Mark Lundstrom
9/27/13
SOLUTIONS: ECE 656 Homework (Week 6)
Mark Lundstrom
Purdue University
1) In Lecture 14, we discussed M(E) for a 3D semiconductor with parabolic energy bands.
Answer the following two
Mark Lundstrom
Goals for Exam 2: ECE 656 Week 6, Monday, September 23, 2013
Mark Lundstrom
Purdue University
The exam will be conducted in class and will consist of three questions. You should bring a
ca
Mark Lundstrom
9/24/13
ECE 656 Homework (Week 7)
Mark Lundstrom
Purdue University
1) In Lecture 15, we derived a current equation for a 2D, n-type conductor and wrote it as
J n = S d ( Fn q ) dx . Derive the
Quiz Answers: Week 6
ECE 656: Electronic Conduction In Semiconductors
Mark Lundstrom
Purdue University, Fall 2013
Lecture 13 Quiz :
1) What are the special properties of a contact in the Landauer model?
a) S
Mark Lundstrom
9/7/13
ECE 656 Homework 2 (Weeks 3 and 4)
Mark Lundstrom
Purdue University
1) Let ( p ) E ( p ) be the magnitude of the energy flux of a beam of electrons with initial
momentum, p = pz z . Wri
NAME:_
PUID: :_
ECE 656 Exam 1: Fall 2013
September 6, 2013
Mark Lundstrom
Purdue University
(Revised 9/11/13)
This is a closed book exam. You may use a calculator and the formula sheet at the end
Quiz Answers: Week 5
ECE 656: Electronic Conduction In Semiconductors
Mark Lundstrom
Purdue University, Fall 2013
(Revised 9/20/13)
Lecture 10 Quiz :
1) Emission is proportional to the number of phonons and ab
Mark Lundstrom
8/13/2013
ECE 656 Homework 1: Week 1
Mark Lundstrom
Purdue University
1) Working out Fermi-Dirac integrals just takes some practice. For practice, work out the
integral
I1 =
M ( E ) f ( E )
Mark Lundstrom
1)
2)
3)
8/29/2013
ECE 656 Homework 2 (Week 2)
Mark Lundstrom
Purdue University
Revised 8/29/13
Assume T = 0K and work out the electron density per unit area for two cases:
i)
A 2D
Quiz Answers: Week 7
ECE 656: Electronic Conduction In Semiconductors
Mark Lundstrom
Purdue University, Fall 2013
Lecture 15 Quiz :
1) The electron current equation commonly used in semiconductor physics is writt
NAME:_
PUID: :_
SOLUTIONS: ECE 656 Exam 2: Fall 2013
September 23, 2013
Mark Lundstrom
Purdue University
(Revised 10/24/13)
This is a closed book exam. You may use a calculator and the formula shee
Quiz Answers: Week 2
ECE 656: Electronic Conduction In Semiconductors
Mark Lundstrom
Purdue University, Fall 2013
Lecture 4 Quiz :
1) The 1D DOS is given by D1D = 2 ( ) . What are the units of this expressi
Mark Lundstrom
SOLUTIONS: ECE 656 Homework (Week 5)
Mark Lundstrom
Purdue University
(Revised 9/23/13)
1) This problem concerns electron scattering in bulk (3D) GaAs. Assume that the optical
phonon energy is
NAME:_
PUID: :_
SOLUTIONS: ECE 656 Exam 1: Fall 2013
September 6, 2013
Mark Lundstrom
Purdue University
(Revised 9/11/13)
This is a closed book exam. You may use a calculator and the formula sheet
Mark Lundstrom
8/29/13
Goals for Exam 1: ECE 656 Week 3, Thursday, September 6, 2013
Mark Lundstrom
Purdue University
(revised 8/30/13)
The exam will be conducted in class and will consist of three quest
Mark Lundstrom
ECE 656 Homework (Weeks 15-16)
Mark Lundstrom
Purdue University
(Revised 11/28/13)
1) Monte Carlo simulations of high-field transport in bulk silicon with an electric field of
100,000 V/cm show t
Mark Lundstrom
10/5/13
SOLUTIONS: ECE 656 Homework (Week 7)
Mark Lundstrom
Purdue University
(Revised 10/30/13)
1) In Lecture 15, we derived a current equation for a 2D, n-
type conductor and wrote it as
J
Mark Lundstrom
10/19/13
SOLUTIONS: ECE 656 Homework (Week 9)
Mark Lundstrom
Purdue University
1) It is sometimes said that Ficks Law of diffusion, J = D dn dx , only applies when the
region of interest is many
Mark Lundstrom
SOLUTIONS: ECE 656 Homework (Week 12)
Mark Lundstrom
Purdue University
1)
10/30/13
Show that the following relation (eqn. (4.119) in Fundamentals of Carrier Transport) is
true:
e
!
"
R
# S MN
Mark Lundstrom
SOLUTIONS: ECE 656 Homework (Week 13)
Mark Lundstrom
Purdue University
(Revised 11/20/13)
1) Repeat the derivation of the current equation presented in L31 (L28 of Fall 2009), but
this time, d
Mark Lundstrom
10/27/13
SOLUTIONS: ECE 656 Homework (Weeks 1011)
Mark Lundstrom
Purdue University
1) Consider a semiconductor with a slowly varying effective mass, m*(x). Following the
procedure in Lecture
Quiz Answers: Week 12
ECE 656: Electronic Conduction In Semiconductors
Mark Lundstrom
Purdue University, Fall 2013
Lecture 29 Quiz :
1) What is the major problem with a 2probe (as opposed to 4probe) measurement
Quiz Answers: Week 13
ECE 656: Electronic Conduction In Semiconductors
Mark Lundstrom
Purdue University, Fall 2013
(Revised 11/6/13)
Lecture 31 Quiz :
1) In this lecture, we wrote the general balance equation for
Quiz Answers: Week 11
ECE 656: Electronic Conduction In Semiconductors
Mark Lundstrom
Purdue University, Fall 2013
Lecture 26 Quiz :
1) When we write the collision integral like this:
Cf ( r , p, t ) = S ( p p )
Quiz Answers: Week 10
ECE 656: Electronic Conduction In Semiconductors
Mark Lundstrom
Purdue University, Fall 2013
(Revised 10/30/13)
Lecture 23 Quiz :
d k
1) The equation of motion for an electron in k-
space is
Mark Lundstrom
8/24/2013
SOLUTIONS: ECE 656 Homework 1: Week 1
Mark Lundstrom
Purdue University
1) Working out Fermi-
Dirac integrals just takes some practice. For practice, work out the
integral
M ( E
Mark Lundstrom
8/24/2013
SOLUTIONS: ECE 656 Homework 2 (Week 2)
Mark Lundstrom
Purdue University
1)
Assume T = 0K and work out the electron density per unit area for two cases:
i)
A 2D semiconductor wit
Quiz Answers: Week 1
ECE 656: Electronic Conduction In Semiconductors
Mark Lundstrom
Purdue University, Fall 2013
Lecture 2 Quiz :
1) Which bandstructure below best describes graphene?
*
a) E = EC + 2 k 2 2 mn
Mark Lundstrom
SOLUTIONS: ECE 656 Homework 2 (Weeks 3 and 4)
Mark Lundstrom
Purdue University
(Revised 9/20/13)
1) Let p E p be the magnitude of the energy flux of a beam of electrons with initial
momentu