Behabitu E Tebikachew1, Haipeng B Li2, Alessandro Pirrotta3, Karl Börjesson4, Gemma C Solomon3, Joshua Hihath2, Kasper Moth-Poulsen1. 1. Department of Chemistry and Chemical Engineering, Chalmers University of Technology, 41296 Gothenburg, Sweden. 2. Department of Electrical and Computer Engineering, University of California Davis, Davis, California 95616, United States. 3. Nano-Science Center and Department of Chemistry, University of Copenhagen, 2100, Copenhagen Ø, Denmark. 4. Department of Chemistry and Molecular Biology, University of Gothenburg, 41296 Gothenburg, Sweden.
Abstract
Integrating functional molecules into single-molecule devices is a key step toward the realization of future computing machines based on the smallest possible components. In this context, photoswitching molecules that can make a transition between high and low conductivity in response to light are attractive candidates. Here we present the synthesis and conductance properties of a new type of robust molecular photothermal switch based on the norbornadiene (NB)-quadricyclane (QC) system. The transport through the molecule in the ON state is dominated by a pathway through the π-conjugated system, which is no longer available when the system is switched to the OFF state. Interestingly, in the OFF state we find that the same pathway contributes only 12% to the transport properties. We attribute this observation to the strained tetrahedral geometry of the QC. These results challenge the prevailing assumption that current will simply flow through the shortest through-bond path in a molecule.
Integrating functional molecules into single-molecule devices is a key step toward the realization of future computing machines based on the smallest possible components. In this context, photoswitching molecules that can make a transition between high and low conductivity in response to light are attractive candidates. Here we present the synthesis and conductance properties of a new type of robust molecular photothermal switch based on the norbornadiene (NB)-quadricyclane (QC) system. The transport through the molecule in the ON state is dominated by a pathway through the π-conjugated system, which is no longer available when the system is switched to the OFF state. Interestingly, in the OFF state we find that the same pathway contributes only 12% to the transport properties. We attribute this observation to the strained tetrahedral geometry of the QC. These results challenge the prevailing assumption that current will simply flow through the shortest through-bond path in a molecule.
Integrating functional
molecules into single-molecule devices is
a key step toward the realization of future computing machines based
on the smallest possible component, single molecules.[1−4] In this context, molecular switches that can make a transition between
high and low conductivity in response to external stimuli have attracted
significant attention since they can add a unique electronic function
to molecular-scale devices and at the same time provide insight into
the charge transport mechanism at the nanoscale.[5−10]Photoswitching molecules, molecules that undergoes a well-defined
structural isomerization upon photoexcitation, are appealing candidates
for single-molecule electronics.[3,11] There are several examples
of photoswitching molecules. From a charge transport perspective diarylethenes[12−15] and azobenzenes[5,16,17] have been the two major molecular platforms rigorously studied through
various experimental approaches in the past decade. Recently, Jia
et al. demonstrated a robust diarylethene-based device with remarkable
stability and bidirectional in situ switching with
graphene electrodes.[15] Other photoswitchable
molecules with more complicated structures have also been investigated.[7,18,19] Here, we designed and synthesized
a norbornadiene-based photoswitch (NB-1) with embedded
oligo(phenylene ethynylene) arms end-capped with thioacetate groups
to anchor it to gold electrodes (Scheme ).
Scheme 1
Photochemical Isomerization of the
Norbornadiene Form (NB-1) to the Quadricyclane Form (QC-2) and the Thermal Relaxation
Norbornadiene is a bicyclic hydrocarbon that undergoes
photoisomerization
to the metastable quadricyclane form upon light stimulation. The quadricyclane
form can relax back to norbornadiene by thermal activation. Hence,
it is one of the few examples of a T-type negative photochrome along
with dimethyldihydropyrene.[18] The photoswitching
properties of norbornadiene have been demonstrated and utilized to
study intramolecular energy transfer in solution. In 1994, Bonfantini
et al. proposed norbornadiene as a potential candidate system for
molecular electronics.[20] The prospect of
using norbornadiene in electronic applications has also been discussed
by Löfås et al.[21] Yet, to
the best of our knowledge, there are no examples of experimental conductance
studies regarding the evaluation and use of the norbornadiene system
as a photoswitch in molecular electronics. Hence, NB-1 is characterized in solution, revealing robust photoswtiching properties,
and its transport properties are investigated in STM-break junction
measurements. Furthermore, the transport properties of the system
are analyzed in depth using DFT modeling and local current analysis.Electron transport through NB-1 is dominated by the
π-system. However, upon photoexcitation the central unit undergoes
an intramolecular [2 + 2] cycloaddition, rehybridizing the orbitals
from sp2 to sp3, to give the photoisomer, QC-2 (Scheme ).[22] In this state, the conductance must
be dominated by a pathway involving the σ system, as no fully
conjugated path remains. As a result, our measurements yield a larger
on/off ratio than expected from breaking a single π-bond in
the transport pathway. The DFT calculations show that the conductance
in QC-2 is characterized by a path through the longer
cyclobutane three σ-bonds over the shorter single σ-bond
path, and the resulting switching ratio is in good agreement with
the experimental results. This work brings more insight into the effect
of quantum interference on charge transport in strained ring structures
and suggests new candidates and perspectives on engineering molecular-level
photoswitches.
