Clarification needed is the microcanonical partition function is the canonical partition function is the grand canonical partition function. In short the Boltzmann formula shows the relationship between entropy and the number of ways the atoms or molecules of a certain kind of thermodynamic system can be.
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The various ensembles used in statistical thermodynamics are linked to the entropy by the following relations.
. We can view Ω as a measure of. Order through chaos and the second law of thermodynamics. 1 where k B displaystyle k_mathrm B is the Boltzmann constant also written as simply k displaystyle k and equal to 1380649 10 23 JK and log displaystyle log is the natural logarithm function.
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