If we measure the LSPR peak wavelength of gold /silver metal nanoparticles using a UV-VIS spectrophotometer, then how the resonant wavelength gets affected when we take the measurement in transmission mode and absorption mode?
If you implement measurements of light-scattering suspensions (metal NPs are usually light-scattering objects, not only light-absorbing) in a standard two-beam spectrophotometer, you have two possibilities: 1) measurements of transmission T, and 2) measurements of extinction D (in optical density units). Since D=-lgT, the minimum in T spectrum will exactly correspond to the maximum in D spectrum, no difference in their spectral position. Extinction can be also expressed in some cases as 1-T (in %), the type of presentation depends on the tasks.
Comment: Extinction includes true absorption A and scattering S. To distinguish between them, one needs to implement measurements with use of an integrating sphere.