Literature DB >> 30018698

van der Waals Interaction Activated Strong Electronic Coupling at the Interface between Chloro Boron-Subphthalocyanine and Cu(111).

Shashank S Harivyasi1, Oliver T Hofmann1, Nahid Ilyas2, Oliver L A Monti2,3, Egbert Zojer1.   

Abstract

In this article, we investigate the interface between shuttlecock-shaped chloro boron-subphthalocyanine molecules and the Cu(111) surface. We highlight how molecular planarization induced by van der Waals forces can fundamentally alter the interface properties and how it can enable a particularly strong hybridization between molecular and metal states. In our simulations, we start from a situation in which we disregard van der Waals forces and then introduce them gradually by rescaling the interaction parameter, thereby "pulling" the molecule toward the surface. This reveals two adsorption regimes with significantly different adsorption distances, molecular conformations, and adsorbate-induced changes of the work function. Notably, the above-mentioned massive hybridization of electronic states, also observed in photoelectron spectroscopy, is obtained solely for one of the regimes. We show that this regime is accessible only as a consequence of the planarization of the molecular backbone resulting from the van der Waals attraction between the molecule and the surface. The results of this study indicate that for certain metal-molecule combinations unusually strong interfacial electronic interactions can be triggered by van der Waals forces creating a situation that differs from the usually described cases of physisorptive and chemisorptive interactions.

Entities:  

Year:  2018        PMID: 30018698      PMCID: PMC6038096          DOI: 10.1021/acs.jpcc.8b03675

Source DB:  PubMed          Journal:  J Phys Chem C Nanomater Interfaces        ISSN: 1932-7447            Impact factor:   4.126


Introduction

In organic (opto)electronic devices, molecules are often in direct contact with metal electrodes. This makes a comprehensive understanding of metal–organic interfaces a prerequisite for improving device performance. A key factor that dominates the properties of such interfaces is the strength of the interaction between the metal and the molecules. Together with the electronic structure of these interfaces, the interactions have been explained by invoking a number of phenomena, such as exchange interaction, dipole interaction, charge transfer, and covalent bonding.[1−10] The present study focuses on understanding peculiarities of the interfacial interactions and the electronic structure that may arise from adsorption-induced geometry changes in certain nonplanar molecules. In particular, we present a detailed computational study of the adsorption of chloro boron-subphthalocyanine (ClB-SubPc) on Cu(111) and corroborate it with an assessment of the interfacial electronic structure via photoelectron spectroscopy. The system serves as a prototypical example for the hitherto rarely discussed[11] scenario in which the electronic structure of an interface is fundamentally altered by changes of molecular conformation that are, in turn, enabled by the van der Waals (vdW) forces between the molecule and the substrate. Beyond the fundamental character of the present study, it is also motivated by the increasing technological relevance of subphthalocyanines (SubPcs), which calls for an improved understanding of their properties. SubPcs are optically active dyes that exhibit fluorescence and a high second-order linear response.[12,13] They have been used in organic photovoltaic cells,[14] in light-harvesting systems,[15] and for blending-driven band gap engineering.[16] Consequently, film formation of the archetypical subphthalocyanine, ClB-SubPc, on different metal surfaces has been the focus of numerous studies,[17−22] all revealing feature-rich thin films. The latter is, at least in part, a consequence of the molecule’s peculiar geometry: A ClB-SubPc molecule has a threefold rotational symmetry, combined with a conical “shuttlecock-shaped” nonplanar geometry (Figure ).
Figure 1

Chemical structure of chloro boron-subphthalocyanine (ClB-SubPc). Upon adsorption, the 18 carbon atoms of the three benzene subunits of the molecule (shaded gray here) are found closest to the Cu substrate. They are collectively referred to as C-18 in this article.

Chemical structure of chloro boron-subphthalocyanine (ClB-SubPc). Upon adsorption, the 18 carbon atoms of the three benzene subunits of the molecule (shaded gray here) are found closest to the Cu substrate. They are collectively referred to as C-18 in this article. Consequently, depending on the molecular orientation with respect to the substrate upon adsorption, multiple plausible adsorption situations can be envisaged.[22] This results, for example, in charge transfer from the surface to the chlorine atom on Ag(111),[18] in the formation of bilayer nanocrystals on Cu(111),[20] or in surface-catalyzed dechlorination of (a fraction of) the molecules on Cu(111).[22] In the last case, one observes the formation of chemically different ClB-SubPc domains consisting of either dechlorinated or intact molecules.[22] Here, we focus on molecules that remain intact while adsorbing on Cu(111), while the most relevant data for dechlorinated molecules are compiled in the Supporting Information (SI). The case of intact molecules is particularly insightful for understanding the peculiarities that can arise from the interaction between a nonplanar π-electron system and a coinage metal substrate: By tuning the magnitude of van der Waals forces when simulating the ClB-SubPc/Cu(111) interface, we are able to show how the van der Waals-induced planarization of (significant parts of) the molecular backbone upon adsorption gives rise to two distinct adsorption regimes. Moreover, the planarization enables a particularly strong electronic coupling between substrate and adsorbate. This, in turn, fundamentally changes interface properties like the adsorbate-induced work function modification, the local density of states, and the interfacial charge rearrangement.

