Investigations on the design and engineering of candidate substrate materials suitable for high T_{c} superconductor thin film deposition and applications have yielded several exciting new hosts such as Ba(Mg_{1/3}Ta_{2/3})O_{3}, Sr(Al_{1/2}Ta_{1/2})O_{3}, and Sr(Αl_{1/2}Νb_{1/2})O_{3}. Dielectric properties, thermal expansion coefficients, melting temperatures and growth feasibility were tested for a wide range of substrate materials and solid solutions. These complex perovskite crystals and their associated solid solutions provide new options for ultra low loss, low permittivity substrates with close structural and thermal matching to the YΒa_{2}Cu_{3}O_{7-δ}. Several new materials have been tested for high Τ_{c} superconductor film depositions. Α laser heated pedestal growth system has been used as an essential tool in producing single crystals for testing. Development on the predictive capability of the dielectric constant of ionic solids, by improving Shannon's approach, will also be discussed in this paper.
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