MSE 104: Materials Characterization
Homework 4
Spring 2016
Instructor: Lane W. Martin
Answer the following questions and provide as many details and as much work as possible to
assure partial credit. Recall that homeworks may be completed in groups of two
Problem 4-2!
B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rd Ed., Prentice Hall, (2001)
4-2 Consider the highest-angle line on the diffraction pattern of Cu and Pb, measured at 20C
with Cu K radiation. By what percentage is the intensity o
Solutions
UNIVERSITY OF CALIFORNIA College of Engineering Department of Materials Science & Engineering MSE 104 Spring Semester 2008 Professor R. Gronsky
Midterm 02
Instructions This is an OPEN-book (textbook only) exam. Calculators and drawing tool
Berkeley
UNIVERSITY OF CALIFORNIA
MATERIALS SCIENCE & ENGINEERING
MSE 104 Materials Characterization
Chapter 1: Properties of X-rays
Instructor: Lane Martin
Department of Materials Science & Engineering | UC Berkeley
February 24, 2016
1
Diffraction
Berkel
PROBLEM 1-1
B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rd Ed., Prentice Hall, (2001)
1-1 What is the frequency (per second) and energy per quantum (in joules) of x-ray beams of wavelength 0.71 (Mo K) and 1.54 (Cu K)?
Solution
Con
Solutions
UNIVERSITY OF CALIFORNIA College of Engineering Department of Materials Science & Engineering MSE 104 Spring Semester 2008 Professor R. Gronsky
Midterm 01
Instructions This is an OPEN-book (textbook only) exam. Calculators and drawing tool
MSE 104: Materials Characterization
Homework 1
Spring 2016
Instructor: Lane W. Martin
Answer the following questions and provide as many details and as much work as possible to
assure partial credit. Recall that homeworks may be completed in groups of two
PROBLEM 3-5
B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rd Ed., Prentice Hall, (2001)
3-5 Sketch the Ewald sphere construction for a 200 diffraction with Mo K radiation and a polycrystalline specimen of a simple cubic substance with
UNIVERSITY OF CALIFORNIA College of Engineering Department of Materials Science & Engineering Professor R. Gronsky
MSE 104
Solution 2-14
Problem 2-14 Pole A, whose coordinates are 20N, 50E, is to be rotated about the axes described below. In each
PROBLEM 2-14
B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rd Ed., Prentice Hall, (2001)
2-14 Pole A, whose coordinates are 20N, 50E, is to be rotated about the axes described below. In each case, find the coordinates of the final pos
PROBLEM 4-4
B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rd Ed., Prentice Hall, (2001)
4-4 Derive simplifiedmA expressions for F2 for diamond, including the rules governing observed g 2 4 = contains -4 Mg 106 reflections. This crysta
Berkeley
UNIVERSITY OF CALIFORNIA
MATERIALS SCIENCE & ENGINEERING
MSE 104 Materials Characterization
Instructor: Lane Martin
375 HMMB | Monday 3:30-4:30PM and Wednesday 2:30-3:30PM
GSIs:
Chris Barrett (Tuesday 11:00AM-12:00PM)
Gio Gajudo (Thursday 1:00-2:
Bonding
Bonding is primarily by valence electrons
Bonding is electrostatic
The chemists model
Chemical bonds are localized between atoms
The physicists model
Electrons wander through the solid
Electron states are gathered into bands
MSE 200A
Fall,
The Face-Centered Cubic (fcc) and
Hexagonal Close-Packed (hcp) Structures
c
a
a
Fcc: atoms at the corners of the cube and in the center of each face
Is a Bravais lattice, but drawn with 4 atoms/cell to show symmetry
Found in natural and noble metals: A
Three Dimensional Crystal Structures
a3
a1
a2
a3
a1
a2
Three non-collinear basis vectors (a1, a2, a3) define lattice
Identical atom group at each lattice site:
