Abstract
47
Proteins play a key role in biological electron transport, but the structure-function 48
relationships governing the electronic properties of peptides are not fully understood. 49
Despite recent progress, understanding the link between peptide conformational 50
flexibility, hierarchical structures, and electron transport pathways has been challenging. 51
Here, we use single-molecule experiments, molecular dynamics (MD) simulations, non-52
equilibrium Green’s function -density functional theory (NEGF-DFT) calculations, and 53
unsupervised machine learning to understand the role of primary amino acid sequence 54
and secondary structure on charge transport in peptides . Our results reveal a two-s tate 55
molecular conductance behavior for peptides across several different amino acid 56
sequences. MD simulations and Gaussian mixture modeling are used to show that this 57
two-state molecular conductance behavior arises due to the conformational flexibility of 58
peptide backbones, with a high-conductance state arising due to a more defined 59
secondary structure (beta turn) and a low-conductance state occurring for extended 60
peptide structures. Conformer selection for the peptide structures is rationalized using 61
principal component analysis (PCA) of intramolecular hydrogen bonding distances 62
along peptide backbones. Molecular conformations from MD simulations are used to 63
model charge transport in NEGF-DFT calculations, and the results are in reasonably 64
good agreement with experiments. Projected density of states (PDOS) calculations and 65
molecular orbital visualizations are further used to understand the role of amino acid 66
side chains on transport. Overall, our results show that secondary structure plays a key 67
role in electron transport in peptides, which provides new avenues for understanding the 68
electronic properties of longer peptides or proteins. 69
70
71
Significance Statement 72
Electron transport in proteins serves as a biological power line that fuels cellular 73
activities such as respiration and photosynthesis. Within cells, proteins act as conduits, 74
shuttling electrons through a series of reactions and pathways to generate proton 75
gradients and to fuel ATP synthesis. Despite recent progress, the mechanisms 76
underlying the flow of energy in protein complexes are not fully understood. Here, we 77
study electron transport in peptides at the single-molecule level by combining 78
experiments and molecular modeling. Our results reveal two distinct molecular sub-79
populations underlying electron transport that arise due to the flexib ility of peptide 80
backbones and the ability to fold into compact structures. This work provides a basis for 81
understanding energy flow in larger proteins or biomolecular assemblies. 82
83
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3
Introduction
84
Electron transport in proteins is essential for maintaining fundamental life processes 85
such as respiration and photosynthesis 1. In recent years, a wide range of experiments 86
and theoretical studies has focused on understanding electron transfer in biological 87
systems 2–4, ranging from redox events in metalloproteins 5,6 and redox-active cofactors 88
7,8 to metal-reducing bacteria 9 . Recent work has shown that proteinaceous nanowire 89
filaments of metal-reducing bacteria such as Geobacter sulfurreducens exhibit 90
remarkable abilities for long-distance electron transport on the micron scale 10,11. During 91
such redox-mediated electron transport events, intervening residues between redox 92
centers are thought to provide a conductive matrix for electron transport 12. However, 93
proteins exhibit complex secondary structures due to intramolecular hydrogen (H)-94
bonding interactions within the underlying conductive protein matrix . Despite recent 95
progress, understanding how secondary structure formation in peptides and proteins 96
affects electron transport is not yet fully understood. 97
98
Electron transport in molecules can occur by different mechanisms such as single-step 99
(coherent) tunneling, multi-step (incoherent) hopping, resonant tunneling, or flickering 100
resonant tunneling 13–15. The dominant mechanism for nanoscale charge transport in 101
short peptide sequences has been reported as non-resonant coherent tunneling 3,4,16–22, 102
where conductance decays exponentially with molecular length. However, electron 103
transport in long peptide or protein sequences also occurs by hopping 7,23, where 104
conductance decreases inversely with distance. The environment around a protein 105
affects the driving force for the electron transfer reaction and the reorganization energy, 106
in accordance with Marcus theory 24. Molecular conformation and intramolecular H-107
bonding that arise due to the protein sequence and environment are pivotal for 108
controlling biological electron transport over long distances 25. Prior work has focused on 109
understanding electron transport in helical peptides 26–29 using bulk conductivity , 110
electrochemistry, thin-film conductivity, or electronic measurements on assembled 111
peptide monolayers 7,19,27. However, key knowledge gaps remain in understanding how 112
other types of secondary structures in peptides and proteins affect electron transport in 113
biological systems. Elucidating electron transport at the single-molecule level holds the 114
potential to provide valuable new insights into the electronic properties of more complex 115
peptide or protein structures. 116
117
Single-molecule techniques offer the ability to characterize conformation-dependent 118
electron transport in the absence of intermolecular interactions in monolayers or bulk-119
scale measurements. In recent years, single-molecule conductance measurements for 120
peptides have primarily focused on short peptide sequences containing up to two or 121
three amino acids 22,30 or chemically functionalized peptides to facilitate metal electrode 122
contact31. However, peptide backbones are generally more flexible compared to -123
conjugated carbon backbones commonly used in synthetic organic electronic materials, 124
and this enhanced backbone flexibility could give rise to conformation-dependent 125
electron transport pathways in oligopeptides. By using the scanning tunneling 126
microscope break junction (STM- BJ) technique, the phenomenon of electron tunneling 127
while pulling 32,33 single molecules has been studied . In addition, it has been reported 128
that a special arrangement of hydrogen bonds 34,35 could give rise to conducting 129
