Thermodynamic Probability of Fermi-Dirac Statistics (Derivation) by mathOgenius

[@mathOgenius]

I hope this Helps ! - Please like and share it really helps !

[@moirangthemsanahal6695]

Here we have started to talk of calculating the microstate via no. Of ways where ni particles can arange themselves in gi degenerate levels of Energy state Ei. But first of all, how at the very first place can we say ni particlea have entered Ei. Why dont we consider the ways where total of N particles can be distributed into G different energy levels.?

[@moirangthemsanahal6695]

But what ud ni is > gi ? Or it cant be so

[@keerthana9043]

What happens if they don't obey pauli exclusion principle

[@mathOgenius]

then they are in either Maxwell boltzmann statistics or Bose einstein statistics depending on their distinguishability

[@keerthana9043]

@@mathOgenius thank you🙏

[@agnivashil4130]

in 5:51 when you are giving multiplication sign why are you giving factorial sign in gi

[@mathOgenius]

see gi factorial is not g1.g2.g3.. its gi(gi-1)... so at the send its g1! ×g2!...

[@agnivashil4130]

Ohh!! Got you 👍👍

[@amitghosh3938]

@@mathOgenius can you please tell me the difference between gi and g1

[@mathOgenius]

i the the index of states so g1 is the degeneracy of 1st energy state

[@amitghosh3938]

@@mathOgenius thankyou sir just one more question doesn't this degeneracy contradicts pauli's exclusion principle