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This study explores directional catalysis, demonstrating that catalysts can indeed accelerate only one direction of a chemical reaction. Analyzing single reactant trajectories reveals how asymmetric transition rates enable this one-way catalysis.

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Area of Science:

  • Chemical Kinetics
  • Theoretical Chemistry
  • Statistical Mechanics

Background:

  • Catalysts accelerate chemical reactions without altering equilibrium constants.
  • Some catalysts exhibit preferential acceleration of one reaction direction.
  • The possibility of strictly unidirectional catalysis remains an open question.

Purpose of the Study:

  • To investigate if strictly unidirectional catalysis is achievable.
  • To analyze the microscopic behavior of single reactants in directional catalysis.
  • To establish a mathematical framework for understanding directional catalysis.

Main Methods:

  • Utilized a simple, exactly solvable lattice model.
  • Analyzed the microscopic trajectory of single reactants.
  • Examined transition rates and fluxes within the model.

Main Results:

  • Demonstrated the existence of strictly one-way catalysts within the model.
  • Established a mathematical relationship between asymmetric transition rates and symmetric transition fluxes.
  • Showed that the degree of directionality depends on the catalytic mechanism.

Conclusions:

  • Strictly unidirectional catalysis is possible.
  • Directional catalysis can be mathematically described and linked to equilibrium.
  • Different catalytic mechanisms exhibit varying degrees of directionality and scaling laws.