DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Simulation and fitting of complex reaction network TPR: The key is the objective function

Abstract

In this research, a method has been developed for finding improved fits during simulation and fitting of data from complex reaction network temperature programmed reactions (CRN-TPR). It was found that simulation and fitting of CRN-TPR presents additional challenges relative to simulation and fitting of simpler TPR systems. The method used here can enable checking the plausibility of proposed chemical mechanisms and kinetic models. The most important finding was that when choosing an objective function, use of an objective function that is based on integrated production provides more utility in finding improved fits when compared to an objective function based on the rate of production. The response surface produced by using the integrated production is monotonic, suppresses effects from experimental noise, requires fewer points to capture the response behavior, and can be simulated numerically with smaller errors. For CRN-TPR, there is increased importance (relative to simple reaction network TPR) in resolving of peaks prior to fitting, as well as from weighting of experimental data points. Using an implicit ordinary differential equation solver was found to be inadequate for simulating CRN-TPR. Lastly, the method employed here was capable of attaining improved fits in simulation and fitting of CRN-TPR when starting with amore » postulated mechanism and physically realistic initial guesses for the kinetic parameters.« less

Authors:
 [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1271860
Alternate Identifier(s):
OSTI ID: 1397364
Grant/Contract Number:  
AC05-00OR22725; ERKCC96
Resource Type:
Accepted Manuscript
Journal Name:
Surface Science
Additional Journal Information:
Journal Volume: 653; Journal ID: ISSN 0039-6028
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Temperature programmed desorption; Temperature programmed reaction; Microkinetics; Transient kinetics; Parameter optimization

Citation Formats

Savara, Aditya Ashi. Simulation and fitting of complex reaction network TPR: The key is the objective function. United States: N. p., 2016. Web. doi:10.1016/j.susc.2016.07.001.
Savara, Aditya Ashi. Simulation and fitting of complex reaction network TPR: The key is the objective function. United States. https://doi.org/10.1016/j.susc.2016.07.001
Savara, Aditya Ashi. Thu . "Simulation and fitting of complex reaction network TPR: The key is the objective function". United States. https://doi.org/10.1016/j.susc.2016.07.001. https://www.osti.gov/servlets/purl/1271860.
@article{osti_1271860,
title = {Simulation and fitting of complex reaction network TPR: The key is the objective function},
author = {Savara, Aditya Ashi},
abstractNote = {In this research, a method has been developed for finding improved fits during simulation and fitting of data from complex reaction network temperature programmed reactions (CRN-TPR). It was found that simulation and fitting of CRN-TPR presents additional challenges relative to simulation and fitting of simpler TPR systems. The method used here can enable checking the plausibility of proposed chemical mechanisms and kinetic models. The most important finding was that when choosing an objective function, use of an objective function that is based on integrated production provides more utility in finding improved fits when compared to an objective function based on the rate of production. The response surface produced by using the integrated production is monotonic, suppresses effects from experimental noise, requires fewer points to capture the response behavior, and can be simulated numerically with smaller errors. For CRN-TPR, there is increased importance (relative to simple reaction network TPR) in resolving of peaks prior to fitting, as well as from weighting of experimental data points. Using an implicit ordinary differential equation solver was found to be inadequate for simulating CRN-TPR. Lastly, the method employed here was capable of attaining improved fits in simulation and fitting of CRN-TPR when starting with a postulated mechanism and physically realistic initial guesses for the kinetic parameters.},
doi = {10.1016/j.susc.2016.07.001},
journal = {Surface Science},
number = ,
volume = 653,
place = {United States},
year = {Thu Jul 07 00:00:00 EDT 2016},
month = {Thu Jul 07 00:00:00 EDT 2016}
}

Journal Article:

Citation Metrics:
Cited by: 23 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Variations in Reactivity on Different Crystallographic Orientations of Cerium Oxide
journal, July 2013

  • Mullins, David R.; Albrecht, Peter M.; Calaza, Florencia
  • Topics in Catalysis, Vol. 56, Issue 15-17
  • DOI: 10.1007/s11244-013-0146-7