Results and Discussion
The photoswitching
molecule (NB-1) was synthesized
through Sonogashira[23] cross-coupling reaction
starting from 2,3-dibromonorbornadiene. Full synthetic details and
characterization are presented in the SI. The photoisomerization process was examined in solution using NMR
and UV–vis spectroscopy. The proton NMR for the photoisomerization
of NB-1 to QC-2 showed an alkenyl proton
for NB-1, whereas in QC-2 the alkenyl protons
disappeared and new alkyl protons emerge (SI: Figure S3). UV–vis absorption spectroscopy of NB-1 was carried out in toluene, and the onset of absorption wavelength
was found to be around 460 nm (SI: Figure
S4(a)), which is significantly red-shifted from unsubstituted norbornadiene.
This is attributed to the extended π-conjugation in NB-1, which enabled the photoisomerization with visible light. Irradiating
a toluene solution of NB-1 with visible light resulted
in its photoisomerization to QC-2 with isosbestic points
in the absorption spectra indicating a clean photoconversion (Figure (a)).
Figure 1
(a) Photoisomerization
of NB-1 (dark cyan) to QC-2 (orange) indicated
by the black arrow followed by UV/vis
spectroscopy. The photoisomerization was performed using a 405 nm
laser diode, and the sample was exposed to the irradiation every 10
s until the complete conversion of NB-1 through the gray
plots to QC-2 was reached. (b) Sketch of device geometry
under test in the STM break junction measurements. (c) No sign of
degradation was observed in the accelerated stability test of the NB-1 (dark cyan maxima)/QC-2 (orange minima)
system at elevated temperature (50 °C) sealed under nitrogen
atmosphere; 124 photothermal switching cycles are shown.
(a) Photoisomerization
of NB-1 (dark cyan) to QC-2 (orange) indicated
by the black arrow followed by UV/vis
spectroscopy. The photoisomerization was performed using a 405 nm
laser diode, and the sample was exposed to the irradiation every 10
s until the complete conversion of NB-1 through the gray
plots to QC-2 was reached. (b) Sketch of device geometry
under test in the STM break junction measurements. (c) No sign of
degradation was observed in the accelerated stability test of the NB-1 (dark cyan maxima)/QC-2 (orange minima)
system at elevated temperature (50 °C) sealed under nitrogen
atmosphere; 124 photothermal switching cycles are shown.In order to examine the robustness and fatigue
resistance of the
photoswitch, a toluene solution of NB-1 (∼44 μM)
was irradiated with a 405 nm laser diode at 50 °C for 2 min in
order to fully convert the NB-1 to QC-2.
The ensuing QC-2 was allowed to relax for 28 min at this
temperature prior to the next irradiation cycle. The conversion was
continuously probed at 430 nm. Under nitrogen atmosphere,[24] the compound showed no sign of degradation even
after well over 100 switching cycles (Figure (c)). In air, more than 100 switching cycles
were performed with only 16% loss (SI:
Figure S4(f)), corresponding to 99.8% yield per conversion cycle.
This experiment reveals the robustness of the photoswitch, even at
elevated temperatures.The thermal relaxation of QC-2 to NB-1 over time was further investigated at different
temperatures and
found to follow first-order kinetics. The rate constants for the thermal
switching reaction at a range of temperatures were extracted from
the exponential fitting of the relaxation of QC-2 to NB-1. Rate constants obtained at four different temperatures
(SI: Figure S4(b)) were fitted to the Arrhenius
equation yielding a straight line (SI:
Figure S4(c)). From the plot, the activation energy (Ea) as well as the pre-exponential factor (A) were determined
for the thermal back conversion. The extracted values are summarized
in Table .