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pathways in non-conjugated peptide backbones. From this view, single-molecule 130
Methods
offer intriguing routes to understand the role of amino acid sequence and the 131
effect of secondary structure on molecular charge transport in peptides, thereby adding 132
new insights into electronic phenomena and their correlation to structure in biomolecular 133
systems. 134
135
The ability to combine molecular simulation with single-molecule electronics 136
experiments provides a powerful approach to understand biophysical processes. The 137
rich conformational space of biomolecules 36 such as peptides 37 can be explored using 138
molecular dynamics (MD) simulations. Biomolecular simulation offers a predictive tool 139
for structural biology due to the high spatial and temporal resolutions and the 140
extensively tested and validated force fields 38,39. MD simulations have been used to 141
understand the influence of atomic structure on the electronic properties of synthetic 142
organic materials by modeling the structural dynamics of molecular junctions 40–42. 143
However, classical force fields are limited in their description of molecular junctions that 144
involve transition metal atoms such as gold. Incorporating Au atoms into classical MD 145
simulations requires either a physical ly rigorous but computationally demanding 146
quantum mechanical (QM) description of gold and its interaction with the surrounding 147
system, or an approximate but more computationally feasible model of interactions with 148
Au atoms. Examples of the latter include representing gold atoms as dummy particles 149
restricted to only interact with specified anchor atoms through harmonic potentials 41 and 150
utilization of reactive force fields to model bond formation and disruption 43. Molecular 151
conformations generated by MD can be used in computationally efficient QM 152
calculations for improved comparison between theory and experimental results. 153
154
In this work, we investigate the role of amino acid sequence and secondary structure on 155
the electronic properties of peptides using a combination of experiments and 156
computational modeling. A key feature of our work lies in using MD simulations to 157
understand the conformational dynamics of molecular junctions in single-molecule 158
charge transport experiments. A scanning tunneling microscope break junction (STM-159
BJ) technique is used to experimentally characterize the molecular charge transport 160
properties of oligopeptide s. Our results reveal a two-state conductance behavior for 161
peptide sequences contain ing 4 or 5 amino acids . Our results further indicate that 162
longer amino acid sequences can show enhanced conductance values for the extended 163
state due to the presence of aromatic or constrained amino acid side chains. Gaussian 164
mixture modeling (GMM) and MD simulations are used to show that this two-state 165
molecular conductance behavior arises due to the conformational flexibility of the 166
peptide backbone. Classical MD simulations with custom potentials for implicitly 167
representing gold are used to understand the molecular basis for conformation-168
dependent electron transport in peptides. Characteristic conformers for each peptide 169
sequence are selected from MD simulations and quantitatively analyzed using principal 170
component analysis (PCA) to understand the role of hydrogen bonding (H-bonding) 171
interactions along the peptide backbone . Interestingly, results from PCA show that 172
specific H-bonding distances between peptide backbone atoms significantly contribute 173
to the structural variation observed in MD simulations. Molecular conformations from 174
MD simulations are then used in non -equilibrium Green’s function -density functional 175
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theory (NEGF -DFT) calculations to understand the role of molecular conformation on 176
charge transport. Projected density of states (PDOS) calculations and molecular orbital 177
visualization are further carried out to understand the role of amino acid side chains and 178
the underlying transport mechanisms. Our results reveal that an extended peptide 179
sequence gives rise to a low conductance state, whereas a folded conformation (beta 180
turn) gives rise to a high conductance state. Overall, our work highlights the importance 181
of molecular conformation and secondary structure on the electron transport behavior of 182
peptides. 183
184
Results
and Discussion 185
Single-molecule conductance measurements and chemical characterization 186
Tetra- and pentapeptides were designed with different amino acid sequences to 187
understand the role of non-polar aliphatic R groups , aromatic R groups, or sterically 188
constrained R groups on electron transport ( Figures 1a,b,c and Supplementary 189
Figures 1- 10). The N- and C-terminal residues of the tetra- and pentapeptides were 190
selected as methionine, which contains a methyl sulfide (-S- CH3) group that readily 191
binds to gold 44, thereby providing robust electrical contacts to metal electrodes in STM-192
BJ. All STM-BJ measurements on peptides were carried out in water (peptide 193
concentration <1 mM). 194
195
Circular dichroism (CD) spectra were first obtained for all tetra- and pentapeptides in 196
water at room temperature under identical solvent conditions used in STM-BJ 197
experiments (Supplementary Figures 11-15). CD spectra clearly indicate the presence 198
of H-bonding interactions for all tetra- and pentapeptides and show spectral features 199
expected for 3 10 helices, such as a maximum or minimum around ~200-210 nm and a 200
shoulder or small peak around ~220 nm 45,46. CD spectral features for 3 10 helices are 201
qualitatively different than the spectral features observed for alpha helices, beta sheets, 202
or random coils 47. Based on results from CD experiments, the proline and alanine-203
based peptide sequences show minima in CD spectra around 200 nm, which is 204
consistent with a tendency to adopt right-handed 310 helices. On the other hand, peptide 205
sequences containing glycine, tyrosine, and tryptophan show peaks in CD spectra 206
around 200 nm, which is consistent with left- handed 310 helices. Overall, these results 207
clearly indicate the presence of H-bonding interactions amongst the tetra- and 208
pentapeptides characterized in single-molecule electronics experiments. 209
210
We began by characteriz ing the electronic properties of peptides containing non-polar 211
aliphatic R groups. The molecular conductance of oligopeptides was determined using a 212
