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Terms and Formulae
Terms
Boltzmann Factor
-
Any term of the form e-
/τ is called a Boltzmann
Factor.
Gibbs Factor
-
Any term of the form e(Nμ-)/τ is called a Gibbs factor.
Gibbs Sum
-
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
Partition Function
-
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 ω 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
Formulae
The probability of finding a system in energy state  |
P(  
|
| The entropy of blackbody radiation |
σ =  
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