A review of multiscale modeling of metal-catalyzed reactions: Mechanism development for complexity and emergent behavior
Summary (1 min read)
4.3 Elementary rate constant estimation from semi-empirical methods
- While semi-empirical methods are rarely as accurate as quantum mechanical approaches, they offer an inexpensive approach to estimating kinetic parameters.
- Essentially, this model offers a way to predict the activation energy of a reaction using the energy of reaction, from the correlation developed from similar reactions that belong to the same homologous series (these relationships have been used for free energies as well as enthalpies).
- This can be a valuable analysis for catalyst design by understanding trends of intermediate binding energy on different catalyst surfaces.
- In doing so, the refined parameters may not be unique (Prasad et al., 2009) but at least are physically relevant.
- As an example of a semi-empirical based microkinetic model addressing structure sensitivity, the CO oxidation reaction is considered (Wang et al., 2011, submitted).
11. Free energy calculations and accelerated molecular dynamics for catalysis in condensed phases
- The majority of first-principle studies in catalysis have considered reactions on metals in vacuo.
- While the aforementioned techniques have successfully been applied to enzymatic and liquid phase reactions, their extension to heterogeneous gas-solid and liquid-solid catalytic reactions is just emerging (Vlachos and Caratzoulas, 2010).
- This review paper described recent developments and a perspective in multiscale modeling with focus on reaction chemistry and mechanism, i.e., at phenomena spanning from the electronic up to and including the mesoscopic scale.
- Hierarchical multiscale modeling was discussed as an approach to coping with the complexity of realistic systems.
Surface Step:Total Sites Ratio
- Multiple scales (b) Ei = 41 kcal/mol (c) Ei = 23 kcal/mol (a) Ei = 54 kcal/mol Intrinsic heterogeneity in adsorbate distribution catalyst sites Many-body effects Multiple phases Catalyst dynamics reconstruction isomerization edge corner support (111) (100) Missing row reconstruction on (110) plane 71 a) b) Figure 4. Schematic of sample thermochemical property evolution with elementary reaction progression (a).
- (a) Flow of information in a multiscale kinetic Monte Carlo (KMC) framework: density functional theory (DFT) provides the vibrational frequencies of adsorbates and transition states.
A perspective on multiscale modeling of mechanism development
- Estimation of thermochemistry and kinetics via hierarchical multiscale methods Computation-driven catalyst design and discovery of materials with emergent behavior Uncertainty on catalyst design, particle effects, and structure sensitivity of reactions.
- Free energies in solution and solvent effects in catalytic reactions.
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"A review of multiscale modeling of ..." refers methods in this paper
...At the finer time-scale (order of several nanoseconds), molecular dynamics (MD) simulations were performed using the embedded atom method potential (Daw and Baskes, 1984; Foiles et al., 1986)....
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"A review of multiscale modeling of ..." refers methods in this paper
...A more recent development in this front is Parrinello’s metadynamics method (Laio and Parrinello, 2002), a very promising approach that deserves special mention and for that we shall return to it shortly....
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"A review of multiscale modeling of ..." refers methods in this paper
...A popular variant of it is called steered MD and is based on Jarzynksi’s equality, which allows the calculation of potentials of mean force from non-equilibrium trajectories (Jarzynski, 1997)....
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