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2013 | OriginalPaper | Chapter

2. Equilibrium Background of Processes Initiated by Heating and Ehrenfest’s Classification of Phase Transitions

Author : Pavel Holba

Published in: Thermal analysis of Micro, Nano- and Non-Crystalline Materials

Publisher: Springer Netherlands

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Abstract

For a long time, transmutations, metamorphoses, and changes of substances (of fluid and solid bodies) have been the original subject of any investigation of alchemists as well as of more recent chemists. One of the oldest schemes of classification in chemistry was dividing chemical reactions into classes of decompositions (analyses), combinations (syntheses), substitutions (single replacements), and metatheses (double displacements). The invention of heat engines turned the attention of scientists to transitions between liquid water and its steam and led to the first quantitative relationship (today known as the Clapeyron equation) in 1834 (Clapeyron E, Puissance motrice de la chaleur. J l’École R Polytechnique Vingt-troisième cahier Tome XIV:153–190, 1834) describing the phase transformation and later to the foundation of thermodynamics as a new discipline of physics by William Thomson, later Lord Kelvin (An account of Carnot’s theory of the motive power of heat – with numerical results deduced from Regnault’s experiments on steam. Transactions of the Royal Society of Edinburgh, 16:541--574 (1849) and Clausius (Über die bewegende Kraft der Wärme und die Gesetze, welche sich daraus für die Wärmelehre selbst ableiten lassen. Pogg. Ann. (Annalen der Physik) 79:368–397, 500–524 (S. 372), 1850).

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Footnotes
1
The condenser as a substantial part of steam engine was patented by Watt in 1769.
 
