Davide
Marchi
a,
Eleonora
Cara
b,
Federico Ferrarese
Lupi
b,
Philipp
Hönicke
c,
Yves
Kayser
c,
Burkhard
Beckhof
c,
Micaela
Castellino
d,
Petr
Klapetek
e,
Alberto
Zoccante
a,
Michele
Laus
a and
Maurizio
Cossi
*a
aDipartimento di Scienze e Innovazione Tecnologica (DISIT), Università del Piemonte Orientale, via T. Michel 11, I-15121, Alessandria, Italy. E-mail: maurizio.cossi@uniupo.it
bIstituto Nazionale di Ricerca Metrologica (INRiM), Strada delle Cacce, 91, 10135, Torino, Italy
cPhysikalisch-Technische Bundesanstalt (PTB), Abbestr. 2-12, 10587, Berlin, Germany
dDepartment of Applied Science and Technology, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129, Turin, Italy
eDepartment of Nanometrology, Czech Metrology Institute, Okružní 31, 638 00, Brno, Czech Republic
First published on 5th September 2022
Self-assembled monolayers (SAM) of 7-mercapto-4-methylcoumarin (MMC) on a flat gold surface were studied by molecular dynamics (MD) simulations, reference-free grazing incidence X-ray fluorescence (GIXRF) and X-ray photoelectron spectroscopy (XPS), to determine the maximum monolayer density and to investigate the nature of the molecule/surface interface. In particular, the protonation state of the sulfur atom upon adsorption was analyzed, since some recent literature presented evidence for physisorbed thiols (preserving the S–H bond), unlike the common picture of chemisorbed thiyls (losing the hydrogen). MD with a specifically tailored force field was used to simulate either thiol or thiyl monolayers with increasing number of molecules, to determine the maximum dynamically stable densities. This result was refined by computing the monolayer chemical potential as a function of the density with the bennet acceptance ratio method, based again on MD simulations. The monolayer density was also measured with GIXRF, which provided the absolute quantification of the number of sulfur atoms in a dense self-assembled monolayer (SAM) on flat gold surfaces. The sulfur core level binding energies in the same monolayers were measured by XPS, fitting the recorded spectra with the binding energies proposed in the literature for free or adsorbed thiols and thiyls, to get insight on the nature of the molecular species present in the layer. The comparison of theoretical and experimental SAM densities, and the XPS analysis strongly support the picture of a monolayer formed by chemisorbed, dissociated thiyls.
Despite such a widespread interest, many key features of thiol/gold monolayers are still debated: even for some fundamental characteristics of the interface, as the nature of sulfur–gold bond or the weight of intermolecular interactions inside the organic layer, different models have been proposed with no unique interpretation of the experimental data. For instance, the protonation state of the sulfur atom bonded to the metal surface is not unanimously accepted:30,32,39 though most researchers assume that the S–H bond is dissociated and de-protonated sulfur is covalently bound to gold atoms,2,40–42 some evidences have been presented showing that the layers can also be formed by undissociated thiol molecules.43–46 (The former model is also referred to as “chemisorption”, in contrast with the latter described as “physisorption” to stress the absence of a typical covalent bond between protonated sulfur and gold).
The present work contributes to this investigation, comparing the structure and stability of different SAMs of 7-mercapto-4-methylcoumarin (MMC) on gold (111) surfaces. A number of monolayers, formed either by undissociated thiol or radical thiyl MMC units (Fig. 1), have been modeled theoretically, and the results compared with the absolute quantification of MMC surface density obtained by means of reference-free grazing incidence X-ray fluorescence (GIXRF) in SAMs prepared on 100 nm-thick gold layers. Moreover, X-ray photoelectron spectroscopy (XPS) characterization was performed to determine the nature of the thiol/thiyl S–Au chemical bond.
(A note on the terminology: since nearly all the proposed models for the dissociation of the S–H bond are based on a homolytic cleavage, eventually leading to H2 formation, we prefer to consider the dissociated species as a radical thiyl rather than a thiolate ion, unlike many published studies. Whether the R–S unit has to be seen as a radical or an ion depends on the charge distribution in the S–Au bond, and appears as a rather unessential question in this context.)
The gold (111) surface was modeled by cleaving a three layers thick slab out of the metal bulk structure: the periodic unit cell comprises 24 × 24 atoms in each layer and its surface area, considering an atomic radius for gold of 0.1385 nm, is 38.2 nm2.
All the MD runs were carried out with GROMACS2020 package,47 while the single point energy calculations needed for FF parameterization were performed with LAMMPS package.48 The initial force field was GROMOS 54A7, provided by the Automated Topology Builder (ATB)49 website, and used as such to reproduce MMC bonded interactions and intermolecular energies.
