Solid State Physics
Notes from Dr Chris Philip's Lectures
Part I
Introduction and Overview
Lecture 1
Introductory Remarks
What We Hope to Cover
Scope
A Brief History
Lecture 2 - Crystals and Lattices
Introduction
The Lattice
Lattice Vectors
Basis
Primitive Unit Cell
Conventional Unit Cell
Example - Diamond and Zincblende Lattices
Crystal Planes
Example
Plane Spacing
Bragg Diffraction
Lecture 3 - ???
Introduction
Why We Want To Visualise
Penodicities
Define Reciprocal Space
K-Space Ideas
Lecture 4 - ???
Constructing The Reciprocal Lattice
First Brillouin Zone
The Ewald Construction
Lecture 5 - Electrons in Crystals
Introduction
Core Levels
Electron
Bands
Bands in Molecules
Electrons in Crystals II
Introduction
Bloch's Theorem
Consequences of Bloch's Theorem
Limitations
Electrons in Crystals III
Introductory Remarks
Nearly Free Electron Theory
Reduced Zone Scheme
Electrons in Crystals IV
Introductory Remarks
General Points About Band Structure
Effective Mass
Heterojunctions and Quantum Wells
Free Electron Metals
Introductory Remarks
The Drude Model of Conductivity in Free Electron Gases
Charge Density Oscillation Plasmon
How Does The Prediction Compare With Reality
Fermi Surfaces Levels and Energies
Introduction
The Free Electron Fermi Gas
The Fermi Sphere
Fermi Energy
Fermi Temperature
Free Electron Fermi Gas at a Finite Temperature
Metals, Semiconductors and Insulators
Introduction
The Facts
EF Position
Full Bands Carry No Current
Mobile Carrier Concentrations in Pure Non-Metals
When Does EF Fall in the Gap
Doping To Change The Carrier Concentrations
Introduction
n-doping: Hydrogenic Impurity Theory
p-doping: Holes
Law of Mass Action
Carrier Mobility and Diffusion
Introduction
Momentum Relaxation
Carrier Mobility
Diffusion Currents
Einstein Relationship Between D and mu
Introduction
Einstein Relationship
Carrier Recombination
The p-n Junction in Equilibrium
Introduction
p-n Junctions in Thermal Equilibrium
The Electrostatics of p-n Junctions
The p-n Junction As A Rectifier
Introductory Remarks
Analysis of I-V Characteristics
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