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Activation energy
Activation energy ($E_a$) is the minimum energy required for colliding particles to form an activated complex (also known as the transition state) and proceed to products.
Arrhenius equation
An equation relating the rate constant $k$ to temperature: $k = Ae^{-\frac{E_a}{RT}}$, where $A$ is the Arrhenius factor, $E_a$ is the activation energy, $R$ is the gas constant, and $T$ is the absolute temperature in kelvin.
Rate constant
The rate constant, $ k $, serves as a measure of how fast a reaction proceeds, and it varies with temperature.