6.1 Collision theory and its limitations

2 min readjuly 22, 2024

Collision theory explains how chemical reactions occur through particle collisions. It states that reactants must collide with enough energy and proper orientation to react. Factors like temperature, concentration, and catalysts affect and reaction rates.

While collision theory provides a useful framework, it has limitations. It doesn't account for reaction intermediates, complex mechanisms, or quantum tunneling. These shortcomings led to the development of more comprehensive models like theory.

Here are the updated notes with more detail and following the provided guidelines:

Collision Theory

Principles of collision theory

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  • States reactant particles must collide with sufficient energy and proper orientation for a reaction to occur
    • Sufficient energy overcomes the barrier
    • Proper orientation allows formation of new bonds and breaking of old bonds
  • Reaction rate depends on frequency of effective collisions between reactant particles
    • Effective collisions have enough energy and proper orientation to lead to a reaction
  • Increasing frequency of effective collisions increases the reaction rate

Factors affecting reaction rates

  • Temperature
    • Higher temperature increases average kinetic energy of particles
    • More particles have energy greater than activation energy
    • Leads to more effective collisions and faster reaction rate
  • Concentration
    • Higher reactant concentration increases particles per unit volume
    • More particles in a given space lead to more frequent collisions
    • Results in higher reaction rate
  • Surface area (for heterogeneous reactions)
    • Larger reactant surface area provides more collision sites
    • Increases frequency of effective collisions and reaction rate
  • Presence of a catalyst
    • Catalysts lower activation energy barrier
    • More particles have sufficient energy to overcome lowered barrier
    • Leads to increased frequency of effective collisions and faster reaction rate

Limitations of collision theory

  • Assumes all collisions with sufficient energy lead to a reaction
    • In reality, not all high-energy collisions result in a reaction due to factors like orientation and presence of reaction intermediates
  • Does not account for role of reaction intermediates and complex reaction mechanisms
    • Many reactions proceed through multiple steps involving formation and consumption of intermediate species
    • Does not provide detailed description of these complex mechanisms
  • Does not accurately explain of reaction rates
    • Arrhenius equation, k=AeEa/RTk = Ae^{-E_a/RT}, better describes relationship between temperature and
    • Does not derive exponential relationship between temperature and reaction rate
  • Does not consider role of quantum mechanical tunneling in some reactions
    • Quantum tunneling allows particles to pass through activation energy barrier instead of overcoming it
    • This phenomenon not accounted for by classical collision theory
  • Limitations led to development of transition state theory, which provides more comprehensive description of reaction rates and mechanisms

Key Terms to Review (14)

Activated Complex: An activated complex is a transient, unstable arrangement of atoms that forms during a chemical reaction, representing the peak energy state along the reaction pathway. This complex exists between reactants and products, indicating that the reactants have sufficient energy to overcome the activation barrier, allowing for the transformation into products. Understanding this concept is crucial for grasping how reactions proceed and why certain conditions influence reaction rates.
Activation Energy: Activation energy is the minimum amount of energy required for a chemical reaction to occur. It represents the energy barrier that reactants must overcome to be transformed into products, linking the concepts of kinetics and thermodynamics in the context of chemical reactions.
Collision Frequency: Collision frequency refers to the number of collisions that occur per unit time between reactant molecules in a chemical reaction. This concept is crucial in understanding how gas-phase reactions take place, as higher collision frequency typically leads to increased reaction rates. The effectiveness of these collisions, influenced by factors like temperature and concentration, plays a significant role in determining how quickly reactants transform into products.
Effective collision: An effective collision occurs when reactant particles collide with sufficient energy and the correct orientation to result in a chemical reaction. This concept is vital for understanding how reactions occur, as not all collisions lead to products; only those that meet the energy and orientation criteria can overcome the activation energy barrier and transform reactants into products.
Elementary Reactions: Elementary reactions are single-step reactions that represent the simplest form of a chemical process, where reactants convert directly into products without any intermediates. Understanding these reactions is essential for analyzing complex reaction mechanisms, determining rate laws, and applying concepts like collision theory and integrated rate laws.
Kinetic studies: Kinetic studies involve the examination of the rates of chemical reactions and the factors that influence these rates. This analysis provides insights into reaction mechanisms, enabling a deeper understanding of how and why reactions occur at specific speeds under various conditions. By applying theories such as collision theory and utilizing equations like the Arrhenius equation, kinetic studies help predict reaction behavior in both laboratory and industrial settings.
Mechanistic analysis: Mechanistic analysis is a method used to understand the step-by-step processes through which chemical reactions occur, focusing on the individual elementary steps and their mechanisms. This analysis helps in dissecting how reactants convert into products, providing insights into reaction pathways, intermediates, and transition states. It enables chemists to predict reaction outcomes and design better catalysts or reaction conditions.
Molecular geometry: Molecular geometry refers to the three-dimensional arrangement of atoms within a molecule. It is determined by the spatial distribution of the atoms, the types of bonds formed, and the presence of lone pairs of electrons, which can significantly affect the shape and reactivity of the molecule in collisions.
Multi-step reactions: Multi-step reactions involve a series of elementary steps that collectively lead to the overall reaction, where each step has its own transition state and activation energy. This concept highlights the complexity of reaction mechanisms, showing that reactions can occur through various pathways, which may be influenced by factors like temperature, concentration, and catalysts.
Orientation Factor: The orientation factor is a numerical value that quantifies the likelihood of reactant molecules properly aligning during a collision to result in a successful reaction. This factor is crucial in understanding how the geometry of the colliding species impacts reaction rates and pathways, linking it to the broader concepts of molecular interactions and energy barriers.
Rate Constant: The rate constant is a proportionality factor in the rate law that quantifies the speed of a chemical reaction at a given temperature. It connects the concentration of reactants to the reaction rate, showing how quickly the reaction proceeds. The value of the rate constant is influenced by factors such as temperature, activation energy, and the presence of catalysts, making it a key element in understanding reaction kinetics and dynamics.
Reaction mechanism: A reaction mechanism is a detailed step-by-step description of the process by which reactants are transformed into products during a chemical reaction. This concept connects the rates of reactions with the molecular events that occur, providing insight into how and why certain factors affect reaction dynamics and outcomes.
Temperature Dependence: Temperature dependence refers to how the rate of a chemical reaction changes with varying temperatures. Generally, an increase in temperature tends to accelerate reaction rates due to enhanced molecular motion and increased frequency of collisions between reactants, thus influencing various chemical processes.
Transition state: The transition state is a temporary, high-energy arrangement of atoms that occurs during a chemical reaction, representing the point of maximum energy along the reaction pathway. This state is crucial as it determines the activation energy required for the reaction to proceed and connects the reactants and products through an energy barrier.
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