1. EE 5340 Semiconductor Device Theory Lecture 01 – Spring 2011
Professor Ronald L. Carter

2. Web Pages Review the following R. L. Carter’s web page
EE 5340 web page and syllabus
University and College Ethics Policies
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3. First Assignment Send e-mail to ronc@uta.edu
On the subject line, put “5340 ”
In the body of message include
address: ______________________
Your Name*: _______________________
Last four digits of your Student ID: _____
* Your name as it appears in the UTA Record - no more, no less
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4. Quantum Concepts Bohr Atom Light Quanta (particle-like waves)
Wave-like properties of particles
Wave-Particle Duality
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5. Bohr model for Hydrogen atom
Electron (-q) rev. around proton (+q)
Coulomb force, F = q2/4peor2, q = 1.6E-19 Coul, eo=8.854E-14Fd/cm
Quantization L = mvr = nh/2p, h =6.625E-34J-sec
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6. Bohr model for the H atom (cont.)
En= -(mq4)/[8eo2h2n2] ~ eV/n2
rn= [n2eoh2]/[pmq2] ~ 0.05 nm = 1/2 Ao
for n=1, ground state
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7. Bohr model for the H atom (cont.)
En= - (mq4)/[8eo2h2n2] ~ eV/n2 *
rn= [n2eoh2]/[pmq2] ~ 0.05 nm = 1/2 Ao *
*for n=1, ground state
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8. Energy Quanta for Light
Photoelectric Effect:
Tmax is the energy of the electron emitted from a material surface when light of frequency f is incident.
fo, frequency for zero KE, mat’l spec.
h is Planck’s (a universal) constant h = 6.625E-34 J-sec
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9. Photon: A particle -like wave
E = hf, the quantum of energy for light. (PE effect & black body rad.)
f = c/l, c = 3E8m/sec, l = wavelength
From Poynting’s theorem (em waves), momentum density = energy density/c
Postulate a Photon “momentum” p = h/l = hk, h = h/2p wavenumber, k = 2p /l
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10. Wave-particle duality
Compton showed Dp = hkinitial - hkfinal, so an photon (wave) is particle-like
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11. Wave-particle duality
DeBroglie hypothesized a particle could be wave-like, l = h/p
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12. Wave-particle duality
Davisson and Germer demonstrated wave-like interference phenomena for electrons to complete the duality model
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13. Newtonian Mechanics
Kinetic energy, KE = mv2/2 = p2/2m Conservation of Energy Theorem
Momentum, p = mv Conservation of Momentum Thm
Newton’s second Law F = ma = m dv/dt = m d2x/dt2
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14. Quantum Mechanics
Schrodinger’s wave equation developed to maintain consistence with wave-particle duality and other “quantum” effects
Position, mass, etc. of a particle replaced by a “wave function”, Y(x,t)
Prob. density = |Y(x,t)• Y*(x,t)|
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15. Schrodinger Equation Separation of variables gives Y(x,t) = y(x)• f(t)
The time-independent part of the Schrodinger equation for a single particle with Total E = E and PE = V. The Kinetic Energy, KE = E - V
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16. Solutions for the Schrodinger Equation
Solutions of the form of y(x) = A exp(jKx) + B exp (-jKx) K = [8p2m(E-V)/h2]1/2
Subj. to boundary conds. and norm. y(x) is finite, single-valued, conts. dy(x)/dx is finite, s-v, and conts.
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17. Infinite Potential Well
V = 0, 0 < x < a
V --> inf. for x < 0 and x > a
Assume E is finite, so y(x) = 0 outside of well
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18. References
*Fundamentals of Semiconductor Theory and Device Physics, by Shyh Wang, Prentice Hall, 1989.
**Semiconductor Physics & Devices, by Donald A. Neamen, 2nd ed., Irwin, Chicago.
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