SpringerLink
Log in

Structural Phase Transitions and Specific Heat Anomalies

  • Chapter
Physical Properties and Thermodynamic Behaviour of Minerals

Part of the book series: NATO ASI Series ((ASIC,volume 225))

Abstract

Precise measurements of the excess specific heat associated with structural phase transitions lead to determinations of the temperature evolution of thermodynamic order parameters. Experimental results are discussed within the scope of Landau-Ginzburg theory. The limitations of this theory are described, together with a survey of possible experimental methods for verifying the scaling relations based on specific heat measurements. Emphasis is placed on the discussion of possible influence of defects and secondary order parameters on the phase transition.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 245.03
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 320.99
Price includes VAT (Germany)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info
Hardcover Book
EUR 320.99
Price includes VAT (Germany)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  • Ahlers, G. and A. Kornblit, 1975, Phys. Rev. B 12, 1938–1946.

    Article  Google Scholar 

  • Aleksandrov, K. S. and I. N. Flerov, Sov. Phys. Solid State, 21, 195–200.

    Google Scholar 

  • Baloga, J. D. and C. W. Garland, 1977, Rev. Scientific Instruments, 48, 105.

    Article  Google Scholar 

  • Bartel, J. J. and E. F. Westrum, 1976, J. Chem. Thermodynamics, 8, 583–600.

    Article  Google Scholar 

  • Berlin, T. H. and M. Kac, 1952, Phys. Rev., 86, 821.

    Article  Google Scholar 

  • Bismayer, U., E. Salje, M. Glazer and X. Cosier, 1985, Phase Tran, 6, 126.

    Google Scholar 

  • Bismayer, U., E. Salje and C. Joffrin, 1982, J. Phys. (Paris) 43, 1379.

    Article  Google Scholar 

  • Bruce, A. D. and A. Aharony, 1974, Phys. Rev., B 10, 2078.

    Article  Google Scholar 

  • Bruce, A. D. and R. A. Cowley, 1981, Structural Phase Transitions, Taylor and Francis, London.

    Google Scholar 

  • Carslaw, H. S. and Jaeger, J. C. 1959, Conduction of Heat in Solids, (The Clarendon Press, Oxford).

    Google Scholar 

  • Devarajan, V. and E. Salje, 1984, J. Phys. C. 17, 5525–5537.

    Article  Google Scholar 

  • Ditmers, D. A. and T. B. Douglas, J. Res. A No. 5, 401–420.

    Google Scholar 

  • Dvorak, V. 1972, Phys. Stat Solidi, 52, 93–98.

    Article  Google Scholar 

  • Fisher, M. E. and A. Aharony, Phys. Rev. Lett., 30, 559.

    Google Scholar 

  • Garland, C. W. 1964, J. Chem. Phys., 41, 1005.

    Article  Google Scholar 

  • Garland, C. W. and J. D. Baloga, 1977, Phys. Rev. B 16, 331–339.

    Google Scholar 

  • Ginnings, D. C. and G. T. Furukawa, 1953, J. Am. Chem. Soc, 75, 522.

    Article  Google Scholar 

  • Granato, A. V. and T. G. Nilan, 1965, Phys. Rev., 137, 1250.

    Article  Google Scholar 

  • Hatta, I, and A. J. Ikushima, 1981, Japan Journal of Applied Physics, 20, 195–201.

    Article  Google Scholar 

  • Hatta, I., Y. Shiroishi, K. A. Mueller and W. Berlinger, 1977, Phys. Rev. B 16, 1138–1145.

    Article  Google Scholar 

  • Imry, Y. 1975, J. Phys. C. 8, 567.

    Article  Google Scholar 

  • Imry, Y. and S. Ma, 1975, Phys. Rev. Lett., 35, 1399.

    Article  Google Scholar 

  • Iwata, T. and T. Nihira, 1976, J. Phys. Soc. Japan, 15, 575.

    Article  Google Scholar 

  • Janovec, V. 1966, J. Chem. Phys., 45, 1874.

