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Published in final edited form as:
J Am Chem Soc. 2020 April 01; 142(13): 6432–6438. doi:10.1021/jacs.0c01805.
Electronic Conductance Resonance in non-Redox Proteins
Bintian Zhang,
Biodesign Institute, Arizona State University, Tempe, AZ 87287, USA.
Weisi Song,
Biodesign Institute, Arizona State University, Tempe, AZ 87287, USA.
Author Manuscript
Jesse Brown,
Department of Physics, Arizona State University, Tempe, AZ 87287, USA.
Robert Nemanich,
Department of Physics, Arizona State University, Tempe, AZ 87287, USA.
Stuart Lindsay
Biodesign Institute, Department of Physics and School of Molecular Sciences Arizona State
University, Tempe, AZ 87287, USA.
Abstract
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Bioelectronics research has mainly focused on redox-active proteins because of their role in
biological charge transport. In these proteins, electronic conductance is a maximum when
electrons are injected at the known redox potential of the protein. It has been shown recently that
many non-redox active proteins are good electronic conductors, though the mechanism of
conduction is not yet understood. Here, we report single-molecule measurements of the
conductance of three non-redox active proteins, maintained under potential control in solution, as a
function of electron injection energy. All three proteins show a conductance resonance at a
potential ~0.7V removed from the nearest oxidation potential of their constituent amino acids. If
this shift reflects a reduction of reorganization energy in the interior of the protein, it would
account for the long range conductance observed when carriers are injected into the interior of a
protein.
Graphical Abstract
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Corresponding Author: Stuart Lindsay - Biodesign Institute, Department of Physics and School of Molecular Sciences Arizona
State University, Tempe, AZ 87287, USA.
[email protected].
SL is co-founder of a company based on the technology reported here.
Publisher's Disclaimer: This document is confidential and is proprietary to the American Chemical Society and its authors. Do not
copy or disclose without written permission. If you have received this item in error, notify the sender and delete all copies.
SUPPORTING INFORMATION: Work-function measurements, all conductance distributions not shown in the main text,
distributions of tyrosines and tryptophans in the proteins, FTIR spectra of three modified metal surfaces, Tables of all fitting
parameters for the conductance distributions. The Supporting Information is available free of charge at https://pubs.acs.org/doi/
10.1021/jacs.0c01805.
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INTRODUCTION
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Proteins are generally believed to be insulators, practically, because of the need to sustain
high external electric fields,1 and theoretically, because of strong vibronic coupling that traps
carriers.2 Nonetheless, there is ample evidence of long range electronic transport in proteins,
3–5 although almost all of these prior studies have focused on proteins that contain redox
centers, because of their role in biological charge transport and because a considerable body
of evidence suggests that optimal electron-tunneling pathways have evolved in these
particular proteins.6 Motivated by a recent theoretical proposal7 that suggested unusual
electrical properties might be a feature of all functional proteins (and not just proteins
involved in electron transfer) we measured the electronic conductance of a series of nonredox active proteins. These proteins were maintained under potential control in solution, in
conditions that preclude ion currents.8–9 Their conductance was high and showed little decay
with distance10, so long as charge is injected into the protein interior via ligands or other
good chemical contacts. This property has important technological consequences. For
example, protein molecular wires8,11–12 are self-assembing and transport charge over longer
distances10 than synthetic molecular wires.13 This conductance has been shown to depend
on the conformation of a protein, so that enzymatic processes, such as DNA synthesis, can
be followed dynamically with a direct electrical read-out.14 However, the mechanism of
long-range charge transport in non-redox active proteins is unknown at present. The role that
redox centers play in charge-transfer proteins has been demonstrated by electrochemical
gating experiments,15 in which conductance is measured as a function of the electrochemical
potential of the surface to which the protein is bound. In redox proteins, the peak
conductance coincides with the known redox potential of the active site.16–22 As first shown
by Marcus,23 solvent reorganization energy contributes significantly to the redox potential,
and this depends strongly on the solvating medium. Here, we show the existence of a
conductance maximum in three non-redox active proteins. The peak potential is almost the
same in all three proteins studied, indicating a common transport mechanism. It occurs at a
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potential that is about 0.7 V less than the redox potential of aromatic amino acids in
solution, suggesting that the effective Marcus reorganization energy is reduced by this
amount when these same amino acid residues are enclosed in the interior of a protein.
