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Consider a molecule strongly bound to one electrode and very weakly bound to the other. An example of this is scanning tunneling spectroscopy; the tip is weakly interacting with the molecule, which is strongly bound to a substrate. Under bias, such a configuration produces asymmetric I-V curves because the chemical potential of the tip crosses the HOMO and LUMO levels of the molecule, whereas that of the substrate is pinned to the molecular levels. Hence, by applying a tip bias, one can determine the chemical potential position with respect to the HOMO and LUMO levels. However, to make realistic molecular devices, the molecule cannot be weakly bound to one electrode, given that otherwise the device would be mechanically unstable and electrically irreproducible because of uncertainties of the contact. But in the case of a molecule strongly bound to both the electrodes, the chemical potential of both of electrodes is pinned and hence, symmetric I-V curves are produced under bias 9
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Consider a molecule strongly bound to one electrode and very weakly bound to the other. An example of this is scanning tunneling spectroscopy; the tip is weakly interacting with the molecule, which is strongly bound to a substrate. Under bias, such a configuration produces asymmetric I-V curves because the chemical potential of the tip crosses the HOMO and LUMO levels of the molecule, whereas that of the substrate is pinned to the molecular levels. Hence, by applying a tip bias, one can determine the chemical potential position with respect to the HOMO and LUMO levels. However, to make realistic molecular devices, the molecule cannot be weakly bound to one electrode, given that otherwise the device would be mechanically unstable and electrically irreproducible because of uncertainties of the contact. But in the case of a molecule strongly bound to both the electrodes, the chemical potential of both of electrodes is pinned and hence, symmetric I-V curves are produced under bias (9). This symmetry in the I-V characteristics makes it impossible to determine whether transport is through HOMO or LUMO levels (9).
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One might suspect that the heat flow from the substrate to the tip would cause the tip temperature to increase. However, tip-substrate heat transport is mostly due to conduction through air (thermal conductance through the molecules trapped in between the tip and the substrate or through a liquid meniscus, if present, is very small in comparison, 22, Because the tip-sample thermal resistance is sufficiently larger than that between the Au tip and the thermal reservoir, the Au tip will be at the reservoir temperature. Our group has previously shown this to be true (22, Further analysis that supports the idea that the tip is at ambient temperature is provided in 23, Hence, the temperature difference applied across the substrate and the reservoir is the same as that across the tip-substrate junction
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One might suspect that the heat flow from the substrate to the tip would cause the tip temperature to increase. However, tip-substrate heat transport is mostly due to conduction through air (thermal conductance through the molecules trapped in between the tip and the substrate or through a liquid meniscus, if present, is very small in comparison) (22). Because the tip-sample thermal resistance is sufficiently larger than that between the Au tip and the thermal reservoir, the Au tip will be at the reservoir temperature. Our group has previously shown this to be true (22). Further analysis that supports the idea that the tip is at ambient temperature is provided in (23). Hence, the temperature difference applied across the substrate and the reservoir is the same as that across the tip-substrate junction.
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Materials and methods are available as supporting material on Science Online.
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F with respect to HOMO and LUMO levels of a monolayer.
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F with respect to HOMO and LUMO levels of a monolayer.
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We acknowledge support from NSF under grant no. EEC-0425914, the NSF-Nanoscale Science and Engineering Center (NSEC) Center of Integrated Nanomechanical Systems, the Berkeley-Industrial Technology Research Institute (ITRI, Taiwan) Research Center, and the Department of Energy Basic Energy Sciences (DOE-BES) Thermoelectrics Program and DOE-BES Plastic Electronics Program at the Lawrence Berkeley National Laboratory
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We acknowledge support from NSF under grant no. EEC-0425914, the NSF-Nanoscale Science and Engineering Center (NSEC) Center of Integrated Nanomechanical Systems, the Berkeley-Industrial Technology Research Institute (ITRI, Taiwan) Research Center, and the Department of Energy Basic Energy Sciences (DOE-BES) Thermoelectrics Program and DOE-BES Plastic Electronics Program at the Lawrence Berkeley National Laboratory.
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