The interactions between MMC (molecule and radical) with the gold surface were parameterized against DFT calculations on small model systems, with an incremental procedure. First, the parameters for the interactions of aromatic C and H atoms with gold were determined for benzene on the Au surface; then the parameters for the –SH group were optimized using benzenethiol (keeping the previous parameters fixed); aliphatic C and H parameters were added by considering methyl–benzenethiol, and finally oxygen and radical S parameters were obtained with MMC.
All the details of the FF parameterization, along with the results of the benchmarking and checking, and the optimized parameters are reported in the ESI.† We are also providing in the ESI† the complete FF in the GROMACS format.
After an initial energy minimization, to remove spurious close contacts, the MD simulations were performed with 2 × 106 steps of 0.5 fs for equilibration, and 2 × 106 steps of 1 fs for production runs. A 2 nm cut-off was used for the van der Waals and electrostatic interactions, using the PME method for longer distances; during all the simulations, Au positions were kept frozen.
The MMC chemical potential in the monolayers at various densities was computed as the free energy of decoupling50 of one thiol or thiyl from the gold slab and the rest of the layer, using the bennet acceptance ratio (BAR) method51 implemented in GROMACS (gmx BAR procedure), and sketched in the ESI.†
![]() | (1) |
The element-specific fluorescence photon count rate Pe,K is obtained by a spectral deconvolution procedure (details in the ESI†) and then converted to the mass of the element of interest per unit area σe, expressed in g cm−2, by combining the atomic fundamental parameters and calibrated instrumental parameters. The radiometrically calibrated instrumental parameters, i.e. the sine of the incidence angle θ, the incident photon flux Φ0, the solid angle of detection Ω/4π, are known due to the use of the well-known physically calibrated instrumentation56 and are used to correct Pe,K. The factor 1/k corrects the photon count Pe,K for the deviation from a non-flat distribution of the target element, through the analysis of the surface area and its ratio to the theoretical area. Another correction factor accounts for the SDD's detection efficiency ε(Ee,K) at the photon energy of the fluorescence line K for the element e and the incident photon energy E0 and angular dependent relative intensity of the XSW field IXSW(E0, θ).57 Finally, the tabulated fundamental parameters τe,K(E0) and ωe,K are the partial photoionization cross section and fluorescence yield related to the K-shell of the target atom e, respectively. They form the production cross section for fluorescence radiation of the element of interest.
Powder sample has been loaded directly on a steel mask by attaching it on a double-sided conductive tape. The Au thin film deposited on Si substrate and functionalized with MMC has been attached on the 2-inches sample holder surface by means of double-sided conductive tape. Working pressure, inside the main chamber, reached a maximum value of 10−6 Pa. Details about the signal analysis provided in the ESI.†
The MD evidenced substantially different behaviors for thiols and thiyls. In the former case, when the SAM density reached 2.05 molecules per nm2 some thiols began to leave the surface during the dynamics, being readsorbed in the SAM later, in a sort of exchange with the double layer mentioned above; for number densities larger than 3.72 nm−2 the second layer became stable and every new molecule added to the SAM was expelled during the MD, floating above it, so we consider this density value as an upper bound for thiol SAMs.
On the other hand, thiyls can be packed more closely than thiols and form denser SAMs, as expected for their much larger interaction energy with gold, which balances the intermolecular repulsions in the crowded layers. Indeed no radical was observed to leave the monolayer during the MD up to a density of 4.84 radicals per nm2: above this value, all the newly added thiyls were expelled from the SAM during the dynamics, forming also in this case a second layer above it. Clearly, while a second layer is likely to be formed above dense enough thiol SAMs, the existence of radical thiyls floating outside the layer is much less reliable, and one would simply expect that no further thiyls can be formed in a too crowded layer: in this sense, the present result indicates the maximum number density dynamically stable in these conditions.
Besides investigating the density limit of stable monolayers, MD can provide some insights also about the SAM structure at various coverages. Apart from the units leaving the surface at high densities, mentioned above, molecules and radicals were found either in ‘horizontal’ or ‘vertical’ arrangement: in the former (related to the “striped phase” observed in many STM images,58 even if in our case the thermal motions produce disordered layers) the units lie down on the slab maximizing the interaction of all the atoms with the surface, in the latter sulfur interacts strongly with gold, while the rest of the organic atoms are involved mainly in side intermolecular interactions, which can be overall attractive or repulsive, depending on the SAM density. A number of STM and theoretical (mainly ab initio) studies2 have shown that at low temperature dense SAMs of alkylthiols tend to form ordered structures, with a well defined tilting angle between the alkyl chains and the gold surface: our FF is not constructed to reproduce this detail of the structure, since we are interested in the overall stability of the layer, with a reliable calculation of molecule/surface and molecule/molecule interactions, including the strong thermal motions at room temperature.