Methodology

Computational

For our simulations, we relied on density functional theory (DFT) as implemented in the Fritz Haber Institute ab initio molecular simulations (FHI-aims) package,[23] employing the default “tight” settings. We used the Perdew–Burke–Ernzerhof (PBE) functional[24] complemented by a surface-screening-corrected van der Waals energy term,[25] a scheme commonly designated as PBE + vdWsurf. Employing the repeated-slab approach,[26] we studied the adsorption process at a moderate packing density[22] with just one molecule in every 7 × 4√3 orthogonal surface unit cell. This represents the smallest orthogonal cell in which the energy contribution from intermolecular interactions has decayed to less than 0.1 eV. For simulating the isolated molecule in the gas phase, we also used the FHI-aims package and employed open boundary conditions with equivalent computational settings (the resulting coordinates are provided in the SI). The Cu(111) surface was represented by a slab with a thickness of six atomic layers, of which only the top two were allowed to relax in the geometry optimizations. In the direction perpendicular to the surface, a vacuum gap of at least 25 Å was introduced together with a self-consistently determined discontinuity in the electrostatic energy to decouple periodic replicas of the slab.[27] The convergence criterion for the self-consistent field cycles was set to 10–6 eV for the total energy, and the geometry was relaxed until the maximum residual force component per atom was less than 0.01 eV/Å. The states were broadened using a Gaussian function, and also a Gaussian occupation scheme[28] was employed. For both, σ was set to 0.2 eV. A 4 × 4 × 1 Γ-centered k-point grid was used for all periodic calculations, and van der Waals corrections were not included for CuCu atom pairs in calculations containing the Cu slab. The lattice constant for Cu, obtained with the above settings is 3.637 Å.

Experimental Section

ClB-SubPc was purchased from Sigma-Aldrich and was purified by repeated gradient sublimation in a custom-built furnace. It was degassed overnight in a home-built Knudsen cell under ultrahigh vacuum conditions and at temperatures slightly below the sublimation point. A polished Cu(111) crystal of 99.999% purity (Princeton Scientific) was cleaned by repeated cycles of Ar+ sputtering and annealing, whereas highly oriented pyrolytic graphite (HOPG) was freshly cleaved and annealed at 450 °C in vacuum. Molecular deposition occurred at room temperature on both substrates, at a rate of 0.1 Å/min. Photoelectron spectroscopy was carried out using a He(I) UV source (SPECS UVS 10/35) incident at a 30° angle in a VG EscaLab MK II photoelectron spectrometer. Spectra were acquired with an energy resolution of 89(8) meV.

Results and Discussion

Planarization and Hybridization of ClB-SubPc upon Adsorption on Cu(111)

The shuttlecock-shaped geometry of the ClB-SubPc molecule (Figure a) is lost once it adsorbs on Cu(111). The molecule then resembles a planarized disk with only a trigonal pyramidal feature (composed of chlorine, boron, and three pyrrolic nitrogen atoms) preserved in its center (Figure b). The 18 carbon atoms closest to the substrate (collectively termed as C-18; see shaded rings in Figure ) end up lying approximately in the same plane, with the standard deviation in their z-coordinates as low as 0.03 Å. As a more accessible quantification, in the following we define the planarity, Π, of any given ClB-SubPc conformation via the standard deviation in the heights of the C-18 atoms asThis definition implies that the molecule in its gas-phase geometry has a planarity, Π, of 0%, whereas Π is 100% when all C-18 atoms are in the same plane. For the relaxed ClB-SubPc/Cu(111) interface, a planarity of 94% is obtained for the adsorbed molecule. Concomitantly, the molecule’s “shuttlecock angle”, the obtuse angle between the central symmetry axis and any of the six peripheral carbon atoms in the benzene subunits, decreases by 13° (from 116 to 103°, Figure a,b).
Figure 2

Structure of the ClB-SubPc molecule (a) before and (b) after adsorption on Cu(111). (c) Molecule-projected density of states (PDoS) of the ClB-SubPc molecule adsorbed on the Cu(111) substrate (black curve) and in the gas phase (red curve). The DoS of the gas-phase molecule has been Gaussian broadened and shifted such that the vacuum level of the molecule is the same as that of a clean Cu slab. The Fermi level of that slab is then used as the energy reference for the isolated molecule in the above plot. Panel (b) also indicates the unit cell and the coordinate system used in all calculations employing periodic boundary conditions. The coloring scheme is as follows: chlorine, red; boron, green; nitrogen, blue; carbon, gray; hydrogen, yellow; and copper, brown.