RESULTS AND DISCUSSION
Controlling electron injection energy by changing the electrode metal
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The calculated HOMO-LUMO gaps24 of most proteins are large, so that the Fermi energy of
a metal electrode should be far from that of molecular orbital energies if the Fermi level was
located at mid-gap. However, interfacial polarization (and hence the location of molecular
orbitals relative to metal Fermi energies) is difficult to calculate, so a robust method is
needed to measure these energies. The energy of molecular states responsible for transport
can be probed by measuring the conductance of molecules with different electrode metals.
25–26 In these prior studies, the metal work function served as a measure of the electronic
injection energy. This approximation should not hold generally, because the surface potential
of an electrode is extremely sensitive to chemical modification. Accordingly, the
measurements reported here are carried out under electrochemical potential control, so that
the rest potentials of modified surfaces can be used to quantify the changes in potential as
surfaces are chemically modified.
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The experimental arrangement is illustrated schematically in Figure 1a. A first electrode
(Metal 1) is held at a potential Vr with respect to the reference electrode. A second electrode
(Metal 2) is held at a potential Vb with respect to Metal 1. The molecule (M) sits in a
nanoscale gap between Metal 1 and Metal 2. What is the potential of an electron when it
passes on to the molecule from one of the electrodes? To begin with, we consider the case
where both the reference bias, Vr, and the molecular juntion bias, Vb, are zero. The Fermi
level of the reference electrode is pinned at the redox potential of the redox couple in
solution, μREF by Faradaic processes that maintain constant polarization of the reference
electrode surface. The reference, in turn, supplies or withdraws carriers from each of the
metal electrodes (via low impedance connections) so as to move their Fermi levels, EF1 and
EF2 into alignment at the energy μREF. The work function is defined by27Ф = ϕ − EF where ϕ
is the rise in mean electrostatic potential across the metal surface, generated by the surface
dipole (energies are expressed in eV). Accordingly, when the bulk electrochemical potential
is changed from EF to that of the reference, μREF, the change in ϕ is Δϕ = μREF − EF. The
potential difference seen by a carrier passing from the electrode to a molecule outside the
electrode is given by Δϕ + ϕads where ϕads is the potential difference across an adlayer
(which is assumed to be the same for both electrodes here). If the two electrode metals are
not the same, then the net potential difference between the electrodes is Δϕ1 − Δϕ2 = μREF
−EF1 − (μREF − EF2) = EF2 − EF1. If the molecule is assumed to sit in the middle of the
electric field generated by this difference, then the total potential difference that a carrier
experiences in moving from electrode 1 to the molecule is:
ΔV = EF 1 + ϕads −
EF 1 − EF 2 EF 2 + EF 1
=
+ ϕads
2
2
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with an identical expression for the case of a carrier moving from electrode 2 to the
molecule. When only one electrode material is used, equation 1 becomes
ΔV 1 = EF 1 + ϕads
(2)
This quantity is the rest potential - the potential difference between the modified metal and
the reference measured at infinite impedance (we translate these potentials to those refered
to the Normal Hydrogen Electrode, NHE). For two different electrode metals, the average of
the two rest potentials yields the right hand side of equation 1, and thus the potential
difference experienced as a carrier moves from either electrode to the middle of the gap. For
the case of two identical metal electrodes, this difference is given by equation 2.
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Rest potentials were measured relative to a 3M Ag/AgCl reference (Figure 2a) using a high
impedance voltmeter. Substrates were prepared by sputtering 205±5 nm of Pt, Pd and Au
onto a silicon substrate coated with a 10 nm Cr adhesion layer. Ultraviolet Photoemission
Spectroscopy (UPS - Figure S1, Table S1) was used to determine the work functions as 5.32
eV (Au), 5.02 eV (Pd) and 5.06 eV (Pt), values that are shown on Figure 2b as the points
labeled UHV (Ultra High Vacuum). They have been converted to mV vs. NHE using the
value of 4.625±0.125 eV28 for the work function of the NHE (measurements were accurate
to within a few percent - the error bars show the uncertainty in the NHE work function).
