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Although the present homo- and heterogeneous catalysts show high performance in methane–methanol conversion, a computational approach for the investigation of the reaction mechanism is highly expected to contribute to innovative catalyst design. This chapter highlights transition metal oxo species, metalloenzymes, and metal zeolites, that have the potential to activate the strong C–H bond of methane (≃105 kcal mol−1). The given general principle is extracted from these model studies, and the computational study would propose a reasonable catalyst design beyond a chemist’s intuition.

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