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Consider a two-dimensional hexagonal lattice: (a) Find Fermi wave vector of the free electron circular Fermi...
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
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Consider a two-dimensional hexagonal lattice: (a) Find Fermi wave vector of the free electron circular Fermi...
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) Draw the free electron Fermi surface in the reduced zone...
Consider a two-dimensional hexagonal lattice:
(a) 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.
For a 3D free electron gas, derive expressions for the Fermi momentum, Fermi energy, and density...
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.
Consider a two-dimensional triangular lattice described by the two primitive vectors (in an orthogonal coordinate system...
Consider a two-dimensional triangular lattice described by the
two primitive vectors (in an orthogonal coordinate system
Find the two primitive lattice vectors describing the reciprocal
lattice. Find the area of the 1st
Brillouin zone and its relation with
the area of the direct lattice unit cell.
Consider a two-dimensional universe where Maxwell's equations are valid (their corresponding two-dimensional). Derive a wave equation.
Consider a two-dimensional universe where Maxwell's equations
are valid (their corresponding two-dimensional). Derive a wave
equation.
The fermi energy of silver is given as 5.49 eV. a) Find the densities of electron...
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...
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...
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...
Consider a one-dimensional lattice with a basis of two non-equivalent atoms of masses M_1and M_2. 1....
Consider a one-dimensional lattice with a basis of two
non-equivalent atoms of masses M_1and M_2.
1. Find the dispersion relations (ω versus k).
2. Sketch the normal modes in the first Brillouin zone.
3. Show that the ratio of the displacements of the two atoms u/v
for the k = 0 optical mode is given by:u/v=-M_2/M_1
a. Write an expression for the electric field vector of a uniform plane wave in free...
a. Write an expression for the electric field vector of a
uniform plane wave in free space that is propagating in the
direction given by a line from the origin to the point (3,0,4) and
that is linearly polarized along the y-direction. It has a
wavelength of 2 �m and reaches its positive maximum amplitude of 20
V/m at a distance of 1 m from the origin at t = 0 s.
b. Compute the irradiance of this wave.
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