2015
DOI: 10.1038/ncomms7210
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Visualization and thermodynamic encoding of single-molecule partition function projections

Abstract: Ensemble averaging of molecular states is fundamental for the experimental determination of thermodynamic quantities. A special case occurs for single-molecule investigations under equilibrium conditions, for which free energy, entropy and enthalpy at finite temperatures are challenging to determine with ensemble averaging alone. Here we report a method to directly record time-averaged equilibrium probability distributions by confining an individual molecule to a nanoscopic pore of a two-dimensional metal-orga… Show more

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Cited by 25 publications
(18 citation statements)
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References 63 publications
(95 reference statements)
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“…A detailed calculation of non-integer stack-shifts (see Supplementary Figure S1) allows us estimating the binding energy per H⋅⋅⋅F bond of up to 30 meV (25 meV for integer-only stackshifts) for the molecules considered here. The atomic configurations that correspond to minima in the binding energy curve -with the fluorine atom being located in between two hydrogen atoms of a benzene ring or in between two phenyl groups -agree with those found for 6Pdicarbonitrile/Ag(111) 60 and also the experimentally observed stack-shifts (Figures 3b and 4b).…”
Section: Mev Including Polarization and Dispersion Via Pbe+vdw And Psupporting
confidence: 83%
“…A detailed calculation of non-integer stack-shifts (see Supplementary Figure S1) allows us estimating the binding energy per H⋅⋅⋅F bond of up to 30 meV (25 meV for integer-only stackshifts) for the molecules considered here. The atomic configurations that correspond to minima in the binding energy curve -with the fluorine atom being located in between two hydrogen atoms of a benzene ring or in between two phenyl groups -agree with those found for 6Pdicarbonitrile/Ag(111) 60 and also the experimentally observed stack-shifts (Figures 3b and 4b).…”
Section: Mev Including Polarization and Dispersion Via Pbe+vdw And Psupporting
confidence: 83%
“…To our knowledge, such a large area is unprecedented for homomolecular surface‐supported porphyrin‐based architectures. Consequently, the Cu‐directed TPyPP network might serve as a template to trap and order large adsorbates or even molecular aggregates . To this end, the intrinsic flexibility opens perspectives for hosting and sorting specific molecular guest species, enabling an adaptive behavior of the pores, thus representing a two‐dimensional analogue of a “soft porous crystal” .…”
Section: Resultsmentioning
confidence: 94%
“…Accordingly, if the STM tip constrained the possible locations of the butyl chains of the DBS molecule (analogously to the lateral confinement of metal-organic meshes in the work of Palma et al . 27 ), then a concurrent change in entropy would follow. However, it would not a priori follow that the entropy change should compensate the enthalpy ( Fig.…”
Section: Discussionmentioning
confidence: 99%