Table 1
Photochemical and Thermodynamic Parameters
for NB-1 and QC-2a,b
(λNB-1max, ε) (nm, M–1 cm–1)
(λQC-2max,ε) (nm, M–1cm–1)
Ea (kJ mol–1)
A (s–1)
t1/2,25°C (min)
ϕ*
(332, 8.3 × 104), (391, 4.3 × 104)
(320, 9.1 × 104)
100.7
1.6 × 1014
78.6
0.15
Summary of calculated Arrhenius
parameters for the thermal relaxation and photoisomerization quantum
yield of QC-2 to NB-1.
ε, molar extinction coefficient
of NB-1 (two maxima) and QC-2 (one maximum); Ea, activation energy for the thermal relaxation
of QC-2 to NB-1 derived from the Arrhenius
equation; A, pre-exponential factor; t1/2 25 °C, half-life time of the thermal relaxation
of QC-2 at 25 °C; ϕ*, photoisomerization quantum
yield[25] of NB-1 to QC-2 obtained from the average of three separate measurements.
Summary of calculated Arrhenius
parameters for the thermal relaxation and photoisomerization quantum
yield of QC-2 to NB-1.ε, molar extinction coefficient
of NB-1 (two maxima) and QC-2 (one maximum); Ea, activation energy for the thermal relaxation
of QC-2 to NB-1 derived from the Arrhenius
equation; A, pre-exponential factor; t1/2 25 °C, half-life time of the thermal relaxation
of QC-2 at 25 °C; ϕ*, photoisomerization quantum
yield[25] of NB-1 to QC-2 obtained from the average of three separate measurements.Having demonstrated that the molecule
effectively switches from
the π-conjugated NB-1 state to the QC-2 state and vice versa in solution, we turn our attention to the charge
transport properties of the system. STM-break junction (STM-BJ) experiments
have been proven to be a robust method to obtain conductance values
of single molecular junctions.[26−33] This technique was used to examine the change in conductance at
the single-molecule level between molecules NB-1 and QC-2 in order to gain insight into the details of the charge
transport mechanism[34] (Figure ). In STM-BJ a bias is applied
between the tip and substrate, and the current is measured continuously
as the tip is being retracted. Steps on the decaying conductance traces
appear whenever molecules are bound between the two electrodes. With
thousands of conductance vs distance curves collected, the most probable
conductance value of the single-molecule junction can be determined
by statistical analysis.
Figure 2
(a) Conductance vs length traces of the NB-1 state
and the QC-2 state. Traces are displaced horizontally
for clarity. (b) and (c) 2D histogram for QC-2 and NB-1 demonstrating a large change in the distribution of conductance
values for the two states. (d) UV–vis spectrum for the relaxation
of QC-2 to NB-1 in 16 h. (e)–(g)
Conductance histograms of QC-2 before relaxation (e),
after 2 h of relaxation (f), and after 16 h relaxation (g). All the
experiments were carried out at room temperature ∼23 °C.
(a) Conductance vs length traces of the NB-1 state
and the QC-2 state. Traces are displaced horizontally
for clarity. (b) and (c) 2D histogram for QC-2 and NB-1 demonstrating a large change in the distribution of conductance
values for the two states. (d) UV–vis spectrum for the relaxation
of QC-2 to NB-1 in 16 h. (e)–(g)
Conductance histograms of QC-2 before relaxation (e),
after 2 h of relaxation (f), and after 16 h relaxation (g). All the
experiments were carried out at room temperature ∼23 °C.To measure the conductance value
of the norbornadiene-based photoswitching
molecule at both NB-1 and QC-2 states, NB-1 was dissolved in mesitylene. The solution was then added
to the STM cell (∼1 μM in mesitylene), and a 50 mV bias
was applied between the gold tip and the substrate, and the tapping
process as described above was initiated with a tip speed of ∼80
nm/s. For the QC-2 state, a UV-LED (centered at 405 nm)
was employed to switch the molecule from NB-1 to QC-2 in solution phase, and the absorption spectrum was measured
to verify the full conversion from NB-1 to QC-2. The STM-BJ conductance measurement for QC-2 was performed
under continuous irradiation of UV-light to hinder the relaxation
from QC-2 back to NB-1, and data collection
was finished within 30 min after adding QC-2 to the cell.Figure a shows
individual decay curves for both QC-2 (orange traces)
and NB-1 (dark cyan traces). It is observed that the
steps of QC-2 are at lower conductance values compared
to NB-1. By automatically selecting decay curves with
clear steps, 2D histograms are constructed for QC-2 and NB-1 in Figure (b),(c). NB-1 yields a conductance value on the order
of 10–4G0, while QC-2 has a lower value on the order of 10–5G0. Five sets of STM-BJ conductance
measurements have been performed for both NB-1 and QC-2 states. Each measurement is based on the newly prepared
substrate, solution, and gold tip. The data are plotted in the 1D
conductance histogram and fitted with a Gaussian distribution. The
average conductance values each from the five experimental data sets
are summarized in Table . The conductance values indicate that the change in molecular configuration
directly leads to a conductance switch of molecular junction, with
an ON/OFF ratio of 6.6.
