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) Sketch a face centered cubic unit cell in three dimensions. Identify the number of atoms per unit cell. 2b) Derive an equation that relates the length of the side of a face-centered cubic unit cell to the atomic radius. Let s length of the side. Let R = atomic radius. The equation is = 4R/(sqrt 2). Hint: Begin with the drawing in part a. %3D %3D

) Sketch a face centered cubic unit cell in three dimensions. Identify the number of atoms per unit cell. 2b) Derive an equation that relates the length of the side of a face-centered cubic unit cell to the atomic radius. Let s length of the side. Let R = atomic radius. The equation is = 4R/(sqrt 2). Hint: Begin with the drawing in part a. %3D %3D

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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### Understanding Face-Centered Cubic Unit Cells **2a)** Sketch a face-centered cubic (FCC) unit cell in three dimensions. Identify the number of atoms per unit cell. **2b)** Derive an equation that relates the length of the side of a face-centered cubic unit cell to the atomic radius. Let \( s \) = length of the side. Let \( R \) = atomic radius. The equation is \( s = \frac{4R}{\sqrt{2}} \). *Hint: Begin with the drawing in part a.*
Transcribed Image Text:### Understanding Face-Centered Cubic Unit Cells **2a)** Sketch a face-centered cubic (FCC) unit cell in three dimensions. Identify the number of atoms per unit cell. **2b)** Derive an equation that relates the length of the side of a face-centered cubic unit cell to the atomic radius. Let \( s \) = length of the side. Let \( R \) = atomic radius. The equation is \( s = \frac{4R}{\sqrt{2}} \). *Hint: Begin with the drawing in part a.*
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