Imaging molecular orbitals with laser-induced electron tunneling spectroscopy

Photoelectron spectroscopy in intense laser fields has proven to be a powerful tool for providing detailed insights into molecular structure. The ionizing molecular orbital, however, has not been reconstructed from the photoelectron spectra, mainly due to the fact that its phase information can be hardly extracted. In this work, we propose a method to retrieve the phase information of the ionizing molecular orbital with laser-induced electron tunneling spectroscopy. By analyzing the interference pattern in the photoelectron spectrum, the weighted coefficients and the relative phases of the constituent atomic orbitals for a molecular orbital can be extracted. With this information we reconstruct the highest occupied molecular orbital of N$_2$. Our work provides a reliable and general approach for imaging of molecular orbitals with the photoelectron spectroscopy.

[1]  C. Figueira de Morisson Faria,et al.  It is all about phases: ultrafast holographic photoelectron imaging , 2019, Reports on progress in physics. Physical Society.

[2]  Xiaojun Liu,et al.  Tomographic Extraction of the Internuclear Separation Based on Two-Center Interference with Aligned Diatomic Molecules. , 2019, Physical review letters.

[3]  P. Corkum,et al.  Spatiotemporal imaging of valence electron motion , 2019, Nature Communications.

[4]  J. Chen,et al.  Laser-Induced Inelastic Diffraction from Strong-Field Double Ionization. , 2017, Physical review letters.

[5]  Cheng Gong,et al.  Recoil-ion momentum distribution for nonsequential double ionization of Xe in intense midinfrared laser fields , 2016 .

[6]  Rupert Huber,et al.  Tracking the ultrafast motion of a single molecule by femtosecond orbital imaging , 2016, Nature.

[7]  R. French,et al.  Implication of the solvent effect, metal ions and topology in the electronic structure and hydrogen bonding of human telomeric G-quadruplex DNA. , 2016, Physical chemistry chemical physics : PCCP.

[8]  N. I. Shvetsov-Shilovski,et al.  Semiclassical two-step model for strong-field ionization , 2016, 1604.05123.

[9]  H. Schomerus,et al.  Influence of the Coulomb potential on above-threshold ionization: A quantum-orbit analysis beyond the strong-field approximation , 2015, 1506.03646.

[10]  X. Xie Two-dimensional attosecond electron wave-packet interferometry. , 2014, Physical review letters.

[11]  Serguei Patchkovskii,et al.  Signatures of the continuum electron phase in molecular strong-field photoelectron holography , 2014, Nature Physics.

[12]  P. Wernet,et al.  A high-order harmonic generation apparatus for time- and angle-resolved photoelectron spectroscopy. , 2013, The Review of scientific instruments.

[13]  P. Corkum,et al.  Linked attosecond phase interferometry for molecular frame measurements , 2013, Nature Physics.

[14]  Leo Gross,et al.  Imaging the charge distribution within a single molecule. , 2012, Nature nanotechnology.

[15]  C. Ambrosch-Draxl,et al.  Orbital tomography: Deconvoluting photoemission spectra of organic molecules , 2011 .

[16]  M. Spanner,et al.  Tunnel ionization of molecules and orbital imaging. , 2011, Physical review letters.

[17]  Alejandro Saenz,et al.  Alignment-dependent ionization of N2, O2, and CO2 in intense laser fields. , 2010, Physical review letters.

[18]  J. L. Hansen,et al.  Photoelectron angular distributions from strong-field ionization of oriented molecules , 2010, 1003.4634.

[19]  Bertrand Carré,et al.  Attosecond imaging of molecular electronic wavepackets , 2010 .

[20]  Stephen Berkebile,et al.  Reconstruction of Molecular Orbital Densities from Photoemission Data , 2009, Science.

[21]  P. Corkum,et al.  Laser Tunnel Ionization from Multiple Orbitals in HCl , 2009, Science.

[22]  H. C. Bandulet,et al.  Laser-Induced Electron Tunneling and Diffraction , 2008, Science.

[23]  D. Milošević,et al.  Angle-resolved high-order above-threshold ionization of a molecule: sensitive tool for molecular characterization. , 2008, Physical review letters.

[24]  Kevin F. Lee,et al.  Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields. , 2007, Physical review letters.

[25]  C. Cocke,et al.  Wavelength dependence of momentum-space images of low-energy electrons generated by short intense laser pulses at high intensities , 2006 .

[26]  T. Baumert,et al.  Femtosecond laser photoelectron spectroscopy on atoms and small molecules: prototype studies in quantum control. , 2005, Annual review of physical chemistry.

[27]  J. Levesque,et al.  Tomographic imaging of molecular orbitals , 2004, Nature.

[28]  Kevin F. Lee,et al.  Direct imaging of rotational wave-packet dynamics of diatomic molecules , 2003 .

[29]  Joachim Ullrich,et al.  Recoil-ion and electron momentum spectroscopy: reaction-microscopes , 2003 .

[30]  Herbert Walther,et al.  Above-threshold ionization: From classical features to quantum effects , 2002 .

[31]  A. Becker,et al.  Signatures of symmetry-induced quantum-interference effects observed in above-threshold-ionization spectra of molecules , 2001 .

[32]  Joachim Ullrich,et al.  Cold Target Recoil Ion Momentum Spectroscopy: a &momentum microscope' to view atomic collision dynamics , 2000 .

[33]  L. Keldysh,et al.  IONIZATION IN THE FIELD OF A STRONG ELECTROMAGNETIC WAVE , 1964 .

[34]  C. K. Ingold The Nature of the Chemical Bond and the Structure of Molecules and Crystals , 1940, Nature.

[35]  E. Hückel,et al.  Quantentheoretische Beiträge zum Benzolproblem , 1931 .

[36]  J. Lennard-jones,et al.  The electronic structure of some diatomic molecules , 1929 .