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target molecule (10 mM concentration, 90 mV bias voltage) in
1,2,4-trichlorobenzene (TCB). Thousands of conductance−
displacement traces were collected; each trace displays plateaus
close to integer multiples of the quantum of conductance, G0
(2e2/h), and an additional plateau-like feature at a molecule-
specific conductance range (Figure 1B). These additional
plateaus indicate that a conducting metal-molecule-metal bridge
is formed after the gold point contact is ruptured.
To determine the most frequently measured conductance
value for these two molecules, we compile all measured
conductance traces into logarithmically binned one-dimen-
sional histograms.7 We use logarithmically binned histograms
to highlight the conductance peaks as a linear-binned
histogram, for T2 displays a very broad feature which cannot
be characterized easily; this excessive breadth is unique to this
molecule and can be placed into context by comparing it with
the width of the P2 conductance distribution (Figure 2A and
represent an average conductance through the various con-
formers that are energetically accessible in the junction. If these
freely rotating conformers are locked when bound in a junction,
we would expect to see a difference in conductance
distributions. The rotational degrees of freedom for a 6-fold
phenyl system are different from that of a 5-fold thiophene
system when considering the rotation axis defined by the
attachment points of the linker to the Au electrodes. Rotations
in biphenyl are almost unaffected by containment in a junction,
but for a bithiophene bound in a junction, the barrier to
rotation is increased since changing the torsion angle
necessitates either moving the gold atom to which the molecule
is attached (Figure 2E) or deforming the rest of the structure to
accommodate the change. Thus, in single biphenyl junctions,
conductance will be independent of the molecule’s conforma-
tion, while in bithiophene junctions conductance will be
strongly dependent on the molecule’s conformation imposed
by its binding geometry. This striking difference yields a
conductance distribution for T2 that spans over 2 orders of
magnitude at full width at half max (fwhm), almost twice that of
P2.
Within this reasoning, junction elongation also plays a crucial
role in the measured conductance distributions. From Figure
1B, we see that individual T2 conductance traces display more
variation than the P2 ones. As the junction is elongated, the
molecule generally alters its binding sites on the electrodes,
thus each measured trace consists of conductance measure-
ments of different structures.8 For P2, such changes in
geometry would not be expected to impact the measured
conductance over the course of a single conductance trace. The
molecule’s inter-ring rotations will be unaffected, and the
measured conductance over the course of a trace will continue
to be an average over all such conformations. This situation is
drastically different for T2. Since rotations for this molecule are
restricted based upon its binding geometry, changes in junction
geometry due to elongation will manifest as changes in
conductance, as is seen in the sample traces shown in Figure 1.
In order to experimentally investigate the relation between
conductance and allowed rotations in T2, we synthesized two
other bithiophene derivatives (Figure 2C and 2D): T2-flat,
where the internal rotation between the aromatic rings is locked
by a saturated linker, and T2-twist, where hexyl chains at the
3,3′ positions force the molecule into a twisted conformation
(synthetic details are given in the SI). These derivatives restrict
the rotation around the inter-ring torsion, and therefore
represent “frozen snapshots” of the rotation. The 1D
logarithmically binned conductance histograms of these two
molecules are shown in Figure 2C and 2D. We see that the
conductance distributions for both the twisted and planar
bithiophene derivatives are considerably narrower than that of
T2. In addition, the conductance peak of T2-flat overlaps the
higher-conducting portion of the conductance peak of T2,
which would be expected from its increased conjugation due to
the forced planarity. In contrast, the peak of T2-twist overlaps
the lower-conductance portion of the T2 peak; this would also
be expected from its reduced conjugation. Furthermore, the
conductance distributions for P2 and T2-flat are of similar
width, which is to be expected.2d Although P2 has more
rotational freedom, the time scales of the measurement (10 μs)
are large enough that all of the conformational fluctuations are
averaged, so a narrow conductance distribution is indeed
expected.
Figure 2. Logarithmically binned conductance histograms of (A)
biphenyl (P2); (B) bithiophene (T2); (C) T2-twist; and (D) T2-flat
showing a Gaussian fit with fwhm indicated by the arrows. (E)
Schematic illustrating how ring symmetry impacts rotations for P2 and
T2 when bound in a junction.
2B). For measurements with the STM-BJ technique where
thousands of junction structures are sampled to determine the
most frequently observed conductance values, the width in the
distribution reflects variations in conductances due to variations
in molecular junction structure. Junction structure includes the
electrode structure, the orientation of the Au−S−C donor−
acceptor bonds relative to the molecular backbone,3d and the
average dihedral twist angle between the two rings which is
constrained by the details of the electrode structure.2d Thus in
these two-ring systems, some width to the conductance
distribution is expected. What is surprising, however, is that
the conductance distribution of T2 is much greater than that of
P2, and as both systems include the same electrodes and
methyl sulfide binding groups, we surmise that a factor intrinsic
to the molecular structure is the cause.
At room temperature, when not bound in any junction, both
phenyl rings and thiophene rings are able to freely rotate due to
thermal fluctuations. Since the time scales of the rotations are
significantly smaller than the time scales of our measurements
(100 μs), we expect that the conductance measurements
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dx.doi.org/10.1021/ja4055367 | J. Am. Chem. Soc. 2013, 135, 11724−11727