MSE 102, Fall 2013
Prof. D. C. Chrzan
Problem Set #2
1. (25 points) You might think that the [ hkl ] is perpendicular to the plane ( hkl ) .
However, this is not always the case. Show that the [ hkl ] direction is only perpendicular
to the ( hkl ) plane f
MSE 102 Fall 2011
Problem Set 4 Solutions
James Mastandrea
Problem Set 4 Due Date: 9/22/2011
1
Question 1
For this problem we are told that the crystal has symmetry described by plane group 9, c2mm. This plane
group describes rectangular systems. Since th
MSE 102 Fall 2011
Problem Set 1 Solutions
James Mastandrea
Problem Set 1 Due Date: September 1, 2011
1
Question 1
First set of primitive lattice vectors, with the corresponding [2 3] direction, and 1 3 point.
Second set of primitive lattice vectors, with
MSE 102, Fall 2013
Prof. D. C. Chrzan
Problem Set #3
1. (20 points each) For each of the following structures, identify:
A set of primitive lattice vectors.
A primitive unit cell.
The complete set of symmetry operations of the given object. Show the
sy
MSE 102 Fall 2011
Problem Set 2 Solutions
James Mastandrea
Problem Set 2 Due Date: 9/8/2011
Note: To distinguish between lines and the mirror planes, mirror planes are highlighted
with a blue line.
1
Question 1
Associated lattice points, a set of lattice
Chapter
GENERATION,
RECOMBINATION,
AND THE BASIC EQUATIONS
xi 0F DEVICE PHYSICS
INTH DD UCTIGH
conductors have been reviewed. In the present chapter, the inter—
action between these two basic components of a solar photovoltaic
system is examined.
' This l
October 9, 2008
MSE 102: Structure and Bonding
Midterm Exam
SOLUTIONS
SID: _
Signature: _
Materials Science and Engineering 102
Structure and Bonding
Prof. Stephen L. Sass
Midterm Examination
Duration: 1 hour 20 minutes
Closed book. Closed notes. No calcu
MSE 102, Fall 2007 Midterm #1
Write your name here:
Instructions:
' Answer all questions to the best of your abilities. Be sure to write leginy and
state your answers clearly.
The point values for each question are indicated.
You are not allowed to use no
NAMEwEL
FIRST EXAM
MSE102
Thursday October 6* 2005
One. side. of an 8.5x11" sheaf and o calcularor' is allowed. Closed book and nofes.
1. SHORT ANSWER QUESTIONS
a. Who? is The Bravais lattice and basis of he
hexagonal [om-ice. wrt'lna basis D'l' Two M r
(See below)
(See below)
We can find the direction using the zonal equation, which we recall is given by:
For the plane (
For the plane (
):
):
uh + vk + wl = 0
u + v - 2w = 0
u-v
=0
(I)
(a)
(b)
It is easy to see that (b) yields u = v, and combing this wit
Due to the particle in the 1D
box boundary conditions,
pls refer to the lecture notes
The energy calculated from the uncertainty
principle is in the same order of magnitude as
the ground state energy (1D box); as a result,
we can determine and locate the
NAME Aasmgg Keg
FIRST HAM
M55102
Thursday OcTober' 7Th 2004
One side of an 8.5x11" sheeT and a calculaTar is allowed. Closed book.
1. SHORT ANSWER QUESTIONS
a. Name and skeTch four auT of The 14 Bravais laTTices. Name on examEle of each. [8]
mums
1' w
g
H.522]; h := cfw_[1, -0.57), cfw_1, 0.51)
(.Dinna the primtiva latica vectoraicoordinates of points.)
pta :=T11plas[Ranga[10, 10] , 2] .1;
Generate a list of lattice points from primitive lattice vector-t)
m a LiItE'lotata, Plotlianga a cfw_(-3, 3 , cfw_-
MSE 102, Fall 2016
Prof. D. C. Chrzan
Problem Set #3
The following structure is a binary alloy composed of blue and red atoms.
Identify the plane group describing this structure.
o (7 points) Begin by marking a set of points that are identical by symmetry
Problem Set #6
MSE 102 Fall, 2016
(1) In some materials, application of a stress can lead to the development of an electric
dipole moment, P. Recall that the electric moment of a material is given by:
P=
q r
(1)
where q is the charge at position r.
The re
MSE 102, Fall 2016
Problem Set #4
Prof. Daryl C. Chrzan
1. The figure below depicts a typical lattice plane in a typical crystal. It might help to refer
to this figure for specific examples of the structure of lattice planes for answer
MSE 102, Fall 2016
Prof. D. C. Chrzan
Problem Set #5
(1) (5 points each) The following stereograms have indicate directions that are
equivalent by a single cyclic symmetry element. Indicate the symmetry operation
on the stereographic projection that makes