ECE3040_Homework1_Solution

# ECE3040_Homework1_Solution - GEORGIA INSTITUTE OF...

This preview shows pages 1–2. Sign up to view the full content.

ECE 3040B: Homework #1, Solution September 9, 2011 Page 1 of 4 G EORGIA I NSTITUTE OF T ECHNOLOGY S CHOOL OF E LECTRICAL AND C OMPUTER E NGINEERING ECE 3040B: Microelectronic Circuits Fall Semester 2011, Homework #1 SOLUTIONS 1. Diamond Lattice (20 points) (a) The lattice constant of Ge at room temperature is a = 5.65 Å. Determine the number of Ge atoms per cm 3 . (b) Calculate the density of crystalline silicon at room temperature using the lattice constant a = 5.43Å, the atomic weight m = 28.09 g/mol, and the Avogadro’s number 6.023·10 23 mol -1 . Each diamond type crystal (e.g. Si and Ge) has 8 atoms per unit cell: 8 atoms at the corners each of them shared between 8 unit cells 6 atoms on the faces each shared between 2 cells 4 atoms at “inside” locations, e.g. ( ¼ , ¼ , ¼ ) and similar. 8* (1/8)+ 6*(1/2) + 4 = 8. (a) Number of Ge atoms per cm 3 = Number of atoms per unit cell divided by unit cell volume a 3 : #of Geatoms = 8 a 3 = 4.4 ! 10 22 cm " 3 (b) Density of silicon = # of atoms per cm

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 10/12/2011 for the course ECE 3040 taught by Professor Hamblen during the Fall '07 term at Georgia Institute of Technology.

### Page1 / 4

ECE3040_Homework1_Solution - GEORGIA INSTITUTE OF...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online