The document discusses different methods for producing alumina nanoparticles, including sol-gel, spray pyrolysis, and emulsion combustion methods. Sol-gel produces nanoparticles below 30 nm and allows control of particle properties. Spray pyrolysis controls particle size below 400 nm using an ultrasonic spray of precursor solutions decomposed at 700°C. Emulsion combustion combines emulsion and combustion processes to continuously produce hollow spherical alumina nanoparticles 200-800 nm in size with 10 nm shells.