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Chemical Kinetics
Table of Contents

⚗️chemical kinetics review

6.3 Potential energy surfaces and reaction coordinates

Citation:

Potential energy surfaces are visual tools that map out the energy changes during chemical reactions. They show how energy varies as reactants transform into products, highlighting key points like transition states and activation energies.

Understanding potential energy surfaces is crucial for grasping reaction mechanisms and kinetics. They reveal the energy barriers reactions must overcome, helping explain why some reactions happen quickly while others are slow or don't occur at all.

Potential Energy Surfaces

Potential energy diagram interpretation

  • Graphical representations of energy changes during chemical reactions
    • x-axis represents reaction coordinate, a measure of reaction progress
    • y-axis represents potential energy of the system
  • Reactants are starting materials located at initial point, typically a local minimum
  • Products are substances formed located at final point, typically another local minimum
  • Transition state is highest energy point along reaction coordinate
    • Represents unstable intermediate species formed during reaction
    • Located at peak of potential energy curve

Reaction coordinate concept

  • Measure of progress of a chemical reaction
    • Represents minimum energy pathway reactants must follow to form products
  • Can be thought of as a "roadmap" for the reaction
    • Shows sequence of events during reaction, including formation and breaking of chemical bonds
  • Crucial for elucidating reaction mechanism
    • Mechanism describes step-by-step process of reactants converting into products
    • Includes identification of intermediates and transition states along reaction pathway

Potential energy surface and kinetics

  • Shape of potential energy surface determines kinetics (reaction rate)
  • Height of potential energy barrier (activation energy) affects reaction rate
    • Higher activation energy results in slower reaction rate, requires more energy to overcome barrier
    • Lower activation energy leads to faster reaction rate, less energy needed to reach transition state
  • Steepness of potential energy curve near transition state influences reaction rate
    • Steeper curve indicates more rapid change in energy near transition state, can lead to faster reaction rate
  • Multiple peaks on potential energy surface suggest multi-step reaction mechanism
    • Each peak represents a different transition state
    • Reaction must pass through each one in sequence

Thermodynamics and Kinetics

Activation energy from diagrams

  • Activation energy ($E_a$) is minimum energy required for reactants to reach transition state
    • On potential energy diagram, $E_a$ is difference in energy between reactants and transition state
    • Determined by measuring height of potential energy barrier relative to reactants
  • Enthalpy change ($ΔH$) is difference in energy between reactants and products
    • On potential energy diagram, $ΔH$ is difference in energy between reactants and products
    • Exothermic reaction: products lower in energy than reactants ($ΔH < 0$)
    • Endothermic reaction: products higher in energy than reactants ($ΔH > 0$)
  • Relationship between $E_a$ and $ΔH$ provides insight into thermodynamics and kinetics
    • Large $E_a$ and positive $ΔH$: kinetically and thermodynamically unfavorable
    • Small $E_a$ and negative $ΔH$: kinetically and thermodynamically favorable