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Eighth Condensed Phase and Interfacial Molecular Science (CPIMS)

Eighth Condensed Phase and Interfacial Molecular Science (CPIMS)

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Figure 1 shows the b<strong>and</strong> structure of Ag(111) <strong>and</strong> 3PP spectra for resonant <strong>and</strong> near-resonant<br />

excitation conditions. For the near-resonant condition, the energy-momentum image of<br />

photoemitted electrons shows dispersive SS <strong>and</strong> IP states indicated by red <strong>and</strong> blue curves. At<br />

the resonant condition, however, the dispersive surface b<strong>and</strong>s collapse into a non-dispersive<br />

feature. Such non-dispersive spectra are expected for photoemission from excitonic states,<br />

because in a correlated e-h pair, the electron can take on any momentum spanned by the<br />

occupied part of the hole b<strong>and</strong>, as long as the exciton momentum is conserved. Similar<br />

experiments on Cu(111) surface do not show the non-dispersive feature, consistent with faster<br />

screening suppressing the e-h correlation.<br />

The spectra in Fig. 1 show that MPP spectra can probe the fundamental many-body response of<br />

metals in response to perturbation by an external field. Because excitonic states are the primary<br />

manifestation of interaction between light <strong>and</strong>-solid state materials, the ability to follow the<br />

formation <strong>and</strong> decay of excitons is fundamental to solar energy conversion processes.<br />

2D superatom states. In the spatial domain, we have investigated the formation of a molecular<br />

quantum-well with single-molecule resolution. Several years ago 2PP spectroscopy provided the<br />

evidence that a monolayer of flat lying C6F6 molecules on Cu(111) surface forms a molecular<br />

quantum well with an effective mass of 2me for its LUMO state of σ* character. How flat lying<br />

π-conjugated molecules can hybridize into a delocalized b<strong>and</strong> has been until now a mystery.<br />

We have performed low temperature STM measurements on C6F6 on Cu <strong>and</strong> Au surfaces from<br />

single molecule to multilayer coverages. By dz/dV spectroscopy we could measure the σ* state<br />

energy as a function of the number of nearest neighbors, <strong>and</strong> found that the energy is stabilized<br />

consistent with an intermolecular hopping integral β=0.026 eV. This behavior could be<br />

reproduced nearly quantitatively by a DFT calculation of the electronic structure of unsupported<br />

C6F6 from a single molecule to a monolayer film. The calculations show that the b<strong>and</strong> formation<br />

is an intrinsic property of C6F6 molecules, which raises the question of the origin of the<br />

intermolecular interactions that enable the dispersive b<strong>and</strong> formation.<br />

We have therefore investigated the electronic properties of the σ* state by low temperature STM<br />

<strong>and</strong> theory. As required for the strong intermolecular interaction, the σ* state has a diffuse wave<br />

function with a long tail extending past the F atom periphery (Fig. 2). This behavior is<br />

reminiscent of the superatom molecular orbitals (SAMOs) of hollow molecules, which we<br />

discovered in C60 <strong>and</strong> related materials. SAMOs of hollow molecules are bound to the hollow<br />

Figure 2. STM image of C6F6 monolayer <strong>and</strong> second monolayer isl<strong>and</strong>s on Cu(111) surface.<br />

The calculated probability density of the σ* state for a single molecule <strong>and</strong> σ* b<strong>and</strong> for a<br />

monolayer quantum well. The density projecting beyond F atoms forms the delocalized state.<br />

The radial wave function cross sections for the π HOMO, σ* LUMO, <strong>and</strong> π* LUMO+1 orbitals.<br />

The SAMO characteristics of σ*, i.e. the nonnuclear density in the molecular center <strong>and</strong> beyond<br />

the F atom periphery, enable strong wave function hybridization into a delocalized b<strong>and</strong>.<br />

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