Microkinetic simulation of catalytic reactions
journal, October 2000


Molecular-level descriptions of surface chemistry in kinetic models using density functional theory
journal, November 2004

  • Gokhale, Amit A.; Kandoi, Shampa; Greeley, Jeffrey P.
  • Chemical Engineering Science, Vol. 59, Issue 22-23
  • DOI: 10.1016/j.ces.2004.09.038

Comprehensive DFT Study of Nitrous Oxide Decomposition over Fe-ZSM-5
journal, February 2005

  • Heyden, Andreas; Peters, Baron; Bell, Alexis T.
  • The Journal of Physical Chemistry B, Vol. 109, Issue 5
  • DOI: 10.1021/jp040549a

Detailed surface reaction mechanism in a three-way catalyst
journal, October 2001

  • Chatterjee, Daniel; Deutschmann, Olaf; Warnatz, Jürgen
  • Faraday Discussions, Vol. 119, Issue 1
  • DOI: 10.1039/b101968f

Identity and chemical function of gallium species inferred from microkinetic modeling studies of propane aromatization over Ga/HZSM-5 catalysts
journal, May 2010

  • Krishnamurthy, Gowri; Bhan, Aditya; Delgass, W. Nicholas
  • Journal of Catalysis, Vol. 271, Issue 2
  • DOI: 10.1016/j.jcat.2010.02.026

Microkinetic modeling of propane aromatization over HZSM-5
journal, October 2005


Numerical simulation of temperature-programmed reaction data: an application in surface chemical kinetics
journal, January 1998

  • Ellis, Gareth; Sidaway, James; McCoustra, Martin R. S.
  • Journal of the Chemical Society, Faraday Transactions, Vol. 94, Issue 17
  • DOI: 10.1039/a803766c

Microkinetic Simulation of Temperature-Programmed Desorption
journal, March 2013

  • Wang, Chia-Ching; Wu, Jyun-Yi; Jiang, Jyh-Chiang
  • The Journal of Physical Chemistry C, Vol. 117, Issue 12
  • DOI: 10.1021/jp309394p

Recent advances in numerical modeling of catalytic monolith reactors
journal, August 2005


A hybrid genetic algorithm for efficient parameter estimation of large kinetic models
journal, November 2004


Three-way catalytic converter modelling. Numerical determination of kinetic data
book, January 1998

  • Dubien, C.; Schweich, D.
  • Catalysis and Automotive Pollution Control IV, Proceedings of the Fourth International Symposium (CAPoC4)
  • DOI: 10.1016/S0167-2991(98)80896-3

Least squares criteria for the kinetic evaluation of thermoanalytical experiments. Examples from a char reactivity study
journal, February 2001

  • Várhegyi, Gábor; Szabó, Piroska; Jakab, Emma
  • Journal of Analytical and Applied Pyrolysis, Vol. 57, Issue 2
  • DOI: 10.1016/S0165-2370(00)00113-3

Evaluation of kinetic parameters from TVA data. A computer simulation approach
journal, December 1974


Mathematical Modeling of Nitrogen Desorption from an Iridium Surface: A Study of the Effects of Surface Structure and Subsurface Oxygen1
journal, January 2001

  • Kurkina, E. S.; Semendyaeva, N. L.; Boronin, A. I.
  • Kinetics and Catalysis, Vol. 42, Issue 5, p. 703-717
  • DOI: 10.1023/A:1012383900909

Análise estatística e optimização de perfis de redução termoprogramada (TPR)
journal, January 2006


Mathematical considerations for nonisothermal kinetics in thermal decomposition
journal, March 2005

  • Caballero, José A.; Conesa, Juan A.
  • Journal of Analytical and Applied Pyrolysis, Vol. 73, Issue 1
  • DOI: 10.1016/j.jaap.2004.12.003

Nonlinear parameter estimation: A case study comparison
journal, January 1986


A general strategy for parameter estimation in differential—algebraic systems
journal, May 1993


