Reaction probabilities, resonances, and thermal rate constants for the collinear reactions H + FH and D + FD on a low-barrier surface. Close-coupling and tunneling calculations, variational transition-state theory, and the unified statistical model

Bruce C. Garrett, Donald G. Truhlar, Roger S. Grev, George C Schatz, Robert B. Walker

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Abstract

We study the collinear H + FH → HF + H and D + FD → DF + D reactions on a potential-energy surface that has twin 1.75 kcal/mol saddle points. We present accurate quantal reaction probabilities over a wide energy range, including three resonance energies and three resonance widths for each isotopic case. From these we calculate accurate quantal rate constants at temperatures 75-7000 K for H + FH and 75-2400 K for D + FD; and we separate out the contributions of the lowest-energy resonance to the low-temperature rates. We present plots of S-matrix phases and eigenphases and Argand diagrams. The accurate quantal results are used to test a wide variety of approximate dynamical results: semiclassical and quantal resonance calculations based on the vibrationally adiabatic model; rate constants calculated by conventional transition-state theory, three versions of variational transition-state theory, and the unified statistical model; and vibrationally adiabatic transmission coefficients.

Original languageEnglish
Pages (from-to)3806-3817
Number of pages12
JournalJournal of Physical Chemistry
Volume85
Issue number25
Publication statusPublished - 1981

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Rate constants
Potential energy surfaces
deuterium fluorides
saddle points
energy
plots
potential energy
diagrams
Temperature
Statistical Models
Hot Temperature
coefficients
matrices
temperature

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

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title = "Reaction probabilities, resonances, and thermal rate constants for the collinear reactions H + FH and D + FD on a low-barrier surface. Close-coupling and tunneling calculations, variational transition-state theory, and the unified statistical model",
abstract = "We study the collinear H + FH → HF + H and D + FD → DF + D reactions on a potential-energy surface that has twin 1.75 kcal/mol saddle points. We present accurate quantal reaction probabilities over a wide energy range, including three resonance energies and three resonance widths for each isotopic case. From these we calculate accurate quantal rate constants at temperatures 75-7000 K for H + FH and 75-2400 K for D + FD; and we separate out the contributions of the lowest-energy resonance to the low-temperature rates. We present plots of S-matrix phases and eigenphases and Argand diagrams. The accurate quantal results are used to test a wide variety of approximate dynamical results: semiclassical and quantal resonance calculations based on the vibrationally adiabatic model; rate constants calculated by conventional transition-state theory, three versions of variational transition-state theory, and the unified statistical model; and vibrationally adiabatic transmission coefficients.",
author = "Garrett, {Bruce C.} and Truhlar, {Donald G.} and Grev, {Roger S.} and Schatz, {George C} and Walker, {Robert B.}",
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journal = "Journal of Physical Chemistry",
issn = "0022-3654",
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TY - JOUR

T1 - Reaction probabilities, resonances, and thermal rate constants for the collinear reactions H + FH and D + FD on a low-barrier surface. Close-coupling and tunneling calculations, variational transition-state theory, and the unified statistical model

AU - Garrett, Bruce C.

AU - Truhlar, Donald G.

AU - Grev, Roger S.

AU - Schatz, George C

AU - Walker, Robert B.

PY - 1981

Y1 - 1981

N2 - We study the collinear H + FH → HF + H and D + FD → DF + D reactions on a potential-energy surface that has twin 1.75 kcal/mol saddle points. We present accurate quantal reaction probabilities over a wide energy range, including three resonance energies and three resonance widths for each isotopic case. From these we calculate accurate quantal rate constants at temperatures 75-7000 K for H + FH and 75-2400 K for D + FD; and we separate out the contributions of the lowest-energy resonance to the low-temperature rates. We present plots of S-matrix phases and eigenphases and Argand diagrams. The accurate quantal results are used to test a wide variety of approximate dynamical results: semiclassical and quantal resonance calculations based on the vibrationally adiabatic model; rate constants calculated by conventional transition-state theory, three versions of variational transition-state theory, and the unified statistical model; and vibrationally adiabatic transmission coefficients.

AB - We study the collinear H + FH → HF + H and D + FD → DF + D reactions on a potential-energy surface that has twin 1.75 kcal/mol saddle points. We present accurate quantal reaction probabilities over a wide energy range, including three resonance energies and three resonance widths for each isotopic case. From these we calculate accurate quantal rate constants at temperatures 75-7000 K for H + FH and 75-2400 K for D + FD; and we separate out the contributions of the lowest-energy resonance to the low-temperature rates. We present plots of S-matrix phases and eigenphases and Argand diagrams. The accurate quantal results are used to test a wide variety of approximate dynamical results: semiclassical and quantal resonance calculations based on the vibrationally adiabatic model; rate constants calculated by conventional transition-state theory, three versions of variational transition-state theory, and the unified statistical model; and vibrationally adiabatic transmission coefficients.

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