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What is burgers vector. Show using burgers circuit construction how to determine the burgers vector for an edge dislocation

What is burgers vector. Show using burgers circuit construction how to determine the burgers vector for an edge dislocation

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question 4: Understanding the Burgers Vector** **What is a Burgers Vector?** The Burgers vector is a fundamental concept in the study of crystallography and materials science, particularly in the context of dislocations in crystal structures. It is a vector that represents the magnitude and direction of the lattice distortion resulting from a dislocation. **Determining the Burgers Vector for an Edge Dislocation Using Burgers Circuit Construction** 1. **Conceptual Overview:** - An edge dislocation is a linear defect within a crystal structure where an extra half-plane of atoms is introduced. - The Burgers vector describes the closure failure of a Burgers circuit around the dislocation. 2. **Burgers Circuit Construction:** - Choose a starting point in the perfect lattice far from the dislocation. - Traverse a closed path around the dislocation by taking equal steps in each direction (e.g., right, up, left, down). - In a crystal with no dislocation, this path will form a closed loop. 3. **Analyzing Distortion:** - If a dislocation is present, the same steps will not form a closed loop and instead leave a gap, which is the Burgers vector. - For an edge dislocation, the Burgers vector is perpendicular to the dislocation line. This method provides an intuitive way to visualize and calculate the impact of dislocations on material properties, crucial for understanding mechanical behavior and material strength.
Transcribed Image Text:**Question 4: Understanding the Burgers Vector** **What is a Burgers Vector?** The Burgers vector is a fundamental concept in the study of crystallography and materials science, particularly in the context of dislocations in crystal structures. It is a vector that represents the magnitude and direction of the lattice distortion resulting from a dislocation. **Determining the Burgers Vector for an Edge Dislocation Using Burgers Circuit Construction** 1. **Conceptual Overview:** - An edge dislocation is a linear defect within a crystal structure where an extra half-plane of atoms is introduced. - The Burgers vector describes the closure failure of a Burgers circuit around the dislocation. 2. **Burgers Circuit Construction:** - Choose a starting point in the perfect lattice far from the dislocation. - Traverse a closed path around the dislocation by taking equal steps in each direction (e.g., right, up, left, down). - In a crystal with no dislocation, this path will form a closed loop. 3. **Analyzing Distortion:** - If a dislocation is present, the same steps will not form a closed loop and instead leave a gap, which is the Burgers vector. - For an edge dislocation, the Burgers vector is perpendicular to the dislocation line. This method provides an intuitive way to visualize and calculate the impact of dislocations on material properties, crucial for understanding mechanical behavior and material strength.
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