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6. Find Separation distance between dislocations in a low angle boundary of b=D0.25 nm with e = 1.50 degree

6. Find Separation distance between dislocations in a low angle boundary of b=D0.25 nm with e = 1.50 degree

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Exercise 6: Calculating Separation Distance Between Dislocations** **Objective:** Determine the separation distance between dislocations in a low-angle grain boundary. **Parameters Provided:** - Burger's vector (b): 0.25 nm - Misorientation angle (θ): 1.50 degrees **Task:** Using the given values, calculate the separation distance between the dislocations. **Background Information:** Dislocations in materials are defects that play a critical role in determining the mechanical properties of metals. In low-angle grain boundaries, dislocations are arranged in a pattern such that their collective contribution accommodates the slight misorientation between adjoining grains. The relationship between the separation distance \( D \) between dislocations in a grain boundary, the Burger's vector \( b \), and the misorientation angle \( \theta \) (in radians) is given by: \[ D = \frac{b}{\theta} \] In this formula, it's important to convert the angle from degrees to radians when performing the calculation: \[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \] Given this framework, educators can engage students in exploring how changes in microstructure influence the macroscopic mechanical properties of materials.
Transcribed Image Text:**Exercise 6: Calculating Separation Distance Between Dislocations** **Objective:** Determine the separation distance between dislocations in a low-angle grain boundary. **Parameters Provided:** - Burger's vector (b): 0.25 nm - Misorientation angle (θ): 1.50 degrees **Task:** Using the given values, calculate the separation distance between the dislocations. **Background Information:** Dislocations in materials are defects that play a critical role in determining the mechanical properties of metals. In low-angle grain boundaries, dislocations are arranged in a pattern such that their collective contribution accommodates the slight misorientation between adjoining grains. The relationship between the separation distance \( D \) between dislocations in a grain boundary, the Burger's vector \( b \), and the misorientation angle \( \theta \) (in radians) is given by: \[ D = \frac{b}{\theta} \] In this formula, it's important to convert the angle from degrees to radians when performing the calculation: \[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \] Given this framework, educators can engage students in exploring how changes in microstructure influence the macroscopic mechanical properties of materials.
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