These values change dramatically on contact with the 1 mM phosphate buffer used for
conductance measurements (labeled ‘bare 1’ and ‘bare 2’, where two measurements on
different samples are shown to illustrate the ±5% reproducibility). Subsequent modifications
(Table 1, Figure 2b) have little effect on Pt, a small effect on Pd and a large effect on Au
surfaces.
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Conductance measurements were made by recording IV curves using an STM with a fixed
gap and electrodes functionalized with ligands to trap the target proteins.9 The first system
studied was streptavidin bound to electrodes functionalized with a thiol-terminated biotin9
(Figure 1b) for which the gap was set to 2.5 nm. Trapped proteins gave perfectly linear
current-voltage curves, displaying characteristic telegraph noise above ± 100 mV (Figure
1c). Many repeated measurements of the gradient of these curves yield conductance
distributions for all the contact geometries sampled, examples of which are shown for the
three metals in Figure 1d. Contact resistance is smallest for the two higher conductance
peaks (labeled peaks II and III) so we assume that these are the most sensitive to the internal
electronic properties of the molecule. Both peaks move to lower conductance in going from
Au to Pd electrodes, and to even lower conductance in going from Pd to Pt, illustrating the
sensitivity of the conductance to electron energy, even in this non-redox active protein. We
repeated these measurements with mixed electrode combinations (Au/Pd, Pd/Pt, Au/Pt) to
obtain data points at three additional potentials (using potentials calculated with equation 1).
We also reversed the metals used for the tip and substrate, finding that the conductance peak
values were unaltered (though the height of peaks II and III changed a little, probably
because of the more facile and mobile thiol bonding on Au substrates). Conductance
distributions for all experiments are given in Figs. S2–S7 and the parameters extracted from
Gaussian fits to these distributions are given in Tables S2 to S6. Results for the biotin-
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streptavidin junctions are summarized in Figure 2c. The data points for peak III have been
fitted with a Lorentzian (as described in the discussion) to yield a peak at a potential of
301±3 mV vs NHE (with a full width at half maximum, FWHM, of 183±43 mV).
Controlling electron injection energy by changing the electrode metal
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In the case of Pd electrodes, the region of potential free of Faradaic currents is large enough9
to allow2 us to explore the resonance curve by varying the electrode potential (Vr in Figure
1a) in which case the carrier energy is given by adding Vr to the rest potential given by
equation 2. The results of these measurements are shown for the biotin-streptavidin system
in Figure 2d. The resonance for Peak III is fitted by an essentially identical Lorentzian to
that used in Figure 2c for the case of different metals, with a maximum at 287±8 mV vs.
NHE and a FWHM of 154±28 mV. The agreement between the two methods validates the
assumptions used in the model for the changes in potential experienced with the different
electrode metals.
As a check of reversibility, we ran a separate set of experiments in which a sample was
analyzed at Vr = 0V on the 10mM KCl- Ag/AgCl scale, then again at -223 mV on the same
scale, and then returned to 0V and re-analyzed. The results (Fig. S8) duplicated those
presented in Figure 2d, demonstrating the reversibility of these measurements.
Resonances in other non-redox active proteins
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Bivalent antibodies make excellent electrical contacts to electrodes functionalized with small
epitopes, so we repeated our measurements using electrodes coated with a thiolated
dinitrophenol (DNP) molecules that captured anti-DNP IgE molecules.9 Another system of
technological importance is a doubly-biotinylated Ф29 polymerase trapped between
streptavidin-coated electrodes.14 The streptavidin is connected to the electrodes using
thiolated biotin (as in the example above). In both of these larger systems, the gap size was
set to 4.5 nm. The antibody conductance distribution consists of two peaks (Fig. S4). The
lower conductance peak (peak I) arises from one specific and one non-specific contact10 and
it is dominated by contact resistance. This peak is unaffected by the carrier potential (red and
green points in Figure 3a). Peak II arises from two specific contacts and has a much smaller
contribution from contact resistance. This second peak depends strongly on potential. The
peak of a Lorentzian fit to this potential dependence is again near 300mV (Table II). The
polymerase distributions contain three peaks (Fig. S6) of which peaks II and III are sensitive
to conformational changes in the protein.14 These two peaks are both affected by carrier
potential, as shown in Figure 3b. Once again, the conductance peaks at a potential near 300
mV vs NHE. Fitting paramters are given in Table II.