Structure of the ClB-SubPc molecule (a) before and (b) after adsorption on Cu(111). (c) Molecule-projected density of states (PDoS) of the ClB-SubPc molecule adsorbed on the Cu(111) substrate (black curve) and in the gas phase (red curve). The DoS of the gas-phase molecule has been Gaussian broadened and shifted such that the vacuum level of the molecule is the same as that of a clean Cu slab. The Fermi level of that slab is then used as the energy reference for the isolated molecule in the above plot. Panel (b) also indicates the unit cell and the coordinate system used in all calculations employing periodic boundary conditions. The coloring scheme is as follows: chlorine, red; boron, green; nitrogen, blue; carbon, gray; hydrogen, yellow; and copper, brown. Putting the planarization of the ClB-SubPc π-system into the context of similar molecules is difficult. With three instead of four isoindole units and meso N atoms, boron-subphthalocyanines are, so far, the only known lower homologues of phthalocyanine (Pc) molecules. Although the adsorption of numerous nonplanar Pcs has been studied extensively,[29−40] most have comparably smaller shuttlecock angles and thus do not lend themselves to direct comparison. For instance, the nearest comparable study of SnPc on Ag(111) also employing dispersion-corrected DFT reports that adsorption results in a change of 5° (from 105 to 100°) in the molecule’s shuttlecock angle when it adsorbs in a similar orientation.[36] On the other extreme, there are spherical- and bowl-shaped molecules like C60 and corannulene (C20H10) that appear not to flatten on Cu(111), and for which the overall geometry remains largely unchanged upon adsorption.[41,42] Besides planarization, the other significant consequence of adsorption of ClB-SubPc molecules on Cu(111) is the change in their electronic structure (Figure c). Notably, adsorption leads to a substantial “smearing” of the molecule-projected DoS (PDoS) around the Fermi level of the metal–molecule system. This occurs to the extent that different molecular states are difficult to identify both in the PDoS and in the measured ultraviolet photoelectron (UP) spectrum (see below). The particularly strong smearing of the PDoS is caused by the hybridization of occupied as well as unoccupied molecular states with the d-band and the sp-band of copper. Similar observations have been made on Cu substrates for other conjugated molecules, which are flat in the gas phase. The relevant interfaces include, for example, pentacene on Cu(111),[7,43] Cu(100),[44] and Cu(110),[45,46] as well as perylenetetracarboxylic dianhydride (PTCDA) on Cu(111).[9,47] Additionally, the ClB-SubPc monolayer is rendered metallic because the Fermi level lies in a region of significant PDoS. Metallization of the interface due to strong hybridization is a commonly observed feature for planar molecules adsorbed on metal surfaces.[7,9,43−50] In fact, a previous investigation of ClB-SubPc on Cu(111) using two-photon photoemission spectroscopy also suggested hybridization and charge transfer to the molecular orbitals from metal surface states.[21] The strong broadening of the PDoS found in the computational results is also present in the experimental data. In Figure , we show a comparison of the UP spectra of 0.7 monolayer equivalents (as defined in ref (22)) of ClB-SubPc on both Cu(111) and HOPG. On HOPG, a distinct feature representing the ClB-SubPc highest occupied molecular orbital (HOMO) centered at a binding energy (EB) of −1.7 eV is clearly resolved on top of the rather weak background originating from the HOPG π-band. This is consistent with a UP spectroscopy report on a 7.5 nm thick ClB-SubPc film on Si.[51] Further, peaks are observed at higher binding energies. In contrast, on Cu(111) only weak and broad features are visible between 0 and −2 eV. These stem primarily from the Cu d-band He(I)β satellite features at −0.8 eV. Additional contributions from the remainder of the Cu(111) Shockley surface state (−0.2 to −0.4 eV) and from a partially filled lowest unoccupied molecular orbital near the Fermi edge are expected at the positions indicated in Figure following the two-photon photoemission data in ref (21). Below −2 eV, the Cu d-bands manifest as the strongest features in the ClB-SubPc/Cu(111) UP spectrum. Their broad structure is indicative of scattering in the organic adlayer and interfacial hybridization. There is no clear evidence of the HOMO or other molecular features in the UP spectrum, though a contribution from the HOMO to the shoulder at EB = −2.2 eV or the d-band region cannot be excluded (we do not necessarily expect the HOMO feature on Cu(111) to be at the same energy as on HOPG). In summary, the distinctly different contributions of ClB-SubPc to the UP spectra when adsorbed on HOPG and Cu(111) support the notion of a strong smearing of the molecular states at the ClB-SubPc/Cu(111) interface that has been inferred from the simulations.
Figure 3

Ultraviolet photoelectron spectra of a ClB-SubPc monolayer on Cu(111) (top panel, black, strong hybridization) and HOPG (bottom panel, blue, weak hybridization). The binding energy is referenced to the Fermi level.

