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ELCT363_Lecture9_HW1_Quiz1_Soln

# ELCT363_Lecture9_HW1_Quiz1_Soln - Solution to Homework 1...

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ELCT 363: Intro. to Microelectronics Lecture 9; Slide Mandal/Fall 2011 Solution to Homework 1 PROBLEM No 1- Assuming each atom is a hard sphere and in contact with the surface of its nearest neighbor, find out (a) number of atoms per unit cell, (b) volume density and (c) packing fraction of the body centered cubic lattice. Solution : What is a body centered cubic (bcc) lattice? (a) 8 corner atoms × 1/8 = 1 atom 1 centre atom = 1 atom Total of 2 atoms per unit cell (b) Volume Density = number of atoms / unit volume (surface density = number of atoms/unit area) Number of atoms = 2 Volume = a 3 , assuming the sides (or lattice constant) of the cube is a Volume density 1 3 2 cell unit the of volume cell unit per atoms of number a = = How many atoms in (001) plane? 8x1/8 = 1 atoms

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ELCT 363: Intro. to Microelectronics Lecture 9; Slide Mandal/Fall 2011 Homework Problem 1 (cont’d) 2 Find out …(c) packing fraction of the body centered cubic lattice.
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