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Arrhenius Equation
Linked via "collision theory"
The Pre-Exponential Factor ($A$)
The pre-exponential factor, $A$, encapsulates the frequency of collisions between reactant molecules that possess the correct orientation for reaction. In simple collision theory (which forms the theoretical underpinning for the Arrhenius model), $A$ is proportional to the collision frequency ($Z$) and a steric factor ($p$) that accounts for the geometry required for successful… -
Bimolecular Reaction
Linked via "Collision Theory"
Where $k$ is the specific rate constant, having units typically expressed as $\text{L} \cdot \text{mol}^{-1} \cdot \text{s}^{-1}$ for second-order kinetics. If $\text{A} = \text{B}$, the reaction is second-order overall but still fundamentally bimolecular ($\text{A} + \text{A} \rightarrow \text{Products}$), leading to the rate expression $\text{Rate} = k [\text{A}]^2$.
Collision Theory and [Activation](/entries/activation/… -
Bimolecular Reaction
Linked via "Collision Theory"
Collision Theory and Activation
Bimolecular reactions are fundamentally governed by the principles of Collision Theory, as formalized by Max Trautz and William Lewis (chemist)/) in the early 20th century. For a reaction to occur, three conditions must be met:
Collision: Reactant molecules A and B must physically encounter one another. -
Bimolecular Reaction
Linked via "collision theory"
Energy: The collision must possess kinetic energy equal to or exceeding the activation energy ($E_a$) along the reaction coordinate.
The Arrhenius equation, which empirically describes the temperature dependence of the rate constant, is often interpreted within the framework of collision theory:
$$k = A e^{-E_a / RT}$$ -
Bimolecular Reaction
Linked via "collision theory"
Steric Factor and Molecular Geometry
The Steric Factor ($P$) accounts for the non-energetic requirement of correct orientation. In classical collision theory, $P$ is a dimensionless geometric factor. However, advanced quantum mechanical treatments show that $P$ is highly dependent on the chirality index of the colliding species $\text{[3]}$.
For reactions involving highly polarized o…