Homework 1-solutions - So the the density of atoms per unit...

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Homework #1 (solutions), Due Thursday 9/13/07 I. (15 points) Problem 1.3 from text, Part (a) only (Part (b) shown for illustration.) II. (15 points) Write-out all of the equivalent <110> directions using proper notation. (E.g., [110], [011] etc.) ] 1 1 0 [ ], 1 01 [ ], 1 1 0 [ ], 011 [ ], 1 0 1 [ ], 1 10 [ ], 01 1 [ ], 101 [ ], 0 1 1 [ ], 0 1 1 [ ], 10 1 [ ], 110 [
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III. (15 points) Calculate the area density of atoms on a (110) plane in Si. (That is if you were to cleave the crystal along a (110) plane what would be the surface density of atoms. The “lattice constant” is the edge length a along a <100> direction for the simple cubic lattice as per various figures in my notes and the text.) Among other equivalent ways to calculate this …
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Unformatted text preview: So the the density of atoms per unit area is = = + + 2 ) cm ? . 5 ( 4 ) 2 )( ( ) 4 / 1 ( 4 ) 2 / 1 ( 2 2 2 a a IV. (20 points) Problem 1.9 from text. (Appendix III preferably, or Fig. 1-13 may be useful for Part (b). Also Note that it says “nearest In neighbors,” not just “nearest neighbors.”) V. (20 points) Problem 1.17 of the text. (Don’t worry that you may not know what a “bandgap” is yet; just read it off of the Fig. 1-13.) VI. (15 points) Problem 1.18 of the text (Hint: This is very much like Example 1-4 in the text.)...
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This note was uploaded on 04/21/2008 for the course EE 339 taught by Professor Banjeree during the Spring '08 term at University of Texas at Austin.

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Homework 1-solutions - So the the density of atoms per unit...

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