Table 2
Conductance Measurement
Results for NB-1 and QC-2 Forms
NB-1 conductance
QC-2 conductance
conductance
ratio
1.2 ± 0.1 × 10–4G0
1.9 ± 0.8 × 10–5G0
6.6
To further confirm the correlation
between states of the molecule
and the junction conductance, in situ conductance
measurements were performed in parallel with UV–vis absorption
spectroscopy as the molecules relaxed from QC-2 to NB-1 (Figure (d)–(g)). A solution of QC-2 was initially added
to the STM cell (∼1 μM in mesitylene), and three consecutive in situ conductance measurements were performed: immediately
after molecular addition, 2 h later, and 16 h later. The system was
maintained in a dark environment at room temperature throughout the
experiment. Figure (e) shows a peak in the conductance histogram centered at ∼1.9
× 10–5G0 immediately
following the addition of the QC-2 solution. Figure (f) shows the conductance
histogram obtained after 2 h of relaxation and shows an evolution
of the conductance distribution. The diminished low conductance peak
and increased counts at high conductance range indicate the relaxation
process from QC-2 to NB-1 is occurring.
Finally, Figure (g)
was obtained after 16 h of relaxation. A more distinct peak with a
value around 1.2 × 10–4G0 is observed, indicating a complete relaxation. A control
experiment with absorption spectrum measured in the solution phase
was performed at the same time, and as demonstrated in Figure d, QC-2 underwent
essentially complete relaxation process to NB-1 in 16
h, which is 99.99% back conversion calculated based on the values
presented in Table .The in situ relaxation STM break junction
experiment
suggests that the direct cause of the conductance change is the isomerization
of the photoswitching molecule. We also tested switching NB-1 molecules to the QC-2 state by irradiating UV light
onto the gold surface after molecules bound to gold, but no obvious
conductance change was observed. We attribute this phenomenon to the
rapid quenching of the excited states due to electronic coupling[35] once the molecule is coupled to the gold surface.
Perhaps, this effect can be alleviated by inserting a saturated spacer
between the photoactive unit and the electrode[15] or by using a different anchoring group.[36] Detailed data for the STM-BJ measurements can be found
in the SI Section III.One of the
advantages of the NB-1/QC-2 system is that
the bonds that are broken and formed upon switching along the main
conduction path undergo no skeletal rearrangement.[37] Hence, we expect the end-to-end length to remain largely
unaffected. This will also yield junctions that are mechanically stable
during the switching event. However, the limited structural change
presents a potential problem for maximizing the conductance ON/OFF
ratio.It is possible to make an estimate of the conductance
change upon
switching when only a single bond changes from conjugated to saturated.
By assuming that current only flows through the shortest through-bond
path, knowledge of the characteristic conductance decay with length
for conjugated and saturated systems allows us to estimate the difference
between the two systems (full details in SI, section IV). This calculation yields a first estimate for the ON/OFF
ratio of about 2, a very modest switching ratio. This calculation
takes a simple view of conduction through the molecule and neglects
through-space interactions or any contributions from longer pathways
through the cyclic unit. While these assumptions might seem reasonable
as a starting point, this raises a common challenge when trying to
rationalize molecular electronics measurements: whether molecules
can be considered as simply a number of bonds/resistors in series.To understand the ON/OFF ratio observed, we simulated the transport
properties for NB-1 and QC-2 using quantum
chemical modeling as shown in Figure . Full details of the simulation method are given in
the SI (Section IV).
