2_1_lecture5-1

2_1_lecture5-1 - EE 2 Fall 2007 Class 5 slides 1 Outline...

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1 EE 2 Fall 2007 Class 5 slides
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2 Outline Review of the behavior free electrons in a solid Band theory Periodic potential wells Energy bands : E vs k diagram Extended and reduced zone representation Effect of an externally applied electric field Steady state electron distribution Band structure in an insulator and in a conductor
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4 Band Theory Ref: (pp26-35) In the free electron model we assumed that the potential energy in the solid (three dimensional box) was constant and therefore there was no force acting on the electrons. U(x) = U 0 where U 0 is a constant and does not vary with x In reality there is a force acting on the electrons due to the charge on the ionized atoms of the solid. Since the atoms are periodically located in the solid the potential energy varies within the solid (box) periodically as shown in the figure. U(x) = U(x + a) a is the inter-atomic distance.
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2_1_lecture5-1 - EE 2 Fall 2007 Class 5 slides 1 Outline...

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