Abstract: Modified zirconia fine particles which are stable in an acidic region as well as in an alkaline region, and which may be readily adjusted in refractive index in a predetermined range are disclosed. Also disclosed is a substrate with a hard coat film excellent in adhesiveness with the substrate, abrasion resistance, scratch strength, pencil hardness and the like without interference fringes and a coating solution which may form the hard coat film. The substrate with a hard coat film is composed of composite oxide particles formed on at least one surface of the substrate and a matrix component, wherein the composite oxide particles are composite oxide particles having a core-shell structure composed of a core formed from zirconium oxide and a shell formed from antimony pentoxide and/or silica.

Abstract: The present invention provides modified zirconia fine particles which are stable in an acidic region as well as in an alkaline region, and which may be readily adjusted in refractive index in a predetermined range. The present invention further provides a substrate with a hard coat film excellent in adhesiveness with the substrate, abrasion resistance, scratch strength, pencil hardness and the like without interference fringes and a coating solution which may form the hard coat film. The substrate with a hard coat film is composed of composite oxide particles formed on at least one surface of the substrate and a matrix component, wherein the composite oxide particles are composite oxide particles having a core-shell structure composed of a core formed from zirconium oxide and a shell formed from antimony pentoxide and/or silica.