Figure 3
Optimized structure of
the device region (scattering region) for NB-1 and QC-2 molecular junctions. The lengths
in brackets correspond to the S–S distance of the gas-phase
relaxed structures.
Optimized structure of
the device region (scattering region) for NB-1 and QC-2 molecular junctions. The lengths
in brackets correspond to the S–S distance of the gas-phase
relaxed structures.The calculated transmission
for the two molecular junctions using
DFTB+ is shown in Figure (a). The transmission through molecules terminated with thiols
is usually dominated by a transmission resonance associated with the
highest occupied molecular orbital (HOMO), whose energy lies close
to the Fermi energy of the gold electrodes.[38,39]
Figure 4
(a)
Transmission calculated with DFTB+ and the auorg parameters
for the molecules NB-1 and QC-2 sandwiched
between the gold electrodes. (b) Local currents calculated with DFTB+
at the Fermi level energy with a symmetric bias of 0.1 eV. The red
arrows indicate a positive contribution to the current density, while
the (small) blue arrows indicate a negative contribution (vide zoomed out front and back insets Figure (b)). The photochemically active region affects
the electron transport properties: a fully conjugated path in NB-1 is replaced by a saturated ring, which reduces the electron
transmission. Moreover, the saturated region in QC-2 perturbs
the current pathway: only 12% of the current goes through the shortest
σ path, while the 88% goes through three σ bonds.
(a)
Transmission calculated with DFTB+ and the auorg parameters
for the molecules NB-1 and QC-2 sandwiched
between the gold electrodes. (b) Local currents calculated with DFTB+
at the Fermi level energy with a symmetric bias of 0.1 eV. The red
arrows indicate a positive contribution to the current density, while
the (small) blue arrows indicate a negative contribution (vide zoomed out front and back insets Figure (b)). The photochemically active region affects
the electron transport properties: a fully conjugated path in NB-1 is replaced by a saturated ring, which reduces the electron
transmission. Moreover, the saturated region in QC-2 perturbs
the current pathway: only 12% of the current goes through the shortest
σ path, while the 88% goes through three σ bonds.Our findings are in accordance
with this: for both systems, the
transmission peak close to the HOMO energy lies near the Fermi energy,
and its tail is responsible for the transmission at the Fermi energy.
Due to the smaller energy gap between occupied and virtual orbitals
of π-conjugated molecules, the decay of the tail of the HOMO
peak in NB-1 is slower than in QC-2 where
the gap is larger. This results in a higher transmission for NB-1 at the Fermi energy. The calculated transmission ratio
between NB-1 and QC-2 at the Fermi energy
is 12. The trends observed in the transmission were also reproduced
in DFT transmission calculations as shown in the SI (Figure S7).While the transmission calculations
confirm that we expect an ON/OFF
ratio of significantly more than 2, the total transmission alone does
not give us any insight into why this is the case. To examine this
point, we probe the transport pathways through NB-1 and QC-2 using local current analysis,[40] the results of which are shown in Figure (b).Local currents of NB-1 show that the current goes
through the C–C double bond as expected, with no evidence of
the current being dominated by anything other than the shortest through-bond
path. However, the situation with QC-2 is somewhat more
complicated. The simple picture of the current pathway had one double
bond being replaced by one single bond, but this is not the dominant
pathway we observe. In fact, the double bond is “replaced”
by three σ bonds, with 88% of the current flowing out through
the longer cyclobutane unit of QC-2 and only 12% taking
the shortest through-bond path. Interestingly, if we perform the same
back-of-the-envelope calculation assuming that we replace one conjugated
bond with three saturated bonds we obtain an ON/OFF ratio of 28.Clearly, the assumption that the current will always favor the
shortest through-bond path breaks down in QC-2. Previous
theoretical work on fully conjugated molecules has shown that the
current may take a longer path when the shortest path is dominated
by quantum interference.[41] The geometry
of the shortest path in QC-2 is indeed very close to
a cis defect, which has been shown to reduce the
current[42] and exhibit interference effects.[38,40]When looking for ring-current reversals as the signature of
interference,[40] we see some evidence of
interference in QC-2 (Figures S8 and S9); however,
the picture is not so definitive. What is clear is that some local
current elements reverse direction, and the current through the shortest
pathway goes through a minimum (significantly below the 12% seen at
the Fermi energy) around the same energy as the transmission minimum.
