Entropy analysis of product energy distributions in nonreactive inelastic collisions

Rubinson, Mica; Steinfeld, JI

doi:10.1016/0301-0104(74)85014-7

Cited by 76 publications

(7 citation statements)

References 8 publications

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“…These measurements performed under bulk conditions provided estimations for inelastic transition rate constants which do not allow straightforward inversion of the potential. Early theoretical interpretations (Kajimoto and Fueno, 1972;Rubinson et al, 1974b;Rubinson and Steinfeld, 1974) designed and used empirical potentials representing the total PES as a sum of atom-atom potentials (Hill, 1946;Kitaigorodskii, 1951). The addition of two identical potentials gives a PES with a T-shaped configuration and a saddle point in the collinear arrangement.…”

Section: Empirical Potentialsmentioning

confidence: 99%

Ar ··· I 2 : A model system for complex dynamics

Buchachenko

Halberstadt

Lepetit

et al. 2003

International Reviews in Physical Chemistry

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We review spectroscopic and photodissociation dynamical studies in the region of the B ← X transition of the Ar ... I 2 Van der Waals complex, both below and above the dissociation limit of the B(3 Π 0 + u) state. This very simple system constitutes a prototype for a wide range of molecular processes: vibrational predissociation involving intramolecular vibrational relaxation, electronic predissociation, cage effect... Each of these processes has been or still is the subject of differing interpretations: intramolecular vibrational relaxation involved in the vibrational predissociation of this system can be in the sparse or statistical regime, vibrational and electronic predissociation are in competition, and a direct, ballistic interpretation of the cage effect as well as a nonadiabatic one have been proposed. The study of the dependence of these dynamical processes on the relative orientation of the two partners of the complex (stereodynamics) is made possible by the coexistence of two stable Ar ... I 2 (X) isomers. Experimental as well as theoretical results are reviewed. Experiments range from frequency-resolved to time-dependent studies, including the determination of final state distributions. Theoretical studies involve potential energy surface calculations for several electronic states of the complex and their couplings, and adiabatic as well as nonadiabatic dynamical simulations.

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Section: Empirical Potentialsmentioning

confidence: 99%

Ar ··· I 2 : A model system for complex dynamics

Buchachenko

Halberstadt

Lepetit

et al. 2003

International Reviews in Physical Chemistry

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“…A quite different theoretical approach has been adopted by Steinfeld.26 Total relaxation rates from specified H F levels have been calculated with a treatment based on information theory.27* 28 The fundamental assumption is that the detailed rate coefficients, for both V-V and V-T, R processes, can be represented by an equation of the form,29* 30 k(u…”

Section: E N E R G Y T R a N S F E R From H F A N D D Fmentioning

confidence: 99%

Quenching of infrared chemiluminescence. Part 6.—Rates of energy transfer from HF (2 ⩽v⩽ 7) to HF (v= 0), H₂, D₂and HD, and from DF (3 ⩽v⩽ 5) to HF (v= 0)

Poole¹,

Smith²

1977

J. Chem. Soc., Faraday Trans. 2

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The intensity of H F (and DF) overtone emission from individual vibrational levels populated in the reactions, H+F2 -+ H F t f F (1)(and the deuterium analogues) has been studied as a function of the concentration of added quenching gases. Using a steady-state analysis, rate coefficients have been determined for the transfer of energy from H F (2 < D Q 7) to H F (u = 0), H2, D2 and HD, and from DF (3 < u Q 5) to HF (u = 0). The results are discussed in relation to (a) the competing processes of vibrational-tovibrational (V-V) energy exchange and vibrational-to-translational, rotational (V-T, R) energy transfer, and (6) theoretical models.

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“…For example, the scalar boundary-value problem (the principal part of the operator on the left side of the differential equation of (1.39)) relative to the boundary conditions of (1.39), Another area of application for the integral equation (1.1) occurs in the study of thermal dissociation of a polyatomic gas. Knessl b given in terms of a modified Bessel function of the second kind is used in [1] and [9], based on work of Rubinson and Steinfeld [10]. The integral equation (1.1) with kernel 0.44) cannot generally be reduced to a differential equation.…”

Section: ][T](x)mentioning

confidence: 99%

“…An example of this type with functions a, b given in terms of a modified Bessel function of the second kind is used in [1] and [9], based on work of Rubinson and Steinfeld [10]. The integral equation (1.1) with kernel 0.44) cannot generally be reduced to a differential equation.…”

Section: Introductionmentioning

confidence: 99%

Singular Perturbation Analysis of Integral Equations: Part II

Lange

Smith

1993

Stud Appl Math

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Singularly perturbed linear Volterra or Fredholm integral equations with kernels possessing jump discontinuities in a derivative are discussed within the framework of [6]. An intriguing and remarkable feature of such equations is that in general the leading order outer solution does not satisfy the unperturbed integral equation. Moreover, the solution usually exhibits large amplitude boundary layer behavior at one or both endpoints. Our perturbation technique, which is based on an efficient asymptotic splitting of the integral equation, clearly reveals the rich asymptotic solution structure for this class of equations.

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Entropy analysis of product energy distributions in nonreactive inelastic collisions

Cited by 76 publications

References 8 publications

Ar ··· I 2 : A model system for complex dynamics

Ar ··· I 2 : A model system for complex dynamics

Quenching of infrared chemiluminescence. Part 6.—Rates of energy transfer from HF (2 ⩽v⩽ 7) to HF (v= 0), H₂, D₂and HD, and from DF (3 ⩽v⩽ 5) to HF (v= 0)

Singular Perturbation Analysis of Integral Equations: Part II

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Entropy analysis of product energy distributions in nonreactive inelastic collisions

Cited by 76 publications

References 8 publications

Ar ··· I 2 : A model system for complex dynamics

Ar ··· I 2 : A model system for complex dynamics

Quenching of infrared chemiluminescence. Part 6.—Rates of energy transfer from HF (2 ⩽v⩽ 7) to HF (v= 0), H2, D2and HD, and from DF (3 ⩽v⩽ 5) to HF (v= 0)

Singular Perturbation Analysis of Integral Equations: Part II

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Quenching of infrared chemiluminescence. Part 6.—Rates of energy transfer from HF (2 ⩽v⩽ 7) to HF (v= 0), H₂, D₂and HD, and from DF (3 ⩽v⩽ 5) to HF (v= 0)