Table 1 Predictions of the descriptor compared with DFT results

From: Anomalous diffusion along metal/ceramic interfaces

 

DFT

Descriptor

 

\(\normalsize E_{\mathrm{f}}^{{\mathrm{V}}_{\mathrm{m}}^ \times }(0)\) (eV)

\(\normalsize E_{\mathrm{f}}^{{\mathrm{V}}_{\mathrm{m}}^ \times }(\infty )\) (eV)

\(\large {\textstyle{{E_{\mathrm{f}}^{{\mathrm{V}}_{\mathrm{m}}^ \times }(0)} \over {E_{\mathrm{f}}^{{\mathrm{V}}_{\mathrm{m}}^ \times }(\infty )}}}\)

\(\large \frac{{W_{{\mathrm{ad}}}}}{{\gamma _{\mathrm{m}}}}\)

Ni

0.85

1.25

0.68

0.62

Cu

0.25

0.56

0.45

0.37

Ti

2.00

2.19

0.91

0.94

  1. Vacancy formation energies of Ni, Cu, and Ti at their interfaces with sapphire and in their bulk strained states, their ratio and the prediction as per Eq. (1) from refs 47,48,49