Recurrences in the autocorrelation function governing the ultraviolet absorption spectra of O3

The approximate dipole–dipole autocorrelation function corresponding to UV photoabsorption in the Huggins and Hartley bands of ozone is obtained by Fourier transformation of the T=195 K data measured by Freeman, Yoshino, Esmond, and Parkinson [Planet. Space Sci. 32, 239 (1984)]. Weak structure seen at vibrational resolution in the broad absorption bands, previously unassigned, is shown to correspond predominantly to 4–5 small recurrent features in the autocorrelation function during the first 130 fs. These time‐dependent features are each assigned to particular types of unstable periodic or nearly periodic orbits in the classical dynamics.

[1]  Wintgen,et al.  Connection between long-range correlations in quantum spectra and classical periodic orbits. , 1987, Physical review letters.

[2]  V. Vaida,et al.  Ultraviolet absorption spectroscopy of dissociating molecules: Effects of cluster formation on the photodissociation of CH3I , 1987 .

[3]  A. Starace.  Quasi-Landau spectrum of a hydrogen like atom in a high magnetic field , 1973 .

[4]  S. Farantos.  Chaotic structure in the phase space of acetylene , 1986 .

[5]  F. Harris.  On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[6]  ArnoldM. Bass,et al.  UV absorption cross sections for ozone: the temperature dependence , 1981 .

[7]  Gay,et al.  Scars of symmetries in quantum chaos. , 1987, Physical review letters.

[8]  D. C. Clary,et al.  The Theory of Chemical Reaction Dynamics , 1986 .

[9]  J. Main,et al.  Semiclassical quantization of three-dimensional quasi-Landau resonances under strong-field mixing , 1987 .

[10]  F. Comes,et al.  Laser flash photolysis: Quantum yield of O(1D) formation from ozone , 1977 .

[11]  K. Taylor,et al.  Quantisation of new periodic orbits for the hydrogen atom in a magnetic field , 1986 .

[12]  Jost,et al.  Fourier transform: A tool to measure statistical level properties in very complex spectra. , 1986, Physical review letters.

[13]  E. Heller.  Photofragmentation of symmetric triatomic molecules: Time dependent picture , 1978 .

[14]  P. Jeffrey Hay,et al.  Geometries and energies of the excited states of O3 from ab initio potential energy surfaces , 1977 .

[15]  R. Mcpeters,et al.  Anomalous atmospheric spectral features between 300 and 310 nm interpreted in light of new ozone absorption coefficient measurements , 1982 .

[16]  J. L. Kinsey,et al.  Time-dependent analysis of the Hartley absorption band and resonance Raman spectra in ozone , 1987 .

[17]  A. Rau.  Phenomena exhibiting strong field mixing , 1977 .

[18]  S. Saini,et al.  A Model for motion in the chaotic regime: Classical and quantum viewpoints , 1988 .

[19]  J. R. Esmond,et al.  High resolution absorption cross-section measurements of ozone at 195 K in the wavelength region 240–350 nm , 1984 .

[20]  R. Osgood,et al.  An analytic theory of photodissociation of linear symmetric polyatomic molecules , 1984 .

[21]  W. Garton,et al.  Configuration interaction effect on diamagnetic phenomena in atoms: strong mixing and Landau regions , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[22]  D. Kleppner,et al.  Origin and Structure of the Quasi-Landau Resonances , 1980 .

[23]  S. Adler-Golden.  Franck-Condon analysis of thermal and vibrational excitation effects on the ozone Hartley continuum , 1983 .

[24]  S. Adler-Golden,et al.  Ultraviolet continuum spectroscopy of vibrationally excited ozone , 1982 .

[25]  Reinhardt,et al.  Classical-quantum correspondence in the presence of global chaos. , 1988, Physical review letters.

[26]  K. Cross,et al.  The Huggins bands of ozone , 1978 .

[27]  J. L. Kinsey,et al.  Excitation spectroscopy of jet‐cooled ozone: The Huggins system , 1986 .

[28]  J. Delos,et al.  Effect of closed classical orbits on quantum spectra: Ionization of atoms in a magnetic field. , 1987, Physical review letters.

[29]  J. Delos,et al.  Effect of closed classical orbits on quantum spectra: Ionization of atoms in a magnetic field. I. Physical picture and calculations. , 1988, Physical review. A, General physics.

[30]  W. Reinhardt.  A time-dependent approach to the magnetic-field-induced redistribution of oscillator strength in atomic photoabsorption , 1983 .

