Skip to main content Accessibility help
×
Hostname: page-component-7479d7b7d-c9gpj Total loading time: 0 Render date: 2024-07-11T15:29:57.947Z Has data issue: false hasContentIssue false

4 - The spontaneous strain

Published online by Cambridge University Press:  03 May 2011

E. K. Salje
Affiliation:
University of Cambridge
Get access

Summary

The central physical feature of ferroelastic and co-elastic crystals is their lattice distortion which is described by the ‘spontaneous strain’. It is essential that the reader can deal with this quantity.

The order parameter and the Landau potential have been introduced in a fairly general manner without any restriction on ferroelastic or co-elastic phase transitions. The structural meaning of the order parameter Q can be related to the softening of an acoustic mode, an optical soft mode, an orientational ordering process, a cation exchange process or any other structural feature which is correlated with the phase transition. In order to make the phase transition ferroelastic or co-elastic, it is necessary that the transition mechanism changes the shape of the crystal in order to create a macroscopic spontaneous strain. We have seen that this macroscopic spontaneous strain is strongly influenced by the domain structure of the crystal. Although the domain effects are relevant to the macroscopic appearance of the mineral, they often do not contribute enough energy towards the total Gibbs free energy to influence the transition mechanism significantly. If microstructures are ignored as a first approximation, we can replace the macroscopic spontaneous strain by the structural spontaneous strain which is usually simply called the spontaneous strain. We shall come back to the question of microstructures in Chapter 7. This quantity is measured as the volume average of the structural deformation of the unit cell; its analytical form was first introduced by Aizu (1970) for ferroelastic systems.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • The spontaneous strain
  • E. K. Salje, University of Cambridge
  • Book: Phase Transitions in Ferroelastic and Co-elastic Crystals
  • Online publication: 03 May 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511586460.007
Available formats
×

Save book to Dropbox

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 Dropbox.

  • The spontaneous strain
  • E. K. Salje, University of Cambridge
  • Book: Phase Transitions in Ferroelastic and Co-elastic Crystals
  • Online publication: 03 May 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511586460.007
Available formats
×

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.

  • The spontaneous strain
  • E. K. Salje, University of Cambridge
  • Book: Phase Transitions in Ferroelastic and Co-elastic Crystals
  • Online publication: 03 May 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511586460.007
Available formats
×