Please note that P, the permutation matrix, was equal to the identity matrix in this problem. A mechanism for the decomposition reaction on clean and modified Fe(100) surfaces which accounts for these observations is proposed. This video explains how to perform LU decomposition. The presence of preadsorbed four-fold hollow O atoms reduces the amount of methoxy which can be formed on the surface, poisoning the surface for the decomposition of methanol. The thermal stability of the methoxy increases as the O coverage is increased. ![]() A cluster tree TI is used in the construction of a hierarchy of block. The decomposition of CH 3OH involves a stable methoxy intermediate for both decomposition products. LU-factorization of the complete system matrix using hierarchical matrix. These preadsorbed O atoms selectively poison the decomposition of methanol into CO, which dominates on the clean Fe(100) surface, and open up a new reaction pathway which results in the formation of formaldehyde. Chemisorbed O atoms following this treatment are located on four-fold hollow sites. The Fe(100) surface was modified by adsorption of O 2 at 113 K, heating to 923 K, followed by cooling back to 113 K. Decomposition of methanol on the clean and oxygen-modified Fe(100) surfaces has been studied, using high resolution electron energy loss spectroscopy (HREELS) and temperature programmed reaction spectroscopy (TPRS).
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