c-axis oriented high temperature superconductors are deposited onto new compositions of garnets using pulsed laser deposition (PLD) with conditions of 85 mTorr of oxygen partial pressure; a block temperature of 730.degree. C., a substrate surface temperature of 790.degree. C. and a laser fluence of 1 to 2 Joules/cm.sup.2 at the target, a laser repetition rate of 10 Hz and a target to substrate distance of 7 cm and in which the a and b lattice parameters of the new compositions of garnets exhibit a mismatch of less than 7 percent with the a and b lattice parameters of the HTSC.