Assignment #5 Homework Problems and Reading Due Wednesday 1 March 2017
Please read Cullity Chapter 4-9 through 4-13.
Solve the following Problems, two points each:
All Students:
Cullity Prob 2-24
Cullity Prob 3-4
535 Student also work on:
Cullity 4-5
c
c
Assignment #2
Please read Cullity Chapter 2-4 through 2-9, and then solve the following problems, two points each:
All students do Problem 2-2 and 2-6 in Cullity.
535 Students also complete D as described below.
Problem D (two points): Show, using sketche
Cullity Prob. 2-6 Solution
Given Planes (-1 1 0), (-3 1 1), (-1 -3 2) find the zone axis and give at least one additional plane in the
zone.
Using eqn. 2-7 on the first two,
[u v w] = [ h1 k1 l1 ] x [h2 k2 l2 ]
U = 1-0 = 1
V = 0 - -1= 1
W = -1 - -3 = 2
So
Cullity problem 1-6, extension C
First, remember that / only has a smooth, monotonic behavior on a Branch
between absorption edges, where it undergoes abrupt changes. We must confirm
that the emission X-ray lines to use belong to a single branch. The uppe
Verify (Assess) / = k3Z3
Cullity problem 1-6
With Pb absorber and three X-ray lines
Using X-ray lines from Appendix 7 of Cullity
(K1 )
Element
Mo
Rh
Ag
(K2 ) (K )
3
/ [cm^2/g]
0.7093
0.7136
0.7107
0.3590
122.8
0.6133
0.5594
0.6176
0.5638
0.6147
0.5609
0.2
Cullity problem 1-7
With 1mm Pb absorber and Cu Ka and Mo Ka incident
density =
11.33 [g/cm3]
Using X-ray lines from Appendix 7 of Cullity
Element
Cu
Mo
SWL @ 30kV
(K )
1.5418
0.7107
0.4133
/ [cm2/g]
232.1
122.8
33.7
from Prob. 1-6
Thickness [cm]
0.1
0.1
Please read chapter 1 in Cullity and then solve the following problems two points each:
All students do Problem 1-6 and 1-7 in Cullity. If you wish to look up some X-ray wavelengths, please use
the more complete table at
http:/www.kayelaby.npl.co.uk/atomi
Assignment #3 Due Wednesday 8 Feb 2017
Please read Cullity Chapter 2-10 through 2-12, and 3-1 through 3-6
Then solve the following problems, two points each:
All students do:
Ex3-1: The unit cells of several orthorhombic are given below. Draw plans of eac
Assignment #4 Homework Problems and Reading Due Wednesday 22 Feb 2017
Please continue reading Cullity Chapter 3-8, 4-1 through 4-3, plus 4-4 through 4-8
Solve the following Problems, two points each:
All Students:
Cullity Prob 2-1: To be definite and simp
MSCI406
HOMEWORK 03
4-3: Basis of two unlike atoms. for the problem treated by (18) to (26), find the
amplitude ratios u/v for the two branches at Kmax = /a. Show that at this value of K
the two lattices act as if decoupled: one lattices remains at rest w
MSCI406
HOMEWORK 06
14-4: Heat capacity from internal degrees of freedom. (a) Consider a two-level system with
an energy splitting kB between upper and lower states; the splitting may arise from
a magnetic field or in other ways. Show that the heat capaci
MSCI406
HOMEWORK 04
6-1: Kinetic energy of electron gas. Show that the kinetic energy of a three-dimensional
gas of N free electrons at 0K is U0 = 53 N F
2
The energy eigenvalues are k = 2m k 2 . The mean value over the volume of a sphere in k space is
2
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Announcement:
Quiz today the last 15 minutes of class.
No homework due this week.
The six factors which determine
intensities of diffracted beams:
1)
Polarization factor, because the beam is not polarized,
I (1+cos2(2)/2
2)
Structure factor Ihkl Fhkl*Fhkl
Mon. 7 Mar 2016
Hwk #4 scores:
min median max perfect
435: 1.8
2.65 4.0
4.0
535: 2.75 5.25 6.0
6.0
Answers were posted on OwlSpace Feb. 20.
Due to issues with problem 2-23 as discussed last class:
A problem to replace 2-23: (optional)
Mica (muscovite) has
Announcement:
Quiz Monday 22 Feb. about crystal systems and Bravais
lattices.
One alternative to the Williamson-Hall method is the WarrenAverbach method of fourier analysis. Need some software for
this.
Better still is the double Voight method described b
Mon. 21 Mar 2016
Announcements:
There will have to be a test soon. It will be a take-home, perhaps
given out this Friday and returned next week.
Instructor should have assigned two homework problems this week.
Maybe we can still squeeze one in.
There is a
class cancelled 8 & 10 Feb. 2016
due to illness of instructor
Claim your homework #2 papers
by first letter of last name
LEFT:
RIGHT:
Undergrads
Students
435
535
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nearest door
podium
Grad
Aat
Announcements
Hwk #4 posted on OwlSpace
min median max
Hwk
Mon. 14 Mar 2016
Announcements:
There will have to be a test soon. It will be a take-home,
perhaps given out this Friday and returned next week.
Instructor should have assigned two homework problem this
week. Maybe we can still squeeze one in.
During the
Diffraction can be easily demonstrated using a
common red laser pointer and a common factorymade compact digital audio disk (CD).
Scanning electron microscope photos of a CD,
polycarbonate removed to show bumps.
Scanning tunneling microscope photo of CD
s
Continuing with
Geometry of Crystals
including Cullity Chapter 2
Close packing and stacking sequence
Close-packed structures are formed by stacking of close-packed
planes.
Stacking sequence for FCC = ABC
and for
HCP = AB.
Instructor will draw these clo
Claim your homework papers
by first letter of last name
LEFT:
RIGHT:
Undergrads
Students
435
535
A-L
L
nearest door
podium
Grad
Aat
Announcements
Hwk #3 posted on OwlSpace
Hwk #1 scores
min median max
435: 1.5
3.9
4
535: 3.0
5.25
6
Please note on problem
Cullity Fig. 1-8, mass absorption coefficient of Ni as a function of wavelength.
Along each curved segment / = k 33 where Z is atomic number.
For a given material, between its absorption edges kZ3 is constant. Then
knowing any one point on a curved segmen