Homework 1_Solution

# Homework 1_Solution - Problem I Problem 1.3 from text....

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Problem I Problem 1.3 from text. Solution: For Figure (a), the axis intercepts in the [100], [010] and [001] directions are respectively, 3, 3, and 3. Taking the reciprocals of the intercepts gives 1/3, 1/3 and 1/3, respectively (corresponding to the equation of the plane, 1 333 x yz  ). Scaling by 3 to obtain integers then gives the plane, in correct notation, (111). For Figure (b), the axis intercepts in the [100], [010] and [001] directions are respectively, 3, 2, and 2. Taking the reciprocals of the intercepts gives 1/3, 1/2 and 1/2, respectively (corresponding to an equation of the plane, 1 322 xyz ). Scaling by 6 to obtain integers (multiplying by 6) gives the plane (233). Problem II Write out all of the equivalent <110> directions using proper notation. (E.g., [110], [011] etc.) Solution: There are twelve equivalent directions: [110],[110],[110],[110],[101],[101],[101],[101],[011],[011],[011],[011] Problem III 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. Remember that the “lattice constant” is the edge length a

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## This note was uploaded on 10/26/2009 for the course EE 339 taught by Professor Banjeree during the Fall '08 term at University of Texas.

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Homework 1_Solution - Problem I Problem 1.3 from text....

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