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Randomizing influences other than Brownian motion can be used in ratchet mechanisms. For example, in quantum ratchets, quantum effects such as tunneling play this role.
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22
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9444238443
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The principle of detailed balance (23) tells us that no net task can be performed by the fluxional exchange of components at equilibrium, because transitions take place at the same rate in opposite directions. The structure of catenane 1 is remarkable in that it separates the kinetic (ability to exchange) and thermodynamic (impetus for net transport) requirements for detailed balance.
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33
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9444252198
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note
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The prefix indicates the position of the smaller macrocycle on the larger one.
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34
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9444244912
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note
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Although catenane fum-E-1 was originally prepared as its O-t-butyldiphenylsilyl (TBDPS) derivative, the steric bulk caused low yields during the re-silylation protocol of step k, so it was replaced with the smaller TBDMS group for all the directional rotation studies.
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35
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9444246876
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note
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Materials and methods are available as supporting material on Science Online.
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36
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9444245752
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note
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The photoisomerization reaction gives a 50:50 E:Z mixture in the photostationary state. No accompanying photodegradation or decomposition was detected (37).
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38
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9444234994
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note
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By raising or lowering the energy minima, the balance-breaking reactions intrinsically affect the kinetic barriers as well.
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39
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9444239688
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note
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This is not quite as simple as the ΔG values of the forward and reverse covalent bond forming and breaking reactions canceling each other out. When unlinking takes place, the restriction in freedom of movement reduces the entropy of the small macrocycle in addition to the ΔG change associated with the chemical reaction; however, when linking occurs, the entropy increases by the same amount.
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40
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9444231051
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note
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Certain aspects of Feynman's discussion of the ratchet and pawl as a motor have been shown to be flawed (41, 42).
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43
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9444251589
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note
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This work was supported by the Carnegie Trust (a scholarship to E.R.K.) and the European Union (a Marie Curie Fellowship to J.V.H.).
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