    Article  Google Scholar 

  • Kerr, H. V., D. L. Dickerson, H. Kuwamoto, H. L. C. Barros and J. M. Honig, 1976, J. Solid State Chem., 19, 95–102.

    Article  Google Scholar 

  • Kraftmakher, Y. A. 1962, Zh. Prikl. Mekh. & Tekh. Fiz., 5, 176.

    Google Scholar 

  • Landau, L. D. and E. M. Lifshitz, 1980, Statistical Physics, Pergamon.

    Google Scholar 

  • Larkin, A. I. and S. A. Pikin, 1969, Soc. Phys. JETP, 29, 891–896.

    Google Scholar 

  • Ledermann, F. L., M. B. Salamon and L. W. Shacklette, 1974, Phys. Rev. B 9, 2981–2988.

    Article  Google Scholar 

  • Levanyuk, A. P. 1963, see L. D. Landau and E. M. Lifshitz, 1980, Statistical Physics, Vol. 5, Pergamon Press, 3rd. Edition, p.482.

    Google Scholar 

  • Levanyuk, A. P., V. V. Osipov, A. S. Sigov and A. A. Sogyanin, 1979, Sov. Phys. JETP, 49, 176–188.

    Google Scholar 

  • Levanyuk, A. P., A. S. Sigov and A. A. Sobyanin, 1980, Ferroelectrics, 24, 61–66.

    Article  Google Scholar 

  • Levanyuk, A. P. and A. A. Sobyanin, 1970, ZhETF Pis. Red 11, 540–543.

    Google Scholar 

  • Lopez-Echarri, A., M. J. Tello and P. Gilli, 1980, Solid State Commun., 36, 1021.

    Article  Google Scholar 

  • Lubensky, T. C. 1975, Phys. Rev., B 11, 3573.

    Article  Google Scholar 

  • Meissner, G., L. Lasvari and B. Tadic, 1986, Phys. Rev. B 34, 350.

    Article  Google Scholar 

  • Chaudhuri, B. K., K. Nomoto, T. Ataka and H. Chihara, 1980, Phys. Lett., A 79, 361.

    Article  Google Scholar 

  • Cheung, K. M. and F. G. Ullmann, 1974, Phys. Rev., B 10, 4760–4764.

    Article  Google Scholar 

  • Egorov, V. M., S. Kh. Esayan, V. V. Lemanov and T. M. Polkhovskaya, 1981, Sov. Phys. Sol. State, 23, 1455–1457.

    Google Scholar 

  • Ema, K., K. Hamano, K. Hurihara and I. Hatta, 1977, Journ. Phys. Soc. of Japan, 43, 1954–1961.

    Article  Google Scholar 

  • Ginnings, D. C. and G. T. Furukawa, 1953, J. Am. Chem. Soc., 75, 522.

    Article  Google Scholar 

  • Hatta, I. and A. Ikushima, 1976, Journ. Phys. Soc. of Japan, 41, 558–564.

    Article  Google Scholar 

  • Helwig, J. 1976, Ferroelectrics, 11, 471–477.

    Article  Google Scholar 

  • Helwig, J., J. Peterson and E. Schneider, 1977, Z. Phys., B 28, 87.

    Article  Google Scholar 

  • Lopez Echarri, A. and M. J. Tello, 1981, J. Phys., D 14, 71–77.

    Article  Google Scholar 

  • Matsuo, T., M. Oguni, H. Suga and S. Seki, 1973, Proc. Japan, Acad., 49, 196.

    Google Scholar 

  • O’Neill, M. J. O. 1966, Anal. Chem., 38, 1331.

    Article  Google Scholar 

  • Perez Jubindo, M. A., A. Lopez Echarri and M. J. Tello, 1981, Ferroelectrics, 39, 1171.

    Article  Google Scholar 

  • Reese, M. and L. F. May, 1972, Ferroelectrics, 4, 65.

