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Figure 2. Log-binned one-dimensional conductance histograms for molecules 1, 2, and 3 generated without any data selection, from 10000 traces,
using a bin size of 100/decade. B Two-dimensional histograms for 1, 2, and 3 showing conductance peaks extending over a distance of ∼1 nm
relative to the break of the G0 contact.
(SI). These wires vary only in their aromatic character; they
have the same length and internal torsion angle, due to the
triple bonds and linker groups, which allows us to compare
conductance directly from aromaticity (or specifically reso-
nance energies). The amine terminations bind selectively to
under-coordinate gold in order to form a single-molecule
junction between two gold electrodes, thus enabling the STM-
BJ conductance measurements.7,8
across the entire molecular backbone, as the lengths of the
features seen in these 2D histograms are roughly the same for
all three.
To show that the correlation between the aromaticity and
conductance is robust, we also synthesized and measured
another simpler series of three molecules: 1,4-bis(4-amino-
phenyl)-5,5-dimethylcyclopenta-1,3-diene (4), 2,5-bis(4-
aminophenyl)furan (5), and 2, 5-bis(4-aminophenyl)thiophene
(6). Figure 3A shows the structures of these molecules, and
We measure the molecular conductance of these molecules
by repeatedly forming and breaking Au point contacts in the
presence of molecules using a modified STM-BJ setup that has
been described in detail previously.9 We use an Au/mica
substrate with an Au wire tip (Alfa-Aesar, 99.998% purity) for
these measurements. The STM operates in ambient conditions
at room temperature and the junctions are broken in a 0.2 mM
solution of the molecules in 1,2,4-trichlorobenzene (Alfa-Aesar
99% purity). Each conductance measurement starts by moving
the tip into the substrate to create a metal point-contact with a
conductance of at least 5G0.10 This ensures that a new electrode
structure is created for each measurement. The tip is then
withdrawn from the substrate at a speed of about 16 nm/s
while the current is recorded at a fixed applied bias voltage of
225 mV at a 40 kHz data acquisition rate. This yields a
conductance (current/voltage) versus displacement trace. In all
measurements reported here, 10,000 traces were collected with
each molecule to allow for detailed statistical analysis. Figure
1C shows three sample traces measured with molecules 1−3.
These show conductance plateaus at integer multiples of G0 =
2e2/h, the quantum of conductance, as well as a molecular
dependent conductance feature between 10−3G0 and 10−5G0.
These illustrative traces show that the conductance of 1 is the
largest, while that of 3 is the smallest.
To determine the conductance of each molecule in a
statistically significant manner, we create one-dimensional and
two-dimensional histograms of all 10000 traces measured. One-
dimensional histograms show the frequency of conductance
values measured averaged over all traces while two-dimensional
histograms reveal the junction conductance evolution as a
function of elongation.11 Figure 2A shows one-dimensional
conductance histograms of molecules 1−3 created using
logarithm bins. We find that the peak of these histograms
shifts systematically to lower conductance as the aromaticity of
the central unit is enhanced. Specifically, the cyclopentadiene
derivative has the highest conductance, while the thiophene
derivative has the lowest. We show, in Figure 2B, two-
dimensional conductance histograms generated from the same
traces used to create the histograms in Figure 2A. These
illustrate clearly that in all cases we are measuring conductance
Figure 3. (A) Structures of molecules 4, 5, and 6. (B) Log-binned one-
dimensional conductance histograms for molecules 4, 5, and 6
generated from 10000 conductance traces using a bin size of 100/
decade.
Figure 3B shows one-dimensional conductance histograms for
this series (see SI for 2D histograms). We again see a
decreasing conductance due to enhanced aromaticity; however,
for molecule 4 (the cyclopentadiene derivative), we do not see
a clear increase in conductance when compared with that for
the furan derivative (5). We attribute this to the internal torsion
angle of 4, determined from its X-ray structure, which is ∼16°
(see SI Figure S1). Without the acetylene bridging within the
molecular wire, the two methyls on the cyclopentadiene ring
interfere with the ortho hydrogens on the aniline rings,
resulting in larger internal torsion angles and a lower
conductance.8,12
We plot, in Figure 4, the conductance values for molecules
1−3 obtained by fitting a Gaussian function to the histogram
peaks shown in Figure 2A against the resonance energy of the
five-membered ring units. We see that conductance correlates
negatively with resonance energy, i.e. the more aromatic the
molecule is, the lower the conductance. The best structures for
conductivity would have π bonds external to the rings, quinoid
structures, while the best structures for the aromatic rings
themselves would not have such external π bonds. The
compromise structures adopted would have a larger energy
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dx.doi.org/10.1021/ja411143s | J. Am. Chem. Soc. 2014, 136, 918−920