Vibrational Energy Exchange for a Morse Potential Interaction

Allen, Ryan T.; Feuer, P.

doi:10.1063/1.1724910

Cited by 28 publications

(4 citation statements)

References 8 publications

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“…The correct scattering solution 1/1 has the asymptotic form 1/I,-.....,exp( -ikix)cf>i(y)+ L R ji exp( +ikjx)cf>j(Y), (6) j which corresponds physically to the gas atom colliding with the surface atom in state i causing transitions to states j with probability P · ·-k·k·-I 1 R .. 12…”

Section: Methods Of Solution Of the Scattering Schrodinger Equationmentioning

confidence: 99%

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Quantum-Mechanical Transition Probabilities for Atom–Atomic-Oscillator Collisions with Morse Potential Interaction

Diestler

Feuer²

1971

The Journal of Chemical Physics

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Exact quantum-mechanical transition probabilities for the collision of an atom with an atomic oscillator for the case in which the interaction has the form of a Morse potential are obtained by numerical integration of the relevant close-coupled scattering equations. These transition probabilities are compared with approximate ones calculated from distorted-wave theory over a range of parameters which have been of interest in examining the collision of helium atoms with a tungsten surface. Some information is obtained concerning the range of validity of the first-order theory, and certain suggestions that have appeared in the literature for correcting the distorted-wave results are found to be inadequate.

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Section: Methods Of Solution Of the Scattering Schrodinger Equationmentioning

confidence: 99%

“…(5)J to obtain a set of linearly independent solutions. These are then combined linearly to form the correct scattering states (6). We now turn to a discussion of the two exact numerical methods of solving Eqs.…”

Section: Methods Of Solution Of the Scattering Schrodinger Equationmentioning

confidence: 99%

Quantum-Mechanical Transition Probabilities for Atom–Atomic-Oscillator Collisions with Morse Potential Interaction

Diestler

Feuer²

1971

The Journal of Chemical Physics

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“…The trapping edges in those plotting are located in the vicinity of the predicted values of Equation (17). For example, the case of / 3 = d = 0.01, which is plotted in Fig.…”

Section: (1 5)mentioning

confidence: 95%

A Simple Dissipation Model for Collisional T‐V Energy Transfer and Association Processes between Atoms and Polyatomic Molecules. II. Numerical Trajectory Results for a Morse Interaction

Kohlmaler

Nowak

Siré

1976

Ber Bunsenges Phys Chem

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In this second paper we present exact numerical trajectory results with respect to the collisional system atom/damped harmonic oscillator, as a simple model for collisional interacting gas atom/large polyatomic (or solid‐surface) systems. The dependence of the T‐V energy transfer and possible adsorption processes on the frictional parameter, well depth, mass coefficient and particle velocities are studied, assuming a Morse interaction potential. Consideration of multiple collisional processes in relation to the intramolecular relaxation leads to interesting new results.

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“…Let dR(e) /ilti be the probability that a particle initially in the small energy range dti centered at ti be scattered into the well defined beam of energy tf via a single phonon emission. Then the total energy given up to the surface in a single phonon process is (10) Noting that I tf-ti 1= liw, the energy of the exchanged phonon, Eqs. (9) and (10) can be combined to obtain the total energy exchanged at the surface:…”

Section: A(t) = Lim (E-e )/(Es-eg)mentioning

confidence: 99%

Simple Model for the Energy Accommodation Coefficient

Manson

1972

The Journal of Chemical Physics

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Thermal accommodation coefficients by high speed vibration of solid samples. IV. Determination of translational and internal energy accommodation coefficientsQuantum mechanical expressions for the energy accommodation of a gas at a solid surface are developed using the general theory of inelastic surface scattering as developed by Manson and Celli. Calculations are presented for the accommodation of helium at a simplified model of a tungsten surface. The phonon spectrum at the surface is taken to be that of a semi-infinite isotropic continuum, and contributions to the accommodation are obtained from bulk, mixed, and Rayleigh phonon modes. For temperatures not too small the calculations agree qualitatively with experiment, and exhibit the property that the accommodation is nearly independent of surface temperature over a large range.

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Vibrational Energy Exchange for a Morse Potential Interaction

Cited by 28 publications

References 8 publications

Quantum-Mechanical Transition Probabilities for Atom–Atomic-Oscillator Collisions with Morse Potential Interaction

Quantum-Mechanical Transition Probabilities for Atom–Atomic-Oscillator Collisions with Morse Potential Interaction

A Simple Dissipation Model for Collisional T‐V Energy Transfer and Association Processes between Atoms and Polyatomic Molecules. II. Numerical Trajectory Results for a Morse Interaction

Simple Model for the Energy Accommodation Coefficient

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