Table I.
Parameter | Name | Units | Value |
---|---|---|---|
Annular TSV inner radius | Ri | m | 4 × 10−6 |
Annular TSV outer radius | Ro | m | 9.5 × 10−6 |
Simulation cell radius | Rc | m | 23 × 10−6 |
TSV height | h | m | 56 × 10−6 |
Diffusion coefficient, suppressor | DPEI | m2/s | 9.2 × 10−11 |
Diffusion coefficient,29 Ni2+ | DNi | m2/s | 6.6 × 10−10 |
Bulk concentration, Ni2+ | mol/m3 | 1200 | |
Boundary layer thickness for rotation rate ω = 200π rad/min (100 rpm) | δ | m | 23 × 10−6 |
Saturation suppressor coverage | Γ | mol/m2 | 2.5 × 10−7 |
Suppressor adsorption kinetics | k+ | m3/mol · s | 1 × 104 |
Suppressor burial kinetics | k− | 1/m | 3 × 108 |
Unsuppressed Ni exchange rate constant | A/m2 | 1.3 × 10−2 | |
Suppressed Ni exchange rate constant | A/m2 | 5.0 × 10−4 | |
Unsuppressed Ni charge transfer coefficient | α0 | - | 0.4 |
Suppressed Ni charge transfer coefficient | α1 | - | 0.4 |
Ni ionic charge | n | - | 2 |
Ni molar volume | Ω | m3/mol | 6.59 × 10−6 |