U. Tallarek et al., STUDY OF TRANSPORT PHENOMENA IN CHROMATOGRAPHIC COLUMNS BY PULSED-FIELD GRADIENT NMR, JOURNAL OF PHYSICAL CHEMISTRY B, 102(18), 1998, pp. 3486-3497
Pulsed field gradient NMR has been applied to study mass transfer, flo
w, and dispersion in packed chromatographic columns. A single measurem
ent allows the determination of the full displacement probability dist
ribution of all fluid particles located in the measurement volume. Dep
ending on the orientation of the pulsed magnetic field gradient with r
espect to the net flow direction, these-called averaged propagator is
obtained independently and quantitatively for either the axial or the
transverse fluid particle displacements, over an experimentally adjust
able observation time. Thus, this technique can act on a dynamic time
scale ranging from a few to several hundred milliseconds. This enabled
us to detect the stagnant mobile phase in packed chromatographic colu
mns and to follow the mass transfer between the stagnant solvent and t
he stream of mobile phase percolating through the column bed. With fie
ld gradients in the direction of net flow velocity, mean fluid particl
e displacements ranging between 0.07 and 100 times the average diamete
r of the stationary phase particles could be analyzed in terms of the
intimately associated averaged propagator, with observation times betw
een 30 and 960 ms. Starting in the absence of flow, the development fr
om the Gaussian propagator for molecular diffusion in the packing (cen
tered at zero net displacement) toward the fully established Gaussian
propagator (parallel to the onset and increase of externally driven fl
ow) is recorded, characterizing convection-driven dispersion in the pa
cking. For short observation times, the mass transfer between the deep
pools of; stagnant mobile phase in the totally porous support particl
es and the interstitial space in the packed bed lis found to be incomp
lete and the transition toward complete exchange is followed. The resu
lts indicate that the stagnant mobile-phase mass transfer in the class
ical HPLC silica-based stationary phase is purely diffusion-controlled
.