667f05hw4 - value of electronic mobility that would be...

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ELEG 667–016; MSEG-667-016 - Solid State Nanoelectronics – Fall 2005 Homework #4 - due Tuesday, 4 October 2005, in class 1. Structure: Using the nomenclature for the branching group from Fig. 1, p. 131 in Waser, and Fig. 7 for the location of the double bond, draw the structures for the cis and trans isomers of: (a) 1,2 dichloroethene (b) 3-methyl-3 hexene ( Hint: (b) can be tricky - it simplifies if you consider the C 2 H 5 at the ends of the chain as a group for the 2 cis/trans isomers. ). 2. Electronic Conduction: Organic molecules have great promise as electronic conductors. Consider a chain of conjugated C bonds, as shown in the upper part of Fig. 9, p. 132 in Waser. Roughly, consider the average bond length to be the achievable atomic spacing, and that 1 electron per atom contributes to conduction. What is the numerical
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Unformatted text preview: value of electronic mobility that would be required in a bulk sample of such molecules in order to equal the electrical conductivity of copper metal (5.96 10 5 S/cm)? 3. Hückel Theory: Within the Hückel approximation, write down the secular determinant for benzene p z orbitals to yield the molecular π-orbitals of 1,3 cyclobutadiene (C 4 H 4 ). Is 1,3 cyclobutadiene aromatic? 4. Landauer Theory. One reason that we may not see the effects of quantum resistors is because there are many possible modes. In Landauer formalism the conductivity for a quantum wire with one conduction mode and one scattering center is given by G = (2 e 2 / h )(T/R). What would the conductivity be for M modes, in parallel?...
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