    Article  Google Scholar 

  • Stokka, S. and K. Fossheim, 1981, Phys. Rev., B 24, 2807–2811.

    Article  Google Scholar 

  • Strukov, B. A., S. A. Traskin and V. M. Varikash, 1968, Sov. Phys. Sol. State, 10, 1445.

    Google Scholar 

  • Taraskin, S. A. 1970, Sov. Phys. Sol. State, 12, 1443.

    Google Scholar 

  • Taraskin, S. A., B. A. Strukov and V. A. Maleshina, 1970, Sov. Phys. Sol. State, 12, 1089.

    Google Scholar 

  • Yoshida, H., H. Takemasa, Y. Oshino and Y. Makita, 1984, Journ. Phys. Soc. of Japan, 53, 2600–2605.

    Article  Google Scholar 

References for structural phase transitions -

  • Barta, Ch., B. S. Zadokhin, Yu. F. Markov and V. V. Tikhonov, 1977, Sov. Phys. Sol. State, 19, 1292–1293.

    Google Scholar 

  • Bartel, J. J. 1976, J. Chem. Thermodynam., 8, 583.

    Article  Google Scholar 

  • Chihara, H. and K. Masukane, 1973, Journ. Chem. Phys., 59, 5397–5403.

    Article  Google Scholar 

  • Cullen, J. R. and E. Callen, 1971, Phys. Rev. Lett., 26, 236.

    Article  Google Scholar 

  • Davidovich, R. L., P. S. Gordienko, J. Griggs, T. A. Kaudalova, U. Urbonavicius and L. A. Zemnukhova, 1984, Phys. Stat. Sol., A 84, 387–392.

    Article  Google Scholar 

  • Dormann, J. L., C. Djega-Mariadassou and V. A. M. Brabers, 1982, Proc. ICAME (New Delhi, Indian Nat. Sci. Acad.), p.196.

    Google Scholar 

  • Evans, B. J. and E. F. Westrum, 1972, Phys. Rev., B 5, 3791.

    Article  Google Scholar 

  • Falk, B. G., L. Pan, B. J. Evans and E. F. Westrum, 1979, J. Chem. Thermodynamics, 11, 367.

    Article  Google Scholar 

  • Flerov, I. N. 1976, Sov. Phys. Sol. State, 18, 487–488.

    Google Scholar 

  • Gorechi, T. 1978, Z. Metallkunde, 69, 782–783.

    Google Scholar 

  • Gronvold, F. J. 1973, J. Chem. Thermodynamics, 5, 545.

    Article  Google Scholar 

  • Gronvold, F. J. 1976, J. Chem. Thermodynamics, 8, 757–775.

    Article  Google Scholar 

  • Hatta, I. and W. Rehwald, 1977, J. Phys. C. 10, 2075–2081.

    Article  Google Scholar 

  • Heibel, R. and H. Wollenberger, 1976, Scripta Metallurgica, 10, 945–947.

    Article  Google Scholar 

  • Heibel, R. and H. Wollenberger, 1978, J. of Less Common Metals, 57, 177–183.

    Article  Google Scholar 

  • Iizusi, M., Y. Hamaguchi, K. F. Komatsubara and Y. Kato, 1975, J. Phys. Soc. Japan, 38, 443–449.

    Article  Google Scholar 

  • Imai, K., M. Sato and Y. Abe, 1974, J. Electrochem. Soc, Solid State Sci. and Technology, 121, 1674–1676.

    Google Scholar 

  • Inaba, H., H. Shimizu and K. Naito, 1977, Journ. of Nuclear Materials, 64, 66–70.

    Article  Google Scholar 

  • Janik, J. M., M. Rachwalsky and J. A. Janik, 1974, Physica, 72, 168–178.

    Article  Google Scholar 

  • Jewess, M., S. Lee-Bechtold and L. A. K. Stavely, 1980, J. C. S. Faraday, 76., 803–811.

    Google Scholar 

  • Kamilov, I. K., G. G. Musaev and G. M. Shakhsaev, 1975, Sov. Phys. Dokl., 20, 121.

