Temperature dependence of carbon-13 kinetic isotope effects of importance to global climate change

We report here a theoretical study of the ¹³C kinetic isotope effect (KIE) and its temperature dependence for the reaction OH + CH₄ → H₂O + CH₃, the major sink of atmospheric methane in the troposphere. The KIE values at various atmospherically significant temperatures were determined by direct dynamics using variational transition state theory with multidimensional tunneling contributions (VTST/MT). The potential energy surfaces (PESs) were generated by hybrid density functional theory as well as by recently developed doubly hybrid density functional theory methods. Comparisons of our calculated KIEs with experimental data and theoretical values in the literature reveal the critical contributions due to multidimensional tunneling and torsion anharmonicity as well as the critical issue of the choice of internal rotational axis.