Particle size effect on transverse NMR relaxation in aqueous char suspensions

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Abstract

A strong particle size influence on NMR transverse proton relaxation in aqueous suspensions of several newly synthesized carbon based chars is reported. The results are quantitatively interpreted in terms of a two-stage molecular exchange model. A porous cage effect leads to slow exchange between molecules inside and outside pores, in contrast to fast molecular exchange at the solid–liquid interface, where a familiar two-site formalism can be applied. The dependence of surface properties on the relaxation data was detected. The transverse NMR relaxation time of water protons on the paramagnetic surface of chars is estimated to be T2s≈ 0.5×10−5 s, which is comparable with the EPR relaxation time of the free radical centers. Dynamic nuclear polarization (DNP) is used to estimate the paramagnetic shift Δv of water protons at the surface. The value Δv so obtained is much less than the transverse NMR relaxation rate of water protons on the paramagnetic surface ΔvT2s−1. This inequality can account for the independence of the NMR transverse relaxation times on the interval τ observed in CPMG measurements.

Introduction

An understanding of intermolecular interactions and molecular motion at the solid–liquid interface is of central importance to research concerning heterogeneous catalysis, fluid penetration of engineering plastics and ceramics and biological perfusion. Studies of molecular diffusion and relaxation processes in paramagnetic porous materials provide valuable information about surface relaxivity and spin dynamics at the solid–liquid interface [1], [2].

Over the past two decades, many different magnetic resonance methods have been used in studies of paramagnetic centers in carbonaceous solids as well as in studies of the surface diffusion of solvents adsorbed on charcoals [2], [3], [4], [5], [6], [7], [8]. EPR spectroscopy has shown that unpaired electrons responsible for the paramagnetism of chars exist in stable organic free radicals created during the heat-treatment carbonization [2], [3]. Surface diffusion of solvents adsorbed on charcoals already has been the subject of NMR relaxation studies [4], [5], [6]. An NMR chemical shift technique also has been applied to study the molecules adsorbed on charcoal and silica gel [7], [8]. Self-diffusion coefficients in porous media, measured by different kinds of pulsed-field-gradient NMR, have been the object of intensive theoretical and experimental studies [9], [10], [11], [12], [13]. In spite of significant progress in these studies, the electronic structure of char paramagnetic centers and the process of free radical formation during carbonization, as well as the state of water at the paramagnetic surface, are not yet fully understood. So far, no theoretical calculation related to the electronic structure has been carried out for carbon based chars.

Many reports have shown that the water proton relaxation rate in porous media depends on structural properties, such as porosity, grain and pore size, geometry and distribution and specific surface interactions, as well as on flow properties, such as permeability, tortuosity and dispersivity [14], [15], [16], [17], [18]. Using simple model systems, such as glass beads in water, it was shown that the two-site exchange model can be successfully used to account for relaxation data of solvent protons [15], [17]. However, the origin of enhanced relaxation in real porous structures, as well as the state of water on more complex surfaces, remains a matter of debate. The analysis of relaxation data is especially complicated for aqueous suspensions of paramagnetic porous particles because water protons are influenced by fast nuclear-electron cross-relaxation on the surface due to hyperfine interactions with the paramagnetic centers in the porous media. Corresponding NMR chemical shifts for molecules adsorbed on the paramagnetic surface usually are obscured by broad resonance linewidths. The purpose of this work is to furnish an understanding of molecular diffusion and spin dynamics at the solid–liquid interface in several newly synthesized carbon based chars suspended in water.

Section snippets

Experimental

The NMR relaxation measurements were performed at a Larmor 1H frequency of 6 MHz at room temperature with a relaxometer NMR-07PC, which is a modification of a model previously described [19]. The Carr–Purcell–Meiboom–Gill (CPMG) technique was employed to measure water proton transverse relaxation times with a 180° pulse period, τ, from 10 ms down to 0.2 ms. Special software has been created to account for multi-exponential relaxation, in which the relaxation (echo-decay) curve was described as

Results and discussion

Chars in this study have a well-developed porous structure, leading to multi-exponential NMR magnetization decays and several relaxation times. Spin-echo decay analysis shows the presence of two basic components (Fig. 1) with different relaxation times which represent more than 90% of all water molecules in the sample. One of them represents 2–9% of water molecules, has comparatively short relaxation times Tp≈3–10 ms, and demonstrates a weak char particle size dependence. This component (Fig. 1

Conclusions

  • 1.

    The dependence of the transverse relaxation of water protons on particle size in aqueous suspensions of several newly synthesized carbon based chars can be interpreted quantitatively in terms of a two-stage molecular exchange model. A porous cage effect leads to slow exchange between molecules inside and outside pores in contrast to fast molecular exchange processes at the solid–liquid interface, where the usual two-site formalism can be applied. Owing to increasing surface-to-volume ratio, the

Acknowledgements

The research was supported in part by a grant from NATO (HTECH LG 972264) from Fogarty International Foundation (1RO3 TW00998-01) from NIH (RBC; GM51630, GM42208) as well as from the US Department of Energy (DE FG22-96 PC 96205) and used facilities of the Illinois EPR Research Centre (NIH P41-RR01811).

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