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CONCLUSIONS
Observation of a conductance resonance is unexpected in a non-redox active protein, if the
redox potentials of amino acid residues are taken as a measure of the energy of molecular
states in the protein. The observation of similar resonances in three electrochemically inert
proteins strongly suggests that the same mechanism controls conductance in all three
proteins, and that the energies of the molecular states responsible for transport are located at
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approximately +300 mV on the NHE scale. In the simplest model of resonant tunneling via a
single electronic level, the dependence of conductance on electronic energy is described by
the Breit-Wigner formula:
G∝
Γ LΓ R
2
E0 − E 2 + Γ LΓ R /4
=
Γ2
E0 − E 2 + Γ 2
(3)
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The expression on the right-hand side is simplified by assuming that the coupling to the left
electrode ΓL is equal to the coupling to the right electrode, ΓR(=Γ), as should apply to the
symmetrically-bonded molecule geometry that gives rise to the higher conductance peaks in
the present work. This is the Lorentzian function that has been fitted to yield the parameters
listed in Table II, where the listed full width at half maximum is equal to twice the value of Γ
in equation 3. The R2 values suggest that this choice of fitting function is reasonable.
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What could be the origin of a molecular level at ~300mV vs NHE? Although the specific
chemical nature of the linker molecules alters the contact resistance, and hence overall
conductance of the system, cyclic voltammetry shows that the linkers are not electroactive
(as is also the case for the proteins used here).9, 14 Furthermore, the diverse nature of the
chemical linkers is not compatible with the universal nature of the resonance reported here.
Thus the resonance is most likely an intrinsic common feature of the proteins. We know that
the conduction path is through the protein: this is shown by experiments that compare the
responses of IgG molecules with the corresponding Fab fragment,9 that measure the internal
decay of conductance with distance,10 and that sense the changes in conductance as
streptavidin binds biotin9 or as a polymerase binds a nucleotide triphosphate.14 The question
then is what common feature of these proteins might account for the resonance? The closest
redox potential among the amino acids are those for the oxidation of tyrosine and tryptophan
at about 1000 to 1200 mV vs NHE29–30 (though the value can be lower, ~ 500mV, in
deprotonated complexes31). All three proteins contain many of these residues in their
interiors (Figure S9). Thus, the reduction of the Marcus reorganization energy barrier inside
the protein (arising from non-ergodic sampling of electrostatic fluctuations proposed by
Matyushov32) could account for discrepancy between the redox potentials of these amino
acids in solution and the conduction maximum energy in an intact protein. Similar
reductions in reorganization energy have been reported for accessible redox centers that are
at least partially embedded in protein or where charge transfer is rapid. For example, the
redox potential of transition metal aqua-ions is reduced significantly if these same ions are
incorporated into a protein33 and the energy loss for rapid electron transport for primary
charge separation in bacterial photsynthesis is reduced to 0.25 eV compared to the
equilibrium value of 1.4eV.34 Although the values of the peak-conductance potentials are
nearly the same in all three proteins (Table II) one might expect the exact amount of
reorganization energy to depend on atomic scale details, so the small differences observed
may be significant. Deeper understanding of these effects requires detailed molecular
modeling, and the streptavidin protein may be small enough to allow for calculations.
The observation of resonant tunneling (in the form of a resonance that fits the Breit-Wigner
formula), and, in some proteins at least, long decay lengths10 and temperature independent
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conductance35 might appear to be consistent with conduction bands as proposed by SzentGyorgyi,36 but the possibility of long-lived quantum-coherence in proteins is controversial.
