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4 - Phase transitions

Published online by Cambridge University Press:  06 January 2010

C. N. R. Rao
Affiliation:
Indian Institute of Science, Bangalore
J. Gopalakrishnan
Affiliation:
Indian Institute of Science, Bangalore
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Summary

Introduction

Many solids undergo transformations from one crystal structure to another as the temperature or pressure is varied and this phenomenon is popularly referred to as polymorphism. Whereas polymorphism normally refers to phase transitions involving changes in the atomic configurations in crystals, there are also transitions where the electronic or spin configuration undergoes changes. The subject of phase transitions is not only of great academic interest but also of technological importance. Phase transitions are exhibited by a wide variety of systems (Table 4.1) from simple metals and alloys to complex inorganic and organic materials. The subject has grown enormously in the last two decades with new types of transitions as well as new approaches to explain the phenomena. Traditionally, the subject has been of vital concern to metallurgists (Porter & Easterling, 1981) but there are many aspects of great importance to solid state chemistry (Rao, 1984). Varied aspects of phase transitions such as critical phenomena, soft modes, mechanisms and changes in properties at phase transitions have been treated in a unified manner by Rao & Rao (1978). We shall deal with some highlights of the subject and examine some classes of transitions in this chapter.

Thermodynamics

During a phase transition at the equilibrium temperature, the free energy of the solid remains continuous, but thermodynamic quantities like entropy, volume and heat capacity undergo discontinuous changes. Depending on which derivative of the Gibbs free energy shows a discontinuous change at the transition, phase transitions have been classified as first-order, second-order and so on.

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Publisher: Cambridge University Press
Print publication year: 1997

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  • Phase transitions
  • C. N. R. Rao, Indian Institute of Science, Bangalore, J. Gopalakrishnan, Indian Institute of Science, Bangalore
  • Book: New Directions in Solid State Chemistry
  • Online publication: 06 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511623141.006
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  • Phase transitions
  • C. N. R. Rao, Indian Institute of Science, Bangalore, J. Gopalakrishnan, Indian Institute of Science, Bangalore
  • Book: New Directions in Solid State Chemistry
  • Online publication: 06 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511623141.006
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Phase transitions
  • C. N. R. Rao, Indian Institute of Science, Bangalore, J. Gopalakrishnan, Indian Institute of Science, Bangalore
  • Book: New Directions in Solid State Chemistry
  • Online publication: 06 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511623141.006
Available formats
×