If you want anyone to help you, you will have to provide: -a correctly labelled spectrum. Right now this might be vibrational absorption in which case the "Axis Title" might either be cm-1 or THz while it would also be possible to be electronic/plasmon excitation in which case the units would be nm -at least a rough idea about your nanoparticles: ligand saturated/pure gold assumed/measured in solution/dry measurement/...
In this case Au nanoparticles may be in nanorod shape. Where one can get clear two peak in this spectral band. Broadening in peaks indicates the large size of nanoparticles. Some other shape may also be interacting.