2
Degree of conversion in the case of homogeneous reactions.
 
3
See Chap.​ 3 in this book.
 
4
The name is taken from Mats Hillert’s book [31].
 
5
The name is taken from Hillert [31].
 
Literature
1.
go back to reference Clapeyron E (1834) Puissance motrice de la chaleur. J l’École R Polytechnique Vingt-troisième cahier Tome XIV:153–190 Clapeyron E (1834) Puissance motrice de la chaleur. J l’École R Polytechnique Vingt-troisième cahier Tome XIV:153–190
2.
go back to reference Thomson W (1849) An account of Carnot’s theory of the motive power of heat – with numerical results deduced from Regnault’s experiments on steam. Transactions of the Royal Society of Edinburgh 16:541–574 Thomson W (1849) An account of Carnot’s theory of the motive power of heat – with numerical results deduced from Regnault’s experiments on steam. Transactions of the Royal Society of Edinburgh 16:541–574
3.
go back to reference Clausius R (1850) Über die bewegende Kraft der Wärme und die Gesetze, welche sich daraus für die Wärmelehre selbst ableiten lassen. Pogg Ann (Annalen der Physik) 79:368–397, 500–524 (S. 372) Clausius R (1850) Über die bewegende Kraft der Wärme und die Gesetze, welche sich daraus für die Wärmelehre selbst ableiten lassen. Pogg Ann (Annalen der Physik) 79:368–397, 500–524 (S. 372)
4.
go back to reference Cagniard de la Tour C (1822) Exposé de quelques résultats obtenus par l’action combinée de la chaleur et de la compression sur certains liquides, tels que l’eau, l’alcool, l’éther sulfurique et l’es-sence de pétrole rectifiée. Ann Chim Phys 21(1822):127–132, 178–182 Cagniard de la Tour C (1822) Exposé de quelques résultats obtenus par l’action combinée de la chaleur et de la compression sur certains liquides, tels que l’eau, l’alcool, l’éther sulfurique et l’es-sence de pétrole rectifiée. Ann Chim Phys 21(1822):127–132, 178–182
5.
go back to reference Andrews Thomas (1869) The Bakerian lecture: on the continuity of the gaseous and liquid states of matter. Philos Trans R Soc Lond 159:575–590CrossRef Andrews Thomas (1869) The Bakerian lecture: on the continuity of the gaseous and liquid states of matter. Philos Trans R Soc Lond 159:575–590CrossRef
6.
go back to reference van der Waals JD (1873) Over de Continuïteit van den Gas- en Vloeistoftoestand. Doctoral thesis, Leiden University. Reviewed by Maxwell JC (1874) van der Waals on the continuity of gaseous and liquid states. Nature (Lond) 10:477–480 van der Waals JD (1873) Over de Continuïteit van den Gas- en Vloeistoftoestand. Doctoral thesis, Leiden University. Reviewed by Maxwell JC (1874) van der Waals on the continuity of gaseous and liquid states. Nature (Lond) 10:477–480
7.
go back to reference Kipnis AY (2001) Early chemical thermodynamics: its duality embodied in van’t Hoff and Gibbs. In: Hornix WJ, Mannaerts SHWM (eds) van’t Hoff and the emergence of chemical thermodynamics. Delft University Press, Delft, pp 212–242; (a) Horstmann A (1869) Dampfspannung und Verdämfungswärme des Salmiaks. Berichte der deutschen chemischen Gesellschaft 2:137–140; (b) Horstmann A (1871) Zur Theorie der Dissociation. Ber 4:635–639; (c) Moutier J (1872) Sur la dissociation au point de vue de la thermodynamique. Comptes Rendus 72:759–762; (d) Guldberg CM (1872) Bidrag til Theorien for Dissociationen. Forhandlinger i Videnskabsselskabet i Christiania 14:136–143 Kipnis AY (2001) Early chemical thermodynamics: its duality embodied in van’t Hoff and Gibbs. In: Hornix WJ, Mannaerts SHWM (eds) van’t Hoff and the emergence of chemical thermodynamics. Delft University Press, Delft, pp 212–242; (a) Horstmann A (1869) Dampfspannung und Verdämfungswärme des Salmiaks. Berichte der deutschen chemischen Gesellschaft 2:137–140; (b) Horstmann A (1871) Zur Theorie der Dissociation. Ber 4:635–639; (c) Moutier J (1872) Sur la dissociation au point de vue de la thermodynamique. Comptes Rendus 72:759–762; (d) Guldberg CM (1872) Bidrag til Theorien for Dissociationen. Forhandlinger i Videnskabsselskabet i Christiania 14:136–143
8.
go back to reference Guldberg CM, Waage P (1864) Studier over affiniteten I. C. M. Forhandlinger i Videnskabs-Selskabet i Christiania, 35–45 Guldberg CM, Waage P (1864) Studier over affiniteten I. C. M. Forhandlinger i Videnskabs-Selskabet i Christiania, 35–45
9.
