Polymerizable composition, a cured product obtained therefrom and the use of these materials

Providing near-infrared wavelengths having excellent transparency and heat resistance of the polymerizable composition, and its method of preparation. Polymerizable composition comprising (a) in the presence of an acid or a base, the compound silicate compound of the formula [1] is selected from the diaryl formula [2] or formula [2B] silane polycondensation reactive silicone compound obtained; and (b) at least one compound selected from alkenyl groups and acryloyl groups polymerizable (meth) having, wherein Ar1 and Ar2 are independently optionally substituted C1-C6 alkyl phenyl, X is a group may be hydrolysis condensation reaction, and wherein Ar3 by at least one polymerizable double bond group substituted with a naphthyl or anthryl, or wherein Ar3 addition to having at least one vinyl group by an outer the polymerizable double bond group may be substituted with a phenyl group, or having at least two polymerizable double bonds and a substituted phenyl group. Ar3-SiX3 [2b].