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Solid State Physics
In a one dimensional diatomic crystal, the velocity of sound is 1500 m/s and the lattice
constant 4.0Å. The relationship between the mass of the atoms is M/m = 0.8. Calculate
the gap in the frequency at the Brillouin zone boundary.
constant 4.0Å. The relationship between the mass of the atoms is M/m = 0.8. Calculate
the gap in the frequency at the Brillouin zone boundary.
Solid State Physics
The direct lattice vectors for a lattice are given by:
a i a [ˆi 3ˆj]and a kˆ
2
ˆ ;
1 2 3 c
a
= a = + =
r r r
Obtain the volume of the primitive cell and the reciprocal lattice vectors
a i a [ˆi 3ˆj]and a kˆ
2
ˆ ;
1 2 3 c
a
= a = + =
r r r
Obtain the volume of the primitive cell and the reciprocal lattice vectors
Solid State Physics
A crystal has a cubic unit cell of 4.2 Å. Using a wavelength of 1.54 Å at what angle (2)
would you expect to measure the (111) peak?
would you expect to measure the (111) peak?
Solid State Physics
A metallic element has a density of 7.15 g cm−3, a lattice constant of 2.880 Å, and an
atomic weight of 51.9961. Calculate the number of atoms per unit cell of this element and
predict its lattice crystal structure.
atomic weight of 51.9961. Calculate the number of atoms per unit cell of this element and
predict its lattice crystal structure.
Solid State Physics
What is the Bravais lattice formed by all lattice points which have the Cartesian
coordinates (x,y,z) such that
i) x,y and z are all even numbers
ii) x,y and z are either all even numbers or all odd numbers.
coordinates (x,y,z) such that
i) x,y and z are all even numbers
ii) x,y and z are either all even numbers or all odd numbers.
Solid State Physics
Answer in brief:
i) List the symmetry elements for BF3, which is a planar trigonal molecule.
ii) Draw the first Brillouin zone for a 2D square reciprocal lattice.
iii) Explain with a diagram what type of a bond is formed between Magnesium and
Oxygen.
iv) Explain how a linear monoatomic chain behaves as a low pass filter.
v) What are the basic assumptions of Einstein’s theory for the specific heat of a solid?
vi) Calculate the probability for an electron to be found at an energy of (EF +2kBT) in a
metal.
vii) Explain with the help of diagrams the magnetism in a superconductor when it is cooled
in the presence of a magnetic field.
viii) What is the significance of a negative effective mass?
ix) Write down the difference between diamagnetic and paramagnetic materials.
x) What is polymer degradation?
i) List the symmetry elements for BF3, which is a planar trigonal molecule.
ii) Draw the first Brillouin zone for a 2D square reciprocal lattice.
iii) Explain with a diagram what type of a bond is formed between Magnesium and
Oxygen.
iv) Explain how a linear monoatomic chain behaves as a low pass filter.
v) What are the basic assumptions of Einstein’s theory for the specific heat of a solid?
vi) Calculate the probability for an electron to be found at an energy of (EF +2kBT) in a
metal.
vii) Explain with the help of diagrams the magnetism in a superconductor when it is cooled
in the presence of a magnetic field.
viii) What is the significance of a negative effective mass?
ix) Write down the difference between diamagnetic and paramagnetic materials.
x) What is polymer degradation?
Solid State Physics
If the length of a wire of steel is increased 6%, than will the diameter get reduced 4%?explain with poisson ratio?
Solid State Physics
Two metallic wires of the same material and same length but different cross rational areas are joined together ( in series) and ( in parallel ) ,to a source of amf. in which of the two wires will the drift velocity of electron be more in each of the two cases and why?
Solid State Physics
Draw the first Brillouin zone for a 2D oblique reciprocal lattice.
Solid State Physics
A plane intercepts the x-axis at 3a, the y-axis at 2b and the z-axis at 4c. Determine the
Miller indices of this plane.
Miller indices of this plane.
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#340153 on Dec 2023
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