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Quantum ideal-gas statistics

Maxwell–Boltzmann statistics

{title2=$n=g_s(2\pi mk_BT/h^2)^{3/2}e^{(\mu-mc^2)/(k_BT)}$}

Integrating <Maxwell–Boltzmann statistics> over momentum for <nonrelativistic particles> of mass $m$, spin-state count $g_s$, and energy $mc^2+p^2/(2m)$ gives
$$
n=g_s\left(\frac{2\pi mk_BT}{h^2}\right)^{3/2}
e^{(\mu-mc^2)/(k_BT)}.
$$

Nonrelativistic Maxwell--Boltzmann number density

Deuterium equilibrium abundance

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Nonrelativistic Maxwell--Boltzmann number density ( $n = g_{s} (2 πm k_{B} T / h^{2})^{3/2} e^{(μ - m c^{2}) / (k_{B} T)}$ )

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Nonrelativistic Maxwell--Boltzmann number density (n=gs​(2πmkB​T/h2)3/2e(μ−mc2)/(kB​T))

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Nonrelativistic Maxwell--Boltzmann number density ( $n = g_{s} (2 πm k_{B} T / h^{2})^{3/2} e^{(μ - m c^{2}) / (k_{B} T)}$ )

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