Lecture 3 - Semiconductor Models and Carriers

Lecture 3 - Semiconductor Models and Carriers - 1...

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Unformatted text preview: 1 Semiconductor Models and Carriers • Objective : 1. Understand the electronic properties of semiconductor materials properties of semiconductor materials. • Questions to be answered : – Why is the concept of quantization important for semiconductors? – What models do we use to represent semiconductor crystals? EE360 – Lecture 3 crystals? – What do we mean by a semiconductor’s bandgap ? – What is a carrier and what are carrier properties? Quantization • We won’t study quantum mechanics in this course, but we will use the results of quantum mechanics every day mechanics every day! • Example: The hydrogen atom Electron has quantized “orbits” and quantized energy levels EE360 – Lecture 3 Nucleus (one proton) Electron From Pierret, p. 24 2 How did we arrive at a quantum mechanical model of the atom? • Problem 1: an orbiting electron should radiate energy and spiral into the energy and spiral into the nucleus, but matter is stable • Problem 2: the emission spectra of hot gases is not continuous, but contains discrete peaks EE360 – Lecture 3 • Solution: Bohr quantized the angular momentum (and thus orbits and energies) of the electrons From Modern Physics by Thornton and Rex From Pierret The Hydrogen Atom (continued) • Quantization of angular momentum leads to • where – E H is the electron binding energy – m is the electron rest mass, 9.11 × 10-31 kg – q is the magnitude of the electron charge, 1.6 × 10-19 C – ε is the permittivity of free space, 8.85 × 10-14 Farad/m EE360 – Lecture 3 – ħ is Planck’s constant divided by 2 π , ħ = h /2 π = 6.63 × 10-23 J ⋅ sec – n is the principle quantum number (an integer), and – eV is an electron-volt, a unit of energy equal to 1.60 × 10-19 joules • We will use these physical quantities throughout EE360 3 The Silicon Atom...
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This note was uploaded on 04/20/2008 for the course EE 360 taught by Professor Hastings during the Spring '08 term at Kentucky.

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Lecture 3 - Semiconductor Models and Carriers - 1...

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