There are several methods for synthesizing germanium nanostructures, including: 1. Chemical Vapor Deposition (CVD): This involves the deposition of germanium atoms on a substrate to form nanowires. 2. Solution-Based Methods: These involve the reduction of germanium salts in solution to produce nanoparticles. 3. Physical Vapor Deposition (PVD): This method is used to create thin films of germanium on substrates by evaporating and condensing the material.