Question

Solid State Physics

a) Draw the hegzagonal lattice and write the primitive translation vectors of the lattice .

b) Calculate the volume of the primitive cell.

c) Find the primitive translation vectors of reciprocal lattice.

d) Write down the rciprocal lattice vector.

Answer #1

a) A monochromatic x-ray beam gives diffraction of a 18 °C
degree cubic crystal at an angle of 2θ = 150.8 °. When the same
experiment is repeated at a temperature of 318 degrees, the
diffraction angle is 141.6 °. What is the linear expansion
coefficient of this crystal? Calculate.
b) Find the lattice vectors and the angles between the lattice
vectors of conventional and primitive unit cells for surface
centered cubic (FCC) lattice. Find the volume of the unit...

Solid State Physics
Consider a one-dimensional (1-D) atomic lattice with an
interatomic spacing of 5 angstroms (Å). Each atomic site can be
represented by a rectangular-shaped potential well of 1 eV depth
and width of 1 angstrom (Å). Estimate the following parameters: The
width of the 2nd lowest energy band (in eV).

Solid State Physics
Consider a one-dimensional (1-D) atomic lattice with an
interatomic spacing of 5 angstroms (Å). Each atomic site can be
represented by a rectangular-shaped potential well of 1 eV depth
and width of 1 angstrom (Å). Estimate the following parameter: The
lowest energy (in eV) at which an electron starts to behave as a
hole.

Modern Physics: Solid State and Nuclear
Physics
Promethium (Pm) is a very interesting element because it has no
long lived isotopes, and at any given time there is only estimated
to be approximately 500 g distributed through the crust of the
Earth.
a. Write the possible decay reactions for 147Pm.
b. Calculate the disintegration energy for each reaction, and
from this determine the method of decay.
c. Is the resulting daughter nucleus stable?

[[[physics]]]
You are given vectors A →= 5.5 i^− 6.6 j^ and B→= 3.9 i^+ 7.1
j^. A third vector C→ lies in the
xy-plane. Vector C→ is perpendicular to vector A→ and the scalar
product of C→ with B→ is 19.0.
(1) Find the xx -component of vector C→.
(2) Find the y-component of vector C→.

Consider a simple cubic with a 6.0 Å lattice constant. The
measurements of X-ray scattering from the powder sample are carried
out with a 1.5 Å X-ray source.
(a) Using the diffraction condition relating G (a reciprocal
lattice vector), k (the wave vector of the incident X-ray), and k'
(the wave vector of the scattered X-ray) derive a relationship
between |G|, |k|, and the scattering angle θ.
(b) Write a symbolic expression for |G|.
(c) Use the results of parts...

a) Generally, the crystals are expected to expand by
temperature. What are the reasons for this? In which cases, it can
be expected to decrease the size of the objects whose temperature
increases.
b) Explain the reasons for the formation of the forbidden
band.
c) Explain the source of diamagnetism (Paul Langevin 1905).
d) Find the mesh vectors and the angles between the mesh vectors of
conventional and primitive brim cells for volume centered cubic
(BCC) mesh. Find the volume...

Solid State Physics
Find the number of free electrons in copper at 300 K with E = 5
eV and E = 7.1 eV for a sample of volume 1 cm^3. Use the density of
states g(E) and the Fermi-Dirac probability function f(E) to
estimate the number of free electrons. in a metallic solid You need
to multiply a small value of dE (let's say dE = 0.0001 eV) times
g(E) and f(E) and the given volume of 1 cm^3....

Germanium has a
lattice constant of 0.565 nm.
a) Draw the portion of
the (110) plane that resides inside a cubic unit cell flat on the
page. Label the lengths of the edges. Show the arrangement of atoms
whose centers lie on the plane and label the distances between the
centers of the nearest neighbor atoms on the plane. Determine the
value of the atomic radius.
b) Calculate the
planar atomic density of atoms on the (110) plane in atoms/cm2....

Copper crystallizes with a face-centered cubic lattice and has a
density of 8.93 g/cm3.
a.) Calculate the mass of one unit cell of copper (in grams) b.)
Calculate the volume of the copper unit cell (in cm3). c.)
Calculate the edge length of the unit cell (in cm). d.) Calculate
the radius of a copper atom (in pm).

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