The crystal structures of (Pb0.5Cd0.5)Sr2YCu2O7, (Pb0.5Cd0.5)Sr2(Y0.6C
a0.4)Cu2O7 and (Pb0.5Cd0.5)Sr2(Y0.5Ca0.5)Cu2O7 have been refined by th
e Rietveld method for the X-ray diffraction data. The refinement resul
ts indicate that both Pb and Cd atoms in the (Pb, Cd)O layers and O(3)
atoms are displaced from their ideal sites, and that there is a compl
icated occupation in the (Pb, Cd)O layers, i.e., other cations, such a
s Sr2+, Cu2+ and Ca2+, can occupy the (Pb, Cd) site for these samples.
This may be the reason why the lattice constants do not vary monotoni
cally with the calcium content, and why there exist broad superconduct
ing transitions in the system (Pb0.5Cd0.5)Sr2(Y1-xCax)Cu2O7. The refin
ement results also indicate that, as the calcium content increases, th
e O(2) atoms move close to the CuO2 planes and far from the (Pb, Cd)O
layers. Thus, the increase of calcium content results in charge transf
er from the charge reservoir layer (Pb, Cd)O to the CuO2 planes. This
result is consistent with the bond valence sums of the Cu ions in the
CuO2 planes.