Some representative snapshots of the simulated thiol and thiyl SAMs are shown in Fig. 2: clearly the position and orientation of the organic units change during the dynamics, but we found that the number of horizontal and vertical arrangements at the various densities is remarkably stable at 298 K.
The simulations show that at low coverage the organic units prefer to lie on the surface, because the interactions with the gold atoms are favored with respect to the intermolecular ones. As the SAM density increases, more and more molecules and radicals stand vertically, in agreement with the mechanism of the monolayer formation often proposed in the literature.59–62 Thiol SAMs are less ordered then thiyl layers: in the former numerous molecules remain in horizontal position even at high densities competing with their vertical counterparts for the gold surface. As noted above, it is not possible to simulate an all-vertical thiol SAM, since the molecules prefer to leave a too crowded layer.
On the other hand, the vertical arrangement is easier in thiyl SAMs, since it allows a better interaction between the sulfur and gold atoms (which is markedly stronger than the analogous interaction in thiols) compensating the partial loss of stabilization when the molecule/surface interactions are substituted by side-side intermolecular ones. As a consequence, thiyl SAMs can be denser and more ordered: at high densities, almost all the radicals are in vertical position, allowing a closer packing. A picture of the ordered patterns established in a dense thiyl SAM, with several MMC phenyl rings stacked in lines is shown in the ESI.†
The information obtained with MD, however, can be complemented by the calculation of the monolayer chemical potentials as a function of the SAM density. The chemical potentials μSH(n), μS(n) are defined as the free energy changes associated to the addition of a MMC unit to an already formed SAM of (n − 1) molecules or radicals, respectively. In the practice, these quantities are computed by removing one molecule or radical from a n-units SAM: since various molecules/radicals can experience different interactions inside the SAM, the calculations are repeated for 5 random units and averaged.
The calculation of the chemical potentials was performed with the method illustrated in the Section “Methods” on the SAMs previously modeled and equilibrated with MD: the values obtained for thiol and thiyl at the various densities are collected in Table 1. Such potentials are referred to an isolated molecule or radical in ideal gas state; μSH(n) and μS(n) cannot be directly compared to each other, nor used to estimate the ΔG of SAM formation, unless other contributions are included, for instance for desolvation and S–H bond dissociation. This thermodynamic analysis is beyond the scope of this paper, and will be considered in a future work.
Thiol | Thiyl | ||||
---|---|---|---|---|---|
n | ρ | μ SH(n) | n | ρ | μ S(n) |
24 | 0.50 | −226 ± 1 | 24 | 0.50 | −352 ± 2 |
99 | 2.05 | −136 ± 9 | 103 | 2.12 | −310 ± 15 |
147 | 3.04 | −121 ± 10 | 171 | 3.53 | −255 ± 3 |
171 | 3.54 | −109 ± 7 | 190 | 3.93 | −196 ± 11 |
180 | 3.72 | −108 ± 7 | 196 | 4.06 | −137 ± 17 |
205 | 4.24 | −86 ± 11 | |||
215 | 4.45 | +22 ± 5 | |||
234 | 4.84 | +298 ± 29 |
The data show that the chemical potential of thiol SAMs remains negative even at the highest densities attainable with the MD equilibration. One could wonder why it is not possible to simulate SAMs with higher densities, then: as mentioned above, when the monolayer density grows, an increasing number of thiols leave the gold surface during the MD and form a sort of second layer, strongly interacting with the underlying molecules still in the SAM. The chemical potential of one molecule belonging to this second layer, computed with the same technique as above, falls in the range −102/−112 kJ mol−1, depending on the position, very close to the thiol potential in the SAMs with 100 to 145 molecules. Then the dynamical instability of denser SAMs, observed in the MD runs, can derive from the competition of the second layer, favoring the shift from the crowded SAM to the spacious layer floating above it.
On the other hand, in the case of thiyl layers we see that the densest SAM, with number density 4.84 nm−2, is not thermodynamically favored, though stable during the MD. Evidently, in this case the MD could not lead to a complete equilibration, since no radicals left the surface despite the thermodynamic advantage that could have been gained, because of the very high energy needed to break the strong S–Au bond, which “trapped” the SAM in a less favorable conformation. The chemical potential of the SAM at density 4.24 nm−2 is still largely negative, while the SAM at 4.45 nm−2 is slightly unfavored, considering the uncertainty associated to the average potential. So the chemical potential calculation refines the MD analysis, lowering the highest density predicted for a thiyl SAM to around 4.4 nm−2.
