Heterogeneous Catalyst Design Using Stochastic Optimization Algorithms

We describe the application of two stochastic optimization algorithms to heterogeneous catalyst design. In particular, we discuss the optimal design of a two-component catalyst for the diffusion limited A + B --> 0 and A + B2 --> 0 reactions in which each of the reactants are adsorbed specifically on one of the two distinct catalytic sites. The geometric arrangement of the catalytic sites that maximizes the catalyst activity is determined by the use of a genetic algorithm and a simulated annealing algorithm. In the case of the A + B --> 0 reaction, it is found that the catalyst surface with the optimal active site distribution, that of a checkerboard, is approximately 25% more active than a random site distribution. A similar increase in catalytic activity is obtained for the A + B2 --> 0 reaction. While both the genetic and simulated annealing algorithms obtain identical optimal solutions for a given reaction, the simulated annealing algorithm is shown to be more efficient.

[1]  L. Ingber Very fast simulated re-annealing , 1989 .

[2]  Claude R. Henry,et al.  Surface studies of supported model catalysts , 1998 .

[3]  Bruce E. Rosen,et al.  Genetic Algorithms and Very Fast Simulated Reannealing: A comparison , 1992 .

[4]  A. Davidlogan Steady-state co oxidation kinetics over the Pd(100) single crystal surface and the c(2 × 2)-Sn/Pd(100) bimetallic surface alloy , 1992 .

[5]  E. Wicke,et al.  Unstable and Oscillatory Behaviour in Heterogeneous Catalysis , 1980 .

[6]  Dan Luss,et al.  Infrared Thermographic Screening of Combinatorial Libraries of Heterogeneous Catalysts , 1996 .

[7]  L. Gladden,et al.  Development of a Genetic Algorithm for Molecular Scale Catalyst Design , 1997 .

[8]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[9]  Heterogeneous catalysis on a disordered surface. , 1995, Physical review letters.

[10]  M. Bäumer,et al.  Metal deposits on well-ordered oxide films , 1999 .

[11]  L. Gladden,et al.  Relating Metal Particle Geometry to the Selectivity and Activity of Supported-Metal Catalysts: A Monte Carlo Study , 1998 .

[12]  D. Goodman,et al.  Kinetics of CO oxidation on Cu/Rh(100) model bimetallic catalysts , 1994 .

[13]  H. Szu Fast simulated annealing , 1987 .

[14]  G. Somorjai,et al.  Surface Science Approach to Modeling Supported Catalysts , 1997 .

[15]  P. Schultz,et al.  Combinatorial approaches to materials science , 1998 .

[16]  Head,et al.  Kinetics of catalysis with surface disorder. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  R. Ziff,et al.  Kinetic phase transitions in an irreversible surface-reaction model. , 1986, Physical review letters.

[18]  Redner,et al.  Fluctuation-dominated kinetics in diffusion-controlled reactions. , 1985, Physical review. A, General physics.

[19]  Scott Kirkpatrick,et al.  Optimization by simulated annealing: Quantitative studies , 1984 .

[20]  K. H. Lee,et al.  A novel microfabricated Pd/SiO2 model catalyst for the hydrogenation of 1,3-butadiene , 1994 .