Ultraviolet photoelectron spectra of a ClB-SubPc monolayer on Cu(111) (top panel, black, strong hybridization) and HOPG (bottom panel, blue, weak hybridization). The binding energy is referenced to the Fermi level. The above observations raise the question to what extent the particularly strong coupling between substrate and adsorbate and the interaction-induced planarization of most of the molecular backbone are interrelated. To address this issue, as a first step we calculated the adsorption energy Eads as a function of the adsorption height hads. We define Eads aswhere Einter is the energy of the interacting metal–molecule system, ECu is the energy of a pristine Cu(111) slab (again, with only the top two layers relaxed), and Emol is the energy of a single relaxed ClB-SubPc molecule in the gas phase. In addition, the methodology applied to treat van der Waals interactions allows us to compute separately the contribution of these energies to Eads, which we term as EvdW (see SI for details). The adsorption height, hads, is defined as the difference between the average heights of the C-18 atoms and that of the metal atoms in the topmost layer of the reconstructed substrate. At equilibrium, this height is 2.23 Å, which appears low at first glance, but it is comparable to adsorption distances measured for planar π-conjugated systems in similar situations, such as the 2.34 Å found for pentacene on Cu(111).[52] In practice, to trace Eads vs hads, we gradually moved the molecule from its equilibrium position along the z-axis in steps of 0.2 Å, fixed the position of the Cl atom, and then optimized the geometry of the rest of the molecule as well as the top two atomic layers of the Cu substrate. The resulting curve, shown in Figure a, displays a few peculiarities: (i) The PBE contribution to the adsorption energy (green curve) is positive for all distances. This hints at a distinctly repulsive interaction between the ClB-SubPc molecules and the Cu(111) surface in the absence of long-range van der Waals interactions. In fact, we observe a detachment of the molecule from the surface, when van der Waals (vdW) interactions are turned off and the system geometry is optimized. (ii) The dependence of the adsorption energy on adsorption distance (when including vdW attraction) displays an unusual, essentially linear shape between the equilibrium distance of 2.23 Å and the largest considered distance of 3.35 Å (r2 = 0.996 for a linear fit plotted in orange). There is also no indication of multiple minima, as are observed for systems displaying physisorbed as well as chemisorbed structures.[6,53]
Figure 4

(a) Adsorption energy (Eads) per ClB-SubPc molecule as a function of adsorption distance including (black curve) and neglecting (green curve) long-range van der Waals interactions (EvdW). The orange line in the background is a linear fit to the Eads (PBE + vdWsurf) curve, highlighting the unusual shape of the adsorption potential. (b) Change in the planarity (Π) of the molecule as a function of its adsorption height (red triangles). The pink dashed curve indicates the “expected” trend extrapolated from quadratic fitting of the data points with hads > 2.7 Å. The blue curve and the right axis refer to the energetic cost of planarizing the molecule (Πenergy), i.e., of changing the molecular geometry from that obtained for the gas phase to that found at a specific adsorption distance.

(a) Adsorption energy (Eads) per ClB-SubPc molecule as a function of adsorption distance including (black curve) and neglecting (green curve) long-range van der Waals interactions (EvdW). The orange line in the background is a linear fit to the Eads (PBE + vdWsurf) curve, highlighting the unusual shape of the adsorption potential. (b) Change in the planarity (Π) of the molecule as a function of its adsorption height (red triangles). The pink dashed curve indicates the “expected” trend extrapolated from quadratic fitting of the data points with hads > 2.7 Å. The blue curve and the right axis refer to the energetic cost of planarizing the molecule (Πenergy), i.e., of changing the molecular geometry from that obtained for the gas phase to that found at a specific adsorption distance. Further insight can be gained by tracing the planarity of the adsorbed molecules as a function of hads, as shown in Figure b (red curve): First, Π increases smoothly, as the molecule approaches the surface. However, at ca. 0.2 Å above the equilibrium distance, an increased planarization sets in, as is particularly evident when comparing the actual behavior at short distances with an extrapolation from larger adsorption heights (i.e., for hads ∈ [2.79, 3.35 Å], pink dashed curve). This means that the molecule undergoes a disproportionately large planarization within a very small range of distances (∼0.2 Å) above the equilibrium height. This happens in spite of the significantly increased energetic cost to do so, as is evidenced by the calculated planarization energy in Figure b (blue curve).

