1.Define terms and explain the difference between Boltzmann
Statistic, Fermi-Dirac Statistic and Bose-Einstein statistic.
2. Give an example for each of system in order to understand and
handle aformentioned statistics.
3.Show that in a given circumstances Quantum statistics ignore
or pass over classical statistic.
For a 3D free electron gas, derive expressions for the Fermi
momentum, Fermi energy, and density of levels. Then plot the
density of levels and contrast its behavior as a function of
energy. Your answers should be expressed in terms of the electron
concentration n = N / V and some combination of fundamental
constants.
Sketch density state function, Fermi-Dirac probability function,
and areas representing electron and hole concentrations for the
case Ef below the intrinsic Fermi energy.
Consider a two-dimensional hexagonal lattice:
(a) Find Fermi wave vector of the free electron circular Fermi
surface in reciprocal space. (b) Draw the free electron Fermi
surface in the reduced zone scheme when the lattice points are
occupied by atoms with: i. One valence electron/atom. ii. Two
valence electrons/atom
Consider a two-dimensional hexagonal lattice:
(a) Find Fermi wave vector of the free electron circular Fermi
surface in reciprocal space.
(b) Draw the free electron Fermi surface in the reduced zone
scheme when the lattice points are occupied by atoms with:
i. One valence electron/atom.
ii. Two valence electrons/atom.
Calculate the pressure in cm H2O
exerted in the closed end of an apparatus if the atmospheric
pressure is 720.0 torr and the height of the water coloumn is
22.3cm.
The fermi energy of silver is given as 5.49 eV.
a) Find the densities of electron and atom per volume.
b) Find the fermi velocity of electron in silver
c) The current value flowing through silver is 2 A. The cross
sectional area of silver is 0.5 cm2 . Find the drift velocity of
electron in silver according to given conditions.
d)Find the collision time T for an electron for sliver. (the
definition of current density is the current per...
The fermi energy of silver is given as 5.49 eV. a) Find the
densities of electron and atom per volume. b) Find the fermi
velocity of electron in silver c) The current value flowing through
silver is 2 A. The cross sectional area of silver is 0.5 cm2. Find
the drift velocity of electron in silver according to given
conditions. d)Find the collision time for an electron for sliver.
(the definition of current density is the current per cross...
The fermi energy of silver is given as 5.49 eV. a) Find
the densities of electron and atom per volume. b) Find the fermi
velocity of electron in silver c) The current value flowing through
silver is 2 A. The cross sectional area of silver is 0.5 cm2. Find
the drift velocity of electron in silver according to given
conditions. d)Find the collision time for an electron for sliver.
(the definition of current density is the current per cross...
Determine the pressure exerted by 3.00 mol of Ar gas having a
volume of 0.500 L at -113.1ºC (160.0 K) using both the ideal gas
law and the van der Waals equations. By what percentage do the
pressures differ? Note that 160.0 K is close to the boiling point
for liquid Ar.