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
Problem Set #8
Prof. D. C. Chrzan
The remarkable properties of steel stem from the fact that Fe can undergo a transformation
from the BCC structure to the FCC structure. H
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.) The primitive lattice vectors are given by:
1 JE
a=a -——
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
(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
MSE 102, Fall 2013
Problem Set #5
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 o
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 . (10 points for each part)
1. Plot the lattice points de
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