[31]  A. R. Edmonds.  THE THEORY OF THE QUADRATIC ZEEMAN EFFECT , 1970 .

[32]  R. Walker,et al.  Wigner method studies of ozone photodissociation , 1983 .

[33]  J. Main,et al.  New quasi-Landau structure of highly excited atoms: The hydrogen atom. , 1986, Physical review letters.

[34]  J. L. Kinsey,et al.  Time domain formulation of optical spectroscopy involving three potential energy surfaces , 1986 .

[35]  B. Leyh,et al.  Intramolecular dynamics by photoelectron spectroscopy. II. Nonadiabatic processes. , 1983 .

[36]  J. Valentini,et al.  Molecular potentials from CARS photofragment spectroscopy: spectroscopic constants and potential energy curve for oxygen(a1.DELTA.g) , 1987 .

[37]  Heller.  Quantum localization and the rate of exploration of phase space. , 1987, Physical review. A, General physics.

[38]  Wintgen,et al.  Semiclassical path-integral quantization of nonintegrable Hamiltonian systems. , 1988, Physical review letters.

[39]  J. L. Kinsey,et al.  Spectroscopic characterization of repulsive potential energy surfaces: fluorescence spectrum of ozone , 1982 .

[40]  S. Adler-Golden.  Sum rules for molecular electronic spectra: Application to exact and reflection principle solutions , 1982 .

[41]  E. Pollak,et al.  Periodic orbit analysis of the photodissociation spectrum of H+3 , 1988 .

[42]  D. Wintgen.  Calculation of the Liapunov exponent for periodic orbits of the magnetised hydrogen atom , 1987 .

[43]  Michael J. Davis,et al.  Multidimensional wave functions from classical trajectories , 1981 .

[44]  M. Molina,et al.  Absolute absorption cross sections of ozone in the 185- to 350-nm wavelength range , 1986 .

[45]  Taylor,et al.  Classical mechanical analysis of the experimental high-energy spectrum of the sodium trimer molecule. , 1989, Physical review letters.

[46]  H. Metiu,et al.  Time dependent calculations of the absorption spectrum of a photodissociating system with two interacting excited electronic states , 1989 .

[47]  Eric J. Heller,et al.  Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits , 1984 .

[48]  Main,et al.  Diamagnetism of the hydrogen atom in the quasi-Landau regime. , 1986, Physical review letters.

[49]  A. Hearn.  The Absorption of Ozone in the Ultra-violet and Visible Regions of the Spectrum , 1961 .

[50]  Johnson,et al.  Dynamical interpretation of the Hartley-absorption oscillations in O3. , 1989, Physical review letters.

[51]  E. Heller.  Quantum corrections to classical photodissociation models , 1978 .

[52]  V. Engel,et al.  Theoretical study of the transition-state spectroscopy of the collinear H + H2 reaction , 1985 .

[53]  E. Pollak,et al.  A classical trajectory study of the photodissociation spectrum of H+3 , 1989 .

[54]  D. Phillips,et al.  CARS spectroscopy of O2(1Δg) from the Hartley band photodissociation of O3: Dynamics of the dissociation , 1987 .

[55]  E. Pollak,et al.  Bound states embedded in the continuum of H+3 , 1988 .

[56]  J. L. Kinsey,et al.  Fluorescence and stimulated emission S1 → S0 spectra of acetylene: Regular and ergodic regions , 1985 .

[57]  M. E. Kellman.  Algebraic resonance dynamics of the normal/local transition from experimental spectra of ABA triatomics , 1985 .

[58]  Yoshio Tanaka,et al.  Absorption Coefficient of Ozone in the Ultraviolet and Visible Regions , 1953 .

[59]  E. Heller,et al.  Time dependent formulation of polyatomic photofragmentation: Application to H3+ , 1978 .

[60]  J. Wolf,et al.  Stimulated emission spectroscopy of the ground state of Na3 , 1989 .

[61]  J. Jonas,et al.  Raman study of molecular reorientation in liquid chloroform and chloroform‐d under high pressure , 1978 .

[62]  Friedrich,et al.  Correspondence of unstable periodic orbits and quasi-Landau modulations. , 1987, Physical review. A, General physics.

[63]  A. Devaquet,et al.  Unsymmetrical 1B2 (ππ∗) state of ozone , 1973 .

[64]  Ernest Vigroux,et al.  Contribution à l'étude expérimentale de l'absorption de l'ozone , 1953 .

[65]  E. Heller.  The semiclassical way to molecular spectroscopy , 1981 .

