Bloch equations for proton exchange reactions in an aqueous solution

Jae Seung Lee, Ravinder R. Regatte, Alexej Jerschow

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article numbere21397
JournalConcepts in Magnetic Resonance Part A: Bridging Education and Research
Issue number3
StatePublished - May 2016


  • Bloch-McConnell equations
  • acid-base reaction
  • chemical exchange
  • saturation transfer

ASJC Scopus subject areas

  • Spectroscopy


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