Boltzmann average
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The Boltzmann average (sometimes known as the thermal average) for a given quantity or observable, let us say , is given by
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \langle A\rangle ={\frac {\sum _{i}A_{i}\exp(-E_{i}/k_{B}T)}{\sum _{i}\exp(-E_{i}/k_{B}T)}}}
where is the Boltzmann constant, and T is the temperature. This provides the expected value of the property in question at a given temperature.