For the quantification of MMC, the GIXRF measurements were perfomed by selecting sulfur as target element. The experiment was carried out on a gold-coated substrate incubated in the MMC solution to determine the sulfur mass per unit area ascribable to the SAM. On each probed sample, the fluorescence photon count rate of the sulfur K fluorescence line, obtained through spectral deconvolution (Fig. 3b), was converted to its mass per unit area using eqn (1) and tabulated values of the sulfur K-shell fluorescence yield ωS,K = 0.08038 with a relative uncertainty of 7.5% estimated in ref. 63 and of the partial photoionization cross section τS,K(E0 = 2.6 keV) = 1737 cm2 g−1 with a relative uncertainty of 5%.64 The ratio k between the effective surface area of the gold surface area, characterized by AFM on a non-functionalized surface (more details in the ESI†), and the theoretical projected area was found to be k = (1.0076 ± 0.0014), so that the correcting factor 1/k = (0.9925 ± 0.0014).
The mass of sulfur per unit area was found to be σSMMC = (24.3 ± 4.0) ng cm−2, the overall uncertainty of 11% derived mainly from the fundamental parameter uncertainties, already reported, and additional 4% relative uncertainty on the determination of solid angle of detection, 1.5% relative uncertainty on the incident photon flux and 2% on the XSW field intensity above the sample surface. From σSMMC, the numerical density of sulfur atom is easily derived through the element atomic weight and the Avogadro number. Since there is only one sulfur atom per each MMC (molecule or radical), its numerical density corresponds to the number of self-assembled MMC per unit area which is (4.5 ± 0.7) nm−2. The total uncertainty associated to every reported value is due to the propagation of uncertainties for independent variables including statistical uncertainty on repeated measurements and the uncertainty contributions in eqn (1).
Thus we have checked the MMC powder, which provides the reference value for unbound thiol, and the MMC SAM on Au thin film sample. MMC powder survey spectrum (not reported) has shown the presence of C(1s), O(1s) and S(2p) peaks, as expected, while the MMC on Au sample has shown in addition the presence of Au(4f) doublet. In Fig. 4, high resolution S(2p) core level spectra have been reported for the two analyzed samples, along with the corresponding deconvolution curves.
![]() | ||
Fig. 4 XPS S(2p) core level spectra for MMC precursor powder (bottom) and MMC SAM on Au (top). Deconvolution curves have been reported in both graphs. |
For the MMC powder (Fig. 4, bottom) we identify two components, each one made by a doublet due to S(2p3/2) and S(2p1/2) spin–orbit splitting, at 163.1 eV (53.9%) and at 163.7 eV (46.1%). For the MMC SAM on Au (Fig. 4, top) the doublets rise to 4: at 161.0 eV (8.6%), at 162.0 eV (58.9%), at 163.1 eV (19.9%) and at 163.7 eV (12.6%).
In agreement with Jia et al. assignments,69 the components detected in the MMC powder are attributed to free –SH or mutually interacting thiols (referred to as “second layer” in the figure caption). Passing to MMC SAM, two new, intense peaks arise at lower CLBE: most authors attribute the signals in this region to thiyls chemisorbed on the Au surface (often referred to in the literature as “thiolate”, as noted above), though the possibility of physisorbed thiols is not definitely excluded. Interestingly, the peaks due to free –SH above 163 eV are still present in the SAM photoemission spectra, even if weaker than the lower energy components, suggesting the presence of undissociated thiols also, either inside the SAM or in the second layer mentioned above.
The calculation of SAM chemical potentials with MD thermodynamic integration leads to a refinement of the previous conclusion: with this approach, the maximum density of thiol SAMs is confirmed at 3.7 nm−2 while for thiyl SAMs it results not higher than 4.4 nm−2.
The SAM density obtained from the GIXRF experiments is (4.5 ± 0.7) molecules per nm2. This value is comparable within the error bars with the theoretical prediction of the SAM density for thiyls, while the thiol theoretical density lies just below the interval given by the experimental uncertainty.
The XPS measurements performed on the same SAM allowed to probe the chemical bond at the SAM interface, and to postulate the sulfur oxidation state. Two signals have been assigned to adsorbed radicals: the more intense one (58.9%) to thiyl group and the second one (8.6%) to metastable thiyl in alternative adsorption sites. Two weaker components have been ascribed to free or physisorbed thiol species, either at the Au surface or in a second layer above the MMC SAM.
In conclusion, both the comparison of theoretical and experimental densities and the XPS analysis indicate a marked prevalence of thiyl radicals in the SAM, though the presence of a minor component of undissociated thiols is also compatible with XPS results.
Footnote |
† Electronic supplementary information (ESI) available: Details on the FF parameterization, BAR method, surface area measurement, GIXRF measurements and XPS signal analysis, picture of high densiy thiyl SAM. See DOI: https://doi.org/10.1039/d2cp03103e |
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