TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Method: The step (b) is conducted at a temperature of 700-1500 degrees C and a pressure of 300-950 mbar. The step (c) is performed at a temperature of 300-500 degrees C for 60-180 minutes. Preferred Components: The titanium precursor and/or the yttrium precursor are an alkoxide, acetylacetonate, acetate, carbonyl and/or oxyalkyl. The yttrium precursor is yttrium acetate. The titanium precursor is titanium alkoxide, preferably titanium tetraisopropoxide and/or titanium butoxide. The additional compound that acts as the: solvent is an alcohol, a ketone, an ester and/or an aromatic compound, preferably ethyl acetate and/or xylene; as the absorbent of laser radiation is sulfur hexafluoride, methane and/or ethylene; or the absorbent of laser radiation and solvent is isopropanol and/or butanol. The carbon layer has an average thickness of 1-2 nm. The grains of the mixed oxide powder: include yttrium titanate (Y2Ti2O7) and/or yttrium titanium oxide (Yti2O5); and has a single phase structure. The grains of the mixed oxide powder have an average size of 10-400 (preferably 10-80) nm. EXAMPLE - 10 g Liquid titanium tetraisopropoxide and 9 g yttrium acetate powder, as precursors, were mixed with 300 ml isopropanol (acting as absorbent for laser radiation and solvent). The resulting solution was agitated for 1 hour with a magnetic stirrer to obtain a sol-gel solution. The sol-gel solution was nebulized in the form of an aerosol. Nebulization was performed using a piezoelectric pellet leading to droplet formation. A flow rate of 4 l/minute of carrier gas consisting of argon aerosol duct formed through an injection nozzle. Argon was injected into the space between the injection nozzle and the containment nozzle to create a gas flow containment around the flame pyrolysis. The stream of droplets was then conveyed into a pyrolysis chamber comprising an atmosphere of argon at a pressure of 900 mbar, and the allowed to interaction with a laser beam. After 1 hour of laser pyrolysis, 11 g of carbon powder consisting of mixed oxide grains of yttrium and titanium coated with a carbon layer was obtained. The average thickness of the carbon layer was 1 nm. The carbon powder was then subjected to additional heat treatment in air at 500 degrees C for 1 hour to remove the carbon layer and to obtain 10 g of a mixed powder of yttrium oxide and titanium.