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In this work we propose a symmetry projection approach to build a rovibrational basis formethane. In our method, symmetry adapted functions are obtained by simultaneous diagonalizationof a set of commuting operators, whose representation is given in terms of direct products ofWigner’s D functions and vibrational matrix representations provided by a local scheme. Theproposed approach is general and permits to obtain in a systematic fashion an orthonormal setof symmetry-projected functions, with good total angular momentum, and carrying the irreduciblerepresentations of the molecular symmetry group

Symmetry projection of the rovibrational functions of methane