Inelastic Tunneling Current Equation help

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SUMMARY

The discussion centers on the inelastic tunneling current equation presented in the paper "Molecular Vibration Spectra by Inelastic Electron Tunneling" by J. Lambe & R.C. Jaklevic. The equation I(V) = N(dj/dV)[(4πme/ħ²φ)ln(l/r0)] describes the current through a metal-insulator-metal system under an external voltage. The parameter r0, identified as the cut-off distance near the molecule, is a constant unique to each molecule, with the water molecule's r0 measured at 6.1 Å (0.6 nm). Participants seek clarification on the significance and determination of r0.

PREREQUISITES
  • Understanding of inelastic electron tunneling phenomena
  • Familiarity with molecular physics concepts
  • Knowledge of the Physical Review journal and its articles
  • Basic grasp of mathematical modeling in physics
NEXT STEPS
  • Research the experimental methods for determining cut-off distances in molecular systems
  • Explore inelastic electron tunneling spectroscopy techniques
  • Study the implications of electron-electron interactions in molecular physics
  • Investigate other parameters affecting tunneling current in metal-insulator-metal structures
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Researchers in molecular physics, physicists studying electron tunneling phenomena, and students seeking to understand the intricacies of inelastic tunneling current equations.

Huor Earfalas
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In this paper ("Molecular Vibration Spectra by Inelastic Electron Tunneling" by J. Lambe & R.C. Jaklevic Phy.Rev. Vol 165, Article 3), the author showed that when external voltage is applied across a metal-insulator-metal, the current passing through the insulator is shown to be:

I(V) = N(\frac{dj}{dV})[\frac{4\pi me}{\bar{h}^2\phi}]ln(\frac{l}{r0})... (formulae continues)

I am unfamiliar with the parameter r0, which is called, in the paper, the cut-off distance in the vicinity of the molecule. I believe this is a constant and unique to different molecules, if so, where can I find data regarding this? I greatly appreciate your time and effort for explaining this term to me :)

EDIT: Unfortunately I was not able to post link since I am new.
 
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The article I mentioned is "Molecular Vibration Spectra by Inelastic Electron Tunneling" by J. Lambe & R.C. Jaklevic, Physical Review Volume 165, Number 3.The parameter r0 is a cut-off distance in the vicinity of the molecule. It represents the distance from the molecular center when the electron-electron interaction is negligible. This is a constant and unique to different molecules, and can be determined experimentally. For example, the cut-off distance for the water molecule is 6.1 Å (0.6nm).
 

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