Uncovering the Interplay between Adsorption and Planarization

Given the unusual behavior of the ClB-SubPc/Cu(111) interface (massive molecular distortion, strong hybridization, and unusual shape of the adsorption potential), we focus next on the role of the vdW forces. Here, we started from the repulsive situation, i.e., using solely the PBE functional (in the absence of long-range vdW interactions). Then, we introduced and gradually increased the long-range van der Waals attraction, in this way pulling the molecule toward the surface. This scaling of the van der Waals forces allowed us to follow the gradual transition from an essentially noninteracting metal–molecule system to a situation characterized by a significant distortion of the adsorbate geometry and a strong hybridization between the molecular and metal states. Technically, the rescaling is achieved by calculating the energy contribution due to long-range van der Waals interactions, analogous to the original Tkatchenko–Scheffler scheme,[54] while introducing a scaling prefactor S that varies between 0 and 1. S scales the C6,AB coefficients that govern the pairwise interatomic interactions between two atoms A and B. This yieldsHere, RAB is the interatomic distance and fAB is a Fermi-type damping function that subdues the correction at short range. Notably, the Tkatchenko–Scheffler (TS) approach, like Grimme’s D3 scheme,[55] the Becke–Johnson scheme,[56] and the scheme from Sato and Nakai,[57] aims to include the influence of the atom-pair’s local chemical environment into the C6 coefficients. In TS, this is achieved by making the C6 coefficient dependent on the charge density around the atoms to account for the dependence of vdW interactions on the system’s local polarizability.[58] This makes the TS approach particularly useful in the present case, as in the course of changing S the charge distribution at the interface undergoes pronounced changes (vide infra). The resulting van der Waals contribution to the adsorption energy EvdW as a function of S is shown in Figure a (black curve). Notably, the curve does not increase smoothly with S, in contrast to the evolution of the van der Waals energy for an isolated molecule (green curve). Rather, there are more pronounced drops between 0.2 ≤ S ≤ 0.4 and between 0.6 ≤ S ≤ 0.8. These more abrupt changes in energy are accompanied by stepwise increases in the planarity of the ClB-SubPc molecules (Figure b) and by stepwise decreases in the adsorption heights (Figure c). Consequently, when scaling the vdW interactions and in this way pulling the molecule toward the surface, one observes two clearly distinct adsorption regimes: Between S = 0.4 and 0.6, the molecule adsorbs in a somewhat planarized geometry (Π ≈ 49%) at a comparably large distance of around 3.0 Å. Conversely, for S ≥ 0.8, the C-18 atoms of ClB-SubPc become essentially planar (Π ≈ 94%) and the adsorption height reduces to 2.2 Å. The transition between these regimes coincides with massive modifications of the electronic structure of the interface, as discussed in the following section.
Figure 5

Evolution of the properties of the ClB-SubPc/Cu(111) interface with increasing the C6 scaling prefactor S. (a) Nonlinear increase in EvdW (the contribution of the long-range van der Waals interaction to the adsorption energy) as a function of the van der Waals scaling prefactor S (black curve) and linear increase in EvdW vs S for an isolated molecule in vacuum (green curve). (b) Molecular distortion quantified by the planarity of the adsorbed molecule (Π), as defined above. (c) Calculated adsorption height, hads. There are two distinct regimes with essentially constant planarity and adsorption height (S = 0.4 to 0.6 and 0.8 to 1.0), shaded in yellow and orange, respectively.

Evolution of the properties of the ClB-SubPc/Cu(111) interface with increasing the C6 scaling prefactor S. (a) Nonlinear increase in EvdW (the contribution of the long-range van der Waals interaction to the adsorption energy) as a function of the van der Waals scaling prefactor S (black curve) and linear increase in EvdW vs S for an isolated molecule in vacuum (green curve). (b) Molecular distortion quantified by the planarity of the adsorbed molecule (Π), as defined above. (c) Calculated adsorption height, hads. There are two distinct regimes with essentially constant planarity and adsorption height (S = 0.4 to 0.6 and 0.8 to 1.0), shaded in yellow and orange, respectively.