custom-built STM-BJ instrument ( Figure 1d ), as described in prior work 48,49. Our 213
experiments revealed the presence of two distinct conductance populations, as shown 214
in characteristic single-molecule conductance traces ( Figure 1e). We hypothesized that 215
the high and low conductance states could arise due to a folded , compact conformation 216
and an extended peptide conformation, respectively . Characteristic single-molecule 217
conductance traces for all tetra- and pentapeptides ( Figures 2a,b) indicate that the two 218
conductance states occur in the same individual traces rather than in two separate 219
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molecular sub-populations. This behavior suggests that dynamic conformational 220
changes during molecular pulling events give rise to multiple conductance states. 221
222
One-dimensional and two-dimensional molecular conductance histograms were 223
generated for the tetra- and pentapeptides across ensembles of >5000 single molecules 224
(Figures 2c,d,e,f and Supplementary Figures 16-17 ). A bimodal conductance 225
distribution is observed for all oligopeptide sequences across the entire range of applied 226
biases (100 mV - 400 mV) studied in this work ( Supplementary Figure 18 ). Bimodal 227
conductance distributions can arise due to conformationally distinct molecular sub-228
populations (static heterogeneity) or due to conformation-dependent conductance 229
during molecular pulling (dynamic heterogeneity). To investigate the origins of this 230
behavior, we determined the most probable conductance of the low and high 231
conductance states from a Lorentzian fit to the conductance data 50 ( Supplementary 232
Tables 1-2). The high-conductance peak (~10-2.80 - 10-2.90 G0) occurs at nearly the same 233
value for all the oligopeptide sequences. The low conductance peak value shows a 234
small dependence on the backbone sequence and side chain composition. In addition, 235
the molecular displacement corresponding to the low conductance peak is significantly 236
larger than the displacement for the high conductance peak. Based on these results, we 237
hypothesized that the low conductance peak arises due to an extended peptide 238
configuration, whereas the high conductance peak is related to a folded or more 239
compact peptide conformation. 240
241
There are some subtle differences in the low conductance state for the tetra- and 242
pentapeptides studied in this work , which suggests that amino acid side chain identity 243
plays a role in transport . For the tetrapeptides, the low conductance state of MGGM is 244
~0.2-0.3 log G0 lower compared to all other sequences (MAAM, MYYM, MWWM, and 245
MPPM). These results show that changing the amino acid side chain from hydrogen to 246
a methyl, aromatic , or a constrained side chain leads to an enhancement in 247
conductance. For the pentapeptides, the conductance values for MGGGM and MAAAM 248
are approximately half an order- of-magnitude smaller compared to MYYYM, MWWWM, 249
and MPPPM. The higher conductance values for MYYYM and MWWWM indicate that 250
aromatic side chains can lead to enhanced conductance values . MPPPM has a higher 251
conductance compared to the glycine or alanine-based sequences, as proline provides 252
a constrained side chain that reduces the conformational flexibility and increases the 253
rigidity of the molecule . The high er conductance values observed for the extended 254
conformations for peptides containing tyrosine, tryptophan, and proline sequences are 255
also corroborated by NEGF-DFT simulations ( Figure 5 e,f), as discussed below. Based 256
on these results, STM-BJ experiments reveal several intriguing findings regarding the 257
role of amino acid side chains on oligopeptide charge transport. 258
259
Single-molecule data can be quantitatively analyzed using unsupervised learning 260
algorithms to classify molecular charge transport behavior into characteristic groups and 261
to identify underlying structure-property relationships 31,51–54. Here, we use silhou ette 262
clustering55 (Supplementary Figure 19 ) to determine the optimal number of clusters 263
for data sets corresponding to molecular ensembles for each peptide sequence. 264
Silhouette clustering indicates that the optimal number of clusters for all tetra- and 265
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pentapeptides is two. Gaussian mixture modeling (GMM) is further used to analyze the 266
two different clusters identified by Silhouette clustering ( Supplementary Figures 20-267
21). 268
269
Results
from GMM show that Cluster 1 accounts for 85-95% of the single-molecule 270
traces and shows both characteristic conductance populations appearing together in the 271
same molecular traces. Cluster 2 accounts for only 5-15% of the data and represents 272
traces in which no molecule is detected or only background signal is observed. If the 273
bimodal distribution arose due to stable, conformationally distinct molecular sub-274
populations (static heterogeneity ), then the two characteristic conductance populations 275
would segregate into different clusters. However, our results show that the bimodal 276
conductance populations appear sequentially in single-molecule traces for all tetra- and 277
pentapeptides, which strongly supports conformation-dependent charge transport 278
behavior in peptide backbones (dynamic heterogeneity). 279
MD simulations 280
To understand the role of molecular conformation on charge transport, we performed 281
MD simulations for all tetra- and pentapeptides ( Figures 1a,b,c) in explicit solvent with 282
a series of custom potentials to implicitly represent interactions between peptides and 283
gold electrodes. These custom potentials and their resulting collective variable 284
distributions are shown in Figures 3a,b,c and Supplementary Figure 22. 285
286
The projection of the end- to-end distance (sulfur anchor- to-anchor distance on terminal 287
methionines) of the peptide along the experimental pulling axis was harmonically 288
restrained to a range of values (6 Å, 9 Å, and 12 Å), allowing the peptide to adopt an 289
ensemble of conformations. The conformations observed in MD simulations are not 290
significantly affected by a change in applied voltage ( Supplementary Figure 23), which 291
is consistent with single-molecule conductance experiments. Ramachandran free 292
energy plots 56 ( Supplementary Figures 24-25) were determined for the non-terminal 293
residues for all tetra- and pentapeptides. These results indicate that all sequences can 294
form left-handed or right-handed helices, except for those based on proline , consistent 295
