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Pressure-Dependent Rate Constant Predictions Utilizing the Inverse Laplace Transform: A Victim of Deficient Input Data
- Source :
- ACS Omega
- Publication Year :
- 2018
-
Abstract
- 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.
- Subjects :
- Physics
Work (thermodynamics)
010304 chemical physics
General Chemical Engineering
Mathematical analysis
Inverse Laplace transform
General Chemistry
010402 general chemistry
Kinetic energy
01 natural sciences
Article
0104 chemical sciences
Transition state theory
Reaction rate constant
0103 physical sciences
Master equation
Curve fitting
Representation (mathematics)
Subjects
Details
- ISSN :
- 24701343
- Volume :
- 3
- Issue :
- 7
- Database :
- OpenAIRE
- Journal :
- ACS omega
- Accession number :
- edsair.doi.dedup.....fec2c81418e04c396d87a0dd96420445