Interfacial Electronic Structure

A first impression of modifications to the electronic structure of the ClB-SubPc/Cu(111) interface caused by increasing the van der Waals attraction can be obtained from the adsorption-induced changes in the work function, ΔΦ. For the sake of analysis, this quantity can be separated into a contribution from the monolayer due to molecular dipoles, ΔΦML, and a contribution from the so-called “bond-dipole” resulting from the interaction between substrate and adsorbate, dominated by the adsorption-induced charge rearrangements, ΔΦBD.[59] This yieldsIn practice, ΔΦ and ΔΦML are calculated explicitly, and ΔΦBD is obtained as the difference between these two numbers. Note that the above quantities for the subsystems are calculated in the optimized geometries they adopt upon adsorption. The change in work function for a given system is obtained as the energetic difference between the vacuum levels above and below the calculated slab (for more details see ref (59)). As shown in Figure , for small S, ΔΦ is positive. This is a consequence of the significant molecular dipole moment pointing toward the surface, which results in a large positive value of ΔΦML. As the adsorption distance for small S is large, the change in work function due to the interaction-induced charge rearrangements, ΔΦBD, has only a minor impact. This changes in the first adsorption regime (for 0.4 ≤ S ≤ 0.6), where the absolute value of ΔΦBD rises by 0.5 eV. Simultaneously, the increasing planarity of the adsorbed molecules results in a decreasing molecular dipole and, thus, a smaller ΔΦML. (The values for the molecular dipoles of the different geometries obtained when varying S can be found in the SI.) As both trends act in the same direction, the overall effect is a change in the sign of the work function modification and a resulting ΔΦ of −0.2 eV. This value remains constant over the first adsorption regime.
Figure 6

Evolution of the change in work function, ΔΦ (black), the contributions due to the molecular layer, ΔΦML (red), and the interfacial charge rearrangements, ΔΦBD (blue), with increasing C6 scaling prefactor S. The work function of the pristine Cu(111) surface is calculated to be 4.8 eV.

Evolution of the change in work function, ΔΦ (black), the contributions due to the molecular layer, ΔΦML (red), and the interfacial charge rearrangements, ΔΦBD (blue), with increasing C6 scaling prefactor S. The work function of the pristine Cu(111) surface is calculated to be 4.8 eV. Upon approaching the second adsorption regime, another step in the work function modification is observed and ΔΦ drops to ∼−0.5 eV (for 0.8 ≤ S ≤ 1.0). This is primarily a consequence of the additional planarization of the adsorbate molecules resulting in a further reduced molecular dipole (see SI), such that ΔΦML becomes ∼0.06 eV. Notably, the contribution to the work function modification arising from the molecule–metal interaction changes much less, and ΔΦBD saturates at −0.55 eV. This is quite surprising, considering the massive change in the adsorption distance and the fundamentally different shapes of the interfacial charge rearrangements between the first and second adsorption regimes (vide infra). A direct comparison of the calculated ΔΦ to experiments is difficult, as the experimentally accessible interface contains multiple species,[22] including dechlorinated molecules (for which we calculate a ΔΦ of −0.8 eV). Nevertheless, it is interesting to point out that the experimentally determined work function modification at a nominal coverage of 0.5 monolayer equivalents (corresponding to the coverage in the simulations) amounts to −0.5 eV.[21] The evolution of ΔΦBD can be understood on the basis of the changes in the energetic alignment between the electronic states in the metal, characterized by the position of the Fermi level, and the states in the adsorbate layer. This is shown in Figure .
Figure 7

Density of states projected onto the molecular region (PDoS) for the ClB-SubPc/Cu(111) interface as a function of the van der Waals scaling prefactor S. The DoS of the gas-phase molecule has been Gaussian broadened and shifted such that the vacuum level of the molecule is the same as that of a clean Cu slab. The Fermi level of that slab is then used as the energy reference for the isolated molecule in the above plot. This corresponds to assuming vacuum-level alignment and describes the situation for an isolated molecule far away from the Cu surface, i.e., in the absence of electronic interactions between substrate and adsorbate. The shading denotes the different adsorption regimes (cf., Figures and 6).