go back to reference Gibbs JW (1876–1878) On the equilibrium of heterogeneous substances. Transactions of the Connecticut Academy of Arts and Sciences 3:108–248 and 343–520. Reprinted (1948) in The collected works of J. Willard Gibbs, Vol. I, Yale University Press, New Haven, pp 55–353 Gibbs JW (1876–1878) On the equilibrium of heterogeneous substances. Transactions of the Connecticut Academy of Arts and Sciences 3:108–248 and 343–520. Reprinted (1948) in The collected works of J. Willard Gibbs, Vol. I, Yale University Press, New Haven, pp 55–353
10.
go back to reference Lewis GN (1907) Outlines of a new system of thermodynamic chemistry. Proc Am Acad 43:259; Z Phys Chem 61:129 Lewis GN (1907) Outlines of a new system of thermodynamic chemistry. Proc Am Acad 43:259; Z Phys Chem 61:129
11.
go back to reference Lewis GN (1908) Umriss eines neuen Systems der chemischen Thermodynamik. Z physikalische Chem 1908(61):129–165 Lewis GN (1908) Umriss eines neuen Systems der chemischen Thermodynamik. Z physikalische Chem 1908(61):129–165
12.
go back to reference Lewis GN, Randall M (1923) Thermodynamics and the free energy of chemical reactions. McGraw-Hill, New York Lewis GN, Randall M (1923) Thermodynamics and the free energy of chemical reactions. McGraw-Hill, New York
14.
go back to reference Bakhuis-Roozeboom HE (1900) Eisen und Stahl vom Standpunkte der Phasenlehre. Z Physikalische Chem 34:437–87 Bakhuis-Roozeboom HE (1900) Eisen und Stahl vom Standpunkte der Phasenlehre. Z Physikalische Chem 34:437–87
15.
go back to reference Bakhuis-Roozeboom HE (1901–1918) Die heterogenen Gleichgewichte vom Standpunkte der Phasenlehre, vol I (1901), vol II. Part 1 (1904), vol. II. Part 2 by Büchner EH (1918) vol II. Part 3. by Aten AHE (1918) vol III. Part 1 by Schreinemakers FAH (1911) and vol III. Part 2 by Schreinemakers FAH (1913) Braunschweig, 1901–18 Bakhuis-Roozeboom HE (1901–1918) Die heterogenen Gleichgewichte vom Standpunkte der Phasenlehre, vol I (1901), vol II. Part 1 (1904), vol. II. Part 2 by Büchner EH (1918) vol II. Part 3. by Aten AHE (1918) vol III. Part 1 by Schreinemakers FAH (1911) and vol III. Part 2 by Schreinemakers FAH (1913) Braunschweig, 1901–18
16.
go back to reference Schreinemakers FAH (1915–1925) In-, mono-, and divariant equilibria, Koninkl. Akad. Wetenschappen te Amsterdam Proceedings, English edition: vol 18–28 (29 separate articles in the series); (a) Schreinemakers FAH (1912–1925) Papers by Schreinemakers FA, 1, 2., 579 p. Pennsylvania State University, Pennsylvania (1965) Schreinemakers FAH (1915–1925) In-, mono-, and divariant equilibria, Koninkl. Akad. Wetenschappen te Amsterdam Proceedings, English edition: vol 18–28 (29 separate articles in the series); (a) Schreinemakers FAH (1912–1925) Papers by Schreinemakers FA, 1, 2., 579 p. Pennsylvania State University, Pennsylvania (1965)
17.
go back to reference Kamerlingh Onnes H (1911) The superconductivity of mercury. Communications from Physical Laboratory of the University of the Leiden, communications no. 122 and no. 124, 1911 Kamerlingh Onnes H (1911) The superconductivity of mercury. Communications from Physical Laboratory of the University of the Leiden, communications no. 122 and no. 124, 1911
18.
go back to reference Keesom,WH, de Haas,WJ (1932) Die Umwandlung flüssiges Helium I-Helium II unter Druck, 34. Verhandlingen der Koninklijke Akademie van Wetenschappen. Amsterdam, p 605; Communications from the Physical Laboratory of the University of Leiden, Communication No. 216b (1932) Keesom,WH, de Haas,WJ (1932) Die Umwandlung flüssiges Helium I-Helium II unter Druck, 34. Verhandlingen der Koninklijke Akademie van Wetenschappen. Amsterdam, p 605; Communications from the Physical Laboratory of the University of Leiden, Communication No. 216b (1932)
19.
go back to reference Ehrenfest P (1933) Phasenumwandlungen im ueblichen und erweiterten Sinn, classifiziert nach dem entsprechen-den Singularitaeten des thermodynamischen Potentiales, 36. Verhandlingen der Koninklijke Akademie van Wetenschappen. Amsterdam, pp 153–157; Communications from the Physical Laboratory of the University of Leiden, Supplement No. 75b (1933) Ehrenfest P (1933) Phasenumwandlungen im ueblichen und erweiterten Sinn, classifiziert nach dem entsprechen-den Singularitaeten des thermodynamischen Potentiales, 36. Verhandlingen der Koninklijke Akademie van Wetenschappen. Amsterdam, pp 153–157; Communications from the Physical Laboratory of the University of Leiden, Supplement No. 75b (1933)
20.
go back to reference Jaeger G (1998) The Ehrenfest classification of phase transitions: introduction and evolution. Arch Hist Exact Sci 53(1998):51–81CrossRef Jaeger G (1998) The Ehrenfest classification of phase transitions: introduction and evolution. Arch Hist Exact Sci 53(1998):51–81CrossRef