with CD measurements. 296
297
Results
from MD simulations show that backbone hydrogen bonds, which play a key 298
role in defining the secondary structure of the peptide 57, form with remarkable 299
consistency during the 6 Å end- to-end holding of all peptide sequences considered in 300
this work ( Figures 3d,e and Supplementary Figures 26-27). However, H-bonding 301
interactions are completely abolished when the end- to-end distance is restrained to a 302
distance of 12 Å. For the tetra- and pentapeptides considered here, a canonical 303
secondary structure forms at small end-to-end distances, indicative of a beta turn. A 304
beta turn is defined by an H-bond between the carbonyl oxygen of residue i and the 305
amide hydrogen of residue i+3 57. In the tetrapeptides, a 1→4 H -bond is observed, 306
whereas for the penta peptides, a 2→5 H -bond is consistently observed. Two 307
conformers are selected from the 6 Å and 12 Å holding stages ( Figures 3f,g) of each 308
peptide from the peak of the probability distributions of 1→4 H-bond and 2→5 H-bond 309
distances for tetra- and pentapeptides, respectively. It is known that consecutive beta 310
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turns in a longer peptide sequence give rise to 3 10 helices57. From this view, our work 311
suggests that helical elements play a key role in the charge transport behavior of 312
biomolecules with defined secondary structures. 313
314
We next performed a linear dimensionality reduction on the MD trajectories to quantify 315
how individual interatomic distances contribute to the peptide conformational landscape. 316
The main objective of this analysis is to identify conserved structural differences across 317
all peptides of interest between various end- to-end holding stages ( Figure 4 and 318
Supplementary Figures 28-31). Peptides are represented using a Euclidean distance 319
matrix of the common molecular subgraph shared between all sequences. Using this 320
approach, each peptide’s structural ensemble is projected onto a shared basis. In 321
addition, the i→i+3 H-bonding distances selected as a basis for conformer extraction 322
are well captured in the first two principal components, indicating that these distances 323
contribute significantly to the variance in molecular structure compared to other 324
interatomic distances . Regions of conformational space corresponding to small i→i+3 325
distances are shown to depopulate with increasing inter-anchor displacement across all 326
peptide sequences. Based on these results, MD coupled with unsupervised machine 327
learning (ML)-based data analysis clearly elucidates the key structural features for 328
characterizing tetra- and pentapeptides in molecular junctions, revealing the most 329
probable peptide conformations. The most probable conformations are then used in 330
computationally efficient NEGF-DFT calculations to understand the role of molecular 331
conformation on the electron transport properties of peptides. 332
NEGF-DFT calculations 333
To understand the role of molecular conformation on charge transport in peptide 334
backbones, NEGF-DFT calculations are performed using the most probable simulated 335
MD conformations. NEGF-DFT simulations are carried out for extended and turn 336
conformations for each peptide sequence ( Figures 5a,b ) using the TranSiesta and 337
Tbtrans package (Methods). The transmission probabilities as a function of energy 338
indicate stark differences between the turn and extended peptide conformations 339
(Figures 5c ,d and Supplementary Figures 32-34). The conductance at zero bias 340
differs significantly between the extended and the turn state of the tetra- and 341
pentapeptides ( Figures 5e,f ). Our results show reasonable qualitative agreement 342
between experiments and NEGF-DFT simulations ( Supplementary Table 3-6). Results 343
from the combined approach of using MD simulations with NEGF-DFT simulations 344
support the hypothesis that the low conductance population arises from an extended 345
peptide conformation, whereas the high conductance population is related to a more 346
defined secondary structure (beta turn) in the peptide. Figures 5e,f also corroborate the 347
role of amino acid side chains that was observed in experiments on tetra-and 348
pentapeptides. The glycine-based tetrapeptide sequence has a lower value of the 349
transmission probability near the Fermi level for the extended conformation compared to 350
all other sequences. For the pentapeptides, MGGGM and MAAAM show similar 351
conductance values in the extended state , albeit lower than MYYYM, MWWWM and 352
MPPPM. Overall, NEGF-DFT results qualitatively agree with single-molecule charge 353
transport experiments and provide insights into the role of side chains on oligopeptide 354
charge transport. 355
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356
Site specific PDOS calculations were carried out for all tetra-and pentapeptides 357
(Supplementary Figure 35 ) in the extended peptide conformation to understand the 358
role of amino acid side chain s on electron transport. For all tetrapeptides, PDOS 359
calculations were performed for two carbon atoms along the backbone in the energy 360
range of -5 to 5 eV ( Supplementary Figures 36 a,b). At the Fermi energy level for the 361
tetrapeptides (~ -2.20 eV), the PDOS has a relatively low value ( Table 7) due to the 362
non-conjugated peptide backbone. These results imp ly that the backbone orbitals in 363
peptides generally yield small er conductance values near the Fermi level compared to 364
fully -conjugated systems. To compare these results for the various tetrapeptides, the 365
behavior near the Fermi energy level was investigated ( Supplementary Figures 36 366
c,d). Around the Fermi energy level, higher PDOS values are observed for sequences 367
containing tyrosine and tryptophan. For all pentapeptides, PDOS calculations were also 368
performed for three carbon atoms along the backbone in the energy range of -5 to 5 eV 369
(Supplementary Figures 37 a,b,c). The DFT-derived Fermi energy level for the various 370
pentapeptides is around -2.20 eV, with molecular LUMO levels being above the Fermi 371
level by at least 200 meV, though it is important to note that standard DFT generally 372
underestimates the molecular HOMO-LUMO gap. At the Fermi energy level, the value 373
of PDOS approach es zero ( Table 8 ), similar to the case of tetrapeptides . A similar 374
analysis was performed for the pentapeptides near the Fermi energy level 375
(Supplementary Figures 37 d,e,f ), showing larger PDOS values for sequences 376
