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. Author manuscript; available in PMC: 2020 Oct 6.
Published in final edited form as: J Electrochem Soc. 2018;165(7):https://doi.org/10.1149/2.0911807jes.

Table I.

Values for feature geometry, Ni2+ cation and PEI suppressor concentrations and transport, and the Ni deposition and PEI adsorption/desorption kinetics for the simulations presented in this study. Parameters related to the Ni deposition kinetics and PEI adsorption and consumption are obtained from fitting voltammetric measurements.23

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+ CNio 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 j0o A/m2 1.3 × 10−2
Suppressed Ni exchange rate constant j0o 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