Multiplying x to the three-halves power by this function, then expanding out and integrating, gives rise to the value [read slowly] “[emphasize] plus wavelength cubed divided by [pause] 4 root 2 times a numerical factor” for the coefficient B2 (“B-two”). An integral of the product of this function with another function can be approximated using the Sommerfeld expansion, as exemplified by integrating this function times the density of states to find the carrier concentration. This function becomes a step function in the limit of absolute zero, because its denominator includes the exponential of “epsilon minus mu all over kT,” all [emphasize] plus one. This distribution’s maximum value is 1, corresponding to the Pauli exclusion principle. For 10 points, what distribution describes particles with half-integer spin, in contrast to the Bose–Einstein distribution? ■END■
ANSWER: Fermi–Dirac distribution [or Fermi–Dirac statistics; prompt on logistic function or sigmoid function] (The numerical factor in the first line is the spin multiplicity.)
<Physics>
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