21.
go back to reference l’Hospital G de (1696) L’analyse des infiniment petits pour l’intelligence des lignes courbes, Paris, L’Imprimerie Royale l’Hospital G de (1696) L’analyse des infiniment petits pour l’intelligence des lignes courbes, Paris, L’Imprimerie Royale
22.
24.
go back to reference Pippard AB (1957) Elements of classical thermodynamics. Cambridge University Press, Cambridge Pippard AB (1957) Elements of classical thermodynamics. Cambridge University Press, Cambridge
25.
go back to reference Tisza L (1951) On the general theory of phase transitions. In: Smoluchowski R et al (eds) Phase transitions in solids (Symposium at Cornell University, August, 1948). Wiley, New York, pp 1–37; (a) Tisza L (1961) The thermodynamics of phase equilibrium. Ann Phys 13:1–92 Tisza L (1951) On the general theory of phase transitions. In: Smoluchowski R et al (eds) Phase transitions in solids (Symposium at Cornell University, August, 1948). Wiley, New York, pp 1–37; (a) Tisza L (1961) The thermodynamics of phase equilibrium. Ann Phys 13:1–92
26.
go back to reference Callen H (1960) Thermodynamics. Wiley, New York Callen H (1960) Thermodynamics. Wiley, New York
27.
go back to reference Holba P (1994) Thermodynamics and ceramic systems. In: Koller A (ed) Structure and properties of ceramic materials. Elsevier, Amsterdam, pp 17–113 Holba P (1994) Thermodynamics and ceramic systems. In: Koller A (ed) Structure and properties of ceramic materials. Elsevier, Amsterdam, pp 17–113
28.
go back to reference Holba P (1992) Thermodynamics of partially open systems. Czech J Phys B42(6):549–575CrossRef Holba P (1992) Thermodynamics of partially open systems. Czech J Phys B42(6):549–575CrossRef
29.
go back to reference Brown ME, Gallagher PK (eds) (2008) Handbook of thermal analysis and calorimetry, volume 5: Recent advances, techniques and applications. Elsevier, Amsterdam, pp 15–16 Brown ME, Gallagher PK (eds) (2008) Handbook of thermal analysis and calorimetry, volume 5: Recent advances, techniques and applications. Elsevier, Amsterdam, pp 15–16
30.
go back to reference Holba P, Šesták J (1972) Kinetics with regard to the equilibrium of processes studied by non-isothermal techniques. Z Physikalische Chem NF 80(1/2):1–20CrossRef Holba P, Šesták J (1972) Kinetics with regard to the equilibrium of processes studied by non-isothermal techniques. Z Physikalische Chem NF 80(1/2):1–20CrossRef
31.
go back to reference Hillert Mats (1998) Phase equilibria, phase diagrams and phase transformation. Their thermodynamic basis. Cambridge University Press, Cambridge Hillert Mats (1998) Phase equilibria, phase diagrams and phase transformation. Their thermodynamic basis. Cambridge University Press, Cambridge
32.
go back to reference Holba P (2009) New thermodynamic potentials and Clapeyron equations for condensed partly open systems. In: Šesták J (ed) Some thermodynamic, structural and behavioral aspects of solids accentuating amorphous materials. Publications of Westbohemian University, Plzeň Holba P (2009) New thermodynamic potentials and Clapeyron equations for condensed partly open systems. In: Šesták J (ed) Some thermodynamic, structural and behavioral aspects of solids accentuating amorphous materials. Publications of Westbohemian University, Plzeň
33.
go back to reference Holba P (2009) Částečně otevřené soustavy a termická analýza (Partly open systems and thermal analysis), L6. In: Proceedings of OSTA09, (Ostravian seminary on thermal analysis) Ostrava, 21–23 January 2009, ISBN 978-80-86238-63-0, http://katedry.osu.cz/kch/osta09/l6.pdf (In Czech) Holba P (2009) Částečně otevřené soustavy a termická analýza (Partly open systems and thermal analysis), L6. In: Proceedings of OSTA09, (Ostravian seminary on thermal analysis) Ostrava, 21–23 January 2009, ISBN 978-80-86238-63-0, http://​katedry.​osu.​cz/​kch/​osta09/​l6.​pdf (In Czech)
34.
go back to reference Legendre A-M (1794) Éléments de géométrie. Paris (12th edn: 1823) Legendre A-M (1794) Éléments de géométrie. Paris (12th edn: 1823)
Metadata
Title
Equilibrium Background of Processes Initiated by Heating and Ehrenfest’s Classification of Phase Transitions
Author
Pavel Holba
Copyright Year
2013
Publisher
Springer Netherlands
DOI
https://doi.org/10.1007/978-90-481-3150-1_2

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