1) Derive the Fermi Dirac statistical distribution law.
2) Compare the three statistics Maxwell-Boltzmann
statistics,Bose-Einstein statistics,Fermi-Dirac Statistics.
(a) One of the first "pure" Bose Einstein condensates was
created with a low density (1020 molecules per cubic
meter) gas of lithium with an atomic mass of 7.02 u. What is the
critical temperature for the transition to a Bose Einstein
condensate for lithium? Assume the spin for the atom is 1. The
temperatures actually achieved in these experiments were below 100
nK. What fraction of the lithium molecules are in the Bose Einstein
Condensate phase at 100 nK?...
Discuss Einstein and Planck's collaborative work on the
photoelectric effect and their differing views about whether
science research is removed from social and political forces.
1) Derive the Maxwell-Boltzmann law of distribution of
energy.
2) Applying Maxwell-Boltzmann distribution law,Show that the
internal energy of an ideal monoatomic gas depends only on its
temperature.
Derive Laws of Black Body Radiation from Wien’s Law:
uν = ν3F(ν/T)
What is Stephen’s Law?
Please Prove Stephen’s Law from Wien’s Law
Please Prove Wien’s Displacement Law from Wien’s Law
Use a computer to make two plots of the Boltzmann, Fermi-Dirac,
and Bose-Einstein distributions functions versus x=(LaTeX:
\epsilon-\mu ϵ − μ )/kT. For one make both axes linear. For the
other make the y-axis logarithmic, and indicate the x- and y-
ranges where the distribution functions agree to better than one
percent.
we
have the following statistics. maxwell-boltzmann, fermi-dirac and
bose-einstein.
when then sonsidering different systems which above statistics
would fit the best, give a short answer of why.
a) He4 under normal room conditions of temperature and
pressure
b) electrons in copper under normal room conditions
c) He4 at lambda point
d) electrons and holes in a semiconductor Ge in room
temperature, band gap 1V