the absorption and scattering spectrum of nanoparticle of noble metal like Gold and Silver, Will intensify peak in interaction with electromagnetic field, because of surface plasmon resonance in nanoparticle. wavelength of localized surface plasmon resonance (LSPR) Will be changed with efficient parameter like, material, size, shape and environment outline the nanoparticle. changes investigation of resonance wavelength toward Refractive Index variation of outline environment of plasmonic nanoparticle results sensing Applications. this research aims study and in first process, Spectrum of LSPR has been simulated for gold and silver spherical nanoparticeles with radiuses 10 and 5 nm to 55 nm in outline environment with various RI by FDTD. Plasmon resonance frequency has been computed by suitable mesh and mast adjustment with mie theory. LSPR relocation toward variation of environment RI have been computed and RIS diagram of have particle toward environment RI variations has been plotted by results of these simulations. in second process, Plasmonic properties of Au and Ag shell and core-shell nanostructures with different size and diameter has been investigated in out line environment with different Refractive Index 1 and 1.33 afterward, plasmon resonance frequency for these nanostructures, shell and core-sell have been investigated. In different environment gold (silver) nanoshell with outsider radius 20 nm and 12 (17) nm Diameter, has plasmonic spectrum identic gold (silver) nanosphere. Using nanoshell behavior for gold and silver core-shell nanostructure with specific shell diameter two peak moods for shell and core in plasmonic spectrum has been observed. Afterward relocation of LSPR wavelength has been computed toward refractive index variations for each nanoparticle. Afterward, sensitive and insensitive nanoparticle has been characterized toward refractive index variation of environment. in third process, LSPR spectrum in chiral gold nanoparticle with various number and distance between particle 0.5 to 20 nm has been computed in water RI. Afterward, relocation of LSPR wavelength toward variation number and distance of nanoparticle was investigated. Finally, single particle plasmonic efficient distance (SPED) for spherical gold nanoparticle has been determinate by, computing field intensity in LSPR wavelength for 3 nanoparticles in chain.