Performance comparison of parameter estimation techniques for unidentifiable models
journal, May 2014


A Program for Fitting Rate Constants in Gas Phase Chemical Kinetics Models
journal, September 1984

  • Byrne, G. D.; DeGregoria, A. J.; Salane, D. E.
  • SIAM Journal on Scientific and Statistical Computing, Vol. 5, Issue 3
  • DOI: 10.1137/0905046

Application of stepwise regression for dynamic parameter estimation
journal, October 2014


Mathematical modelling of chemical processes-obtaining the best model predictions and parameter estimates using identifiability and estimability procedures
journal, October 2011

  • McLean, Kevin A. P.; McAuley, Kim B.
  • The Canadian Journal of Chemical Engineering, Vol. 90, Issue 2
  • DOI: 10.1002/cjce.20660

ICTAC Kinetics Committee recommendations for performing kinetic computations on thermal analysis data
journal, June 2011

  • Vyazovkin, Sergey; Burnham, Alan K.; Criado, José M.
  • Thermochimica Acta, Vol. 520, Issue 1-2
  • DOI: 10.1016/j.tca.2011.03.034

First-Principles Analysis of Structure Sensitivity in NO Oxidation on Pt
journal, January 2015

  • Bray, J. M.; Schneider, W. F.
  • ACS Catalysis, Vol. 5, Issue 2
  • DOI: 10.1021/cs501783q

A Generalized Approach for Predicting Coverage-Dependent Reaction Parameters of Complex Surface Reactions:  Application to H 2 Oxidation over Platinum
journal, October 1999

  • Park, Young K.; Aghalayam, Preeti; Vlachos, Dionisios G.
  • The Journal of Physical Chemistry A, Vol. 103, Issue 40
  • DOI: 10.1021/jp9916485

DFT comparison of intrinsic WGS kinetics over Pd and Pt
journal, December 2014


Accurate coverage-dependence incorporated into first-principles kinetic models: Catalytic NO oxidation on Pt (111)
journal, February 2012


The compensation effect and the manifestation of lateral interactions in thermal desorption spectroscopy
journal, February 1988


Thermal desorption analysis: Comparative test of ten commonly applied procedures
journal, July 1990


Temperature-Programmed Desorption and Reaction: Applications to Supported Catalysts
journal, June 1983


Review and evaluation of the approximations to the temperature integral
journal, January 2007


A New Method of Analysing Temperature-Programmed Desorption (TPD) Profiles Using an Extended Integral Equation
journal, November 1997


Computational aspects of kinetic analysis
journal, July 2000


Computational aspects of kinetic analysis.
journal, July 2000


Computational aspects of kinetic analysis.
journal, July 2000


Computational aspects of kinetic analysis.
journal, July 2000


Elucidation of Intermediates and Mechanisms in Heterogeneous Catalysis Using Infrared Spectroscopy
journal, April 2014


An algorithm for the identification and estimation of relevant parameters for optimization under uncertainty
journal, December 2014


Reactions of methanol on W(100) and W(100)-(5 $times; 1)C surfaces
journal, April 1980


Analysing methods for thermal desorption spectra
journal, May 1997


ICTAC Kinetics Committee recommendations for collecting experimental thermal analysis data for kinetic computations
journal, August 2014

  • Vyazovkin, Sergey; Chrissafis, Konstantinos; Di Lorenzo, Maria Laura
  • Thermochimica Acta, Vol. 590
  • DOI: 10.1016/j.tca.2014.05.036

Sample controlled thermal analysis and kinetics
journal, March 2005

  • Criado, J. M.; Pérez-Maqueda, L. A.
  • Journal of Thermal Analysis and Calorimetry, Vol. 80, Issue 1
  • DOI: 10.1007/s10973-005-0609-6

Aims and methods in non-isothermal reaction kinetics
journal, May 2007


Nonlinear parameter estimation technique for kinetic analysis of thermal desorption data
journal, August 1996


