‘‘well’’) is off-resonance.18 However, simple barrier tunnelling
(equation 1, where the decay constant b or k is proportional to
the square root of barrier height) cannot adequately describe
tunnelling across 1–4 since the ‘‘well’’ leads to a double
tunnelling barrier with the barrier height only reduced at the well
rather than across the entire molecule. Fig. 3 is plotted in linear
form since a priori the relationship between conductance and the
HOMO position is not known and in any case is not likely to
follow the simple single barrier tunnelling model implicit in
equation 1. The observation that a clearly apparent but rather
weak (linear) relationship exists between conductance and HOMO
position is noteworthy, and demonstrates that these molecular
double tunnelling barriers are not represented adequately by
equation 1, for which a reduction in barrier height across the
whole molecular wire would lead to a non-linear relationship
between conductance and frontier orbital position. Indeed, for a
selection of conjugated molecular wires in which a single frontier
orbital extends between the two sulfur terminal groups, we observe
that ln(conductance) scales with the square root of the frontier
orbital position, consistent with the barrier tunnelling model of
equation 1.22
Notes and references
{ Sonogashira cross-coupling of the appropriate 1,4-dibromo-arene with
6-chloro-hex-1-yne, H2/Pd reduction of the resulting di-alkyne, and
subsequent KSAc–NaI(cat.)–acetone treatment of the 1,4-bis(6-chloro-
hexyl)arene afforded the corresponding thioacetic acid S-{6-[4-(6-acetylsul-
fanyl-hexyl)-aryl]-hexyl} esters, 1–4; full details are in the Supplementary
Information.
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A
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conduction is outside the scope of this paper. A very recent study
of the single molecule conductances of a series of very short
conjugated molecules (substituted 1,4-diaminobenzenes) using
an STM-based break junction technique found that electron
donating substituents resulted in higher molecular conductances,
and there was a (very approximate) correlation between the
conductance and the Hammett sp parameter, consistent with
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‘positive transition state’ as it conducts).5 Also, recent thermo-
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the alkyl tunnelling barriers means that the aryl substituents are far
removed from the gold contacts during measurement, so that
possible complications from steric effects, and consequent
differences in contact geometry, are much less likely. It is
interesting that although the conduction mechanism may well be
different for short, conjugated molecules, the effect of substitution
is the same.
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We thank EPSRC (grant no. EP/C00678X/1) for funding.
This journal is ß The Royal Society of Chemistry 2007
Chem. Commun., 2007, 3939–3941 | 3941