Equipartition theorem in statistical mechanics derivation
Answers
They are unrelated.
The equipartition theorem refers to individual particles and describes how energies are distributed among various degrees of freedom (translational, rotational, vibrational).
The partition function appears while computing the likelihood of finding the entire system in a specific state. It is the normalizing factor that converts populations of states with a certain energy into probabilities.
One might need to use the equipartition principle to compute the energies of specific states of the system, and this information can subsequently be fed into the partition function, but other than this, the two concepts are pretty much disjoint.
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Nitrogen fixation is a process by which nitrogen in the air is converted into ammonia (NH3) or related nitrogenous compounds.[1] Atmospheric nitrogen, is molecular dinitrogen (N2), a relatively nonreactive molecule that is metabolically useless to all but a few microorganisms. Biological nitrogen fixation converts N2 into ammonia, which is metabolized by most organisms.
Nitrogen fixation is essential to life because fixed inorganic nitrogen compounds are required for the biosynthesis of all nitrogen-containing organic compounds, such as amino acids and proteins, nucleoside triphosphates and nucleic acids. As part of the nitrogen cycle, it is essential for agriculture and the manufacture of fertilizer. It is also, indirectly, relevant to the manufacture of all chemical compounds that contain nitrogen, which includes explosives, most pharmaceuticals, and dyes.
Nitrogen fixation is carried out naturally in the soil by a wide range of microorganisms termed diazotrophs that include bacteria such as Azotobacter, and archaea. Some nitrogen-fixing bacteria have symbiotic relationships with some plant groups, especially legumes.[2] Looser non-symbiotic relationships between diazotrophs and plants are often referred to as associative, as seen in nitrogen fixation on rice roots. Nitrogen fixation also occurs between some termites and fungi.[3] It also occurs naturally in the air by means of NOx production by lightning.[4][5]