On the relationship between radial structure heterogeneities and efficiency of chromatographic columns

Abstract

The general dispersion theory of Aris is applied to predict the virtual asymptotic dispersion behavior of packed columns. The derived model is also used to estimate the actual pre-asymptotic dispersion behavior of modern 2.1 mm × 50 mm columns packed with sub-2 μm fully porous particles (FPPs) during the transient dispersion regime. The model accounts for the actual radial distribution of the flow velocity across the column diameter. From the wall to the center of the column, focused-ion-beam scanning electron microscopy (FIB-SEM) experiments were recently performed to reveal the existence of a thin (0.15dp wide, dp is the average particle diameter) hydrodynamic boundary layer (THBL), a thin (3dp wide) and loose orderly packed layer (TLOPL), a 60dp wide and dense randomly packed layer (WDRPL), and a large (≃460dp) randomly packed bulk central region [1].The theoretical calculations of the actual pre-asymptotic reduced van Deemter curves (2.1 mm × 50 mm column, sub-2 μm BEH-C18 FPPs, n-hexanophenone analyte, acetonitrile/water eluent, 80/20, v/v, flow rate from 0.05 to 0.35 mL/min) confirm that the impact of the sole THBL on column dispersion can be neglected. In contrast, the contribution of the TLOPL to the reduced plate height (RPH) is about 0.2 h unit at optimum reduced velocity. Most remarkably, the negative impact of the TLOPL on column performance may be fully compensated by the presence of the adjacent WDRPL if the depth of the velocity well were to be 5% of the bulk velocity. In actual 2.1 mm × 50 mm columns packed with sub-2 μm FPPs, this velocity depth is as large as 25% of the bulk velocity causing a significant RPH deviation of 0.7 h unit from the RPH of the bulk packing free from wall effects. Maximum column performance is expected for a reduction of WDRPL density. This suggests optimizing the packing process by finding the proper balance between the stress gradient across the WDRPL (responsible for the deep velocity well) and the friction forces between the packed particles (responsible for the rearrangement of the particles during bed consolidation). Past and recently reported RPH data support the theoretical insights: the stress gradient/particle friction balance in the WDRPL is better realized when packing superficially porous particles (SPPs) rather than FPPs in 2.1–4.6 mm i.d. columns (the RPH deviation is reduced to 0.4 h unit) or sub-2 μm particles in 100 cm × 75 μm i.d. capillaries combining high slurry concentrations and sonication (the RPH deviation is reduced to only 0.15 h unit).