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Difference between revisions of "Ferroics"

From Online Dictionary of Crystallography

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A term introduced by Aizu (Phys. Rev., '''B 2''', 754-772, 1970)  to describe materials that show switchable properties under an external stimulus. In particular the difference in free energy densities between two switched states of the material can be written in the form
+
A term introduced by Aizu (Phys. Rev., '''B 2''', 754-772, 1970)  to describe materials that show switchable properties under an external stimulus. In particular the difference in free energy densities between two switched states of the material can be written in the form:
  
  
<math>
 
-\Delta\Phi =\Delta P_iE_i+ \Delta M_iH_i+\Delta\varepsilon_{ij}\sigma_{ij}+
 
</math>
 
  
<math>
+
[[Image:DeltaPhi.png|550px|center]]<br>
\frac{1}{2}\Delta \kappa_{ij}E_iE_j+\frac{1}{2}\Delta \chi_{ij}H_iH_j+\frac{1}{2}\Delta s_{ijkl}\sigma_{ij}\sigma_{kl}+
 
</math>
 
  
<math>
 
\Delta \alpha_{ij}E_iH_i +\Delta d_{ijk}E_i\sigma_{jk}+\Delta Q_{ijk}H_i\sigma_{jk}+
 
</math>
 
 
<math>
 
\frac{1}{6}\Delta e_{ijk}E_iE_jE_k+\dots
 
</math>
 
  
 
where ''P'', ''M'' and ''ε'' are the electric polarization, magnetisation and strain, respectively; and ''E'', ''H'' and ''σ'' are the applied electric field, magnetic field and uniaxial stress. The first three terms in the series are known as '''primary''' ferroics, whilst the others are '''secondary''' ferroics. In order, these terms give rise to the following ferroics:
 
where ''P'', ''M'' and ''ε'' are the electric polarization, magnetisation and strain, respectively; and ''E'', ''H'' and ''σ'' are the applied electric field, magnetic field and uniaxial stress. The first three terms in the series are known as '''primary''' ferroics, whilst the others are '''secondary''' ferroics. In order, these terms give rise to the following ferroics:

Revision as of 20:02, 26 August 2014

Definition

A term introduced by Aizu (Phys. Rev., B 2, 754-772, 1970) to describe materials that show switchable properties under an external stimulus. In particular the difference in free energy densities between two switched states of the material can be written in the form:


DeltaPhi.png


where P, M and ε are the electric polarization, magnetisation and strain, respectively; and E, H and σ are the applied electric field, magnetic field and uniaxial stress. The first three terms in the series are known as primary ferroics, whilst the others are secondary ferroics. In order, these terms give rise to the following ferroics:

  • Ferroelectrics
  • Ferromagnets
  • Ferroelastics
  • Ferrobielectrics
  • Ferrobimagnets
  • Ferrobielastics
  • Ferromagnetoelectrics
  • Ferrorelastoelectrics (or piezoelectrics)
  • Ferromagnetoelastics
  • Ferrotrielectrics……

Today, the secondary ferroics with mixed fields are known as multiferroics, a term that tends to be used principally for ferromagnetoelectrics, the interest here being in the ability of these materials to change magnetisation under an applied electric field or to change electric polarisation under an applied magnetic field.

See also

A good review of the subject is given by Wadhawan, V.K. (Phase Trans., 3, 3-103, 1982).