A limited quantum chemistry approach has been used to examine changes
to the electric-field gradient at oxygen sites in rare-earth barium co
pper oxides (RBCO) due to a bonded muon (or hydrogen). Results are rep
orted for an all electron, extended basis set calculation for an OMu-
molecule which is embedded in various point charge clusters to simulat
e the RBCO crystal environment. Differences between the gradients for
O2- and OMu- are examined for five likely muon bond sites. In each cas
e the muon significantly modifies the calculated gradient.