Any term of the form e-/τ is called a Boltzmann Factor.
Any term of the form e(Nμ-)/τ is called a Gibbs factor.
The Gibbs Sum is the sum of all of the Gibbs Factors for the states and numbers of a system, and is given by:ZG(μ, τ) = e(Nμ-)/τ
The Partition Function represents the sum of all of the Boltzmann Factors for the states of a system, and is given by:Z = e-/τ
Planck distribution function
The Planck distribution function describes the average number of photons < s > in a particular frequency σ for blackbody radiation and is given by:< s > =
Stefan-Boltzmann law of radiation
The Stefan-Boltzmann law of radiation gives the energy density of radiation in a cavity, as can be expressed:= τ4
|The probability of finding a system in energy state if the system is in thermal contact with a reservoir||
|The entropy of blackbody radiation||
σ = ()3