containing tyrosine and tryptophan for the 1st and 2nd carbon atoms along the backbone. 377
For the 3 rd carbon atom, a relatively high PDOS value is observed for MGGGM , 378
MYYYM, and MWWWM. However, the transmission probability for MGGGM is 379
significantly lower compared to MYYYM and MWWWM . Taken together, these results 380
show that the orbitals of the aromatic side chains tend to mix more readily with the 381
backbone orbitals compared to other amino acids, which leads to enhancement in 382
conductance values. 383
PDOS calculations were also carried out for all carbon and hydrogen atoms 384
(Supplementary Figure 38) for MGGM, MYYM, MGGGM, and MYYYM in the extended 385
peptide conformation . Our results indicate significantly higher PDOS values for the 386
sequences containing tyrosine compared to glycine. Overall, these results indicate that 387
oligopeptide sequences with aromatic side chains have more contribution from the 388
backbone orbitals to the overall electronic density and hence molecular conductance. 389
Molecular orbitals were plotted using Siesta 58 and visualized using Vesta 59 390
(Supplementary Figures 39- 42). Here, HOMO, HOMO-1, LUMO and LUMO +1 are 391
plotted for the glycine and tyrosine-based tetra- and pentapeptides using an isosurface 392
value of 0.025. These results illustrate relatively weak coupling between the molecules 393
and electrodes, which is consistent with the transmission function results observed for 394
the oligopeptides, in agreement with the proposed tunneling mechanism. These results 395
further suggest the absence of - stacking interactions between the tyrosine 396
sidechains. Overall, these results are consistent with non-resonant tunneling rather than 397
resonant tunneling or flickering resonant transport mechanisms for electron transport . 398
Prior work by Xiao et al. 22 characterized electron transport in short peptide sequences 399
such as cysteamine-glycine-glycine -cysteine and cysteine-glycine -cysteine, with results 400
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showing an exponential decay in conductance as a function of molecular length , 401
consistent with single-step tunneling as the dominant transport mechanism. The tetra-402
and pentapeptides based on glycine studied here are of similar length, with the primary 403
difference of methionine as the N- and C-termini amino acids in place of cysteine or 404
cysteamine. Based on these results, and the relatively short distance of transport 405
observed in our molecular junctions (< 1.4 nm60), our results are fully consistent with off-406
resonant coherent tunneling for the oligopeptides studied in this work. 407
408
During the STM-BJ pulling experiments, we observe two conductance states related to 409
two distinct molecular conformations. To further understand the role of H-bonding on 410
transport pathways, we used a bond counting methodology based on the tunneling 411
pathway model61,62. In general, there is a conductance decay associated with through-412
bond, through-space, and through -H-bond electron transport 63. Tunneling is generally 413
more efficient for through-bond compared to through-space transport due to the lower 414
potential barrier 64. As a rule of thumb, it can be assumed that the conductance decay 415
through an H-bond is twice as large compared to the decay through a covalent bond 64. 416
Supplementary Figure 43 indicates that if transport were to occur entirely through -417
bond, then the pathway would be approximately three bonds longer with an order of 418
magnitude smaller decay compared to the case of electron transport through H-bonds65. 419
420
To further understand the importance of H- bonds on transport, we performed control 421
experiments for STM -BJ using 1,16-hexadecanedithiol ( Supplementary Figure 44) in 422
1,2,4-tricholorbenzene. 1,16-hexadecanedithiol has a similar contour length as the 423
peptides studied in this work but with a flexible alkane chain backbone and no possibility 424
of intramolecular H-bonding. Our results show that two conductance populations are 425
observed for the peptides (at ~10 -2.8 G/G0 and 10 -4.2 G/G0), but no significant 426
conductance peaks are observed for the flexible alkane backbones , though a faint 427
population is observed between ~10-1 -10-2 G/G0, which arises due to the use of different 428
anchors and strong binding between the - SH terminal anchor groups and the gold 429
electrode66. Overall, these results show a two order- of-magnitude increase in molecular 430
conductance for a peptide compared to an alkane chain with similar contour length. We 431
further compared these results to prior work in the literature. Inkpen et al. 67 studied 432
charge transport in alkane chains such as C 12(SH)2 and C 12(SMe)2, and only a single 433
conductance population was observed below ~ 10-5 G/G0 for the C 12 sequences. It 434
should be noted that t he average conductance values reported for the C 12 sequences 435
are approximately one order- of-magnitude lower compared to the low conductance 436
state of the 17- or 19-mer oligopeptide sequences studied in this work . Taken together, 437
these results show that the electron transport behavior of alkane chains is significantly 438
different than peptides due to intramolecular backbone H-bonding. 439
440
In this work, we use a combination of single-molecule conductance experiments, MD 441
simulations, and NEGF-DFT calculations to investigate the charge transport properties 442
of a series of different peptide sequences. Our results unequivocally reveal the 443
structure-function relationships governing the observed electron transport in peptides, 444
highlighting the importance of secondary structure on charge transport in biomolecules . 445
Unsupervised learning is used to analyze single-molecule conductance data, showing 446
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that peptides exhibit a bimodal conductance distribution with a low and high 447
conductance population arising from distinct conformational states of peptide 448
backbones. A key feature of our work lies in using MD simulations to sample and 449
characterize the conformational space of the peptides and to identify conformations to 450
be used in electron transport (NEGF-DFT) calculations . Moving forward, our work could 451
provide new avenues to understand the interplay between molecular charge transport 452
and secondary structure in more complex peptide sequences with mixed amino acids 453
and/or longer peptides. Proteins are candidate materials for fabricating functional 454
molecular electronic devices due to biocompatibility, anti-fouling properties 68, and 455
tunable redox activity due to aromatic amino acids 69. From this view, our work can 456
provide further insights into understanding the role of higher order assembled structures 457
on biological charge transport, which can be used to inform the design self-assembled 458
bioelectronic materials. 459
460
Methods
461
462
Oligopeptide sequences 463
All oligopeptide sequences were purchased from GenScript (Piscataway, NJ). Mass 464
spectrometry data for these sequences are provided in the Supplementary Information 465
(Supplementary Figures 1-10). 466
467
Single-molecule conductance measurements 468
Single-molecule conductance measurements were performed using a custom-built 469
scanning tunneling microscope break junction (STM-BJ) 48,49,66. Gold STM tips were 470
prepared using 0.25 mm Au wire (99.998%, Alfa Aesar). STM-BJ experiments were 471
carried out in Milli-Q water (Specific resistance of 18.2 MΩ·cm @ 25 °C ). Due to the 472
polarity of the solvent, STM tips were coated with an Apiezon wax to prevent Faradaic 473
currents from masking characteristic molecular features 70. Gold su bstrates for the 474
measurements were prepared by evaporating 120 nm of gold on polished AFM metal 475
discs (Ted Pella). Peptide concentrations ( 5000 traces) are 477
generated for all molecules without data selection. Silhouette clustering and Gaussian 478
mixture modelling (GMM) were further used to analyze the bimodal conductance 479
distribution (Supplementary Information). 480
481
MD simulations 482
Molecular dynamics (MD) simulations were performed to generate conformational 483
ensembles for the tetra- and pentapeptide molecular junctions at three anchor 484
displacements (referred to as stages 6 Å, 9 Å, and 12 Å ). For each peptide, 16 initial 485
structures were prepared using the PeptideBuilder python package 71. Phi and psi 486
backbone dihedrals of each of the 16 structures were randomized independently. Each 487
backbone dihedral angle of non -proline residues was initialized to a random value 488
between -180 and 180 degrees, whereas the p hi angle of proline was initialized to a 489
random value between -80 and -50 degrees. Hydrogens were added to the peptides 490
with the VMD plugin PSFGEN 72 using the NTER and CTER terminal patches to create 491
positively and negatively charged N- and C-termini, respectively. Peptide structures 492
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12
were then solvated in a cubic box of TIP3P water of side length 38 Å using the VMD 493
SOLVATE plugin72. The solvated systems were then subjected to MD simulations with 494
the CHARMM36m protein force field 38,39 using OpenMM 7.7.0 73. Dynamics were 495
integrated using the LangevinMiddleIntegrator 74 with friction coefficient of 1 ps -1, 496
temperature of 300 K, and a timestep of 4 fs. Hydrogen mass repartitioning was not 497
utilized. Bonds involving hydrogen atoms, and all bonds and angles involving water 498
were constrained 74. Nonbonded interactions were computed with a cutoff of 12 Å with 499
smooth switching starting at 10 Å. Electrostatic interactions were evaluated using 500
particle mesh Ewald 75 (PME) summation with error tolerance of 0.0005. Each replicate 501
was simulated for 200 ns for each of three holding stages, for a total aggregate 502
simulation time of 96.0 μs (10 peptides × 3 stages × 16 replicates × 200 ns ). The 503
conformational ensemble of each peptide is shown to converge after 200 ns of 504
simulation per replicate per holding stage ( Supplementary Figures 45-46). Holding 505
stages were enforced using a series of custom external potentials, applied using 506
OpenMM’s custom force classes, described below. The last 190 ns of each simulation 507
was used for subsequent analysis. 508
509
A series of custom potentials were implemented to implicitly represent interactions 510
between the peptide and gold particles. Three potentials were defined: (1) a potential to 511
restrain the distance between the anchors of the molecular junction along the pulling 512
axis to 6 Å, 9 Å, or 12 Å (representing the restraints imposed by connections to the gold 513
electrodes); (2) a per-atom charge-dependent potential along the pulling axis 514
accounting for electric field forces arising from a voltage-biased junction; and, (3) a 515
potential that orients methionine’s thioether moiety such that the average position of 516
each sulfur’s lone pairs are oriented towards the (implicitly represented) gold electrodes 517
along the pulling axis. These potentials are described in detail in the next section and 518
depicted in Supplementary Figure 17. 519
520
After MD simulations, characteristic conformations of each peptide were determined 521
from their aggregate MD trajectories. For each peptide, two conformations were 522
selected from their 6 Å and 12 Å holding-stage simulations at the peaks of their 523
respective hydrogen-bond distance distribution histograms. The H-bond distance 524
distributions used as the basis for conformation selection for the tetra- and 525
pentapeptides were the 1 ⟶4 and 2 ⟶5 distances, respectively. All free energy plots 526
(Figures 4b ,c and Supplementary Figures 21,23 ) were prepared using PyEMMA 527
2.5.1176. 528
529
Custom potential for implicit gold peptide interactions 530
A key challenge for simulating single-molecule pulling processes is large difference 531
between the pulling rates used in experiments and those accessible by MD simulations . 532
Typical experimental pulling rates are on the order of Angstroms per millisecond (1 Å 533
per 5 ms in present study), whereas single-trajectory MD simulations (at most) typically 534
reach ms timescales, e.g., with the use of bespoke hardware 77 or massively distributed 535
computing schemes78. In addition, the need for multiple independent simulation replicas 536
to claim ensemble convergence and statistical certainty of key observables further 537
restricts simulations to sub-experimental timescales. However, because the 538
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13
experimental pulling rate is also slow relative to characteristic relaxation timescales of 539
small peptides, we assume that all molecular conformations accessible at a given end-540
to-end distance are sampled during each step of the experimental pulling process. In 541
other words, experimental pulling occurs as an equilibrium process. Rather than 542
performing costly simulations of the entire pulling process, it is more computationally 543
feasible to simulate the molecular junction at various holding (end- to-end distance) 544
stages representing the different separation distances arising during the pulling 545
experiments. 546
547
Using this approach, we perform ed a series of independent simulations where we 548
restrained the end- to-end (sulfur-sulfur) distance along the pulling axis to one of three 549
distances spanning the range of end-to-end distances (6 Å, 9 Å, or 12 Å). We define the 550
pulling axis as the z-axis in our simulations. Schematic illustrations for each potentia l 551
are shown in Supplementary Figure 17. The functional form of the potential utilized to 552
enforce this restraint is given in Equation 1: 553
554
𝑈1 =
1
2 𝑘1[(𝑧𝑆2 − 𝑧𝑠1)− 𝑧0]2, (1)
555
where the coefficient k1 is the force constant of the harmonic potential, zS1 and zS2 are 556
the z-coordinate of the sulfur atoms of the N-terminal and C-terminal methionine 557
residues respectively, and z0 is the equilibrium distance for the given stage. We use a 558
value of 1 kcal/mol/Å 2 for k1, and we utilize three independent holding stages with z0 559
equal to either 6 Å, 9 Å, or 12 Å. This force constant was selected such that the 560
resulting distributions of zS2 – zS1 distances have slight overlap ( Supplementary 561
Figures 17a,d). 562
563
By restraining the z-displacement between the sulfur atoms, rather than the distance, 564
the movement of each sulfur atom is effectively restrained to one of two parallel planes 565
which implicitly represent two parallel planes of gold electrode. 566
567
A potential is introduce d to represent an applied electric field due to the voltage 568
difference across the two electrodes. The functional form is given in Equation 2: 569
570
𝑈2 = ∑ −𝑞𝑖𝐸𝑧𝑖
𝑁𝑎𝑡𝑜𝑚𝑠
𝑖=1
= ∑ −𝑞𝑖 ( 𝑉
𝑧0 + 2𝑙𝑆−𝐴𝑢
)𝑧𝑖
𝑁𝑎𝑡𝑜𝑚𝑠
𝑖=1
(2)
571
where Natoms is the total number of atoms in each system including solvent, qi is the 572
charge of atom i, zi is the z-coordinate of atom i, z0 is the equilibrium end- to-end 573
distance (displacement along z) for a holding stage, and lS-Au is the length of the sulfur-574
gold bond. 575
576
We further introduce a potential to orient each sulfur atom’s lone pairs in either the 577
positive or negative z-direction, such that a feasible dative bond may occur between the 578
sulfur and a fictitious gold particle. This is a key step in ensuring that any conformation 579
generated by MD simulations can be placed into a gold-gold junction for subsequent 580
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14
NEGF-DFT calcu lations. Because electron lone pairs are not explicitly represented in 581
atomistic MD simulations, we define surrogate vectors that involve each sulfur’s 582
adjacently bonded carbon atoms to act as a proxy for the direction of the electron lone 583
pairs (Supplementary Figure 17b). We impose a restraint directly on the dot product of 584
each surrogate vector with the pulling axis. The functional form of this potential is shown 585
in Equation 3: 586
587
𝑈3 = ∑ 𝑘3 [|𝑟 ⃗𝑆𝑖 − (
𝑟 ⃗𝐶𝐺𝑖 − 𝑟 ⃗𝐶𝐸𝑖
2 )| ∙ 𝑧 ⃗]
2
𝑖=1
= ∑ 𝑘3[|𝑝 ⃗𝑖| ∙ 𝑧 ⃗](−1)𝑖
2
𝑖=1
588
where 𝑟 ⃗𝑆𝑖 represents the three-dimensional Cartesian coordinates of the sulfur atom of 589
interest, with S 1 and S 2 subscripts indicating the identity of the sulfur atoms in the N-590
terminal and C-terminal methionine residues, respectively, 𝑟 ⃗𝐶𝐺𝑖 and 𝑟 ⃗𝐶𝐸𝑖 are Cartesian 591
coordinates of the adjacent carbon atoms covalently bonded to each sulfur of interest, 592
and 𝑧 ⃗ is the unit vector in the direction of the z-axis. Vertical lines denote vector 593
normalization. The final term in the equation determines the sign of the potential (and 594
thus the direction of the surrogate vector) allowing for one sulfur’s lone pair to be 595
oriented in the positive z-direction while the other is oriented oppositely in the negative 596
z-direction. The value of k3 is taken as 10 kcal/mol, resulting in a strong potential that 597
tightly secures the orientation of sulfur lone pairs towards the implicitly represented gold 598
electrodes (Supplementary Figures 17c,e). 599
600
Principal component analysis of MD trajectories 601
The resulting MD trajectory data was subjected to dimensionality reduction by means of 602
principal components analysis (PCA). PCA was performed separately for the tetra- and 603
pentapeptides simulations. For the tetrapeptides, the Cartesian coordinates of the 604
peptide backbone heavy atoms were extracted. The Euclidean distance matrix upper 605
triangle was computed for these 17 shared backbone atoms, resulting in a 136-606
dimensional vector representation for each trajectory frame. These vector 607
representations, concatenated across all sequences and holding stages and each 608
interatomic distance, were standardized with Z-score normalization. Finally, the first two 609
principal components were calculated with PCA-whitening using the scikit-learn python 610
package79. PCA of the pentapeptide trajectories was performed following that of the 611
tetrapeptides, with the exception that the shared molecular subgraph of the 612
pentapeptides was instead composed of 21 backbone heavy atoms, resulting in a 210-613
dimensional vector representation for each MD trajectory frame. All other steps were 614
performed identically. 615
616
NEGF-DFT calculations 617
NEGF-DFT calculations are performed with a DFT based non- equilibrium Green’s 618
function (NEGF) approach using the TranSiesta and Tbtrans package 58,80,81. The 619
electrodes contain 8 layers of 16 gold atoms along with a pyramid of 10 Au atoms . 620
Sulfur atoms in the oligopeptide were made to interact with the gold atoms using a 621
trimer binding motif, as described in literature 30. Geometry relaxation of the sequences 622
were performed using generalized gradient approximation-Perdew-Burke -Ernzerhof 623
(GGA-PBE) functional82 using the TranSiesta package 58. SZP basis sets were used for 624
(3)
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15
all the gold atoms. DZP basis sets were used for carbon, hydrogen, oxygen, sulfur, and 625
nitrogen. Electrode calculations were carried out with a 4 × 4 × 50 k-mesh. The 626
geometry relaxation was carried out using a 4 × 4 × 1 k-mesh, which was performed till 627
all the forces were < 0.05 eV/Å. After the junction was relaxed, the transport calculations 628
were carried out using the TranSiesta package 80,81 with the same functionals, basis 629
sets, pseudopotential, and k-mesh as the geometry relaxation. Tbtrans 81 was used to 630
carry out the NEGF calculations and to obtain electron transmission as a function of 631
energy (relative to the fermi energy level). NEGF calculations were carried out from - 5 632
eV to 5 eV with 0.05 eV energy increments . The transmission plots are shifted with 633
respect to the Fermi energy values of each peptide. The difference between charged 634
and uncharged species for the MAAM turn configuration (this is a trial sequence, and 635
not the same sequence obtained from the MD simulations using PCA) has been 636
reported in Supplementary Fig. 27 . There are similar qualitative agreements between 637
charged (zwitterionic) and uncharged species. 638
639
PDOS calculations were carried out for the peptides in the molecular junctions from - 5 640
eV to 5 eV using Siesta 58. The PDOS calculations were carried out using two Au 641
pyramids and two Au layers, repeated periodically. The PDOS calculations are carried 642
out and plotted over a suitable energy range such that the Fermi energy level of eac h 643
peptide falls within the interval. For the PDOS calculations, the plane-wave orbitals are 644
projected into atomic orbitals, and the resulting projection coefficients and atomic orbital 645
overlaps that correspond to a given value of the energy in the plot are multiplied 646
together and summed over for each atom of interest. Orbital visualizations were carried 647
out for the molecule with one gold atom on each side using Siesta 58. The orbitals were 648
visualized using Vesta59 to plot HOMO, HOMO-1, LUMO, and LUMO+1 energy levels. 649
650
Corresponding author 651
Further information and requests for resources should be directed to and will be fulfilled 652
by the lead contact Charles M. Schroeder (
[email protected]). 653
654
Data Availability 655
Solvent-stripped molecular dynamics trajectories are available at: 656
https://doi.org/10.5281/zenodo.7843691 657
All other data are available from the corresponding author upon request. 658
659
Code Availability 660
STM-BJ data were acquired using a custom instrument controlled by custom software 661
(Igor Pro, Wavemetrics). Codes for MD simulations and analysis are available at: 662
github.com/moeenmeigooni/peptide-conductance 663
664
665
666
667
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16
668
669
670
671
672
673
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866
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21
Figure Captions 868
Figure 1: Schematic of experimental setup and chemical structures of peptides studied 869
in this work. Structures of tetra- and pentapeptide with (a) nonpolar aliphatic, (b) 870
aromatic, or (c) sterically constrained R-groups. (d) Schematic of a single-molecule 871
junction containing peptide with sequence Met- Ala-Ala-Met (MAAM) using 872
conformations from MD simulations. (e) Characteristic single-molecule trace for a 873
peptide with sequence MAAM revealing two distinct conductance populations. 874
Figure 2: Scanning tunneling microsco pe-break junction (STM-BJ) measurements of 875
oligopeptides at 250 mV applied bias. (a), (b) Characteristic single-molecule traces for 876
tetra- and pentapeptides. (c), (d) 1D conductance histograms for the tetra- and 877
pentapeptides. (e), (f) 2D conductance histograms for MGGM and MGGGM. 878
Figure 3: Molecular dynamics (MD) simulations methodology and results. (a) Inter-879
anchor displacement potentials at 6 Å, 9 Å, and 12 Å holding stages defined in Eq. 1 . 880
(b) Schematic of applied electric field defined in Eq. 2. (c) Sulfur-orienting potential 881
defined in Eq. 3. (d), (e) Violin plots showing backbone H-bonding distance distribution 882
for tetra- and pentapeptides indicating elimination of intramolecular H-bonds at larger 883
displacements (12 Å). Triangles indicate peaks in the molecular extension distribution at 884
which peptide conformers are selected for NEGF-DFT calculations . (f), (g) Snapshots 885
for tetra- and pentapeptide conformations at small (blue, 6 Å) and large (green, 12 Å ) 886
displacements. 887
Figure 4: Principal component analysis (PCA) results showing the effect of end- to-end 888
stretching on peptide conformation and molecular descriptors. (a) Structure of MAAM 889
turn conformation from MD simulations shown in a single-molecule junction. (b), (e) 890
Principal component projections for M AAM turn conformational landscapes denoted 891
with respect to energy and H-bonding distance at a 6 Å holding stage . (d) Structure of 892
MAAM extended conformation from MD simulations shown in a single-molecule 893
junction. (c), (f) Principal component projections for M AAM extended conformational 894
landscapes colored with respect to energy and H-bonding distance a 12 Å holding 895
stage. Regions of conformational space corresponding to low i → i+3 backbone H-bond 896
distances are shown to deplete with increasing inter-anchor displacements as denoted 897
by the black dotted circle. Blue and green crosses correspond to MAAM turn and 898
extended conformations, respectively. 899
Figure 5: Non-equilibrium Green’s function -density functional theory (NEGF-DFT) 900
calculations for electron transport. (a), (b) Schematic of molecular junctions showing 901
gold metal electrodes and MGGM turn and extended conformations for NEGF-DFT 902
calculations. (c), (d) Transmission probability as a function of energy (relative to the 903
Fermi energy level) for MGGM and MGGGM, showing drastic differences in 904
transmission probability at E - E F = 0 for the turn (blue) and the extended (green) 905
configurations. (e), (f) Zero bias conductance for tetra- and pentapeptides indicating 906
large differences in transmission probabilities between the two conformational states. 907
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Acknowledgments 908
This work was supported by the U.S. Department of Energy, Office of Science, Basic 909
Energy Sciences under Award No. DE-SC0022035 for M. Meigooni, H.Y., J.L., E.T. , 910
X.L, and C.M.S. and the National Science Foundation under Award 2227399 for R.S. 911
and C.M.S. 912
Author contributions 913
R.S., M. Meigooni, and C.M.S. conceived this study. R.S. performed STM-BJ 914
experiments and NEGF-DFT calculations. M. Meigooni performed MD simulations and 915
PCA analysis. H.Y. assisted with control experiments and J.L. assisted with GMM 916
modeling. X.L assisted with the CD meas urements. M. Mosquera and N.E.J. assisted 917
with the NEGF-DFT calculations. E.T. and C.M.S. supervised the research. The 918
manuscript was written by R.S., M. Meigooni, E.T. and C.M.S. with contributions from all 919
authors. 920
Competing Interests 921
The authors declare no competing interests. 922
Additional Information 923
Supplementary information contains supplementary figures, supplementary tables, and 924
supplementary text. 925
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