Derivation of a Kirchhoff-Like Law forCapacitance Combination in MoleculesNalini SinghTJHSST 13MITRE Corporation Summer Te...
Background Information Kirchhoff’s laws can be used to determine the total capacitance of a macroscopic circuit ...
Background Information We modeled molecules, i.e. molecular capacitors, as a combination of smaller molecular capacitors...
Results Neither a parallel or series capacitance model adequately explains trends in molecular capacitances
Results Neither a parallel or series capacitance model adequately explains trends in molecular capacitances A new law ...
What’s Next Next steps: - Generalize capacitance combination law for other classes of molecules - Analyze implications ...
What’s Next Next steps: - Generalize capacitance combination law for other classes of molecules - Analyze implications ...
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Published on: Mar 3, 2016
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Transcripts - Nalini singh washington exec stem council

  • 1. Derivation of a Kirchhoff-Like Law forCapacitance Combination in MoleculesNalini SinghTJHSST 13MITRE Corporation Summer Technical Aide
  • 2. Background Information Kirchhoff’s laws can be used to determine the total capacitance of a macroscopic circuit Capacitors in Series Capacitors in Parallel C1 C1 C2 C2 C3 C3 1 1 1 1 = + + CT = C1 + C2 + C3 CT C1 C2 C3
  • 3. Background Information We modeled molecules, i.e. molecular capacitors, as a combination of smaller molecular capacitors and atomic capacitors Capacitors in Series Capacitors in Parallel Atoms in Molecules C1 C1 C1 C4 C6 C2 C C8 2 C2 C3 C5 C7 C3 C3 1 1 1 1 CT = ? = + + CT = C1 + C2 + C3 CT C1 C2 C3
  • 4. Results Neither a parallel or series capacitance model adequately explains trends in molecular capacitances
  • 5. Results Neither a parallel or series capacitance model adequately explains trends in molecular capacitances A new law was derived based on a parallel capacitance model with modifications to account for “surface area” contraction:
  • 6. What’s Next Next steps: - Generalize capacitance combination law for other classes of molecules - Analyze implications for other combination laws (i.e. conductance combination laws) Application: - Modeling of electronic properties of miniaturized/molecular-scale circuits
  • 7. What’s Next Next steps: - Generalize capacitance combination law for other classes of molecules - Analyze implications for other combination laws (i.e. conductance combination laws) Application: - Modeling of electronic properties of miniaturized/molecular-scale circuits

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