Substitution of calcium for strontium in LnSr(2-x)Ca(x)Cu(2)GaO(7) (Ln = La
, Pr, Nd, Gd, Ho, Er, Tm, and Yb) materials at ambient pressure and 975 deg
rees C results in complete substitution of calcium for strontium in the lan
thanum and praseodymium systems and partial substitution in the other lanth
anide systems. The calcium saturation level depends on the size of the Ln c
ation, and in all cases, a decrease in the lattice parameters with calcium
concentration was observed until a common, lower bound, average A-cation si
ze is reached. Site occupancies from X-ray and neutron diffraction experime
nts for LnSr(2-x)Ca(x)Cu(2)GaO(7) (x = 0 and x = 2) confirm that the A-cati
ons distribute between the two blocking-layer sites and the active-layer si
te based on size. A quantitative link between cation distribution and relat
ive site-specific cation enthalpy for calcium, strontium, and lanthanum wit
hin the gallate structure is derived. The cation distribution in other simi
lar materials can potentially be modeled.