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. T
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 ]
MSE 102, Fall 2013
D. C. Chrzan
Problem Set #4
A. Suppose you are told that a given crystal has the symmetry c2mm (plane group No. 9).
Assume the primitive lattice vectors are a = 1.2 e y b = 2 e x .
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
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:
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
MSE 102, Fall 2012 Problem Set #1
Prof. D. C. Chrzan
(l) [40 points] Lattice terminology. The structure. on the next page displays a p i0 of a lattice. (As
you know, a lattice is inﬁnite in extent.) T
MSE 102, Fall 2015
D. C. Chrzan
Problem Set #9
In class, we discussed how the solutions to one problem could be used to find the solutions to a second
problem by, essentially, reducing the problem to
(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
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