Get Phase Transitions in Ferroelastic and Co-elastic Crystals PDF

By E. K. Salje

ISBN-10: 0511586469

ISBN-13: 9780511586460

ISBN-10: 0521384494

ISBN-13: 9780521384490

Many fabrics utilized in are crystals. those crystals frequently express anomalies, corresponding to surprising softening or embrittlement at convinced temperatures. If managed, such habit could be super worthwhile, for production and high-technology functions. this can be one of many first books to explain the lately decided actual origins of such habit, and gives an perception into the $64000 thermodynamic rules and microstructural houses concerned. It begins with the elemental rules of structural part transitions in fabrics. Ferroelasticity, twinning and similar microstructures are then defined. Landau-type theories of section transitions are brought, including info of elastic and particular warmth anomalies, the formation of spontaneous pressure, and the iteration of solitary waves at temperatures with regards to the transition point

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Additional info for Phase Transitions in Ferroelastic and Co-elastic Crystals

Example text

13 has been generalized by Slonczewski and Thomas (1970) for the interaction of several order parameters Q m and arbitrary coupling. 1 Influence of the structural phase transition on the elastic stiffness Ce = ± (Cn-Ci2) for Nb3Sn (after Rehwald et al. 1972). The elastic softening at Tc=50K can clearly be seen. 18 where the mixed derivatives of G indicate the coupling force constants and the second derivative of L is again the susceptibility of the Landau potential in the order parameter space.

If no two of the possible states S i , S2, in the low-symmetry form have all their corresponding non-zero components of (e s )i, sjk, djk or qjk identical, then the crystal is c a l l e d full ferroelastic, ferrobielastic, ferroelastoelectric or ferromagnetoelastic, respectively (Wadhawan 1982). In all other cases the adjective partial is used. For the definition of other, non co-elastic, higher order ferroics, see the review of Wadhawan (1982). Equivalent definitions exist for electric ferroics in which the strain is replaced by the dipole moment.

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. Since then it has been found useful to expand this definition to all structural phase transitions which lead to a variation of the shape of the crystallographic unit cell, in particular for co-elastic materials. g. Wadhawan 1982). The most common procedure for the experimental determination of spontaneous strain is to measure the temperature evolution of the lattice parameters using X-ray or neutron powder diffraction.

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Phase Transitions in Ferroelastic and Co-elastic Crystals by E. K. Salje

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