UV-Vis spectrophotometer has a light detector that detects photons by current signals. But the detector itself cannot differentiate between a high energy photon (short wavelength) and a low energy photon (long wavelength). It can only measure the number. However, if we require the irradiance or power per unit area, we have to multiply the number of photons with the energy of the photons. Does the UV-Vis spectrophotometer show the power per unit area or number of photons?
My guess is that it shows the power per unit area because the Mie analytical spectra for plasmonic nanoparticles agree with UV Vis spectra.