hw1s - Question 1. Consider a crystal constructed of a...

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Question 1. Consider a crystal constructed of a simple cubic lattice with one atom at each lattice point. Assume that the atoms can be modeled as rigid spheres that touch their nearest neighbors. a) Find the size of the largest sphere – simulating a interstitial atom - that can be fitted between the spheres of the simple cubic crystal. Provide the radius of the interstitial atom as a function of the lattice constant. For a simple cubic lattice the radius of the atoms, r , is half the lattice constant, a . The larges cavity between the densely packed spheres is in the middle of the cube. The radius of the largest sphere that can be fit, r* , equals half the body diagonal minus the radius, r . ) 1 3 ( 2 , 3 diagonal , 2 * a r a a r b) Repeat for the face centered cubic lattice and the diamond lattice. For the face centered cubic lattice, the radius of the atoms is one quarter of the diagonal of one of the faces of the cube. The location of the foreign atom is the middle of any edge of the cube,
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This note was uploaded on 11/07/2011 for the course ECEN 5355 at Colorado.

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hw1s - Question 1. Consider a crystal constructed of a...

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