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.
Assume that a stationary electron is a point of charge. What is
the energy density u of its electric field at radial distances
(a) r = 9.30 mm, (
b) r = 9.30 μm,
(c) r = 9.30 nm, and
(d) r = 9.30 pm?
(e) What is u in the limit as r right-arrow 0 (u right-arrow 0 =
1, u right-arrow infinity = 2)?
Use the Fermi energy plus the neutron separation energy to
estimate the depth of the potential well for Fe^56 (A=56, Z=26)
What I understand so far:
The depth of the well --> |Vo| = (Fermi energy) + (Neutron
separation energy)
Where the neutron separation energy is the binding energy of the
last neutron (Would this be the same as the B.E per nucleon usually
use to find the plot of the binding fraction? )
Please detail every step you make....
What is the new charge density on the outside of the
sphere? Calculate the strength of the electric
field just outside the sphere? What is the electric flux through a
spherical surface just inside the inner surface of the sphere?
The Fermi energy for copper is EF = 7.00 eV. For copper at T =
1030 K, (a) find the energy of the energy level whose probability
of being occupied by an electron is 0.933. For this energy,
evaluate (b) the density of states N(E) and (c) the density of
occupied states No(E).
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...