A careful search for the ordering of Cu(1)-O-Cu(1) monomers in a ''her
ringbone'' (HB) superstructure with the unit cell 2 root 2a0 x root 2b
(0) x c(0) at x=0.32(2) and x=0.37(2) yielded negative results. The up
per limit for the partial volume of this phase in a slowly cooled crys
tal with x=0.37(2) is estimated as 0.01%. A short-range ordering of ch
ain fragments like in Ortho-II phase with an average chain length of t
hree oxygen atoms is found instead while keeping the tetragonal symmet
ry. The HE superstructure is found in as-grown crystals with x similar
to 0.20, but it has not been observed in slowly cooled crystals with
x=0.23(3). Possible mechanisms of the HE phase formation are discussed
.