Lecture 18: Laue, Bragg, Ewald (Hammond Ch 8)
Students should be able to:
1. Understand that Laues construction is the condition for
constructive interference in 1, 2, or 3 dimensions
2. Draw Braggs law in geometric and vector forms
3. Use the Ewald spher
Lecture 13: Crystal planes (Hammond Ch 5)
Students should be able to:
1. Determine directions in crystals
2. Determine planes in crystals
3. Understand that any set of planes permeates a crystal
4. Calculate plane spacing for orthogonal coordinates
5. Fin
Lecture 10: Symmetry in 2 dimensions
Students should be able to:
1. Followup: Use VESTA to visualize structures
2. Identify lattices, point groups, and plane groups
3. Identify symmetry elements: Apply to motif or find in a structure
Borax (Wikipedia)
Ara
Lecture 12: Space groups (Hammond Ch 4)
Review informal early feedback
Students should be able to:
1. Perform the Voronoi construction
2. Understand 3D symmetry elements that lead to space groups
3. Understand that chiral solids (enantiomers) exist, as in
Lecture 9: Intro to crystal structures
Students should be able to:
1. Use VESTA to visualize structures and plot in informative ways
2. Explore bonding and coordination
3. Find crystal structures using COD and ICSD
4. Understand reasons for more complex s
Lecture 11: Symmetry in 3 dimensions
Students should be able to:
1. Identify 3D Bravais lattices and crystal systems
2. Recognize that a lattice can often be described by many unit cells
3. Perform the Voronoi construction
Turn in HW1
Informal feedback fo
Lecture 14: Reciprocal Space (Hammond Ch 6)
Students should be able to:
1. Find plane spacings in orthogonal axes
2. Understand the origins 1-D and 2-D reciprocal lattices
3. Understand that non-P lattices have extinctions (forbidden spots)
Plane spacings
MSE 405: Microstructure Characterization
Midterm Exam, Spring 2014
Closed book. 63 points maximum
Name:
1. [15 points] Recall that peaks in scattered intensity are observed when waves
interfere constructively. Consider the diagram below where coherent wav
MSE 405: Microstructure Characterization
Name:
Midterm Exam, Spring 2015
Closed book. No graphing calculator. 4 page/5 question exam
1. [20 points] Cu crystallizes in the FCC structure and is used as a substrate
for many patterning experiments. Copper has
,
Geometric Optics
I[
LOOKING
AHEAD
Geometric optics ignores diffraction effects and
concentrates on the paths of light rays through
sys tems that contain plane or curved mirrors, lenses.
or other optica l components.
Mirrors and lenses produce images of
Geometrical
Optics
5.1
INTRODUCTORY REMARKS
The surface of an object that is either self-luminous or exter
nally illuminated behaves as if it consisted of a very large
number of radiating point sources. Each of these emits spheri
cal waves; rays emanate
X-ray Powder Diffraction and Crystallography 1
MSE 405 Spring 2016
Table of Contents:
1.
2.
3.
4.
Prelab Questions
Safety Considerations
Procedure Manual
Steps to Conduct Experiment
a. Shot Noise, Statistical Errors, and Data Acquisition Time
b. Indexing
Optics Laboratory 1
MSE 405 Spring 2016
Table of Contents:
1. Prelab Questions
2. Safety Considerations
3. Objectives
4. Section #1: Geometrical Optics and Calibration of the Camera
5. Section #2: Optical Diffraction in Two Dimensions
6. Optics Rubric
201
Lecture 4: Optics Objectives
1. Understand generation of laser and X-ray light
2. Conceptually and quantitatively draw the diffraction patterns from
1. Many narrow slits
2. One wide aperture
3. Mixtures of many apertures
3. Make analogies between diffract
Lecture 5: Optical Resolution Objectives
1. Make analogies between diffraction gratings & materials
2. Understand how to determine optical resolution with the Rayleigh
criterion
3. Find diffraction patterns and images produced by a microscope
Lets talk ab
MSE 405 Daily Problem Spring 2016
Monday, March 28
Reading: Hammond 8.1-8.4
Important concepts:
Condition for diffraction by Laue's Method
Condition for diffraction by Bragg's Method
Meaning of the Ewald Sphere
1. Laue and Bragg came to the same conclusio
Lecture 7: Bright- and Dark-field
Imaging
Imaging using a beam
and a detector
detector
Bright-field
transmitted
Scanning
beam using
coils or
deflectors
Annular dark field (ADF)
Techniques:
scanning optical microscopy
Scanning transmission electron microsc
Please sit by lab group (with partners!)
Fri
Thurs
Tues
Mon
Front of room
Door
Wed
(Posted on Compass)
The first X-ray diffraction of martian soil
Feldspar
Pyroxenes
Olivine
NASA/JPL-Caltech/Ames http:/photojournal.jpl.nasa.gov/catalog/PIA16217
Imaging: N
Lecture 6: Diffraction Imaging Objectives
1. Review scattering from narrow slits and apertures
2. Understand the formation of simple 2-D diffraction patterns
3. Understand the consequences of placing an aperture in the
diffraction plane of a microscope
4.
MSE 405: Microstructure Characterization
Spring 2016, Daniel Shoemaker
Daily Problem
Via clicker: Monday, February 22
Read: Hammond, 2.1-2.5
We have established that materials form periodic arrangements (Chapter
1) and that waves can diffract from lattice
MSE 405: Microstructure Characterization
Spring 2016, Daniel Shoemaker
Daily Problem
Via clickers: Wednesday, February 24
Read: Hammond, 3.1-3.4
There are many ways to choose unit cells for a given lattice. Symmetry
elements often determine what is the be
MSE 405: Microstructure Characterization
Spring 2016, Daniel Shoemaker
SOLUTION
Homework 2 [40 points]
To be turned in at the start of lecture: Wednesday, February 24
Reading: Hammond Chapter 7, Chapter 1, Compass resources
For this assignment, we will in
MSE 405 Daily Problem
Monday, March 7
Reading: Hammond 6.1-6.5
Important concepts:
Reciprocal lattice vectors
Constructing k-space cells from Bravais lattices
Expressions for k-space lattice vectors
1. Consider the x-y projection of a unit cell below. The
MSE 405: Microstructure Characterization
Spring 2016, Daniel Shoemaker
Homework 2 [20 points]
To be turned in at the start of lecture: Wednesday, March 9
Reading: Hammond Chapter 2-5, Compass resources
Here we investigate the symmetry elements and pattern
Lecture 8: Simple crystals (Hammond Ch1)
Students should be able to:
1. Identify and draw simple structures: FCC, BCC, HCP
2. Quickly give coordinates for these structures
3. Calculate hard-sphere interatomic distances, interstitial radii
4. Identify stac
MSE 405: Microstructure Characterization
Spring 2016, Daniel Shoemaker
Homework 2 [20 points]
To be turned in at the start of lecture: Wednesday, March 9
Reading: Hammond Chapter 2-5, Compass resources
Here we investigate the symmetry elements and pattern