HW#1solution_2008_v2

# HW#1solution_2008_v2 - ELEN 360/ENGR 262 Homework#1 Shek...

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1 ELEN 360/ENGR 262 Homework #1 Shek, 2008/01/17 Due on Jan 24 total 16 points Solutions, 2008/01/26 Note: Some of the answers are typed or calculated with Mathcad, in which ":=" is the symbol for assignment. For the purpose here, ":=" means "=". 1. Refer to lecture 1, p.7 (a) Suppose L is the length of a side of the cube as shown. What is the distance between nearest neighbors in terms of L? (Convince yourself that an atom in the bulk of an fcc structure has 12 nearest neighbors.) (b) Consider each surface :(100), (110),(111). How many nearest neighbors are in the same plane, and how many are in the plane(s) below? Please submit your sketches or other supporting material for your reasoning. Do not just give the numbers. (a) ( 1 point) NearestNeighborDistance L 2 := (b) ( 3 points) In the figures below, the surface nearest neighbors (n.n.) are connected by red lines. The color blue indicates atoms below the surface plane. (100) surface atom has 4 n.n. in the surface plane (atoms 1,2,3,4), and 4 in the second plane (atoms 5,6,7,8). (110) surface atom has 2 n.n. in the same plane (1,2), 4 in the 2nd plane (3,4,5,6) , and 1 directly below the reference surface atom in the 3rd plane (atom 7). (111) surface atom has

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## This homework help was uploaded on 04/16/2008 for the course ELEN 360 taught by Professor Shek during the Winter '08 term at Santa Clara.

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HW#1solution_2008_v2 - ELEN 360/ENGR 262 Homework#1 Shek...

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