A scaling theoretical analysis of vibrational relaxation experiments: rotational effects and long-range collisions

DePristo, Andrew E.; Rabitz, Herschel

doi:10.1016/0301-0104(79)80117-2

Cited by 43 publications

(6 citation statements)

References 34 publications

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“…In order to improve the model, some adiabaticity corrections have been proposed 12,13,19 leading to the so-called energy corrected sudden ͑ECS͒ model. In this approach the relaxation matrix elements for downward transitions are corrected through…”

Section: ͑13͒mentioning

confidence: 99%

“…10, 11͒ approximation improved by introducing energy corrections. 12,13 This model, developed for collisions of lina͒ Author to whom correspondence should be addressed. Tel: 33 169157514; fax: 33169157530; electronic mail: jean-michel.hartmann@ppm.u-psud.fr ear molecule with atoms, has enabled precise modeling and analysis of line-mixing for a number of systems ͑e.g., Refs.…”

Section: Introductionmentioning

confidence: 99%

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Experimental and theoretical study of line mixing in NH3 spectra. I. Scaling analysis of parallel bands perturbed by He

Hadded

Thibault

Flaud

et al. 2002

The Journal of Chemical Physics

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Section: ͑13͒mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental and theoretical study of line mixing in NH3 spectra. I. Scaling analysis of parallel bands perturbed by He

Hadded

Thibault

Flaud

et al. 2002

The Journal of Chemical Physics

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“…The interaction matrix is parametrized with respect to time by invoking a classical translational path. We choose for the form of the classical path interaction matrix (21) J. Chern Equation (21) arises from an interaction which is exponential in x, with exponent -ax.…”

Section: A the Model Problemmentioning

confidence: 99%

Scaling theory: Energy sudden and dynamically modified relations

Eno

1986

The Journal of Chemical Physics

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Articles you may be interested inEnergy sudden dissociative collisions: Structure and applications of factorization relations J. Chem. Phys. 82, 1855; 10.1063/1.448369Rotational energy transfer in HF(v=2): Energy corrected sudden approximation scaling relations applied to double resonance measurements A test of the adiabaticity and kinetic energy shift factors in the energy corrected sudden scaling theory An approach is described for dynamically modifying energy sudden (ES) collisional scaling relations. It is based upon a generalized form of perturbation theory (PT), which contains ES dynamics as the zeroth order approximate. The corresponding first order PT scattering matrix is further modified by exponential unitarization (EPT). Our scaling relations take on the following structure: an input column of S-matrix elements (back) projects through first order EPT (and hence in an approximate fashion), onto the corresponding column ofES elements; a set ofES scaling coefficients (forward) projects these elements onto a new column; the new column (forward) projects through again first order EPT, onto the corresponding scaled column. The effectiveness of this approach is illustrated by application to a simple classical path three-state problem. Two slightly different versions of the approach are compared. We also examine how "column based" scaling predictions compare with "single element based" predictions. Finally, a number of avenues for further development and application are discussed.

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“…and substituting in Eq. 7.1-7, we obtain the factorization relations In concluding this section, we make some general remarks on the factorlzatltm relations (36) (30,66). The effect of the dissociation continuum will be more significant for states higher in the well.…”

Section: Es Factorization Relations and Consistency Conditions For DImentioning

confidence: 86%

“…be used approximately for degeneracy averaged cross sections. The naMlMi ture of the approximation is to ignore off-diagonal elements of ; this approximation is frequently used in problems concerning the vibra tional degrees of freedom (30,66).…”

Section: XVmentioning

confidence: 99%

Factorization of scattering information in molecular collision theory

Chan

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A scaling theoretical analysis of vibrational relaxation experiments: rotational effects and long-range collisions

Cited by 43 publications

References 34 publications

Experimental and theoretical study of line mixing in NH3 spectra. I. Scaling analysis of parallel bands perturbed by He

Experimental and theoretical study of line mixing in NH3 spectra. I. Scaling analysis of parallel bands perturbed by He

Scaling theory: Energy sudden and dynamically modified relations

Factorization of scattering information in molecular collision theory

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