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This lecture discusses the combination of two back-to-back p-n junctions in a bipolar transistor and the use of a field effect transistor (FET) in ChemFET sensors. Topics covered include electron tunneling, electron transmission, potential energy of barriers, voltage-controlled resistor inversion zone, Poisson's equation, metal contacts, boundary conditions, inversion layer, Fermi energy, gas adsorption and intercalation, semi-conducting oxide sensors, gate materials, non-stoichiometric dielectrics, and extrinsic conductivity.
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Lecture 7.2 ChemFET Sensors
Combination of two back-to-back p-n junctions P-N-P or N-P-N Bipolar Transistor
Electron Tunneling • Electron Transmission, T, through thickness, δ. • U=Potential Energy of Barrier • E=Total Energy of Electron
Inversion Zone - Poisson’s Eq. • 2U = -/( o ) • Metal on • N Zone P Zone • n= - e Nd -p=+ e Na • Boundary Conditions • U=Uo at x=0 • U=0 V at x=
Fermi Energy is related to the Work Function for the Metal Work Function is changed by gas adsorption or intercalation Different Metals have different Fermi Energies
Metal Pd H2 2 H (intercalated in Pd) Alters Pd work function and Ef Hydrogen Sensor Semi-Conducting Oxide SnO2_ Reducing Gas Alters Oxygen Vacancy Alters Ef and Conductivity Alcohol Sensor Formaldehyde Sensor CO sensor Gate Material
Non-Stoichiometric Dielectrics • Metal Excess • Metal with Multiple valence • Metal Deficiency +4 +3 +2 +3
Density Change with Po2 SrTi1-xO3
Non-Stoichiometric Dielectrics Ki=[h+][e-] K”F=[O”i][V”O] Conductivity =f(Po2 ) Density =f(Po2 )
Non-Stoichiometric Dielectrics Excess M1+x O Deficient M1-x O
Dielectric Conduction due to Non-stoichiometry • N-type P-type
Dielectric Conduction due to Non-stoichiometry • N-type P-type + h + h Excess Zn1+xO Deficient Cu2-xO
Extrinsic Conductivity • Donor Doping Acceptor Doping • n-type p-type Ed = -m*e e4/(8 (o)2 h2) Ef=Eg-Ed/2 Ef=Eg+Ea/2