Parametric sensitivity of complex temperature-programmed desorption, reaction and reduction
journal, May 1989


A new method for the analysis of heterogeneity using a modified temperature-programmed desorption technique
journal, January 1992


Temperature programming for isothermal desorption rate measurements
journal, November 1992

  • DeAngelis, Michael A.; Anton, A. Brad
  • Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 10, Issue 6
  • DOI: 10.1116/1.577810

Analysis of temperature programmed desorption (TPD) data for the characterisation of catalysts containing a distribution of adsorption sites
journal, January 2008

  • Barrie, Patrick J.
  • Physical Chemistry Chemical Physics, Vol. 10, Issue 12
  • DOI: 10.1039/b717430f

Approximate simulation of coupled fast and slow reactions for stochastic chemical kinetics
journal, October 2002

  • Haseltine, Eric L.; Rawlings, James B.
  • The Journal of Chemical Physics, Vol. 117, Issue 15
  • DOI: 10.1063/1.1505860

Partitioning ODE systems with an application to air pollution models
journal, September 2001


Direct and adjoint sensitivity analysis of chemical kinetic systems with KPP: Part I—theory and software tools
journal, November 2003


A predictor–corrector algorithm for the coupling of stiff ODEs to a particle population balance
journal, May 2009

  • Celnik, Matthew; Patterson, Robert; Kraft, Markus
  • Journal of Computational Physics, Vol. 228, Issue 8
  • DOI: 10.1016/j.jcp.2008.12.030

Implicit–explicit Runge–Kutta methods applied to atmospheric chemistry-transport modelling
journal, September 2000


Explicit methods for stiff ODEs from atmospheric chemistry
journal, September 1995


Benchmarking stiff ode solvers for atmospheric chemistry problems-I. implicit vs explicit
journal, October 1997


Benchmarking stiff ode solvers for atmospheric chemistry problems II: Rosenbrock solvers
journal, October 1997


Gauss–Seidel Iteration for Stiff ODES from Chemical Kinetics
journal, September 1994

  • Verwer, J. G.
  • SIAM Journal on Scientific Computing, Vol. 15, Issue 5
  • DOI: 10.1137/0915076

Efficient formulation of the stochastic simulation algorithm for chemically reacting systems
journal, September 2004

  • Cao, Yang; Li, Hong; Petzold, Linda
  • The Journal of Chemical Physics, Vol. 121, Issue 9
  • DOI: 10.1063/1.1778376

A constant-time kinetic Monte Carlo algorithm for simulation of large biochemical reaction networks
journal, May 2008

  • Slepoy, Alexander; Thompson, Aidan P.; Plimpton, Steven J.
  • The Journal of Chemical Physics, Vol. 128, Issue 20
  • DOI: 10.1063/1.2919546

Quasiequilibrium approximation of fast reaction kinetics in stochastic biochemical systems
journal, May 2005

  • Goutsias, John
  • The Journal of Chemical Physics, Vol. 122, Issue 18
  • DOI: 10.1063/1.1889434

Overcoming stiffness in stochastic simulation stemming from partial equilibrium: A multiscale Monte Carlo algorithm
journal, October 2005

  • Samant, A.; Vlachos, D. G.
  • The Journal of Chemical Physics, Vol. 123, Issue 14
  • DOI: 10.1063/1.2046628

Works referencing / citing this record:

Microkinetic simulation and fitting of the temperature programmed reaction of methanol on CeO2(111): H2 and H2O + V production
journal, January 2020


A Hybrid Kinetic Analysis of the Biosolids Pyrolysis using Thermogravimetric Analyser
journal, December 2018

  • Patel, Savankumar R.; Kundu, Sazal K.; Halder, Pobitra K.
  • ChemistrySelect, Vol. 3, Issue 47
  • DOI: 10.1002/slct.201802957

Theoretical Parameter-Free Analysis Model for Temperature-Programmed Desorption (TPD) Spectra
journal, February 2020


TAPsolver: A Python package for the simulation and analysis of TAP reactor experiments
preprint, January 2020