Density of states projected onto the molecular region (PDoS) for the ClB-SubPc/Cu(111) interface as a function of the van der Waals scaling prefactor S. The DoS of the gas-phase molecule has been Gaussian broadened and shifted such that the vacuum level of the molecule is the same as that of a clean Cu slab. The Fermi level of that slab is then used as the energy reference for the isolated molecule in the above plot. This corresponds to assuming vacuum-level alignment and describes the situation for an isolated molecule far away from the Cu surface, i.e., in the absence of electronic interactions between substrate and adsorbate. The shading denotes the different adsorption regimes (cf., Figures and 6). The trend for ΔΦBD from Figure is expected to map directly onto the evolution of the level alignment, as demonstrated for a variety of organic molecules on Ag(111).[60] Indeed, up to S = 0.4, one sees a pronounced shift in the states of the ClB-SubPc monolayer toward higher binding energies (by ca. 0.7 eV). This can be explained by Pauli pushback[61] reducing the surface dipole of the metal[1] and, thus, its work function. Consistent with a constant adsorption height and adsorbate shape, there is no further change in the PDoS up to S = 0.6. Notably, there is virtually no difference in the shape of the PDoS compared to the effectively noninteracting situation (S = 0). Upon further increasing S (i.e., upon pulling the molecule further toward the surface), one again observes a shift of the PDoS toward higher binding energies by 0.4 eV. However, like in the above-discussed evolution for ΔΦBD, the net effect is weaker than what is expected based on the strongly decreasing adsorption distance and the resulting massively amplified Pauli pushback. The reason for that is that here one enters the regime of Fermi-level pinning: The formerly unoccupied PDoS of the adsorbate layer is shifted into resonance with the Fermi level, resulting in electron transfer from the metal to the molecules such that the resulting dipole counteracts the effect of Pauli pushback and the overall interfacial dipole remains largely constant.[62] On the basis of these observations, one can denote the first adsorption regime (0.4 ≤ S ≤ 0.6) as the “weak-coupling regime” with only negligible charge transfer between molecular states and the metal, as is usually observed for physisorption. Here, it should be stressed that this regime is not merely a curiosity resulting from the scaling of the van der Waals attraction. In fact, it is representative of the situation of ClB-SubPc adsorbing on less reactive metals, as is shown in the SI for the ClB-SubPc/Ag(111) interface, or on other even more inert substrates like HOPG (see Figure ). The second regime (0.8 ≤ S ≤ 1.0) is then denoted as the “strong-coupling regime”, as there we see the partial filling of the molecular PDoS suggesting that electrons have been transferred from the Cu substrate into previously unoccupied orbitals of the molecular layer. Moreover, a massive broadening of all molecule-derived features in the PDOS occurs. As mentioned earlier, the latter is indicative of a particularly strong hybridization between molecular and metal states. However, we refrain from associating it with chemisorption, as in spite of the significant interaction between the ClB-SubPc molecules and the Cu(111) substrate, Figure a suggests that there would be no bonding in the absence of van der Waals attraction. That is, we face a situation of strong electronic coupling between substrate and adsorbate that by itself would, however, not be sufficient to trigger adsorption. To further distinguish between the two adsorption regimes and to trace the strong hybridization between substrate and adsorbate states, it is useful to consider the adsorption-induced interfacial charge rearrangements, Δρ. These are obtained viawhere ρinter is the charge density of the interacting metal–molecule system, ρslab is the charge density of only the metal slab, and ρmol is the charge density of a molecule in the isolated monolayer (again, all in the geometry obtained for the interacting system). Δρ can be further averaged/integrated along one or two spatial directions to obtain two-dimensional (2D) or one-dimensional (1D) charge rearrangement plots, respectively. The situation for the weak-coupling regime (S = 0.4) is shown in Figure a. The charge rearrangements indicate the dominance of Pauli pushback with a pronounced electron-density depletion in the region of the overlap between the tailing electron cloud of the metal and the π-states of the molecules. The effect is stronger below the plane of the molecule, as there the tailing states from the metal are more prevalent than above. The “pushed-back” electrons are accumulated directly above the metal surface (see also plot of plane-integrated 1D charge rearrangements contained in the SI).
Figure 8

Side view of the interfacial charge rearrangements for (a) S = 0.4 and (b) S = 1.0 averaged over the unit cell along the direction perpendicular to the plane of projection.

Side view of the interfacial charge rearrangements for (a) S = 0.4 and (b) S = 1.0 averaged over the unit cell along the direction perpendicular to the plane of projection. The situation changes qualitatively in the strong-coupling regime, shown for S = 1.0 in Figure b. There, in addition to the electron-density depletion immediately below the molecular backbone, one observes accumulation directly above the molecule and, even more pronounced, in the region about halfway between the C-18 atoms and the topmost layer of the Cu(111) substrate. Especially, the latter deserves attention: As shown in Figure a, electron accumulation occurs in those regions where the C-18 atoms and the Cu atoms of the topmost metal layer are particularly close, whereas there is depletion above the bridge and hollow sites of the substrate. The assessment that the driving force for electron accumulation in specific regions is the local proximity between the molecular π-system and on-top metal sites is confirmed by the very different shape of the charge rearrangement pattern for ClB-SubPc on the fourfold symmetric Cu(100) surface shown in Figure b.
Figure 9

Top view of the charge rearrangements induced by ClB-SubPc on (a) Cu(111) and (b) Cu(100). The graphs show a 2D slice of the charge rearrangements calculated for the plane halfway between the molecule and the metal.

