shamsuddin M (1990) Thermodynamic properties of cadmium telluride. High Temp Sci 28:245–254
Nasar A, Shamsuddin M (1990) Thermodynamic properties of cadmium selenide. J Less Comm Met 158:131–135
Nasar A, Shamsuddin M (1990) Thermodynamic investigations of mercury telluride. J Less Comm Met 161:87–92
Nasar A, Shamsuddin M (1992) Investigations of the thermodynamic properties of zinc chalcogenides. Thermochim Acta 205:157–169
Gurvich LV, Veyts IV, Alcock CB (eds) (1994) Thermodynamical properties of individual substances. CRC Press, Boca Raton, FL
Guillermet AF, Frisk K (1994) Thermochemical assessment and systematics of bonding strengths in solid and liquid “MeN” 3d transition-metal nitrides. J Alloys Comp 203:77–89
Shamsuddin M, Nasar A (1988/1989) Thermodynamic properties of cadmium telluride. High Temp Sci 28:245–254
Huang Y, Brebrick RF (1988) Partial pressures and thermodynamic properties for lead telluride. J Electrochem Soc 135: 486–496
Lamoreaux RH, Hildenbrand DL, Brewer L (1987) High-temperature vaporization behavior of oxides of Be, Mg, Ca, Sr, Ba, B, Al, Ga, In, Tl, Si, Ge, Sn, Pb, Zn, Cd, and Hg. J Phys Chem Refer Data 16:419–443
Bashir-Hashemi A, Chickos JS, Hanshaw W et al (2004) The enthalpy of sublimation of cubane. Thermochim Acta 424:91–97
Rojas A, Vieyra-Eusebio MT (2011) Enthalpies of sublimation of ferrocene and nickelocene. J Chem Thermodyn 43:1738–1747
Portman R, Quin M, Sagert N et al (1989) A Knudsen cell mass-spectrometer study of the vaporization of cesium telluride and cesium tellurite. Thermochim Acta 144:21–31
Piacente V, Scardala P (1994) A study on the vaporization of copper(II) selenide. J Mater Sci Lett 13:1343–1345
Scardala P, Piacente V, Perro D (1990) Standard sublimation enthalpy of solid Ag2Se. J Less-Comm Met 162:11–21
Adami M, Ferro D, Piacente V, Scardala P (1987) Vaporization behavior and sublimation enthalpy of solid Ag2Te. High Temp Sci 23:173–186
Bardi G, Trionfetti G (1990) Vapor-pressure and sublimation enthalpy of zinc selenide and zinc telluride. Thermochim Acta 157:287–294
Bardi G, Ieronimakis K, Trionfetti G (1988) Vaporization enthalpy of cadmium selenide and telluride. Thermochim Acta 129:341–343
O’Hare PAG, Curtiss LA (1995) Thermochemistry of germanium + sulfur. J Chem Thermodyn 27:643–662
Tomaszkiewicz I, Hope GA, O’Hare PAG (1995) Thermochemistry of germanium + tellurium. J Chem Thermodyn 27:901–919
Wiedemeier H, Csillag FJ (1979) Equilibrium sublimation and thermodynamic properties of SnS. Thermochim Acta 34:257–265
Botor J, Milkowska G, Konieczny J (1989) Vapor-pressure and thermodynamics of PbS(s). Thermochim Acta 137:269–279
Konieczny J, Botor J (1990) The application of a thermobalance for determining the vapour pressure and thermodynamic properties. J Therm Analys Calorimetry 36:2015–2019.
