The distribution was first derived by Maxwell in 1860 on heuristic grounds. Boltzmann later, in the 1870s, carried out significant investigations into the physical origins of this distribution. The distribution can be derived on the ground that it maximizes the entropy of the system. A list of derivations are:

The ASP is the average selling price of the product across multiple distribution channels, across a product category within a company, or even across the market as a whole. Key Takeaways . Maxwell-Boltzmann distribution. Dalton's law of partial pressure. Practice: Calculations using the ideal gas equation. This is the currently selected item. Next lesson.

moves in the ﬁeld created by both the nuclear charge Z and a smeared-out static distribution of electric charge due to electrons 2, 3, . . . , n. The eigenfunction fi (1) is a one-electron orbital and e i (1) is the corresponding energy. The Boltzmann distribution should not be confused with the Maxwell–Boltzmann distribution. The former gives the probability that a system will be in a certain state as a function of that state's energy; in contrast, the latter is used to describe particle speeds in idealized gases. The distribution was first derived by Maxwell in 1860 on heuristic grounds. Boltzmann later, in the 1870s, carried out significant investigations into the physical origins of this distribution. The distribution can be derived on the ground that it maximizes the entropy of the system. A list of derivations are:

The Boltzmann distribution should not be confused with the Maxwell–Boltzmann distribution. The former gives the probability that a system will be in a certain state as a function of that state's energy; in contrast, the latter is used to describe particle speeds in idealized gases.