What this picture does not tell us is why the longer path is favored,
as this is also a σ pathway with a dihedral close to zero.We can probe this question by computing the local currents through
a series of molecules with and without cyclopropane-strained carbons
to determine which geometric features control the balance of current
through the long and short paths (Figure ). These molecular structures have been generated
by simply removing atoms from the QC-2 relaxed structure
and replacing them with hydrogen atoms that are then relaxed while
keeping all parts of the original QC-2 structure fixed.
We find that the symmetry of the carbons connecting the quadricyclane
unit to the π-conjugated arms changes the balance between the
current densities going through the long and the short path. When
the carbons assume a strained sp3 symmetry (Figure structure 1) the longer path
is preferred. When the cyclopropane rings are removed, we find a balance
close to 50/50 between the long and short path (Figure structure 4).
Figure 5
DFTB+ local currents
for a series of modified QC-2 structures. This analysis
shows that the strained geometry of the
cyclopropane rings significantly affects the local features of the
current. Specifically, the strained geometry changes the balance between
the short and long path.
DFTB+ local currents
for a series of modified QC-2 structures. This analysis
shows that the strained geometry of the
cyclopropane rings significantly affects the local features of the
current. Specifically, the strained geometry changes the balance between
the short and long path.While theory and experiment both demonstrate that the ON/OFF
ratio
should be higher than 2, the agreement between the two is certainly
not quantitative. As always with these types of transport calculations,
band line-up between the electrode Fermi energy and the molecular
energy levels is far from perfect.[43] Both
DFTB+ and DFT calculations suffer from this problem, and it is clear
from the transmission that the ON/OFF ratio predicted is sensitive
to the position of the Fermi level. Beyond this issue, it is also
known that treating the effective single-particle Hamiltonian from
a DFT calculation as a true single-particle Hamiltonian for the purposes
of a transport calculation may not always be a good approximation.[38]Chemically, we are also left with the
question of whether the partitioning
of the current through a polycyclic system into interatomic “bond
current” contributions effectively describes the transport.
Saturated systems are known to exhibit both surface and volume delocalization,[44] which suggests the current might also flow through
the space within the QC-2 core. It remains a question
for future work as to when a “bond current” type representation
is accurate, as opposed to a real-space local current representation.[45,46]
Conclusion
In conclusion, we have designed, synthesized,
and characterized
a thiol end-capped norbornadiene-based photoswitch, NB-1. The NB-1 photoswitch is found to have high fatigue
resistance and excellent cyclability. Under nitrogen no sign of degradation
was observed during well over 100 switching cycles at 50 °C.
An STM-BJ conductance study revealed two conductance states, high
(1.2 ± 0.1 × 10–4G0) and low (1.9 ± 0.8 × 10–5G0) conductances. While the switching ratio of
the NB-1/QC-2 photoswitch pair is somewhat lower than
some other well-studied systems,[15,17] it discloses
a significantly different approach for charge transport mechanisms.Through DFT calculations, we have shown that the NB-1/QC-2 photoswitch system effectively modulates the conductance through
a junction, not only by breaking the conjugation but also by forcing
the current to take a longer three-bond path in QC-2 through
the saturated cyclobutane moiety. This result challenges the assumption
that current will simply flow through the shortest through-bond path
and reminds us that the intricacies of quantum systems should not
be ignored; i.e., it can be problematic to consider molecules and
especially cage-like structures such as the QC-2 core
as a sum of bonds. This is not to say that molecules generally cannot
be considered as a sum of their parts; in fact, this has been shown
to be an effective picture in many cases.[47] It simply raises the question of how far one can break down the
system, and clearly there are functional groups that need to be considered
as single units, rather than a sum of bonds.In general, despite
the need to improve the quantum yield for real-world
applications as is the case with other photoswitch systems,[12] this study opens up a new perspective on tuning
molecular conductance: using interference effects to effectively shuttle
current between different parts of a molecule.
Authors: Constant M Guédon; Hennie Valkenier; Troels Markussen; Kristian S Thygesen; Jan C Hummelen; Sense Jan van der Molen Journal: Nat Nanotechnol Date: 2012-03-25 Impact factor: 39.213
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