37 However, theories that extend the Landauer formula to finite temperatures can explain all
of these features without invoking coherent transport.38–39 In this modified Landauer
approach, the Γ ‘s in equation 3 represent coupling between the electrodes and the nearest
energetically-available molecular orbital. In a simple single-tunneling barrier model8 the
electronic coupling is exponentially related to a bond lifetime, so stronger coupling (i.e.,
larger Γ) should correlate with stronger bonding (or equivalently a smaller dissociation
constant, KD). KD for the DNP-anti-DNP IgE bond is 65 nM (Γ = 72 meV), and ~ 10 fM for
streptavidin-biotin (Γ = 180 meV), qualitatively consistent with a relationship between
bonding strength and electronic coupling (Table II).
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Solvent-dependent reorganization would also explain another puzzle: why intact proteins
can be excellent conductors, while hydrated peptide chains are excellent insulators.40 The
same mechanism might play a role in enhancing transport in the protein-clad stacked-heme
molecular wire in geobacter sulfurreducens filaments.11 However, we also note that any
theory based on the Marcus approach is inconsistent with reports of temperatureindependent conductivity.35
EXPERIMENTAL SECTION
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200 nm of Pd, Au or Pt were deposited onto a 10 nm Cr adhesion layer on one inch p-type Si
wafers using an e-beam evaporator (Lesker PVD 75). Samples were cleaned in an electron
cyclotron resonance microwave plasma chemical vapor deposition (ECR-CVD) system
using mixture of H2 (20 sccm) and Ar (2.5 sccm). Samples were transported via an UHV
transfer line (5·10−9 Torr) from the ECR-CVD to a photoelectron spectroscopy chamber
equipped with a differentially pumped helium discharge lamp (21.2 eV) for ultraviolet
photoemission spectroscopy (UPS) with a working pressure of ~4–8·10−9 Torr. An Omicron
Scientia R3000 hemispherical analyzer operated with a pass energy of 2 eV corresponding
to an energy resolution of 3meV. A sample bias of 1.5V and energy offset of 2.7eV is
programmed into the data acquisition software to compensate for the detector work function
(4.2eV). Fits to the UPS spectra are shown in Figure S1 and a summary of work functions
measured before and after cleaning is given in Table S1.
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For the electrochemical measurements, salt-bridged electrodes were constructed as described
previously9 using 3M KCl for the rest potential measurements (210mV on the NHE scale)
and 10 mM KCl for the conductance measurements (360 mV on the NHE scale). Rest
potentials were measured with a Fluke 177 meter (input impedance > 107Ω) and potentials
were stable to within ±5 mV over a period of hours. Sample to sample variation was ±5%.
High density polyethylene-coated Pd and Au probes were prepared as described previously.
For Pt probe preparation, a home-made etching controller was used, outputting an AC
voltage of 30 V with a frequency of about 250 Hz. The etching solution for Pt probes was
freshly prepared 10 M NaOH.42
9, 41
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Substrates were prepared as described above, and functionalized as previously described.
Conductance measurements were made in 1 mM phosphate buffer, pH 7.4, using a
PicoSPM (Agilent) following the procedure described elsewhere.9 Samples and solutions
were prepared as described earlier for biotin-strptavidin9 and for the biotin-streptavidinpolymerase Ф29 system, using a doubly-biotinylated engineered polymerase.14 The
preparation of all solutions, and characterization of substrate surfaces is also described in
these earlier publications. FTIR spectra taken from all three metal substrates are given in
Figure S10.
9, 14
Supplementary Material
Refer to Web version on PubMed Central for supplementary material.
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ACKNOWLEDGEMENTS
We thank David Cahen for suggesting the use of rest potentials to characterize the effective work functions of
modified metal substrates, Dmitry Matyusov for extensive discussions, and Harry Gray and Ismael Diez-Perez for
bringing important references to our attention. Funding: This work was supported by grants HG006323 and
HG010522 from the National Human Genome Research Institute, by Recognition AnalytiX Corp and the Edward
and Nadine Carson Endowment.
