Statistical Physics, Second Revised and Enlarged Edition

62 Gases: the distributions

7. Use ofStirling’s approximation andLagrangemultipliers, as usedearlier,gives
   the Fermi–Dirac, Bose–Einstein and Maxwell–Boltzmann distributions, with
   parametersαandβ.
   8 .αisdeterminedbythe particle number, andβrelates to temperature asbefore.


8. The final result for the three distributions (FD, BE and MB) can be given ina
   single expression (5.13).