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Surfaces, Interfaces, and Catalysis; Physical Properties of Nanomaterials and Materials

Real-Space Observation of Quantum Tunneling by Carbon Atom: Flipping Reaction of Formaldehyde on Cu(110) Chenfang Lin, Emile Durant, Mats Persson, Mariana Rossi, and Takashi Kumagai J. Phys. Chem. Lett., Just Accepted Manuscript • DOI: 10.1021/acs.jpclett.8b03806 • Publication Date (Web): 24 Jan 2019 Downloaded from http://pubs.acs.org on January 24, 2019

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The Journal of Physical Chemistry Letters

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The Journal of Physical Chemistry Letters

Real-Space Observation of Quantum Tunneling by Carbon Atom: Flipping Reaction of Formaldehyde on Cu(110)

Chenfang Lin1, Emile Durant2, Mats Persson2, Mariana Rossi3, Takashi Kumagai1, 4*

1

Department of Physical Chemistry, Fritz-Haber Institute of the Max-Planck Society,

Faradayweg 4-6, 14195 Berlin, Germany. 2

Surface Science Research Centre and Department of Chemistry, University of

Liverpool, Liverpool L69 3BX, UK. 3

Theory Department, Fritz-Haber Institute of the Max-Planck Society, Faradayweg 4-6,

14195 Berlin, Germany. 4

JST-PRESTO, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan.

*Corresponding author: [email protected]

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We present a direct observation of carbon-atom tunneling in the flipping reaction of formaldehyde between its two mirror states on a Cu(110) surface using low-temperature scanning tunneling microscopy (STM). The flipping reaction was monitored in real time and the reaction rate was found to be temperature independent below 10 K. This indicates that this reaction is governed by quantum mechanical tunneling, albeit involving a substantial motion of the carbon atom (~1 Å). In addition, deuteration of the formaldehyde molecule resulted in a significant kinetic isotope effect ( 𝑅!!! ! 𝑅!!! ! ≈ 10 ). The adsorption structure, reaction pathway, and tunneling probability were examined by density functional theory calculations, which corroborate the experimental observations.

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Keywords: Carbon tunneling, Single-molecule chemistry, Formaldehyde, Metal surface, Low-temperature scanning tunneling microscopy

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The Journal of Physical Chemistry Letters

Tunneling is a pure quantum-mechanical effect resulting from the wave-like property of a particle, which makes it possible to pass through a classically insurmountable barrier. Hydrogen tunneling was recognized already in the early days of quantum chemistry1 and plays a crucial role in chemical and biological reactions.2, 3, 4, 5 The contribution of tunneling in chemical reactions strongly depends on the particle mass and decreases rapidly with increasing mass of the atom. Therefore, heavy-atom tunneling such as carbon and oxygen had been ignored for a long time. However, experimental evidence of carbon tunneling was reported for the tautomerization of cyclobutadiene in the late 20th century.6, 7, 8 Since then, several different reactions involving carbon tunneling have been found, 9 , 10, 11 , 12 , 13, 14 even at elevated reaction temperatures. 15 , 16 These findings suggest carbon tunneling may be broadly involved in organic reactions. Tunneling in chemical reactions has been conventionally investigated by spectroscopic methods such as nuclear magnetic resonance and vibrational-rotational spectroscopy. In experiments, the mechanism of carbon tunneling is elusive compared to hydrogen. In the latter case, deuteration of molecules can provide solid evidence through the significant kinetic isotope effects (KIEs), which is rather subtle for 12C/13C, as well as through the temperature dependence of a reaction rate. In the last two decades, low-temperature scanning tunneling microscopy (STM) has emerged as a unique tool to investigate reactions occurring via tunneling. Hydrogen tunneling was examined in diffusion of hydrogen atom,17 hydrogen-bond exchange reactions in small water clusters, 18, 19 and in single-molecule tautomerization. 20, 21 Remarkably, heavyatom tunneling was observed for CO,22 Cu,23 Co,24 and cyclooctadiene.25 These studies show the capability of STM not only to visualize tunneling dynamics in real space, but also to perturb it through a modification of the potential energy surface using the STM

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tip.20, 26 So far, the example of heavy-atom tunneling is scarce and a quantitative description remains a challenging task in theoretical simulations. Here we report a new type of reaction involving carbon tunneling, namely flipping of a formaldehyde molecule on a Cu(110) surface. Experiments were carried out under ultrahigh vacuum conditions (