Fajans K (1967) Degrees of polarity and mutual polarization of ions in the molecules of alkali fluorides, SrO and BaO. Struct Bonding 3:88–105
Gopikrishnan CR, Jose D, Datta A (2012) Electronic structure, lattice energies and Born exponents for alkali halides from first principles. AIP Advances 2:012131
Urusov VS (1975) Energetic crystal chemistry. Nauka, Moscow (in Russian)
Acree W, Chickos JS (2010) Phase transition enthalpy measurements of organic and organometallic compounds. Sublimation, vaporization and fusion enthalpies from 1880 to 2010. J Phys Chem Refer Data 39:043101
Nikitin MI, Rakov EG, Tsirel’nikov VI, Khaustov SV (1997) Enthalpies of formation of manganese di- and trifluorides. Russ J Inorg Chem 42:1039–1042
Brunetti B, Piacente V (1996) Torsion and Knudsen measurements of cobalt and nickel difluorides and their standard sublimation enthalpies. J Alloys Comp 236:63–69
Bardi G, Brunetti B, Ciccariello E, Piacente V (1997) Vapour pressures and sublimation enthalpies of cobalt and nickel dibromides. J Alloys Comp 247:202–205
Ionova GV (2002) Thermodynamic properties of halide compounds of tetravalent transactinides. Russ Chem Rev 71:401–416
Struck CW, Baglio JA (1991) Estimates for the enthalpies of formation of rate-earth solid and gaseous trihalides. High Temp Sci 31:209–237
Hackert A, Plies V (1998) Eine neue methode zur messung von temperaturabhängigen partialdrücken in geschlossenen systemen. Die bestimmung der bildungsenthalpie und -entropie von PtI2(s). Z anorg allgem Chem 624:74–80
Parker VB, Khodakovskii IL (1995) Thermodynamic properties of the aqueous ions (2 + and 3 +) of iron and the key compounds of iron. J Phys Chem Refer Data 24:1699–1745
Dittmer G, Niemann U (1981) Heterogeneous reactions and chemical-transport of tungsten with halogens and oxygen under steady-state conditions of incandescent lamps. Philips J Res 36:87–111
Rojas-Aguilar A, Orozco-Guareño E, Martinez-Herrera M (2001) An experimental system for measurement of enthalpies of sublimation by d.s.c. J Chem Thermodyn 33:1405–1418
Lobo LQ, Ferreira AGM (2001) Phase equilibria from the exactly integrated Clapeyron equation. J Chem Thermodyn 33:1597–1617
Chickos JS, Acree WE (2003) Enthalpies of vaporization of organic and organometallic compounds, 1880–2002. J Phys Chem Refer Data 32:519–878
Huron M-J, Claverie P (1972) Calculation of interaction energy of one molecule with its whole surrounding. J Phys Chem 76:2123–2133
Korolev GV, Il’in AA, Sizov EA et al (2000) Increments of enthalpy of vaporization of organic compounds. Russ J General Chem 70:1020–1022
Chickos JS, Zhao H, Nichols G (2004) The vaporization enthalpies and vapor pressures of fatty acid methyl esters. Thermochim Acta 424:111–121
Verevkin SP, Emel’yanenko VN, Algarra M et al (2011) Vapor pressure and enthalpies of vaporization of azides. J Chem Thermodyn 43:1652–1659
Konings RJM, Beneš O (2010) Thermodynamic properties of the f-elements and their compounds: the lanthanide and actinide metals. J Phys Chem Refer Data 39:043102
Kleykamp H (2000) Thermal properties of beryllium. Thermochim Acta 345:179–184
Digonskii VV, Digonskii SV (1992) Laws of the diamond formation. Nedra, St. Peterburg (in Russian)
Diky VV, Kabo GJ (2000) Thermodynamic properties of C60 and C70 fullerenes. Russ Chem Rev 69:95–104
Peletskii VE, Petrova II, Samsonov BN (2001) Investigation of the heat of polymorphous transformation in zirconium. High Temp Sci 39:666–669
Pistorius CWFT (1965) Polymorphic transitions of alkali bromides and iodides at high pressures to 200 °C. J Phys Chem Solids 26:1003–1011
Titov VA, Chusova TP, Stepin Yu G (1999) On thermodynamic characteristics of In-I system compounds. Z Anorg Allgem Chem 625:1013–1018
Balyakina IV, Gartman VK, Kulakov MP, Peresada GI (1990) Phase transition in cadmium selenide. Inorg Mater 26:2147–2149
Leute V, Schmidt R (1991) The quasiternary system (CdkPb1 − k)(SLTe1 − L). Z Phys Chem 172:81–103
Leute V, Brinkmann S, Linnenbrink J, Schmidtke HM (1995) The phase diagram of the quasi-ternary system (Sn, Pb)(S, Te). Z Naturforsch 50a:459–467
Örlygsson G, Harbrecht B (2001) Structure, properties, and bonding of ZrTe (MnP type), a low-symmetry, high-temperature modification of ZrTe (WC type). J Am Chem Soc 123:4168–4173
Stølen S, Johnsen H-B, Abe R et al (1999) Heat capacity and thermodynamic properties of GeSe2. J Chem Thermodyn 31:465–477
Reznitskii LA (2000) Energetics of crystalline oxides. Moscow Univ Press, Moscow (in Russian)
Moriya Y, Navrotsky A (2006) High-temperature calorimetry of zirconia: heat capacity and thermodynamics of the monoclinic-tetragonal phase transition. J Chem Thermodyn 38:211–223
Breuer K-H, Eysel W (1982) The calorimetric calibration of differential scanning calorimetry cells. Thermochim Acta 57:317–329
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Batsanov, S., Batsanov, A. (2012). Phase Transition. In: Introduction to Structural Chemistry. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4771-5_9
Download citation
DOI: https://doi.org/10.1007/978-94-007-4771-5_9
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-4770-8
Online ISBN: 978-94-007-4771-5
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)