    Google Scholar 

  • Kiriyama, H., K. Kiriyama, O. Nakasura and R. Kiriyama, 1973, Bull. Chem. Soc. Japan, 46, 1389.

    Article  Google Scholar 

  • Knapp, G., S. Knapp, S. D. Bader, H. V. Culbert, F. Y. Fradin and T. E. Klippert, Phys. Rev., B11, 4331–4338.

    Google Scholar 

  • Kobayashi, K. L., Y. Kato, Y. Katayama and K. F. Komatsubara, 1976, Phys. Rev. Lett., 37, 772–774.

    Article  Google Scholar 

  • Leadbetter, A. J. and T. W. Smith, 1976, Phil. Mag., 33, 113–119.

    Article  Google Scholar 

  • Matsuo, T., M. Tatsumi, H. Suga and S. seki, 1973, Sol. State. Comm., 13, 1829–1831.

    Article  Google Scholar 

  • Matsuo, T., S. Todo and S. Chikazumi, 1977, J. Phys. Soc. Japan, 42, 15–17.

    Google Scholar 

  • Nelson, D. R. and E. Domany, 1976, Phys. Rev. B 13, 236–250.

    Article  Google Scholar 

  • Novotny, V., C. A. Martin, R. L. Armstrong and P. P. Meincke, 1977, Phys. Rev. B 15, 382–389.

    Article  Google Scholar 

  • Orehotsky, J. and K. Schroeder, 1974, J. Phys. F 4, 196–201.

    Article  Google Scholar 

  • Rigo, M. O. and J. Kleinclauss, 1980, Phil. Mag., 42, 393.

    Article  Google Scholar 

  • Rigo, M. O., J. Kleinclauss and A. J. Pointon, 1978, Solid State Comm., 28, 1013.

    Article  Google Scholar 

  • Rigo, M. O., J. F. Mareche and V. A. M. Brabers, 1983, Phil. Mag. B 48, 421–430.

    Google Scholar 

  • Sullivan, P. and G. Seidel, 1968, Phys. Rev., 173, 679.

    Article  Google Scholar 

  • Suzuki, T. and M. Hagiwara, 1975, Trans. JIM, 16, 473–479.

    Google Scholar 

  • Todo, S. and Chikazumi, 1977, J. Phys. Soc. Japan, 43, 1091.

    Article  Google Scholar 

  • Umenura, S. and S. Iida, 1976, J. Phys. Soc. Japan, 40, 679.

    Article  Google Scholar 

  • Urban, S., Z. Tomkovicz, J. Mayer and T. Waluga, Acta Physica Polonica, A 48, 61–67.

    Google Scholar 

  • Westrum, E. F. and J. F. Gronvold, 1969, J. Chem. Thermodynamics 1, 543.

    Article  Google Scholar 

  • Westrum, E. F. and S. Henriquez, 1976, Mol. Cryst. Liq. Cryst. 32, 31–35.

    Article  Google Scholar 

References for charge carrier induced structural phase transitions -

References for experimental methods -

  • Buckingham, M. J., C. Edwards and J. Lipa, 1973, Rev. Sci. Instruments, 44, 1167–1172.

    Article  Google Scholar 

  • Gmelin, E. and P. Roedhammer, 1981, J. Phys. Rev., 15, 778–789.

    Google Scholar 

  • Lancaster, P. C. amd D. P. Baker, 1981, J. Phys. E 14, 805–809.

    Article  Google Scholar 

  • Lippa, J. A., C. Edwards and M. J. Buckingham, 1977, Phys. Rev., 15, 778–789.

    Article  Google Scholar 

  • Wuerz, U. and M. Grubic, 1980, J. Phys., E 13, 525–529.

    Article  Google Scholar 

References for ferroelectrics -

  • Barth, E., J. Helwig, H. D. Maier, H. E. Muser and J. Peterson, 1979, Z. Phys., B 34, 393–397.

