Boltzmann Distribution

Widely known to be one of the funadamental concepts in Chemistry, Quantum Mechanics, Statistical Mechanics and Thermodynamics, the Boltzmann Distribution is an exponential distribution law that describe the probability distribution of states based on the underlying energy levels. If we are looking at the states of the configurations of a molecule, the Boltzmann distribution function will be the fraction of molecules that are in each conformation.

If we let <math>p_i=\frac{n_i}/{N}</math> represent the fraction of a molecule in the state i The Boltzmann distribution has a general form of: