a) An electron with 10.0 eV kinetic energy hits a 10.1 eV
potential energy barrier. Calculate the penetration depth.
b) A 10.0 eV proton encountering a 10.1 eV potential energy
barrier has a much smaller penetration depth than the value
calculated in (a). Why?
c) Give the classical penetration depth for a 10.0 eV particle
hitting a 10.1 eV barrier.
A proton with initial kinetic energy 50.0 eV encounters a
barrier of height 70.0 eV. What is the width of the barrier if the
probability of tunneling is How does this compare with the barrier
width for an electron with the same energy tunneling through a
barrier of the same height with the same probability ?
An electron that has an energy of approximately 3.0e+02 eV moves
between rigid walls 0.6 nm apart.
(a) Find the quantum number n for the energy state that
the electron occupies.
_____________
(b) Find the precise energy of the electron.
_____________eV
The ground state energy of an oscillating electron is 1.24 eV. How much energy must be added to the electron to move it to the second excited state? The fourth excited state?
In a scanning tunneling microscope, the effective height of the
energy barrier is close to the work
function of the metal. If the work function is 4.67 eV, and the
electron energy is 2.5 eV, then
what is the transmission coefficient
(a) across a distance of 0.50 nm?
(b) across a distance of 0.70 nm?
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...
A sample is exposed to green light with the energy of 2.4 eV
and electron beam of 100 KeV
energy.
a) Calculate the wave length of the photons and electrons in
this experiment. Which signal
has a higher wave length? Explain. (10 points)
b) Assuming a convergence angle of 30 degrees for the aperture
used in an imaging
experiment for these waves, calculate the resolution for the
photon and electron beam in
this experiment (assuming there is no lens aberrations...
A sample is exposed to green light with the energy of 2.4 eV
and electron beam of 100 KeV
energy.
a) Calculate the wave length of the photons and electrons in
this experiment. Which signal
has a higher wave length? Explain. (10 points)
b) Assuming a convergence angle of 30 degrees for the aperture
used in an imaging
experiment for these waves, calculate the resolution for the
photon and electron beam in
this experiment (assuming there is no lens aberrations...
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...