  X-ray diffraction was employed to study the evolution of the charge density
wave (CDW) in CuxTiSe2 as a function of copper intercalation in order to
clarify the relationship between the CDW and superconductivity. The results
show a CDW incommensuration arising at an intercalation value coincident with
the onset of superconductivity at around x=0.055(5). Additionally, it was found
that the charge density wave persists to higher intercalant concentrations than
previously assumed, demonstrating that the CDW does not terminate inside the
superconducting dome. A charge density wave peak was observed in samples up to
x=0.091(6), the highest copper concentration examined in this study. The phase
diagram established in this work suggests that charge density wave
incommensuration may play a role in the formation of the superconducting state.
