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For an arbitrary shape of potential barrier the tunneling rate depends both on the barrier height and on the barrier width. But for a truncated harmonic potential the height and the width are related so that the tunneling rate depends on a single parameter, w0.
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Here we assume (and the calculations presented below justify this assumption) that the molecular distortion due to interation with surface and/or bias-induced elecric field is moderate, so that the frequencies of intramolecular vibrations are not disturbed much
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Here we assume (and the calculations presented below justify this assumption) that the molecular distortion due to interation with surface and/or bias-induced elecric field is moderate, so that the frequencies of intramolecular vibrations are not disturbed much.
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5 On-Off switchings, see refs 10 and 29
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5 On-Off switchings, see refs 10 and 29.
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4 (mean time between failures) for standard non-volatile CMOS switch
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It should be noted that the structure obtained as a result of this optimization cannot be rigorously called the transition state. Indeed, TS identification normally requires fully unrestricted geometry optimization and vibrational mode check, which is not feasible in our model with the constraints imposed. Still, there all grounds to believe that the structure discussed is close to the true TS at the surface, as molecular rearrangement at the surface anyway logically has to follow a pathway similar to that of the free molecule. Note also that this TS-like structure is indeed stabilized by the presence of the image charges as the molecule is pressed to the surface by attraction: with the image charges removed, still in the presence of surface constraints, the structure unfolds to one of the isomers (B for the anion, A for the neutral)
-
It should be noted that the structure obtained as a result of this optimization cannot be rigorously called the transition state. Indeed, TS identification normally requires fully unrestricted geometry optimization and vibrational mode check, which is not feasible in our model with the constraints imposed. Still, there all grounds to believe that the structure discussed is close to the true TS at the surface, as molecular rearrangement at the surface anyway logically has to follow a pathway similar to that of the free molecule. Note also that this TS-like structure is indeed stabilized by the presence of the image charges as the molecule is pressed to the surface by attraction: with the image charges removed, still in the presence of surface constraints, the structure unfolds to one of the isomers (B for the anion, A for the neutral).
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