The Ar–HCl potential energy surface from a global map-facilitated inversion of state-to-state rotationally resolved differential scattering cross sections and rovibrational spectral data

A recently developed global, nonlinear map-facilitated quantum inversion procedure is used to obtain the interaction potential for Ar–HCl(v=0) based on the rotationally resolved state-to-state inelastic cross sections of Lorenz, Westley, and Chandler [Phys. Chem. Chem. Phys. 2, 481 (2000)] as well as rovibrational spectral data. The algorithm adopted here makes use of nonlinear potential→observable maps to reveal the complete family of surfaces that reproduce the observed scattering and spectral data to within its experimental error. A nonlinear analysis is performed on the error propagation from the measured data to the recovered family of potentials. The family of potentials extracted from the inversion data is compared to the Hutson H6(4,3,0) surface [Phys. Chem. 96, 4237 (1992)], which was unable to fully account for the inelastic scattering data [Phys. Chem. Chem. Phys. 2, 481 (2000)]. There is excellent agreement with H6(4,3,0) in the attractive well, where Hutson’s surface is considered most reliab...

[1]  S. Novick,et al.  Determination of the structure of ArHCl , 1973 .

[2]  H. Rabitz,et al.  Determination of the interatomic potential from elastic differential cross sections at fixed energy: Functional sensitivity analysis approach , 1989 .

[3]  P. Houston,et al.  Differential cross sections for state-selected products by direct imaging : Ar+NO , 1992 .

[4]  J. Waugh,et al.  Proton Spin–Lattice Relaxation in HCl–Ar Mixtures , 1971 .

[5]  Herschel Rabitz,et al.  Universal tight-binding calculation for the electronic structure of the quaternary alloy In 1-x Ga x As 1-y P y , 1998 .

[6]  Herschel Rabitz,et al.  Constructing global functional maps between molecular potentials and quantum observables , 2001 .

[7]  R. Saykally,et al.  The high‐resolution far infrared spectrum of a van der Waals stretching vibration: The ν3 band of Ar–HCl , 1987 .

[8]  Markus Meuwly,et al.  Morphing ab initio potentials: A systematic study of Ne–HF , 1999 .

[9]  Herschel Rabitz,et al.  Global, nonlinear algorithm for inverting quantum-mechanical observations , 2001 .

[10]  Nadia Balucani,et al.  Reactive scattering of atoms and radicals , 1995 .

[11]  Y. Lee,et al.  ArHCl interaction potential from differential elastic scattering cross section measurements , 1974 .

[12]  S. Novick,et al.  Centrifugal distortion in ArHCl , 1976 .

[13]  R. C. Cohen,et al.  Tunable far-infrared laser spectroscopy in a planar supersonic jet: The Σ bending vibration of ArH35Cl , 1987 .

[14]  R. Saykally,et al.  Far infrared laser Stark spectroscopy of the S bending vibration of ArHCl , 1988 .

[15]  R. Saykally,et al.  Vibrational spectroscopy of van der Waals bonds: Measurement of the perpendicular bend of ArHCl by intracavity far infrared laser spectroscopy of a supersonic jet , 1986 .

[16]  Edward A. Mason,et al.  TRANSPORT PROPERTIES OF POLAR GAS MIXTURES , 1962 .

[17]  Herschel Rabitz,et al.  Multicomponent semiconductor material discovery guided by a generalized correlated function expansion , 1999 .

[18]  Emily Weiss,et al.  Achieving the laboratory control of quantum dynamics phenomena using nonlinear functional maps , 2001 .

[19]  Jeremy M. Hutson,et al.  Intermolecular Forces from the Spectroscopy of Van Der Waals Molecules , 1990 .

[20]  J. Hutson Vibrational dependence of the anisotropic intermolecular potential of Ar-HCl , 1992 .

[21]  U. Buck,et al.  Total differential scattering cross sections for ArHCl , 1981 .

[22]  J. Bowman,et al.  A simple method to adjust potential energy surfaces: Application to HCO , 1991 .

[23]  M. Waldman,et al.  Internal dynamics of van der Waals complexes. II. Determination of a potential energy surface for ArHCl , 1978 .

[24]  A. N. Tikhonov,et al.  Solutions of ill-posed problems , 1977 .

[25]  T. Dunning,et al.  Benchmark calculations with correlated molecular wave functions. IX. The weakly bound complexes Ar–H2 and Ar–HCl , 1998 .

[26]  H. Rabitz,et al.  An efficient chemical kinetics solver using high dimensional model representation , 1999 .

[27]  G. Scoles,et al.  Reproducing kernel technique for extracting accurate potentials from spectral data: Potential curves of the two lowest states X 1Σg+ and a 3Σu+ of the sodium dimer , 2000 .

[28]  A. Charo,et al.  Characterization of the lowest‐lying Π bending state of Ar–HCl by far infrared laser–Stark spectroscopy and molecular beam electric resonance , 1985 .

[29]  R. Gordon,et al.  On a semiclassical study of molecular collisions. II. Application to HCl‐argon , 1973 .

[30]  A. Heck,et al.  Imaging techniques for the study of chemical reaction dynamics. , 1995, Annual review of physical chemistry.

[31]  Ian W. M. Smith,et al.  State-resolved studies of reactions in the gas phase , 1996 .

[32]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[33]  R. Saykally,et al.  Evidence for a secondary minimum in the ArHCl potential surface from far infrared laser spectroscopy of the lowest Σ bending vibration , 1987 .

[34]  H. Loesch,et al.  Rainbow scattering and time of flight spectra for ArHCl , 1990 .

[35]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[36]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[37]  M. Child,et al.  Molecular Collision Theory , 1976 .

[38]  David E. Manolopoulos,et al.  An improved log derivative method for inelastic scattering , 1986 .

[39]  T. A. Wiggins,et al.  Gas‐Phase Complexes in Hydrogen Chloride , 1963 .

[40]  Herschel Rabitz,et al.  Radiation transport simulation by means of a fully equivalent operational model , 2000 .

[41]  R. Saykally,et al.  An extended study of the lowest Π bending vibration–rotation spectrum of Ar–HCl by intracavity far infrared laser/microwave double resonance spectroscopy , 1987 .

[42]  A. M. Dunker,et al.  Calculations on the HCl–Ar van der Waals complex , 1976 .

[43]  D. Manolopoulos,et al.  A stable linear reference potential algorithm for solution of the quantum close‐coupled equations in molecular scattering theory , 1987 .

[44]  H. Rabitz,et al.  General foundations of high‐dimensional model representations , 1999 .

[45]  D. Chandler,et al.  Rotational state-to-state differential cross sections for the HCl–Ar collision system using velocity-mapped ion imaging , 2000 .

[46]  Alan S. Pine,et al.  Hydrogen bond energies of the HF and HCl dimers from absolute infrared intensities , 1986 .