Ri = hia1 + kia2 + lia3
(h, k, l = integers)
Primitive cell is a parallelepiped
Distinguish 14
Defects in Crystals
Imperfections are present in all real crystals
Often, they are added to control properties
Materials engineering is largely defect
engineering
Classify defects by dimension
Point defects: solute atoms (strength, conductivity)
Lin
Thermochemical Properties
Essential features:
Thermodynamics: what material wants to do (forces)
Kinetics: what it can do, and how quickly
Subjects we will study:
Thermodynamics
Properties
Equilibrium phase diagrams
Kinetics
Heat and mass diffusi
An Example Complex Crystal Structure
Perovskite
Structure
CaTiO3
Prototype
http:/mrc.iisc.ernet.in/Research_Areas/01_Perovskite.htm
MSE 200A
Fall, 2011
Mark Asta
1
University of California,
Berkeley
Defects in Crystals
Imperfections are present in all r
Defects in Crystals
Imperfections are present in all real crystals
Often, they are added to control properties
Materials engineering is largely defect
engineering
Classify defects by dimension
Point defects: solute atoms (strength, conductivity)
Lin
MSE 104: Materials Characterization
Homework 5
Spring 2016
Instructor: Lane W. Martin
Answer the following questions and provide as many details and as much work as possible to
assure partial credit. Recall that homeworks may be completed in groups of two
MSE 104: Materials Characterization
Exam 1
Spring 2015
Instructor: Lane W. Martin
MSE 104 Materials Characterization
Instructor L. W. Martin
Exam I Friday February 27, 2015
12:10-1:00PM, 348 HMMB
Name: _
MSE 104 Exam I
Friday February 27, 2015
Student Nam
Berkeley
UNIVERSITY OF CALIFORNIA
MATERIALS SCIENCE & ENGINEERING
MSE 104 Materials Characterization
Chapter 2: Geometry of Crystals
Instructor: Lane Martin
Department of Materials Science & Engineering | UC Berkeley
January 22, 2016
1
Unit Cell
Berkeley
MSE 104 Lab Guide
MSE 104 Laboratory Guide
Prologue The experiments conducted in the laboratory segment of MSE 104 provide hands-on instruction in the most common methods of materials characterization by diffraction, spectrometry, and microscopy. Students
Interatomic Bonding
ISSUES TO ADDRESS.
What promotes bonding?
What types of bonds are there?
What types of properties can be inferred from
bonding?
MSE 200A
Fall, 2011
Mark Asta
University of California,
Berkeley
Bonding
Bonding is primarily by valen
Crystal Structure Analysis
X-ray Diffraction
Electron Diffraction
Neutron Diffraction
Essence of diffraction: Bragg Diffraction
Reading: West 5
A/M 5-6
G/S 3
217
REFERENCES
Elements of Modern X-ray Physics, by Jens Als-Nielsen and Des McMorrow,
John Wiley
What do X-ray powder diffraction
patterns look like?
Powder patterns what information available in pattern?
1. peak positions
2. peak intensities - get crystal structure
3.
4.
peak shape
background structure
Intensities give atom positions
Intensities
X-r
Berkeley
UNIVERSITY OF CALIFORNIA
MATERIALS SCIENCE & ENGINEERING
MSE 104 Materials Characterization
Chapter 5: Diffraction III Real Samples
Instructor: Lane Martin
Department of Materials Science & Engineering | UC Berkeley
February 2, 2016
1
Diffraction
Problem 1-13!
B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rd Ed., Prentice Hall, (2001)
1-13 What voltage must be applied to a molybdenum-target tube in order that the emitted x-rays
excite K fluorescent radiation from a piece of copper p
Problem 2-20!
B.D. Cullity and S.R. Stock, Elements of X-Ray Diffraction, 3rd Ed., Prentice Hall, (2001)
2-20 Show that the twin orientation shown in Prob. 2-19 can also be obtained by
a) Reflection in a cfw_112 plane. Which one?
b) 180 rotation about a <