Methods for integrating wide-gap semiconductors with synthetic diamond substrates are disclosed. Diamond substrates are created by depositing synthetic diamond onto a nucleating layer deposited or formed on a layered structure including at least one layer of gallium nitride, aluminum nitride, silicon carbide, or zinc oxide. The resulting structure is a low stress process compatible with wide-gap semiconductor films, and may be processed into optical or high-power electronic devices. The diamond substrates serve as heat sinks or mechanical substrates.