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  • 1
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Solid state phenomena Vol. 138 (Mar. 2008), p. 283-302 
    ISSN: 1662-9779
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Physics
    Notes: Using the self-consistent field approximation, the static concentration waves approachand the Onsager-type kinetics equations, the descriptions of both the statistical thermodynamics andthe kinetics of an atomic ordering of D019 phase are developed and applied for h.c.p.-Ti–Al alloy.The model of order–disorder phase transformation describes the phase transformation of h.c.p. solidsolution into the D019 phase. Interatomic-interaction parameters are estimated for bothapproximations: one supposes temperature-independent interatomic-interaction parameters, whilethe other one includes the temperature dependence of interchange energies for Ti–Al alloy. Thepartial Ti–Al phase diagrams (equilibrium compositions of the coexistent ordered α2-phase anddisordered α-phase) are evaluated for both cases. The equation for the time dependence of D019-type long-range order (LRO) parameter is analyzed. The curves (showing the LRO parameterevolution) are obtained numerically for both temperature-independent interaction energies andtemperature-dependent ones. Temperature dependence of the interatomic-interaction energiesaccelerates the LRO relaxation and diminishes a spread of the values of instantaneous andequilibrium LRO parameters versus the temperature. Both statistical-thermodynamics and kineticsresults show that equilibrium LRO parameter for a non-stoichiometry (where an atomic fraction ofalloying component is more than 0.25) can be higher than for a stoichiometry at high temperatures.The experimental phase diagram confirms the predicted (ordered or disordered) states for h.c.p.-Ti–Al
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1662-9779
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Physics
    Notes: Using both the statistical-thermodynamics methods within the scope of the selfconsistentfield approximation and the diffraction data on coherent (or diffuse) scattering of X-rays(or thermal neutrons) from (dis)ordered f.c.c.-Ni–Fe alloys of various compositions, the estimationof interatomic interactions (including their magnetic contribution) and their temperature–concentration dependences were obtained. Based on the static concentration-wave representation,the expressions for configuration free energies of L12-Ni3Fe-type permalloy, L10-NiFe-type elinvarand L12-Fe3Ni-type invar were analyzed, considering explicit expressions for configuration entropiesof atomic and magnetic subsystems with their configuration internal energies. Phase diagramof a system at issue was plotted within the field of the presence of f.c.c.-Ni–Fe alloys; their phaseboundaries, equilibrium (static) properties near critical points (order parameter, etc.), and possiblemicrostructures developed by composition-controlled magnetic transitions and/or order–disorderconstant-composition solid–solid phase transformations were discussed. The obtained results werecompared with available experimental data
    Type of Medium: Electronic Resource
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