Heterogeneous Catalysis Lab Protocol: Internal Diffusion Testing
Internal diffusion testing in heterogeneous catalysis is an experimental and analytical methodology used to quantify the extent to which mass transport limitations within catalyst pores affect observed reaction rates. It evaluates whether the intrinsic surface reaction kinetics are masked by slow diffusion of reactants or products through the porous structure of a solid catalyst. This assessment is critical for distinguishing kinetic control from diffusion control and for designing catalysts with optimal pore architecture.
π Overview
π Key Components
π― Applications
- β Diagnosing pore diffusion limitations in supported metal catalysts (e.g., Pt/AlβOβ for hydrogenation)
- β Validating kinetic models prior to reactor simulation (e.g., in ASPEN Plus or COMSOL)
- β Optimizing extrudate or microsphere geometry for industrial hydroprocessing catalysts
π Key Formulas
Thiele Modulus (spherical catalyst)
Ο = R β(k / Dβ)
Dimensionless parameter quantifying the ratio of characteristic reaction rate to internal diffusion rate; R = particle radius, k = intrinsic first-order rate constant, Dβ = effective diffusivity in catalyst pores
Effectiveness Factor (first-order, spherical)
Ξ· = (3/Ο) * [(1/tanh Ο) β (1/Ο)]
Measures fractional utilization of catalyst volume; Ξ· β 1 indicates no diffusion limitation, Ξ· << 1 indicates severe internal diffusion resistance
Effective Diffusivity (Knudsen + Bulk)
1/Dβ = 1/D_K + 1/D_AB
Estimates pore-scale diffusivity accounting for both Knudsen diffusion (dominant in small pores < 50 nm) and molecular (bulk) diffusion contributions