    Article  Google Scholar 

  • Chaudhuri, B. K., T. Atake and H. Chihara, 1981, Solid State Comm., 38, 927–930.

    Article  Google Scholar 

  • Kapustkin, V. K., E. D. Pletneva and V. L. Volkov, 1977, Sov. Phys. Sol. State, 19, 429–431.

    Google Scholar 

  • Kristoffel, N. and P. Konsin, 1973, Ferroelectrics, 6, 3.

    Article  Google Scholar 

  • Lakkis, S., C. Schlenker, B. K. Chakraverty and R. Buder, 1976, Phys. Rev. B 14, 1429–1440.

    Google Scholar 

  • Marezio, M., D. Tranqui, S. Lakkis and C. Schlenker, 1977, Phys. Rev. B 16, 2811–2821.

    Article  Google Scholar 

  • Mattheis, L. F. 1973, Phys. Rev. B 8, 3719.

    Article  Google Scholar 

  • McMillan, W. L. 1977, Phys. Rev. B 16, 643.

    Article  Google Scholar 

  • McMillan, W. L. 1981, Phys. Rev. B 24., 2739.

    Google Scholar 

  • Moncton, D. E., J. D. Axe and F. J. DiSalvo, 1975, Phys. Rev. Lett., 34, 734.

    Article  Google Scholar 

  • Mott, N. F. 1974, Metal-Insulator Transitions (Taylor and Francis, London, 1974).

    Google Scholar 

  • Rehwald, W. and G. K. Lang, 1975, J. Phys. Chem., 8, 3287.

    Google Scholar 

  • Rice, T. M. and G. K. Scott, 1975, Phys. Rev. Lett., 35, 120.

    Article  Google Scholar 

  • Salje, E. and B. Guettler, 1984, Phil. Mag. B 50, 607–620.

    Article  Google Scholar 

  • Schirmer, O. F. and E. Salje, 1980, a) Sol. State. Comm., 33, 333

    Article  Google Scholar 

  • Schirmer, O. F. and E. Salje, 1980, b) J. Phys. Chem., 13, L1067.

    Google Scholar 

  • Schlenker, C. and M. Marezio, 1980, Phil. Mag., B 42, 453–472.

    Google Scholar 

  • Slonczewski, J. C. and H. Thomas, 1970, Phys. Rev., B 1, 3599.

    Article  Google Scholar 

  • Sugimoto, N., T. Matsuda and I. Hatta, 1981, J. Phys. Soc. Japan, 50, 1555–1559.

    Article  Google Scholar 

  • Surikov, V. I., S. V. Danilov and V. I. Surikov, 1983, Sov. Phys. Sol. State, 25, 909–910.

    Google Scholar 

  • Surikov, V. I., I. I. Miller, E. M. Yarosh, V. I. Surikov and N. E. Kondrat’eva, 1979, Sov. Phys. Sol. State, 21, 1069–1070.

    Google Scholar 

  • Wilson, J. A., F. J. DiSalvo and S. Mahajan, 1975, Adv. Phys., 24., 117.

    Article  Google Scholar 

  • Wilson, J. A. and A. D. Yoffe, 1969, Adv. Phys., 18, 193.

    Article  Google Scholar 

  • Yoffe, A. D. L976, Chem. Soc. Rev., 5,51.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Earth Sciences, University of Cambridge, Cambridge, CB2 3EQ, England

    Ekhard Salje

Authors
  1. Ekhard Salje
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Earth Sciences, University of Cambridge, UK

    Ekhard K. H. Salje

Rights and permissions

Reprints and permissions

Copyright information

© 1988 D. Reidel Publishing Company

About this chapter

Cite this chapter

Salje, E. (1988). Structural Phase Transitions and Specific Heat Anomalies. In: Salje, E.K.H. (eds) Physical Properties and Thermodynamic Behaviour of Minerals. NATO ASI Series, vol 225. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2891-6_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-2891-6_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7802-3

  • Online ISBN: 978-94-009-2891-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation