Kavita
Garg
*a,
Chiranjib
Majumder
b,
Shiv K.
Gupta
c,
Dinesh Kumar
Aswal
c,
Sandip Kumar
Nayak
a and
Subrata
Chattopadhyay
a
aBio-Organic Division, Bhabha Atomic Research Centre, Mumbai, India. E-mail: kavitachemistry1@gmail.com; schatt@barc.gov
bChemistry Division, Bhabha Atomic Research Centre, Mumbai, India
cTechnical Physics Division, Bhabha Atomic Research Centre, Mumbai, India
First published on 16th November 2015
Two Si-based hybrid self-assembled monolayers of porphyrin based on a D–s–A system were synthesized by electro-grafting. The monolayers showed a stable and reversible rectification at room temperature. The monolayer fabricated using a porphyrin with an eleven-carbon alkyl chain linker was comparatively more compact and exhibited a 105 times higher rectification ratio (RR) relative to another similar system that had a six-carbon alkyl chain linker, possibly because of the compact packing.
Amongst the many electron-rich organic molecules, porphyrins27 are ideally suited for fabricating molecular devices because they: (i) can form stable π-cation radicals and exhibit two accessible cationic states in their monomeric forms;28–32 (ii) have long charge retention times, resulting in lower power consumption; (iii) are highly stable,33 and (iv) can form self-assembled structures.34 In view of these favourable attributes, porphyrins have been extensively used as π molecules for the construction of storage devices, molecular wires and memory devices. Reports on current rectification using C60–porphyrin combinations also exist.35 Molecules exhibiting rectification behavior with a high rectification ratio (RR) are very useful for making diodes. According to Aviram and Ratner, a single molecule with a donor–spacer–acceptor (D–s–A) structure should behave as a rectifying diode when placed between two electrodes, where the σ-bond bridge prevents the direct overlap of the donor (D) and acceptor (A) energy levels to allow unidirectional flow of current.1 Several groups have experimentally verified this model, but porphyrins have never been used for this purpose in silicon hybrid systems.36,37 In the present investigation, two such single molecules (5a/5b) were synthesized, where porphyrin and aniline moieties served as the (A) and (D) units respectively, while a –CH2–NH– moiety was anticipated to be a suitable spacer. These molecules were electro-grafted onto Si-surfaces using the C-6/C-11 alkenyl chain of 5a/5b as the linker to construct the respective MMS heterostructures. Measurement of their I–V behavior revealed high current RRs for these assemblies. Moreover, a subtle change in the linker length significantly changed the monolayer packing on the Si-surface, resulting in a pronounced alteration in the current rectification properties.
Fast scan (10 V s−1) CVs (Fig. 3) of the respective porphyrin monolayers exhibited a reversible peak at +0.8 V, confirming attachment of the porphyrin moieties. This was absent in the blank Si sample and the C-11 alkyl monolayers. The net charge transferred during the oxidation process, calculated from the area under the oxidation peak divided by the scan rate were 8.6 × 10−7 C and 2.45 × 10−6 C for 5a and 5b, respectively. Using these values, the surface coverages for the monolayers were calculated using the formula: surface coverage = total charge/(F × area dipped in electrolyte). The surface coverages were 1.11 × 1012 and 4.5 × 1014 molecules per cm2 for 5a and 5b, respectively. Thus, the areas occupied by each molecule in the 5a and 5b monolayers were 90 nm2 and 22 Å2, respectively, indicating that 5b formed more compact monolayers than 5a. The significantly higher value for 5a compared to that previously reported19 for monolayers of simple C18-, C16-, and C12-alkanes on Si (100) revealed poor packing. This may be due to the edge-on orientation of the porphyrins.47 On the other hand, the value for the 5b monolayers matched well with the theoretically calculated diameter (14.8 Å) of TPP,48 indicating that the molecules were tightly packed due to π–π stacking, which was also revealed in the AFM images (Fig. 2). Consistent with the AFM analysis, the surface area covered by 5b was several fold that covered by 5a.
SIMS of the 5a monolayers showed mass peaks at m/z 795, 691, 675 and 596 amu, while for the 5b monolayers peaks appeared at m/z 777 and 386 amu (Fig. 4), revealing that the molecules remained intact during the grafting process. The observed higher mass fragments, in the case of the C-11 monolayers, was consistent with its longer alkyl chain length vis-à-vis that of the C-6 monolayers.
IR peaks due to –CH2 vibrational modes can provide better insight into the van der Waals interactions between the alkylated porphyrin rings anchored parallel on the Si surface. This, in turn, may help explain the better packing of the 5b monolayers vis-à-vis that of 5a. In pure solid alkane monolayers, the hydrocarbon chains exist in an all-trans configuration such that the carbon backbone of each molecule lies in a single plane. However, in liquid form, there is substantial out-of-plane twisting around the individual bonds, altering the frequency of the –CH2 vibrational modes.45,49 The polarized FTIR spectrum (Fig. 5) of the 5a monolayers exhibited a N–H stretching frequency at 3251 cm−1 along with symmetric (νs) and asymmetric stretching (νa) vibrational modes for the CH2 groups at 2856 and 2927 cm−1, respectively. In contrast, the respective IR absorption peaks of the 5b monolayers were at 3255, 2840 and 2921 cm−1. Our results showed that the alkyl chains in the monolayers of 5b are more rigid like those in pure solid alkanes, while those in the monolayers of 5a are twisted. This clearly explained the observed improvement in packing for the 5b (C-11 linker) monolayers over the 5a (C-6 linker) layers.50 From the X-ray photoelectron spectroscopy (XPS) data, the peak for the monolayers at 99.5 eV could be attributed to the Si–C bonds, while the absence of a SiO2 peak at 103 eV confirmed that the monolayers were free of SiO2 (Fig. SL3†).
Fig. 6 (a) I–V measurement set up; (b) experimental I–V characteristics of 5b [inset: I–V curve for 5a]. The I–V characteristics of all samples were similar, so representative curves are shown. |
The I–V curves (Fig. 6(b)) of the devices constructed using the monolayers of 5a and 5b showed current rectification in the reverse bias. The maximum RR was observed at ±1 V for both of the devices. The ratio for the monolayers prepared using 5b was very high (107), while that for 5a (C-6 linker) was ∼100. However, while both systems were stable during repeated voltage scanning up to 100 scans at a scan rate of 0.01V s−1, the RRs reduced gradually from their original values to ∼10000 for 5b and ∼10 for 5a after 50 scans.
It is already well known that when electrodes are asymmetric (and especially when the work functions of the electrode materials are different) any molecule can show current rectification.51,52 Therefore, to see the effect of using asymmetric electrodes (if any), we also recorded the I–V curves of two control devices made of (n++) Si/Hg (SL4 (a)†) and (n++) Si/C-11 alkyl monolayers/Hg (SL4 (b)†). These showed marginal rectifications with RR I+/I− values of 0.75 and 2, respectively. Recently, we constructed a n+-Si/pyrene C-11 monolayers/Hg device, which exhibited current rectification in the positive bias with RR of 100 at 1 V.53 Furthermore, a n+-Si/5-(4-undecenyloxyphenyl)-10,15,20-triphenyl porphyrin (TPP C-11) monolayers/Hg system constructed by our group showed a marginally asymmetric I–V with significant hysteresis. In the positive bias scan (0 to +0.8 V), the current jumped by an order of magnitude at +0.6 V. However, on the reverse scan (+0.8 to 0 V) the current did not retrace the curve and remained at a higher value.54 Taken together, the I–V curves of all these devices clearly indicated that the results for the present devices were not due to electrode asymmetry. Moreover, the I–V results for the n+-Si/TPP C-11 monolayers/Hg device indicated that the observed rectifications in the negative bias using the 5a/5b molecules were not due to resonance tunnelling through the TPP moiety.
The AFM and fast scan CV results showed better molecular stacking of the 5b monolayers, which may be due to the longer alkyl bridge in 5b than in 5a.55 This may contribute to the better electrical characteristics of the 5b monolayers because the overlapping of electron clouds favours the generation and transport of charge carriers to induce intrinsic conductivity. Consequently, a significantly higher maximum RR was observed for the 5b monolayers. Control experiments, carried out with a blank Si sample as well as C-11 alkyl chain-grafted Si-wafers showed nearly symmetrical sigmoidal I–V curves (Fig. SL4†), eliminating any doubt about artifacts.
The void sizes (∼0.2–0.4 nm) of the present Si–alkyl porphyrin/Hg junctions were small compared to the size of the Hg drops (∼40 μm). Therefore, Hg drops are unable to penetrate through the pinholes of the SAMs and the measured I–V is expected to be direct. Statistical analyses of the data and junction yields are extremely valuable to discriminate artifacts from the real data. Previously, Kim et al.,56 and Nijhuis et al.,57,58 employed extensive statistical analyses to assess the performance of SAM-based devices. In the present work, we constructed only 80 devices for each of compounds 5a and 5b. Nevertheless, we analyzed the statistics of our I–V results as shown in Fig. 7 and Table 1, and summarized below. For compound 5a, only 25% of the devices showed RR values of 80–100, while an additional 15% of the devices showed RR values of 50–80. However, the RR values of 44% of the devices were <50, while 16% of the devices didn't show any rectification. The device statistics for the monolayers of compound 5b were very impressive. The RR values for the majority (35%) of the devices were 105–106, while 21% of the devices showed RR values of 106–107. Another 20% showed RR values of 104–105, and the rest had RR values of 1–104. The performance of the devices made of compounds 5a and 5b were satisfactory. In particular, the RR values of the Hg/5b/Si (n++) devices were far superior to that of molecular rectifiers reported so far.53,57,58
Molecule | No. of samples | No. of devices in each sample | Total no. of devices | No. of devices exhibiting rectification |
---|---|---|---|---|
5a | 10 | 8 | 80 | 67 |
5b | 10 | 8 | 80 | 80 |
The current rectification properties of various D–s–A-based SAMs and LB films in contact with noble metal electrodes have been described.59 Results for some representative examples clearly establishes the significantly superior performance of the devices described in the present study. For example, a LB film of a pyrenyl carbamate in a M–M–M junction exhibited a RR value of 130 at ∼2.5 V.60 Likewise, quinolinium and tetrahydroisoquinolinium iodide-based SAMs deposited on Au substrates showed RR values of 50–150 and 30–80, respectively, at ±1 V.61,62 Meanwhile, the RR value for SAMs of quinolinium salts joined by a truncated S–C3H6 group on a Au surface was found to be 12 at ±1 V.63 In another study, a LB monolayer of the D+–π–A− molecule, hexadecylquinolinium tricyanoquinodimethanide on Au electrodes showed a maximum RR of 27.5 at 2.2 V.64
However, literature reports on metal–porphyrin–semiconductor junctions are scarce. SAMs of 4-aminothiophenol/ZnTPP/fulleropyrrolidine (PyC2C60) on a Au (111) surface showed a modest RR of 24 at 1.8 V.35 Interestingly, self-assembled layers of Fe(III)-5,15-di[4-(s-acetylthio)phenyl]-10,20-diphenyl porphyrin on annealed Au crystal facets on glass substrates showed asymmetric I–V curves with the highest RR up to 9000, but the majority of the devices showed RR = 20–200 at ±1 V.65
To confirm our current rectification results, we computed the theoretical I–V curve of the device made of 5b. Initially, the ground state (GS) geometry of molecule 5b was optimized using an ab initio molecular orbital theory based LCAO-MO approach as implemented in the GAMESS software. The ionic optimization of molecule 5b was carried out without any symmetry constraint at the B3LYP/6-31G(d,p) level of theory. To calculate the transport characteristics, a suitable device was constructed using the optimized configuration of the molecule as the central device region between two electrodes. Besides the active parts of the device, the central region also included a sufficient part of the contacts, such that the properties of the electrode regions could be described as bulk materials. This could be ensured by extending the central region into a few layers of the metallic contacts. The calculation of the electron-transport properties of the system was divided into two parts: (i) a self-consistent calculation for the electrodes with periodic boundary conditions in the transport direction, and (ii) a self-consistent open boundary calculation of the properties of the central region, where the electrodes define the boundary conditions. The complete details of the method are described in the literature.66
In the present experimental set-up, we have used a highly doped Si substrate that is expected to undergo reconstruction. This restricted accurate modelling of the molecule–substrate interface using the ab initio formalisms of our computational resources. Therefore, a model for a two-probe system was constructed (Fig. 8(a)) by placing the molecules between two Au electrodes. We modelled the electrodes as part of truncated solid crystals. Unlike Hg, which is liquid under the experimental conditions and has a complicated structure, Au possesses a well-defined face-centred cubic crystal structure. Additionally, the pseudo-potential for Au is robust and it has been tested and used by many groups as a model electrode.67,68 Understandably, the chosen system is not ideal for verification of the experimental results. However, our calculations were primarily aimed at a qualitative understanding of the electron transport through these molecules, and not a quantitative comparison, justifying our choice of Au electrodes. It is worth noting that Zheng et al.69 recently reported the NDR properties of C60 based electronic devices, wherein they claimed that the findings were independent of the type of electrodes used. For construction of the theoretical device, a thiol end group was used for attachment of the molecule with the electrode. The interface geometry of the thiol-terminated molecule and the electrode was optimized to ensure good overlap between the device and the electrodes.
Previously, we have reported the interaction of methyl thiol, a prototype device molecule, with an extended Au(111) surface using a plane wave based pseudopotential method.70 The results showed that the terminal S atom binds at the hollow site of the Au(111) surface and the distance between the Au and S atoms is 2.52 Å. Using this information, we constructed the model for our present calculations. Two Au(111)-8X8 surfaces were used as the left and right electrodes. The Au/molecule/Au configuration was divided into three parts: left electrode, right electrode, and the central scattering region. In our models, there were three Au layers in each of the left and right electrode unit cells. The scattering region was composed of the isolated molecule together with the respective two Au layers on the left and right sides. The electron-transport properties of the Au/molecule/Au systems were investigated using the ATK 11.2.3 program, where semi-empirical extended Hückel theory, in combination with a first-principle NEGF, was employed.71 A k-point sampling of 100 was used in the electron-transport direction (Z direction).70 Consistent with the experimental results, the theoretical I–V curve also showed rectification in the reverse bias (Fig. 8(b)).
In general, the forward bias current-flow should be determined by the HOMO states of the molecules, while their respective LUMO states would dictate the reverse bias current. The observed rectification in the reverse bias is a result of an alignment of the LUMO levels of the molecules with the Fermi-levels of the electrodes. To verify this, we determined the HOMO and LUMO energy levels (Table 2) of 5b by theoretical calculations using an ab initio method (GAMESS software). Ionic optimization without any symmetry constraints was carried out at the B3LYP/6-31G(d,p) level of theory where the exchange correlation functions are expressed using hybrid density functional theory. It was observed that the HOMO of the molecule was at −4.707 eV and the LUMO at −2.062 eV. The HOMO of the molecule (located at p-aminophenol group) is in close proximity to the Fermi level of electrode, but due to non contact with the electrode, resonance tunnelling will be difficult. For the LUMO, the energy difference with the electrode Fermi level is too large to undergo resonance tunnelling. Therefore, the observed current rectification is unlikely to be due to resonant tunnelling, but molecular asymmetry (D–s–A), which favours Aviram and Ratner's mechanism for rectification.
Energy values in eV | |||
---|---|---|---|
Tetraphenylporphyrin | p-Aminophenol | 5b | |
HOMO−2 | −6.53074 | −7.97294 | −5.4757 |
HOMO−1 | −5.52391 | −7.04775 | −5.1448 |
HOMO | −5.30622 | −5.41507 | −4.7990 |
LUMO | −2.55787 | −0.48981 | −2.1984 |
LUMO+1 | −2.53066 | −0.05442 | −2.1739 |
LUMO+2 | −0.9524 | 0 | −0.5831 |
From the spatial distribution of the HOMO and LUMO energy levels (Fig. 9), it could be seen that the HOMO was localized on the p-aminophenol segment, while the LUMO was on the porphyrin ring, and their separation by the spacer, CH2, allowed a unidirectional flow of electrons. This is consistent with the Aviram and Ratner theory that suggests that a single molecule with a donor–spacer–acceptor (D–s–A) structure should behave as a diode when placed between two electrodes if a non-conjugated σ-bond bridge prevents direct overlap of the donor and acceptor energy levels. Moreover, a monolayer will rectify if its molecules are aligned in register between two electrodes such that they work together when electrons flow from the electrode MD (attached to the acceptor) to D, and then exit from A to the electrode MA (attached to the donor).
To underscore the mechanism of electron flow between the donor and acceptor moieties, we also calculated the energy levels of the individual components (p-aminophenol and TPP) of 5b using the same computational approach. The energy level diagram of the constituent species is shown in Fig. 10. The LUMO energy level of p-aminophenol was at a higher energy than the TPP moiety. This will make it the donor. Therefore, under reverse bias, when electrons flow from MD to D, the electrons will move from the HOMO of p-aminophenol to its LUMO, tunnel through the bridge to the vacant LUMO of TPP, and finally transfer to the Hg electrode to complete the reverse-direction flow.
In principle, reversing the orientation of the molecular dipole would change the I–V curves of the devices. This would also confirm that the observed rectification is not simply because of the non-symmetric nature of the device system.72 However, construction of this type of device is synthetically more demanding for the following reasons. The synthesis has to start with an unsymmetrical porphyrin, wherein the porphyrin needs to have the alkenyl attachment at one of its pyrrole moieties for grafting to the Si wafers. Synthesis of the required porphyrin proceeds via mono-bromination of the porphyrin followed by a Stille coupling with 11-trimethylstannyl undecene. Next, the unsymmetrical porphyrin needs to be formylated for the subsequent attachment of the aniline moiety. However, formylation of unsymmetrical porphyrins is never clean, and we experienced the formation of a mixture of products, formylated at different sites, and their purification was extremely cumbersome. Moreover, the grafting of such a molecule may not self-assemble in a similar manner to that used in the present work. Thus, the I–V results of the newly constructed device may provide unreliable results, despite having the reverse geometry. To confirm this hypothesis, the GS geometry of a 5b-congener having the alkenyl attachment at one of the pyrrole moieties in the porphyrin core was theoretically optimized, as done for 5b. The GS geometry of the congener revealed that both the porphyrin and aniline moieties lie on same side (Fig. SL5†). Therefore, the Si-grafted 5b-congener would be positioned in such a manner that the Hg electrode would preferably interact with the porphyrin core. However, 5b has many possible conformers, and the possibility of touching the mercury electrode by one of its straight conformers cannot be excluded. Nevertheless, based on the I–V results of the TPP C-11 monolayers54 and that of 5a/5b, it is tempting to propose that the observed current rectification is because of the nature of the molecules.
POCl3 (7.9 mL, 52 mmol) was added drop wise to anhydrous DMF (5.5 mL, 75.6 mmol) at 0 °C to obtain the Vilsmeier complex as a thick golden liquid. To this was added a cold suspension of the Cu(II)–porphyrinato salt (0.500 g, 0.73 mmol) in dichloroethane (50 mL). The reaction mixture was brought to room temperature, refluxed for 5 h, cooled to room temperature, and left overnight. Concentrated H2SO4 (10 mL) was added to the ice-cold mixture and stirring continued for 10 min. The green mixture was poured into ice-cold aqueous NaOH (0.625 M, 1 L) with occasional shaking until disappearance of the green colour. The mixture was extracted with CHCl3 (2 × 200 mL), then the organic layer was washed with saturated NaHCO3 (2 × 350 mL) until neutral before being dried over MgSO4. Solvent removal in vacuo followed by column chromatography (silica gel, 40% CHCl3/hexane) of the residue gave 2 (0.085 g, 75%). m.p.: >250 °C (MeOH/CHCl3); UV-Vis (CH2Cl2) λmax [nm]: 431, 526, 567, 606, 664; δH (600 MHz; CDCl3; Me4Si) 9.40 (m, 1H), 9.24 (s, 1H), 8.90 (m, 4H), 8.78 (d, J = 2.3 Hz, 2H), 8.25 (d, J = 7.0 Hz, 2H), 8.20 (m, 6H), 7.79 (m, 12H); δC (75 MHz; CDCl3; Me4Si) 189.4, 142.5, 141.9, 141.7, 135.1, 134.7, 133.5, 130.8, 129.1, 128.5, 128.2, 128.0, 127.7, 127.5, 127.1, 126.9, 122.7, 120.7, 120.4, 120.1; MALDI-TOF: m/z (%) 642 d; LCMS m/z (%): 643.3 amu. Found: C 83.84; H, 4.82; N, 8.49%. Calcd for C45H30N4O: C 84.09; H, 4.70; N, 8.72%.
3a: δH (600 MHz; CDCl3; Me4Si) 8.18 (m, 2H), 6.93 (m, 2H), 5.83 (m, 1H), 5.01 (m, 2H), 4.06 (t, J = 6.0 Hz, 2H), 2.14 (q, J = 6.0 Hz, 2H), 1.84 (quint, J = 6.8 Hz, 2H), 1.58 (m, 2H); δC (75 MHz; CDCl3; Me4Si) 164.2, 141.3, 138.3, 125.9, 115.0, 114.4, 68.7, 33.3, 28.4, 25.2; LCMS m/z (%): 222.0 amu. Found: C, 65.26; H, 6.77; N, 6.33%. Calcd for C12H15NO3: C, 65.14; H, 6.83; N, 6.33%.
3b δ H (600 MHz; CDCl3; Me4Si) 8.18 (m, 2H), 6.93 (m, 2H), 5.94 (m, 1H), 4.93 (m, 2H), 4.04 (t, J = 6.0 Hz, 2H), 2.04 (q, J = 6.0 Hz, 2H), 1.82 (quint, J = 6.6 Hz, 2H), 1.28 (m, 14H); δC (75 MHz; CDCl3; Me4Si) 164.3, 141.3, 139.2, 125.9, 114.4, 114.2, 68.9, 33.8, 29.5, 29.4, 29.3, 29.1, 29.0, 25.9; LCMS m/z (%): 292.0 amu. Found: C, 70.47; H, 8.78; N, 4.59%. Calcd for C17H25NO3: C, 70.07; H, 8.65; N, 4.81%.
5a: UV-Vis (CH2Cl2) λmax [nm]: 410, 514, 549, 589, 645; δH (300 MHz; CDCl3; Me4Si) 8.82 (m, 6H), 8.64 (d, J = 4.8 Hz, 1H), 8.17 (m, 8H), 7.73 (m, 12H), 6.72 (m, 2H), 6.48 (m, 2H), 5.83 (m, 1H), 4.98 (m, 2H), 4.45 (s, 2H), 3.88 (t, J = 6.6 Hz, 2H), 1.97–2.19 (m, 3H), 1.76 (m, 2H), 1.54 (dt, J = 15.3, 7.6 Hz, 2H), −2.79 (broad s, 2H); δC (75 MHz; CDCl3; Me4Si) 151.7, 142.4, 142.3, 142.1, 141.9, 138.7, 134.7, 134.6, 133.2, 128.5, 127.8, 127.7, 127.3, 126.8, 126.7, 120.7, 120.3, 119.5, 119.4, 115.7, 114.7, 68.6, 45.1, 33.6, 29.8, 29.0, 25.4; MALDI-TOF: m/z (%): 818. Found: C, 83.04; H, 6.08; N, 8.04%. Calcd for C57H47N5O: C, 83.69; H, 5.79; N, 8.56%.
5b: m.p.: >250 °C; UV-Vis (CH2Cl2) λmax [nm]: 411, 514, 548, 589, 646; δH (600 MHz; CDCl3; Me4Si) 8.70 (m, 6H), 8.64 (d, J = 5.9 Hz, 1H), 8.22 (m, 4H), 8.12 (m, 4H), 7.73 (m, 12H), 6.70 (m, 2H), 6.48 (d, J = 8.2 Hz, 2H), 5.81 (dd, J = 17.0, 10.0 Hz, 1H), 5.01 (d, J = 16.4 Hz, 1H), 4.95 (d, J = 10.6 Hz, 1H), 4.45 (broad s, 2H), 3.87 (t, J = 7.0 Hz, 2H), 3.74 (broad s, 1H), 2.11 (m, 2H), 1.74 (m, 2H), 1.54 (t, J = 8.2 Hz, 2H), 1.20–1.31 (m, 10H), −2.77 (broad s, 2H); δC (75 MHz; CDCl3; Me4Si) 151.8, 142.3, 142.2, 142.1, 141.9, 139.3, 134.7, 134.6, 133.2, 128.5, 127.8, 127.7, 127.3, 126.8, 126.7, 117.4, 115.7, 115.6, 114.7, 114.2, 68.8, 68.7, 33.9, 32.0, 29.8, 29.7, 29.6, 29.5, 29.2, 29.0, 26.1, 22.8, 22.2; MALDI-TOF m/z (%): 888. Found: C, 83.40; H, 6.17; N, 8.63%. Calcd for C62H57N5O: C, 83.84; H, 6.47; N, 8.56%.
Footnote |
† Electronic supplementary information (ESI) available: Schematic representation of the electro-grafting mechanism, the electrochemical deposition of undecene, I–V characteristics of the blank Si sample and C-11 alkyl monolayers on a silicon wafer, XPS of the monolayers and the optimised geometry of the 5b congener with reverse geometry. Tables of atom coordinates and absolute energies used for theoretical calculations. See DOI: 10.1039/c5sc03590b |
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