330 likes | 406 Views
A.Laricchiuta. IMIP-CNR, sezione di Bari, Italy. !!!non-equilibrium conditions!!!. STATE-to-STATE KINETIC APPROACH. ELEMENTARY PROCESSES. database of state-resolved cross sections. molecular dynamic calculations. molecular beam experiments. MODELING of PLASMA SYSTEMS
E N D
A.Laricchiuta IMIP-CNR, sezione di Bari, Italy
!!!non-equilibrium conditions!!! STATE-to-STATE KINETIC APPROACH ELEMENTARY PROCESSES database of state-resolved cross sections molecular dynamic calculations molecular beam experiments MODELING of PLASMA SYSTEMS for AEROSPACE APPLICATIONS (shuttle re-entry simulation)
ELECTRON IMPACT induced PROCESSES in HOMONUCLEAR DIATOMIC MOLECULES RESONANT VIBRATIONAL EXCITATION ofN2 NON-DISSOCIATIVE IONIZATION of N2 VIBRONIC EXCITATION and (PRE)DISSOCIATION of O2 andN2
IONIZATION N2-N2+ system POTENTIAL ENERGY CURVES F.R. Gilmore, J.Q.R.S.T. 5, 369 (1965)
SIMPLIFIED APPROACH ELECTRON-IMPACT IONIZATION: THEORETICAL APPROACH IONIZATION CROSS SECTION of atoms by electron impact CLASSICAL METHODS (THOMSON) ƒ universal function IONIZATION CROSS SECTION of vibrationally excited molecules by electron impact Franck-Condon factor ionization potential
we find the universal function f(x) on the basis of the experimental data NITROGEN
ELECTRON-IMPACT IONIZATION from GROUND STATE cross section [10-17 cm2]
CROSS SECTION DEPENDENCE on the INITIAL VIBRATIONAL QUANTUM NUMBER
ionic state Van Zyl this work 0.320 0.30 0.535 0.50 0.145 0.20 ELECTRON-IMPACT IONIZATION from GROUND STATE cross section [10-17 cm2] E=100eV [J.Geophys.Res. 100, 23755 (1995)]
VIBRONIC EXCITATION PREDISSOCIATION DIRECT DISSOCIATION EXCITATION-DISSOCIATION
M + M DIRECT DISSOCIATION M2* VIBRONIC EXCITATION M + M PREDISSOCIATION A* e A* n’ curves crossing X M2
intermediate energy region??? Impact Parameter Method quantistic effects (resonances) suitable for approximations (Born and Born-Bethe Approximations) accurate quantum treatments (R-Matrix, Close-Coupling …) • cross section vibrational-dependence • reasonable ACCURACY (agreement with experimental data) • low computational cost BUT • no treatment of resonance effects • suitable only for allowed transitions threshold region high energy region
Electron Impact Excitation/Dissociation Theoretical Approach: IMPACT PARAMETER METHOD • SEMICLASSICAl Method (quantal target - classical electron projectile) • ALLOWED Transitions • Degenerate Rotational Levels A.U. Hazi, Phys.Rev. A 5, 23 (1981) M.J. Redmon, B.C. Garrett, L.T. Redmon, C.W. McCurdy, Phys.Rev.A 32, R. Celiberto, T.N. Rescigno, Phys.Rev. A 47, 1939 (1993)
CODE SCHEME GAMESS (General Atomic and Molecular Electronic Structure System ) GOS FAUST BORN Cross Section Potential Energy Curves Transition Dipole Moment Impact Parameter IMPACT Cross Section
O2 system POTENTIAL ENERGY CURVES: Schumann-Runge transition
E=30eV E=30eV DISSOCIATIVE O2 CHANNELS
CROSS SECTION DEPENDENCE on the INITIAL VIBRATIONAL QUANTUM NUMBER E=30eV
O2 THEORETICAL GLOBAL DISSOCIATIVE RATE COEFFICIENTS
STATE-TO-STATE CROSS SECTIONS E=30eV nf = 4 nf = 7 nf = 11
COMPARISON with EXPERIMENTS ni = 0
N2 W.C. Ermler, J. Phys. Chem. 86, 1305 (1982)
n=0 P.C. Cosby, J. Chem. Phys. 98, 9544 (1993) theoretical global predissociative cross sections
theoretical global predissociative rate coefficients
Direct Dissociation through the excited state Vibronic Excitation Dissociation through Predissociative Channels The N2 Birge-Hopfield system D.Spelsberg, W.Meyer, Journal of Chemical Physics 115 (2001) 6438
E=40eV E=40eV X 1Sg (ni) b 1Pu X 1Sg (ni) b 1Pu (continuum)
CROSS SECTION DEPENDENCE on the INITIAL VIBRATIONAL QUANTUM NUMBER
E.C. Zipf, M.R. Gorman, Journal of Chemical Physics 73 (1980) 813
COMPARISON of electron-molecule and atom-molecule collision RATE COEFFICIENTS N2 (n,j=0) O2 (n,j=0)
resonant electron capture electron detachment RESONANT VIBRATIONAL EXCITATION
resonant vibrational excitation cross section (Schwinger multichannel method) N2 resonant vibrational excitation rate coefficients J=50 W.M. Huo, V.McKoy, M.A.P.Lima T.L.Gibson , in "Thermophysical aspects of reentry flows", J.N.Moss and C.D. Scott eds., AIAA, New York (1986).
M.Capitelli Department of Chemistry, University of Bari, Italy IMIP-CNR, sezione di Bari, Italy R.Celiberto DICA, Politecnico di Bari, Italy B.M.Smirnov, A.V.Kosarim Institute for High Temperatures of RAS, Moscow, Russia