Bloch equations for proton exchange reactions in an aqueous solution

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Abstract

The extension of the Bloch equations for acid-base reactions in an aqueous solution is revisited. The acid-base reactions are second order, and several reactions catalyzed by distinct catalysts may happen simultaneously. By constructing pseudo first-order reactions and assuming fast dissemination of protons from catalysts to solvent water, this extension converges to the well-known Bloch-McConnell equations for a two-site first-order exchange. Thus, explicit relationships between the parameters appearing in the reactions and the Bloch-McConnell equations are established. The dependencies of exchange rates and chemical exchange saturation transfer effects on pH were numerically and experimentally investigated for representative examples.

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Lee, J. S., Regatte, R. R., & Jerschow, A. (2016). Bloch equations for proton exchange reactions in an aqueous solution. Concepts in Magnetic Resonance Part A: Bridging Education and Research, 45A(3). https://doi.org/10.1002/cmr.a.21397

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