High-quality single crystals of YBCO:Ca up to 2x2cm in size have been grown
in non-contaminating yttria or BaZrO3 crucibles from the eutectic self-flu
x system with BaF2 additive. A cluster model is proposed to describe the fu
nction of F- ions in the high temperature solution. The distribution coeffi
cient of Ca between the solid and the liquid phases is much less than1, whi
ch indicates that crystals with a Ca doping level > 0.22 are thermodynamica
lly unfavourable. The preference of six-fold co-ordination for Ca substitut
ed in Y-sites at low doping concentration has little effect on the lattice
parameters, but it distorts the conductive Cu-O layers. At high doping conc
entration, a small fraction of Ca also substitutes into Ba-sites near the C
u-O chains. We propose a modified model for estimating the effective hole c
oncentration which fits better the universal parabolic variation of T-C.