Pressure-Dependent Rate Constant Predictions Utilizing the Inverse Laplace Transform: A Victim of Deficient Input Data
Author(s) -
Dzmitry S. Firaha,
Malte Döntgen,
Benjamin Berkels,
Kai Leonhard
Publication year - 2018
Publication title -
acs omega
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.779
H-Index - 40
ISSN - 2470-1343
DOI - 10.1021/acsomega.8b00311
Subject(s) - laplace transform , inverse laplace transform , inverse , constant (computer programming) , kinetic energy , representation (politics) , reaction rate constant , work (physics) , range (aeronautics) , laplace's method , mathematics , inverse problem , statistical physics , thermodynamics , mathematical analysis , physics , computer science , materials science , quantum mechanics , kinetics , geometry , politics , political science , law , composite material , programming language
k ( E ) can be calculated either from the Rice-Ramsperger-Kassel-Marcus theory or by inverting macroscopic rate constants k ( T ). Here, we elaborate the inverse Laplace transform approach for k ( E ) reconstruction by examining the impact of k ( T ) data fitting accuracy. For this approach, any inaccuracy in the reconstructed k ( E ) results from inaccurate/incomplete k ( T ) description. Therefore, we demonstrate how an improved mathematical description of k ( T ) data leads to accurate k ( E ) data. Refitting inaccurate/incomplete k ( T ), hence, allows for recapturing k ( T ) information that yields more accurate k ( E ) reconstructions. The present work suggests that accurate representation of experimental and theoretical k ( T ) data in a broad temperature range could be used to obtain k ( T , p ). Thus, purely temperature-dependent kinetic models could be converted into fully temperature- and pressure-dependent kinetic models.
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