The present invention, in the sol-gel precursor solution composition for forming a good controllability PZTN complex oxide , provides a process for the preparation of the PZTN complex oxide by the method, and the precursor solution of the precursor solution. Method of producing the precursor solution, Pb, Zr, a method for manufacturing a precursor solution for forming a PZTN complex oxide by the sol-gel process for the Ti and Nb as constituent elements, at least a carboxylic titanate, dissolved in an organic solvent having an alkoxy group and, a step of forming a first solution, heating the first solution treatment, with the removal of the crystal water of the carboxylic titanate, and titanate by the carboxylic ligand substitution reaction with the organic solvent having the alkoxy group forming a lead alkoxide, and the alkoxide and lead to form a second solution, the process comprising, in the second solution, a mixture of a metal alkoxide of at least one member selected from other than Pb Zr, Ti and Nb , Pb, Zr, Ti, and each step of forming a third solution containing a metal alkoxide of Nb, addition of water to the third solution, performing the hydrolysis-condensation of a metal alkoxide, a PZTN complex oxide and a step of forming a fourth solution containing the precursor.
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