### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Engr 313 Weeks 3 and 4 Engr 313

OleMiss

GPA 3.47

### View Full Document

## About this Document

## 21

## 0

## Popular in Introduction to Materials Science

## Popular in General Engineering

This 4 page Class Notes was uploaded by Andres Rodriguez on Saturday September 24, 2016. The Class Notes belongs to Engr 313 at University of Mississippi taught by Dr. Amrita Mishra in Fall 2016. Since its upload, it has received 21 views. For similar materials see Introduction to Materials Science in General Engineering at University of Mississippi.

## Similar to Engr 313 at OleMiss

## Reviews for Engr 313 Weeks 3 and 4

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/24/16

Chapter 3 (Continued): Atomic and Ionic Arrangements Points, Directions, and Planes in the Unit Cell: Directions in the Unit Cell: There is a shorthand notation called Miller indices (h, k, l) used to describe directions. 1. Use a three dimensional coordinate system (Make sure it is properly labeled). 2. Trace a vector (line) from the origin to your point in the x-axis. 3. Locate your point in the y-axis, but before tracing a vector, you have to adjust the location of that point since you will be tracing the line from the head of the previous vector, not from the origin. Once you adjust your point, you can trace the vector. 4. Locate your point in the z-axis and go through the same adjusting process just explained. Once done, trace your vector from the head of the y-axis vector to your z-axis point. 5. Finally, trace a vector from the origin to the head of the vector just traced (z-axis). This is going to be the direction of your coordinates. An example will be attached in a picture (Ex 1) NOTE: If you have direction vector coordinates that are higher than one you can divide the whole vector by a common factor, so that way your highest point is and your direction vector fits in a single unit cell. Example will be attached (Ex 2). Also, if you there is a negative point, you can change your origin location so the vector fits in one unit cell (Ex 3). The number one represents the distances between the corners of the unit cell (cube), that is why the coordinate points cannot be higher than 1 if you want to use a single unit cell. Planes in the Unit Cell: The same miller indices in this case 1. Use a three dimensional coordinate system (Make sure it is properly labeled). 2. Mark a point on the x-axis in the place that your coordinate indicates with respect to he origin. 3. Do the same thing for the y-axis and the z-axis. 4. Trace lines that join each point with the subsequent marked point, creating some sort of area. 5. Shade such area and that is your unit cell plane. (Ex 4) NOTE: The same modifications performed in the unit cell directions can also be applied to the unit cell planes. Also, when one of the coordinate points is 0, you just mark the other two points and then mark parallel points two each of them. This allows you to create an area, which will be your plane (Ex 5). In the case of having just one coordinate point, the area is going to be the face of the unit cell (cube) that corresponds to the axis (Ex 6). Close Pack Planes and Directions: Structure Directions Planes SC <100> None BCC <111> None FCC <110> {111} HCP <100>, <110>, <11-20> (0001), (0002) Linear and Planar Densities and Packing Density (LD, PD, LDP, PPD), and Packing Fraction: LD = Number of atoms centered on a direction vector / Length of the direction vector PD = Number of atoms centered on a given plane / Area of the plane LDP = Number of radii along a direction vector / Length of the direction vector PPD = Area of atoms centered on a given plane / Area of the plane Packing Fraction = 2*r*LD Diffraction Technique for Crystal Structure Analysis: Bragg Law: λ sinӨ= 2d hkl ao dhkl √h +k +l 2 Where, h, k, l = Miller indices ao= Lattice parameters dhkl Interplanar spacing Ө = Bragg angle 2Ө = Diffraction angle

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.