By completing the Carrier-Statistics Lab in ABACUS - Assembly of Basic Applications for Coordinated Understanding of Semiconductors, you will be able to:

a) understand Fermi-Dirac and Maxwell-Boltzman statistics,

b) describe effects of doping (shifting of fermi level) and density of states on carrier distribution (electrons and holes).

c) study dependence of carrier concentration on temperature.

The specific objectives of the Carrier Statistics Lab are:

## Recommended Reading

If you have not had experience with carrier statistics , here is a list of resources that will help you have the required knowledge to get the most of these materials:

1. Rober F. Pierret, Semiconductor Device Fundamentals (Addison-Wesley Publishing Company, 2000). (Chapter 2)

## Demo

Carrier Statistics Lab: First-Time User Guide

Carrier Statistics Lab Video Demonstration

## Theoretical descriptions

* Illinois ECE 440 Solid State Electronic Devices, Lecture 3: Energy Bands, Carrier Statistics, Drift

* Illinois ECE 440 Solid State Electronic Devices, Lecture 4: Energy Bands, Carrier Statistics, Drift

* Illinois ECE 440 Solid State Electronic Devices, Lecture 5: Doping Semiconductors

* Illinois ECE 440 Solid State Electronic Devices, Lecture 5, Part 2 : Doping, Carrier Concentrations

* Illinois ECE 440 Solid State Electronic Devices, Lecture 6: Doping, Fermi Level, Density of States

* ECE 606 Lecture 9: Fermi-Dirac Statistics (Graduate level)

* ECE 606 Lecture 11: Equilibrium Statistics (Graduate level)

* ECE 606 Lecture 12: Equilibrium Concentrations (Graduate level)

* Statistical Mechanics (Advanced)

## Tool Verification

Carrier Statistics Tool Verification

## Worked Examples

* Worked Examples for Carrier Statistics (basic)

* Worked Examples for Carrier Statistics (advanced)

## Exercises and Homework Assignments

1. Homework Exercise on Fermi-Dirac and Maxwell-Boltzmann Distributions

2. ABACUS Exercise: Carrier Statistics

3. ABACUS Exercise: Conductivity and Carrier Concentration

4. ABACUS_Problem_Carrier_Distribution.pdf

## Solutions to Exercises

Solutions to exercises are provided to Instructors ONLY!

## Take a Test

* ABACUS: Test for Carrier Statistics Tool

## Solve the Challenge

In this final challenge you will integrate all what you have learned about Carrier Statistics.