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Boreskov Institute of Catalysis of the Siberian Branch of Russian ...

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OP-II-2MONTE CARLO SIMULATION OF ADSORPTION ON SUPPORTEDNANOPARTICLESA.V. Myshlyavtsev 1,2 , P.V. Stishenko 11 Omsk State Technical University, Omsk, Russia2 <strong>Institute</strong> <strong>of</strong> Hydrocarbons Processing SB RAS, Omsk, RussiaIntroductionMost <strong>of</strong> commercial catalysts consist <strong>of</strong> nanometer scale particles (1-100 nm) depositedon a porous support. Experimental researches <strong>of</strong> catalytic processes are ra<strong>the</strong>r expensive andhard to conduct and <strong>of</strong>ten <strong>the</strong>re is no way to make direct measurements <strong>of</strong> interestingparameters. For successful interpretation <strong>of</strong> obtained results suitable ma<strong>the</strong>matical models arerequired [1].The computer model for simulation <strong>of</strong> metallic nanoparticles and adsorption on <strong>the</strong>irsurface has been developed. This model can be used for investigation <strong>of</strong> steady state <strong>of</strong>supported nanocrystals and adsorbate systems. The Metropolis algorithm is employed toarchive <strong>the</strong> configuration with minimal potential energy. Using this approach it is possible tosimulate bigger, than molecular dynamics allows, particles in a time period sufficient forputting <strong>the</strong> system in <strong>the</strong>rmodynamic equilibrium. For evaluation <strong>of</strong> <strong>the</strong> system energy <strong>the</strong>model can use <strong>the</strong> many-body potentials. Here we have chosen <strong>the</strong> tight-binding secondmoment approximation (TB-SMA) potential which shows ra<strong>the</strong>r good agreement wi<strong>the</strong>xperiments for fcc metals in case if sufficiently long interaction range is taken into account[2]. The model allows to simulate systems with up to several thousands atoms deposited inany type <strong>of</strong> crystal lattice. Type <strong>of</strong> adsorption can be specified by spatial configuration <strong>of</strong>adsorbate, particle and support atoms given in internal coordinates. It is possible to simulateadsorption on different faces, sites or adsorption near different defects.ModelIn TB-SMA potential interaction between atoms depends on <strong>the</strong>ir type and distancebetween <strong>the</strong>m. For metals it is reasonable to suppose that atoms can be located only in cells <strong>of</strong>crystal lattice and hence <strong>the</strong>re is a finite set <strong>of</strong> all possible distances. So one can preliminarilycalculate terms <strong>of</strong> TB-SMA equation for all pairs <strong>of</strong> atom types and for all distances up to cut<strong>of</strong>f radius, where interaction values become vanishingly small. On that assumption we haveused <strong>the</strong> lattice gas model for representation <strong>of</strong> particle atoms spatial distribution. Thisallowed to significantly speed up interaction energy evaluation and neighbours enumeration –<strong>the</strong> most expensive parts <strong>of</strong> simulation in terms <strong>of</strong> computational resources. Because <strong>of</strong> lattice77

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