MSE303: Electronic and Magnetic Properties of Materials
Practice Problems Set 7
(not to be submitted)
Topics covered: Magnetic Properties
1. Calculate the saturation magnetization for Fe3O4 given that each cubic unit cell contains
8 Fe+2 and 16 Fe+3 ion

Chapter Two
Quantum Mechanical View of Electrical Conduction
In year 1926, Enrico Fermi and Paul Dirac established statistics for a system comprising of many
identical particles that obey Pauli exclusion principle. Certainly electron then must obey FermiD

1
MSE303: Electronic and Magnetic Properties of Materials
2016-17 1st Semester
Quiz # 2 Date: August 27th, 2016 (5:00PM)
Time: 50 Minutes
Total Marks: 30
Name:
Roll No.:
Important Instructions, data and equations:
1. Answer all questions in given desig

1
MSE303: Electronic and Magnetic Properties of Materials
2016-17 1st Semester
Quiz # 3 Date: October 3rd, 2016
Time: 60 Minutes
Total Marks: 30
Name:
Roll No.:
Important Instructions:
1.
2.
3.
4.
Answer all questions in given designated space only.
Pr

MSE303: Electronic and Magnetic Properties of Materials
2016-17 1st Semester
Practice Set #2 (not to be submitted)
1. Non-degenerate states in a 1-D crystal of lattice parameter a are described by =
% ' cos within in 1st Brillouin zone for % > ' > 0.
a.

MSE303: Electronic and Magnetic Properties of Materials
2016-17 1st Semester
Practice Set #1 (not to be submitted)
1. Using Drudes model for calculating electron densities (free electron or conduction
electron densities), calculate Fermi radius " , Fermi

MSE303: Electronic and Magnetic Properties of Materials
2016-17 1st Semester
Practice Set #5 (not to be submitted)
Topics covered: Semiconductors, p-n junction, metal-semiconductor junction
1. Show that for metal-deficient non-stoichiometric ionic oxide (

MSE303: Electronic and Magnetic Properties of Materials
2016-17 1st Semester
Practice Set #4 (not to be submitted)
Topics covered: Semiconductors, p-n junction, metal-semiconductor junction
1. For intrinsic GaAs, calculate the Fermi level Energy at room t

MSE303: Electronic and Magnetic Properties of Materials
2016-17 1st Semester
Practice Set #2 (not to be submitted)
1. Derive an expression for change in momentum with time for electrons with
relaxation time of , under a time dependent force ().
2. Show th

MSE303: Electronic and Magnetic Properties of Materials
Mid-Term Examination - Solution
Time: 120 minutes
Total Marks: 40
1. Short answers (to the point and brief, use schematics and equations if required)
a) (2 points) Why do we use Fermi-Dirac distribut

NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
VOLUME 1, ISSUE 1 NOVNOV-2014
Analysis of Ductile-to-Brittle Transition Temperature of Mild Steel
Mr. Sahadev Shivaji Sutar
Department of Mechanical

ESO 208A
Computational Methods in Engineering
Lecture 21
Office Hours
o Monday 5:00 to 7:00 pm
o Friday 12:00 to 1:00 pm
Comments on QR method
Like power method, the QR methods works best for nondefective matrix, i.e. matrices with complete basis of
eige

Chapter 15
Non-linear Dielectrics
Suggested Reference: Principles of Electronic Ceramics, by L. L. Hench and J. K. West, Wiley
Non-linear dielectrics, as the name suggests do not have linear dependence of polarization on
electric field as we had discussed

Chapter Sixteen
Optical Properties of Materials
Optical properties of a material are basically its dielectric response at high frequency, i.e.
frequency of light (visible region). Frequency of light is in the order of 1015 Hz. Hence,
to understand optical

Chapter Seventeen
Magnetic Properties of Materials
In this chapter we will discuss magnetic properties of materials. These magnetic properties can
be broadly classified as
Diamagnetism,
Paramagnetism and
Ferromagnetism.
Diamagnetism and paramagnetism are

Chapter Eight
Semiconductors (Intrinsic)
In the last chapter we discussed electronic structure of semiconducting materials. We saw that
based on their electronic structure, semiconducting materials can have varying electronic and
opto-electronic prope

Chapter Seven
Electrical Conductivity in Metals
In this chapter we will discuss electrical conductivity in metals in the light of band theory of
electrons (chapter-5) and electron dynamics (chapter-6) discussed in previous chapters.
We should note that, w

Chapter Five
Electrons in Crystals Energy Bands
In chapter 4 we discussed how electrons behave in an empty lattice (empty lattice model) without
the effect of periodic potential that electrons must feel due to periodic arrangements of ions. In the
previou

MSE303: Electronic and Magnetic Properties of Materials
Practice Problems Set 4
(not to be submitted)
Topics covered: Ionic Conductivity
1. LiF has a Schottky formation energy (enthalpy) of 2.34 eV and a bandgap of 13.6 eV. Write
defect reaction for

MSE303: Electronic and Magnetic Properties of Materials
Practice Problems Set 3
(not to be submitted)
Topics covered: Intrinsic and Extrinsic semiconductors, - junction
1. A Si sample is doped with 9x1015 cm-3 monovalent donors and 5x1014 cm-3 monov

MSE303: Electronic and Magnetic Properties of Materials
Practice Problems Set 5
(not to be submitted)
Topics covered: Linear and Non-Linear Dielectrics
1. A 2 cm diameter and 0.25 mm thick disk of steatite was measured to have a capacitance of
7.2 F.

MSE303: Electronic and Magnetic Properties of Materials
Practice Problems Set 1
(not to be submitted)
!
Topics covered: Drude and Sommerfelds model, Quantum Mechanics Review, Free Electron
Theory, Crystal Structure and Brillouin Zone
!
1.! For Na, ! (300K

MSE303: Electronic and Magnetic Properties of Materials
Practice Problems Set 6
(not to be submitted)
Topics covered: Optical Properties
1. A ray of light which is traveling in a glass medium of refractive index " = 1.45
becomes incident on a less dense

SOLUTION MID SEMESTER EXAMINATION
MSE410/MSE303: Electronic and Magnetic Properties of Materials
1.
I.
What is the intrinsic carrier density in Si at 300K
a. 1.0 x 1010/cm3
b. 1.5 x 1010 /cm3
c. 1.0 x 1012 /cm3
d. 1.5 x 1012 /cm3
II.
Where does the intri

MSE303: Electronic and Magnetic Properties of Materials
2015-16 Semester I
End-Term Examination - Solution
Total Time: 180 mins
Total Marks: 80
Important Instruction (read carefully before starting)
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
All of your work shou

MSE303: Electronic and Magnetic Properties of Materials
Practice Problems Set 2
(not to be submitted)
Topics covered: Brillouin Zone, Empty lattice model, Kronig-Penny model
1. Calculate and plot the empty lattice energy bands for the FCC lattice fr

MSE303A: Electronic and Magnetic Properties of Materials
2014-15 First Semester
End-Term Solution
Time: 180 minutes
Total Marks: 75
Instructions: (read first)
(a) Please be brief and to the point in all your answers (negative marking for excessive writing

MSE303A: Electronic and Magnetic Properties of Materials
2014-15 First Semester
Mid-Term Solution
Time: 120 minutes
Total Marks: 40
Instructions: (read first)
(a) Please be brief and to the point in all your answers (negative marking for excessive writing

Chapter 10
Introduction to quantum
mechanics
David Morin, [email protected]
This chapter gives a brief introduction to quantum mechanics. Quantum mechanics can be
thought of roughly as the study of physics on very small length scales, although the