ece340Fall03HW1sol - ECE 340 Homework I Fall 2003 Due:...

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ECE 340 Homework I Fall 2003 Due: Friday, September 05, 2003 1. How many atoms are found inside a unit cell of a simple cubic (sc), body-centered cubic (bcc), face-centered cubic (fcc), diamond structure, and zinc-blende structure crystal? Find the maximum fractions of the unit cell volume that can be filled by hard sphere in the sc, bcc, fcc and diamond lattices. If all unit cells have the same lattice constants, i.e. the unit cell dimension, which structure among sc, bcc, fcc, diamond and zincbelnde has the largest atomic density (atoms/cm 3 )? Which of them has the highest packing density, i.e. highest volume fraction being occupied by hard spheres? Solutions: Each corner atom is shared by 8 other unit cell, therefore, each corner atom can be counted as 1/8 atom. Similarly, each face atom is counted as ½ atom. Atoms that are completely inside the unit cell are counted as whole atoms. Zinc-blende lattice is very similar to diamond structure.
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This note was uploaded on 12/01/2011 for the course ECE 340 taught by Professor Lebutron during the Fall '03 term at University of Illinois, Urbana Champaign.

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ece340Fall03HW1sol - ECE 340 Homework I Fall 2003 Due:...

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