Here,
we analyze changes in the optical spectra of activated copper-exchanged
zeolites during methane activation with the Tamm–Dancoff time-dependent
density functional theory, TDA-DFT, while using the ωB2PLYP
functional. Two active sites, [Cu2O]2+ and [Cu3O3]2+, were studied. For [Cu2O]+, the 22 700 cm–1 peak is
associated with μ-oxo 2p → Cu 3d/4s charge transfer.
Of the [Cu2O]2+ methane C–H activation
intermediates that we examined, only [Cu–O(H)(H)–Cu]
and [Cu–O(H)(CH3)–Cu] have spectra that match
experimental observations. After methane activation, the μ-oxo
2p orbitals lose two electrons and become hybridized with methanol
C 2p orbitals and/or H 1s orbitals. The frontier unoccupied orbitals become more Cu
4s/4p Rydberg-like, reducing overlap with occupied orbitals. These
effects cause the disappearance of the 22 700 cm–1 peak. For [Cu3O3]2+, the exact
structures of the species formed after methane activation are unknown.
Thus, we considered eight possible structures. Several of these provide
a significant decrease in intensity near 23 000–38 000
cm–1, as seen experimentally. Notably, these species
involve either rebound of the separated methyl to a μ-oxo atom
or its remote stabilization at a Brønsted acid site in exchange
for the acidic proton. These spectral changes are caused by the same
mechanism seen in [Cu2O]2+ and are likely responsible
for the observed reduced intensities near 23 000–38 000
cm–1. Thus, TDA-DFT calculations with ωB2PLYP
provide a molecular-level understanding of the evolution of copper-oxo
active sites during methane-to-methanol conversion.