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ECE 874: Physical Electronics
Prof. Virginia Ayres Electrical & Computer Engineering Michigan State University
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Lecture 01, 30 Aug 12 VM Ayres, ECE874, F12
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Chp. 01: Basic Semiconductor Properties Crystal structures Motivation
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Motivation: nanoFET with large current density J VM Ayres, ECE874, F12
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Motivation: C and D: selected area electron diffraction
A, B, and E: High resolution transmission electron microscopy VM Ayres, ECE874, F12
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Figure 1.1: VM Ayres, ECE874, F12
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Top way might seem easier
Figure 1.1: Bottom way VM Ayres, ECE874, F12
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In a real problem where you don’t know a and b distances or how to set the lines “in-between”, bottom way would be easier VM Ayres, ECE874, F12
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Another point: This is a 2D plane view of a 3D crystal
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Figure 1.2: When describing crystals, we do it this way.
These lines and even points describe symmetries not bonds. VM Ayres, ECE874, F12
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Figure 1.3: describes symmetries
Figure 1.5: Shows real atoms and bonds 2 X’s Note: Si and GaAs really do have spatially well defined covalent bonds. Not every crystal does Table 1.4 energy band diagrams Chp. 03 / ECE 931C VM Ayres, ECE874, F12
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Cubic System Symmetries Standard unit cells
Note: Most metals belong to fcc and bcc crystal systems. Metals do not have well defined covalent bonds. They have ‘fuzzy’ metallic bonds. VM Ayres, ECE874, F12
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Problem 1.1: VM Ayres, ECE874, F12
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Problem 1.1a: VM Ayres, ECE874, F12
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Problem 1.1a: ½ atom top and bottom ¼ atom sides 2 x ½ = 1 4 x ¼ = 1
Equivalent of 2 atoms inside VM Ayres, ECE874, F12
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Problem 1.1b: I used white boxes to cut off the outsides of the atoms,
and then used group to create a few unit cells that I could move around and stack to create a crystal. VM Ayres, ECE874, F12
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Problem 1.1b: Three parallel planes of atoms.
Try moving them into position. Pattern is: 1 atom 4 atoms 1 atom 4 atoms 1 atom VM Ayres, ECE874, F12
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Compare to standard unit cells:
Problem 1.1c: I put the three parallel planes in place and then used more white boxes to hide everything else. Compare to standard unit cells: bcc VM Ayres, ECE874, F12
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Problem 1.1c: Another choice for three parallel planes of atoms. But it would be harder to identify the bcc structure from this choice VM Ayres, ECE874, F12
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Problem 1.1c: Another choice for three parallel planes of atoms. But it would be harder to identify the bcc structure from this choice VM Ayres, ECE874, F12
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