Information for : Imaging ultrafast molecular dynamics with laser-induced electron diffraction

Establishing the structure of molecules and solids has always had an essential role in physics, chemistry and biology. The methods of choice are X-ray and electron diffraction, which are routinely used to determine atomic positions with sub-ångström spatial resolution. Although both methods are currently limited to probing dynamics on timescales longer than a picosecond, the recent development of femtosecond sources of X-ray pulses and electron beams suggests that they might soon be capable of taking ultrafast snapshots of biological molecules and condensed-phase systems undergoing structural changes. The past decade has also witnessed the emergence of an alternative imaging approach based on laser-ionized bursts of coherent electron wave packets that self-interrogate the parent molecular structure. Here we show that this phenomenon can indeed be exploited for laser-induced electron diffraction (LIED), to image molecular structures with sub-ångström precision and exposure times of a few femtoseconds. We apply the method to oxygen and nitrogen molecules, which on strong-field ionization at three mid-infrared wavelengths (1.7, 2.0 and 2.3 μm) emit photoelectrons with a momentum distribution from which we extract diffraction patterns. The long wavelength is essential for achieving atomic-scale spatial resolution, and the wavelength variation is equivalent to taking snapshots at different times. We show that the method has the sensitivity to measure a 0.1 Å displacement in the oxygen bond length occurring in a time interval of ∼5 fs, which establishes LIED as a promising approach for the imaging of gas-phase molecules with unprecedented spatio-temporal resolution.

[1]  M. E. Rudd,et al.  Differential cross sections for elastic scattering of electrons from argon, neon, nitrogen and carbon monoxide , 1976 .

[2]  R. Miller,et al.  Snapshots of cooperative atomic motions in the optical suppression of charge density waves , 2010, Nature.

[3]  H. C. Bandulet,et al.  Probing proton dynamics in molecules on an attosecond timescale , 2007, 2007 Quantum Electronics and Laser Science Conference.

[4]  M. Fink,et al.  Differential cross sections for elastic electron scattering. II. Charge cloud polarization in N2 , 1976 .

[5]  R. Lucchese,et al.  Extracting Electron-Ion Differential Scattering Cross Sections for Partially Aligned Molecules by Laser-induced Rescattering Photoelectron Spectroscopy , 2011, Physical review letters.

[6]  Imaging molecular structures by electron diffraction using an intense few-cycle pulse. , 2005, Physical review letters.

[7]  A. Le,et al.  Analysis of two-dimensional high-energy photoelectron momentum distributions in the single ionization of atoms by intense laser pulses , 2007, 0707.4212.

[8]  P. Corkum,et al.  LASER-INDUCED ELECTRON DIFFRACTION : A NEW TOOL FOR PROBING ULTRAFAST MOLECULAR DYNAMICS , 1996 .

[9]  P. Corkum,et al.  Laser-induced interference, focusing, and diffraction of rescattering molecular photoelectrons. , 2004, Physical review letters.

[10]  T. Elsaesser,et al.  Photoinduced structural dynamics of polar solids studied by femtosecond X-ray diffraction. , 2010, Acta crystallographica. Section A, Foundations of crystallography.

[11]  P. Corkum,et al.  LETTER TO THE EDITOR: Reading diffraction images in strong field ionization of diatomic molecules , 2004 .

[12]  Georg Weidenspointner,et al.  Femtosecond X-ray protein nanocrystallography , 2011, Nature.

[13]  C. Lin,et al.  Theory of molecular tunneling ionization , 2002 .

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

[15]  A. Le,et al.  Quantitative Rescattering Theory for Laser-Induced High-Energy Plateau Photoelectron Spectra , 2008, 0812.1524.

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

[17]  P. Corkum,et al.  Plasma perspective on strong field multiphoton ionization. , 1993, Physical review letters.

[18]  Nigel D. Browning,et al.  4D Electron Microscopy: Imaging in Space and Time , 2010 .

