Lecture2-Crystal+Structure+and+Semiconductor+Models

# Lecture2-Crystal+Structure+and+Semiconductor+Models - ECE...

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ECE 3040 - Dr. Ying Zhang Georgia Tech ECE 3040: Microelectronic Circuits Lecture 2 Reading: Pierret 1.1, 1.2, 1.4, 2.1-2.6

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ECE 3040 - Dr. Ying Zhang Georgia Tech Diamond Lattice Miller Indices Bohr Model Bonding Model Energy Band Model Carriers Agenda
ECE 3040 - Dr. Ying Zhang Georgia Tech ± Diamond lattice is the crystal structure for Silicon and many other semiconductor materials (like Germanium) ± Zincblende lattice is a diamond lattice with every other atom a different element, such as GaAs Diamond Lattice Diamond lattice unit cell Zincblende lattice unit cell

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ECE 3040 - Dr. Ying Zhang Georgia Tech ± Important: For all diamond/zincblende structures, each atom has 4 nearest neighbors ± Question: How many atoms are in one diamond lattice unit cell? Diamond Lattice (cont.)
ECE 3040 - Dr. Ying Zhang Georgia Tech ± Miller indices are a notation system in crystallography for planes and directions in crystal lattices. ± Miller indices use 3 integers to describe a plane or a vector in the lattice Miller Indices X Y Z a 2a 3a 4a 2a -3a Identify Intercepts in x,y,z order = 4a, -3a, 2a Divide by unit cell length in each direction x,y,z order = 4, -3, 2 Invert the values = 1/4, -1/3, 1/2 Multiply by LCD (Least Common Denominator, 12 in this example) to give smallest whole number set = 3, -4, 6 Place any minus signs over their index and place set in parenthesis = (346)

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ECE 3040 - Dr. Ying Zhang Georgia Tech Crystalline Planes and Miller Indices: Planes and directions x y z Intercept Reciprocal *LCD (h k l)
ECE 3040 - Dr. Ying Zhang Georgia Tech {100} = (100), (100) (010), (010) (001), (001) Equivalent Planes and Directions <100> = [100], [100] [010], [010] [001], [001] Planes Directions x y z x y z Planes in which the lattice looks exactly the same are equivalent planes , which are labeled {h k l}.

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ECE 3040 - Dr. Ying Zhang
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## This note was uploaded on 09/05/2009 for the course ECE 3040 taught by Professor Hamblen during the Spring '07 term at Georgia Institute of Technology.

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Lecture2-Crystal+Structure+and+Semiconductor+Models - ECE...

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