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arXiv 1509.04460cond-mat.mtrl-sci
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多组分互扩散的伪二元方法

A pseudobinary approach in multicomponent interdiffusion

Aloke Paul

摘要:

随着系统中元素数量的增加,互扩散研究变得越来越困难。计算二元系互扩散区各组分的互扩散系数是相当容易的。计算了二元系统Kirkendall标记面组成的内禀扩散系数。然而,在三元体系中,只能计算来自两个不同扩散偶的组成曲线相交的组成的互扩散系数。当Kirkendall标记物也存在于该组合物中时,可以计算固有扩散系数,这是通常难以满足的条件。在四元系统中,三个不同扩散偶的组成分布必须在一个特定组成处相交以计算扩散参数,这是几乎不可能满足的条件。为了避免这些复杂的多组分系统,平均互扩散系数的计算。提出了一种计算多组分体系内禀扩散系数和互扩散系数变化的方法。该方法可用于多组分伪二元系中的单扩散偶。扩散偶的端部构件的组成应选择成使得仅两种元素扩散到相互扩散区中。几个假设的扩散耦合被认为是为了验证和解释我们的方法。各种来源的计算误差进行了讨论。

英文摘要:

Interdiffusion studies become increasingly difficult to perform with the increasing number of elements in a system. It is rather easy to calculate the interdiffusion coefficients for all the compositions in the interdiffusion zone in a binary system. The intrinsic diffusion coefficients can be calculated for the composition of Kirkendall marker plane in a binary system. In a ternary system, however, the interdiffusion coefficients can only be calculated for the composition where composition profiles from two different diffusion couples intersect. Intrinsic diffusion coefficients are possible to calculate when the Kirkendall markers are also present at that composition, which is a condition that is generally difficult to satisfy. In a quaternary system, the composition profiles for three different diffusion couples must intersect at one particular composition to calculate the diffusion parameters, which is a condition that is almost impossible to satisfy. To avoid these complications in a multicomponent system, the average interdiffusion coefficients are calculated. I propose a method of calculating the intrinsic diffusion coefficients and the variation in the interdiffusion coefficients for multicomponent systems. This method can be used for a single diffusion couple in a multicomponent pseudobinary system. The compositions of the end members of a diffusion couple should be selected such that only two elements diffuse into the interdiffusion zone. A few hypothetical diffusion couples are considered in order to validate and explain our method. Various sources of error in the calculations are also discussed.

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