[19]  Stephen Buckman,et al.  Electron-molecule scattering cross-sections. I. Experimental techniques and data for diatomic molecules , 2002 .

[20]  R. Lucchese,et al.  Strong-field rescattering physics—self-imaging of a molecule by its own electrons , 2010 .

[21]  Sheehy,et al.  Elastic Rescattering in the Strong Field Tunneling Limit. , 1996, Physical review letters.

[22]  B. Marinković,et al.  Differential cross sections for elastic and inelastic scattering of electrons by N2O in the range from 10 to 80 eV , 1986 .

[23]  Yang,et al.  Above threshold ionization beyond the high harmonic cutoff. , 1993, Physical review letters.

[24]  Garth J. Williams,et al.  Single mimivirus particles intercepted and imaged with an X-ray laser , 2011, Nature.

[25]  Ahmed H. Zewail Prof. Femtochemistry: Atomic-Scale Dynamics of the Chemical Bond Using Ultrafast Lasers (Nobel Lecture) , 2000 .

[26]  Harry B. Gray,et al.  Chemical structure and bonding , 1980 .

[27]  J. Tate,et al.  Scaling of wave-packet dynamics in an intense midinfrared field. , 2007, Physical review letters.

[28]  C. Lin,et al.  Routes to Control of H~2 Coulomb Explosion in Few-Cycle Laser Pulses , 2004 .

[29]  Ferenc Krausz,et al.  Time-resolved electron diffraction from selectively aligned molecules. , 2009, Physical review letters.

[30]  H. G. Muller,et al.  Attosecond Synchronization of High-Harmonic Soft X-rays , 2003, Science.

[31]  Germán Sciaini,et al.  Femtosecond electron diffraction: heralding the era of atomically resolved dynamics , 2011 .

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

[33]  A. Zewail Femtochemistry: Atomic‐Scale Dynamics of the Chemical Bond Using Ultrafast Lasers (Nobel Lecture) , 2000 .

[34]  C. Cornaggia Electron–ion elastic scattering in molecules probed by laser-induced ionization , 2009 .

[35]  Ahmed H. Zewail,et al.  4D Electron Microscopy: Imaging in Space and Time , 2009 .

[36]  J. F. Williams,et al.  The scattering of electrons from inert gases. I. Absolute differential elastic cross sections for argon atoms , 1975 .

[37]  A. Le,et al.  Accurate retrieval of structural information from laser-induced photoelectron and high-order harmonic spectra by few-cycle laser pulses. , 2007, Physical review letters.

[38]  R. Velotta,et al.  Revealing molecular structure and dynamics through high-order harmonic generation driven by mid-IR fields , 2010 .

[39]  C. Lin,et al.  Experimental retrieval of target structure information from laser-induced rescattered photoelectron momentum distributions. , 2008, Physical review letters.

[40]  P. Colosimo,et al.  Scaling strong-field interactions towards the classical limit , 2008 .

[41]  Junliang Xu,et al.  Self-Imaging of Molecules from Diffraction Spectra by Laser-Induced Rescattering Electrons , 2010 .

[42]  P. Knight,et al.  Electron diffraction in above-threshold ionization of molecules , 2002 .

[43]  C. Lin,et al.  Rescattering double ionization of D2 and H2 by intense laser pulses. , 2003, Physical review letters.

[44]  Albert Stolow,et al.  Time-Resolved Dynamics in N2O4 Probed Using High Harmonic Generation , 2008, Science.

[45]  P. Colosimo,et al.  Intense self-compressed, self-phase-stabilized few-cycle pulses at 2 microm from an optical filament. , 2007, Optics letters.

[46]  L F DiMauro,et al.  Attosecond synchronization of high-order harmonics from midinfrared drivers. , 2009, Physical review letters.

[47]  F. Légaré,et al.  Sub-laser-cycle electron pulses for probing molecular dynamics , 2002, Nature.

[48]  I. Bocharova,et al.  Large-angle electron diffraction structure in laser-induced rescattering from rare gases. , 2008, Physical review letters.