MIT 6 720J - Lecture 3 - Carrier Statistics in Equilibrium (18 pages)

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Lecture 3 - Carrier Statistics in Equilibrium



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Lecture 3 - Carrier Statistics in Equilibrium

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Lecture Notes


Pages:
18
School:
Massachusetts Institute of Technology
Course:
6 720j - Integrated Microelectronic Devices

Unformatted text preview:

6 720J 3 43J Integrated Microelectronic Devices Spring 2007 Lecture 3 1 Lecture 3 Carrier Statistics in Equilibrium cont February 9 2007 Contents 1 Equilibrium electron concentration 2 Equilibrium hole concentration 3 np product in equilibrium 4 Location of Fermi level Reading assignment del Alamo Ch 2 2 4 2 6 Cite as Jes s del Alamo course materials for 6 720J Integrated Microelectronic Devices Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY 6 720J 3 43J Integrated Microelectronic Devices Spring 2007 Lecture 3 2 Key questions How many electrons and holes are there in thermal equilibrium in a given semiconductor How does the equilibrium electron hole distribution in the con duction valence band look like How can one compute ni Where is the Fermi level in a given semiconductor How does its location depend on doping level Cite as Jes s del Alamo course materials for 6 720J Integrated Microelectronic Devices Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY 6 720J 3 43J Integrated Microelectronic Devices Spring 2007 Lecture 3 3 Carrier statistics in equilibrium Question how many electrons and holes are there in TE in a given semiconductor Answer rigorous model exploiting energy view of semiconductors and concept of Fermi level Strategy to answer question 1 derive relationship between no and EF 2 derive relationship between po and EF 3 derive expressions for nopo and ni 4 gure out location of EF from additional arguments such as charge neutrality Cite as Jes s del Alamo course materials for 6 720J Integrated Microelectronic Devices Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Lecture 3 4 6 720J 3 43J Integrated Microelectronic Devices Spring 2007 1 Equilibrium electron concentration Q How many electrons are there in a semiconductor in TE A It depends on location of EF Why



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