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# What is collision frequency?

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## Collision frequency:Collision theory was developed by Max Trautz and William Lewis in $1916-1918$.“According to this theory, the reactant molecules are assumed to be solid spheres and reaction is postulated to occur when molecules colloid with each other.”The collision frequency is defined as the average rate at which two reactants collide in the given system. The number of collisions per second per unit volume of the reaction mixture is known as collision frequency.Formula of Collision frequency:$\mathrm{Z}={\mathrm{N}}_{\mathrm{A}}{\mathrm{N}}_{\mathrm{B}}{\left({\mathrm{r}}_{\mathrm{A}}+{\mathrm{r}}_{\mathrm{B}}\right)}^{2}\sqrt{\frac{8{\mathrm{\pi K}}_{\mathrm{B}}\mathrm{T}}{{\mathrm{\mu }}_{\mathrm{AB}}}}$$\mathrm{Z}$ is the collision frequency.${\mathrm{N}}_{\mathrm{A}}\mathrm{and}{\mathrm{N}}_{\mathrm{B}}$are the number of A and B atoms.${\mathrm{r}}_{\mathrm{A}}\mathrm{and}{\mathrm{r}}_{\mathrm{B}}$ are the radius of A and B atoms.${\mathrm{K}}_{\mathrm{B}}$ is the Boltzmann constant.$\mathrm{T}$ is the temperature.${\mathrm{\mu }}_{\mathrm{AB}}$ is the reduced mass.

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