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Figure 1:
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Measuring protein conductance under potential control. (a) Illustrating the surface potentials
generated when two metals with different work functions are connected to a reference
electrode. The molecule, M, is assumed to sit in the middle of of the potential gradient
generated by the difference in surface potentials of the two metals. (b) STM measurement of
protein conductance illustrating streptavidin protein (green) bound to electrodes by thiolated
biotin molecules (red). The substrate is held at a potential Vr with respect to a salt-bridged
reference electrode. For conductance measurements, a low (10mM) KCl concentration is
used in the bridge, leading to a 360 mV difference with respect to the NHE. (c) Typical
current-voltage (IV) curve for a single streptavidin molecule. Black data points are scanning
up, red data points are scanning down. The green line is a linear fit yielding the conductance
for this particular contact geometry. (d) Conductance distributions derived from many such
IV curves for biotin/streptavidin on Au, Pd and Pt electrodes as marked. The dashed lines
indicate the positions of peaks II and III in the distribution for the case of Au electrodes.
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Figure 2:
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Streptavidin conductance depends on potential. (a) Rest potentials are measured using a
high-impedance voltmeter (VREST) connected between the electrode and a salt-bridged
reference electrode. In this case the KCl concentration is 3M, corresponding to a 210 mV
shift relative to the NHE scale. (b) Change in rest potentials with surface functionalization as
decribed in Table I. Points from UHV are translated to the NHE scale using the work
function of the NHE. (c) Conductance peak values for a streptavidin molecule as a function
of electrode material (as marked, the first listed material is the STM tip, the second the
substrate). Green triangles are for reversed combinations for the tip and substrate materials.
(d) Conductance peaks measured as a function of potential (Vr in Fig. 1a) for streptavidin on
Pd electrodes. Error bars in c and d are uncertainties in fits to the conductance distributions.
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Figure 3:
An antibody and a polymerase show similar dependence of conductance on potential. (a)
Conductance of an anti-DNP IgE molecule for the electrode combinations shown (blue
triangles are for reversed tip/substrate combinations). (b) A similar distribution for a doublybiotinylated Ф29 polymerase trapped between streptavidin functionalized electrodes. Green
triangles are reversed metal combinations. Parameters for the Lorentzian fits are given in
Table II.
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Table 1:
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Rest potentials measured vs an Ag/AgCl reference with a 3M KCl bridge, converted to NHE by adding 210
mV.
Description
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Pt (mV vs NHE)
Pd(mV vs NHE)
Au(mV vs NHE)
1
435±125
395±125
695±125
2
540.7±17
388.4±4.3
Functionalized with thiolated biotin
585.3±0.2
482.3±0.1
242.5±0.7
Chip/SH-btn/SA
As above bound by streptavidin
578.9±0.4
460.5±1.9
236.8±0.6
Chip/SH-btn/SA/ϕ29
As above bound by a doubly-biotinylated ϕ29
polymerase
564.4±2.8
393.4±0.2
199.8±2.8
Bare chip (repeat)
Films under 1 mM phosphate buffer
567.6±3.3
558.5±1.8
417.2±1.8
Chip/SH-DNP
Functionalized with thiolated DNP
534.0±4.1
508.3±0.7
266.4±1.0
Chip/SH-DNP/Ab
As above + anti-DNP IgE
537.8±0.7
438.1±0.3
256.1±0.2
1
UHV
Plasma-cleaned films in UHV
Bare chip 1 mM PB
Films under 1 mM phosphate buffer
Chip/SH-btn
566.8±3.8
1
UHV data were measured to ±4 meV: the error quoted here (125 meV) represents the spread of values currently accepted for the work function of
the NHE.
2
Errors reflect stability of rest potential measurement. Repeat measurement (see bare chip repeat) indicates a run-to-run variation of ±5% (the error
bars used in Figure 2b).
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Table II:
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Parameters of the Lorentzian resonance in 3 proteins. The peak width here is equal to 2Γ in equation 3.
Sample
Peak Energy (mV vs NHE)
Peak Width (mV)
R2
SH-biotin/SA - Electrochemical gating (Pk III)
287±8
154±28
0.991
SH-biotin/SA - Electrochemical gating (Pk II)
286±5
90 ± 16
0.984
SH-biotin/SA - different metals (Pk III)
301±3
183±43
0.994
SH-DNP/Ab - different metals (Pk II)
319±10
72±33
0.953
SH-biotin/SA/ϕ29 - different metals (Pk III)
259±6
183±33
0.989
SH-biotin/SA/ϕ29 - different metals (Pk II)
263±13
189 ± 64
0.962
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