Diffusivity and derivatives for interstitial solutes: activation energy, volume, and elastodiffusion tensors

Diffusivity and derivatives for interstitial solutes: activation energy, volume, and elastodiffusion tensors
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间隙溶质的扩散率和导数:活化能、体积和弹性扩散张量

DOI:
10.1080/14786435.2016.1212175
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发表时间:
2016
影响因子:
1.6
通讯作者:
Trinkle, Dallas R.
Trinkle, Dallas R.
中科院分区:
材料科学3区
文献类型:
--
作者:
Trinkle, Dallas R.

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Computational atomic-scale methods continue to provide new information about geometry, energetics and transition states for interstitial elements in crystalline lattices. This data can be used to determine the diffusivity of interstitials by finding steady-state solutions to the master equation. In addition, atomic-scale computations can provide not just the site energy, but also the stress in the cell due to the introduction of the defect to compute the elastic dipole. We derive a general expression for the fully anistropic diffusivity tensor from site and transition state energies, and three derivatives of the diffusivity: the elastodiffusion tensor (derivative of diffusivity with respect to strain), the activation barrier tensor (logarithmic derivative of diffusivity with respect to inverse temperature) and activation volume tensor (logarithmic derivative of diffusivity with respect to pressure). Computation of these quantities takes advantage of crystalline symmetry, and we provide an open-source implementation of the algorithm. We provide analytic results for octahedral–tetrahedral networks in face-centred cubic, body-centred cubic, hexagonal closed-packed lattices, and conclude with numerical results for C in Fe.
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