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Calculate planar densities for the (100), (110), and (111) planes for BCC, atomic radius R.

Calculate planar densities for the (100), (110), and (111) planes for BCC, atomic radius R.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Calculate planar densities for the (100), (110), and (111) planes for BCC, atomic radius R. ### Explanation: This task involves calculating the planar densities for different crystallographic planes in a body-centered cubic (BCC) structure, given an atomic radius R. The planar density is the number of atoms per unit area on a given plane. - **(100) Plane**: This is a plane perpendicular to one of the cube's axes and intersects two mutually orthogonal axes at infinity. - **(110) Plane**: This plane extends diagonally across the cube, intersecting two axes at one lattice point each and parallel to the third. - **(111) Plane**: This is a plane that intersects all three axes at one lattice point each, forming a diagonal plane across the cube. Understanding the geometric arrangement of these planes in a BCC lattice helps in calculating the required densities.
Transcribed Image Text:Calculate planar densities for the (100), (110), and (111) planes for BCC, atomic radius R. ### Explanation: This task involves calculating the planar densities for different crystallographic planes in a body-centered cubic (BCC) structure, given an atomic radius R. The planar density is the number of atoms per unit area on a given plane. - **(100) Plane**: This is a plane perpendicular to one of the cube's axes and intersects two mutually orthogonal axes at infinity. - **(110) Plane**: This plane extends diagonally across the cube, intersecting two axes at one lattice point each and parallel to the third. - **(111) Plane**: This is a plane that intersects all three axes at one lattice point each, forming a diagonal plane across the cube. Understanding the geometric arrangement of these planes in a BCC lattice helps in calculating the required densities.
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