[66]  Kenneth C. Kulander,et al.  Spectra in the chaotic region: Methods for extracting dynamic information , 1989 .

[67]  R. Gordon,et al.  Correlation Functions for Molecular Motion , 1968 .

[68]  C. M. Farmer,et al.  Stability of periodic orbits in atomic hydrogen in a magnetic field , 1987 .

[69]  M. Hubin-franskin,et al.  Intramolecular dynamics by photoelectron spectroscopy. I. Application to N+2, HBr+, and HCN+ , 1982 .

[70]  A. Barbe,et al.  Infrared spectra of 16O3 and 18O3: Darling and Dennison resonance and anharmonic potential function of ozone , 1974 .

[71]  R. Bracewell.  The Fourier Transform and Its Applications , 1966 .

[72]  Friedrich,et al.  Lyapunov exponents for classical orbits of the hydrogen atom in a magnetic field. , 1988, Physical review. A, General physics.

[73]  E. Heller,et al.  Time‐dependent theory of Raman scattering , 1979 .

[74]  Friedrich,et al.  Regularity and irregularity in spectra of the magnetized hydrogen atom. , 1986, Physical review letters.

[75]  L. L. Lohr,et al.  Ab initio synthesis of the ozone ultraviolet continuum , 1987 .

[76]  D. Imre,et al.  Photoabsorption and photoemission of ozone in the Hartley band , 1988 .

[77]  E. Heller,et al.  Photodissociation of ozone in the Hartley band. Exploratory potential energy surfaces and molecular dynamics , 1982 .

[78]  E. O. Brigham,et al.  The Fast Fourier Transform , 1967, IEEE Transactions on Systems, Man, and Cybernetics.

[79]  W. Garton,et al.  DIAMAGNETIC ZEEMAN EFFECT AND MAGNETIC CONFIGURATION MIXING IN LONG SPECTRAL SERIES OF Ba I. , 1969 .

[80]  Gregory S. Ezra,et al.  EBK quantization of nonseparable systems: A Fourier transform method , 1985 .

[81]  R. T. Pack.  Simple theory of diffuse vibrational structure in continuous uv spectra of polyatomic molecules. I. Collinear photodissociation of symmetric triatomics , 1976 .

[82]  H. Taylor,et al.  Spectra in the chaotic region: A classical analysis for the sodium trimer , 1989 .

[83]  G. Moortgat,et al.  Relative O(1D) Quantum Yields in the near UV Photolysis of Ozone at 298 K , 1975 .

[84]  I. Laulicht,et al.  Raman Spectroscopy and Molecular Reorientation in Liquids: CDCl3 and CH3Br , 1973 .

[85]  W. Demore,et al.  Hartley band extinction coefficients of ozone in the gas phase and in liquid nitrogen, carbon monoxide, and argon. , 1964 .

[86]  W. Steele.  Molecular Reorientation in Liquids. II. Angular Autocorrelation Functions , 1963 .

[87]  K. Becker,et al.  Ozone–olefin reactions in the gas phase 1. Rate constants and activation energies , 1974 .

[88]  W. Rothschild.  Molecular Motion in Liquids: On the Prevalence of Large‐Size Rotational and Translational Diffusion Steps , 1970 .

[89]  M. Lax.  The Franck‐Condon Principle and Its Application to Crystals , 1952 .

[90]  M. Griggs,et al.  Absorption Coefficients of Ozone in the Ultraviolet and Visible Regions , 1968 .

[91]  J. W. Gallagher,et al.  Critical Survey of Data on the Spectroscopy and Kinetics of Ozone in the Mesosphere and Thermosphere , 1987 .

[92]  D. Clary,et al.  Photodissociation of carbon dioxide and reactive scattering resonances , 1987 .

[93]  O. Atabek,et al.  Three‐dimensional analytical model for the photodissociation of symmetric triatomics. Absorption and fluorescence spectra of ozone , 1986 .

[94]  J. Main,et al.  Quasi-Landau spectrum of the chaotic diamagnetic hydrogen atom. , 1988, Physical review letters.

[95]  Chen,et al.  Chaos and dynamics on 0.5-300 ps time scales in vibrationally excited acetylene: Fourier transform of stimulated-emission pumping spectrum. , 1987, Physical review letters.

[96]  V. Engel,et al.  Reactive resonances in the photodissociation of symmetric triatomic molecules: an interpretation of collinear CO2 in terms of polar coordinates , 1986 .

[97]  E. Bair,et al.  Ozone ultraviolet photolysis. VI. The ultraviolet spectrum , 1973 .