Boltzmann Constant - Role in Boltzmann Factors

Role in Boltzmann Factors

More generally, systems in equilibrium at temperature T have probability p of occupying a state i with energy E weighted by the corresponding Boltzmann factor:

Where Z is the partition function. Again, it is the energy-like quantity kT which takes central importance.

Consequences of this include (in addition to the results for ideal gases above) the Arrhenius equation in chemical kinetics.

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