Equations of collision theory chemistry

Equation of collision theory chemistry derived by Rate constants calculations of the reaction
In Quantum mechanics the collision theory chemistry may defined as :
1. collision theory chemistry is :
a Theory to describe collisions of simple or complex particles, the derivation of collision cross sections from postulated interactions
2. collision theory chemistry is :
the study of properties of collision amplitudes which follow from invariance principles such as conservation of probability and time-reversal invariance .

* Rate constant in state of collision theory chemistry
The rate constant for a bi molecular gas phase reaction as predicted by collision theory, is:

Where:
Z is the collision frequency.
p is a steric factor .(that corrects for low-energy-level collisions.)
Ea is the activation energy of the reaction.
T is the temperature.
R is gas constant.
And the collision frequency is:

NA is Avogadro's number
σAB is the reaction cross section
kB is Boltzmann's constant
μAB is the reduced mass of the reactants

So that :

the physical chemistry describing the collision theory chemistry as:
A Theory of chemical reaction proposing that the rate of product formation is equal to the number of reactant-molecule collisions multiplied by a factor that corrects for low-energy-level collisions.

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