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