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Concentration fluctuations and thermodynamic properties of ternary liquid alloys

机译:三元液态合金的浓度波动和热力学性质

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摘要

We have reformulated the complex formation model of Bhatia and Hargrove [Phys.Rev.B10 (1974) 3186] such that the extension makes it possible for us to explain the thermodynamic properties of compound forming ternary liquid alloys. The results obtained for the concentration-concentration fluctuations can be used to compute the Warren Cowley short-range order parameter for the same alloy. We make the assumption that a ternary liquid alloy consisting of A, B and C atoms forms complexes A_iB_j, A_kC_l, B_u C_v and A_a B_b C_c. Based on this assumption, analytic expressions are derived for such thermodynamic quantities as the free energy of mixing G_M, enthalpy of mixing H_M, the concentration-concentration fluctuations in the long wavelength limit S_(c_mc_n)) (0) (m, n-1,2) and the activity, a_i using the Flory approximation. We solve the derived expressions and thus obtain numerical results for the concentration dependence of these thermodynamic quantities for the ternary liquid Al-Cu-Zr alloys. Finally, a critical discourse of results obtained are given with a view to highlight the information that can be obtained from and limitations of our theoretical model.
机译:我们已经重新制定了Bhatia和Hargrove的复杂形成模型[Phys.Rev.B10(1974)3186],这样扩展使得我们可以解释形成三元液态合金的化合物的热力学性质。浓度-浓度波动获得的结果可用于计算同一合金的Warren Cowley短程有序参数。我们假设由A,B和C原子组成的三元液态合金形成配合物A_iB_j,A_kC_1,B_u C_v和A_a B_b C_c。基于该假设,导出了热力学量的解析表达式,例如混合的自由能G_M,混合的焓H_M,长波长范围S_(c_mc_n)的浓度-浓度波动(0)(m,n-1 ,2)和活动,使用Flory近似a_i。我们求解导出的表达式,从而获得有关三元液态Al-Cu-Zr合金这些热力学量的浓度依赖性的数值结果。最后,给出了关于结果的批判性论述,以强调可以从我们的理论模型中获得的信息和局限性。

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