Top view of the charge rearrangements induced by ClB-SubPc on (a) Cu(111) and (b) Cu(100). The graphs show a 2D slice of the charge rearrangements calculated for the plane halfway between the molecule and the metal. We also find that the H atoms are located 0.2 Å above the C-18 plane and that the carboncarbon bond lengths within the rings constituting the C-18 system increase on average by ∼3 pm. These are further indications for a minor disruption of the molecular π-system caused by the hybridization of the molecular and metal states.

Role of Molecular Planarity in its Ability to Hybridize

Even though the above results provide evidence that the planarization of the ClB-SubPc molecule is an integral aspect of the adsorption process, the data presented thus far do not fully clarify how crucial planarization actually is for the electronic structure of the interface and especially for the strong hybridization of molecular and metal states. To address this question, we simulated the adsorption of a rigidified ClB-SubPc molecule. For this, we fixed the lateral positions of the carbon atoms in the gas-phase geometry of the molecule, thereby reducing the degrees of freedom during geometry relaxation. In other words, the C atoms could relax solely along the direction perpendicular to the surface, thereby largely preventing a planarization of the molecule. Care was taken to align the rigidified molecule such that its registry with the Cu(111) surface was identical to that of the fully relaxed case. The optimum adsorption height for the rigidified molecule rose to 3.0 Å, 0.77 Å more than the fully relaxed structure (vide supra). Interestingly, this adsorption height is almost identical to that obtained for the fully optimized interface in the weak-coupling regime (calculated in the full optimizations for 0.4 ≤ S ≤ 0.6). Therefore, in Figure a, we compare the PDoS of the fully optimized and rigidified structures (both calculated at S = 1.0) with the situation obtained for the weak-coupling case (S = 0.4, fully optimized).
Figure 10

(a) Comparison of the molecule-projected densities of states for the artificially rigidified molecule (S = 1.0) and the fully relaxed structures in the weak (S = 0.4)- and strong (S = 1.0)-coupling regimes. (b) Side view of the interfacial charge rearrangements for the rigidified molecule averaged over the unit cell along the direction perpendicular to the plane of projection.

(a) Comparison of the molecule-projected densities of states for the artificially rigidified molecule (S = 1.0) and the fully relaxed structures in the weak (S = 0.4)- and strong (S = 1.0)-coupling regimes. (b) Side view of the interfacial charge rearrangements for the rigidified molecule averaged over the unit cell along the direction perpendicular to the plane of projection. Intriguingly, we find an almost perfect correspondence between the latter two cases in the PDoSes as well as in the work function modifications (ΔΦ = −0.14 eV for the rigidified molecule and −0.17 eV for weak-coupling regime). Likewise, the charge rearrangements for the rigidified system show no indication of strong hybridization (Figure b). Rather, one solely observes Pauli pushback, as displayed already in Figure a for the weak-coupling regime. This clearly shows that the ability of the nonplanar ClB-SubPc to strongly couple to the metal substrate crucially depends on its ability to planarize, which occurs only when van der Waals attractions pull the molecule toward the surface.

Summary and Conclusions

The ClB-SubPc/Cu(111) interface provides valuable insight into how changes in an adsorbate geometry induced by the van der Waals attraction to a substrate can change the electronic coupling between substrate and adsorbate, pushing the interface into a significantly different coupling regime. To better understand the peculiarities of this interface, we adopted a strategy that allowed us to scale the van der Waals interactions, to gradually pull the molecule toward the substrate. This revealed two adsorption regimes, which we identified to be cases of weak and strong interfacial coupling. In the former, the originally shuttlecock-shaped molecules are planarized to a lesser degree, and the electronic interaction with the substrate is dominated by Pauli pushback. This, together with the molecular dipoles, determines the adsorbate-induced work function modification. In the second regime, the molecule is pulled very close to the surface, it is largely planarized, and a particularly strong hybridization between molecular and metal states occurs in conjunction with electron transfer from the substrate to adsorbate. In this case, the adsorbate layer becomes metallic, and the work function is determined by Fermi-level pinning. Notably, we show that this regime cannot be characterized as conventional chemisorption, as in spite of the sizable electronic interactions between substrate and adsorbate, the molecule would not attach to the surface in the absence of van der Waals attraction. In fact, the strong-coupling regime can be reached only provided that the molecule significantly changes its shape, which is shown to be a consequence of van der Waals forces pulling it toward the surface. Thus, the present system can be regarded as an intriguing example of a van der Waals-enabled strong electronic coupling between a metal surface and an organic adsorbate molecule.
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