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## Main Question or Discussion Point

Hi all,

I'm doing some theory for my research, and I'm stuck! I'm trying to figure out why the absorption spectrum peaks at 420nm for silver nanoparticles. I know that this is expected for silver--I understand conceptually what's going on... but am trying to show it mathematically.

I'm trying to mathematically show why light of a given frequency (which matches the resonance frequency of the material) causes an increase in absorbance, and why/how this absorbance band broadens with nanoparticle size... I know the plasmon resonant frequency, Mie theory, and polarization all have something to do with it, but can't make the jump to modeling.

Does anyone know a good resource that I can check out to better understand how to model this? (forgive me--I'm an experimentalist-in-training)

Thanks!

-Physgirl

I'm doing some theory for my research, and I'm stuck! I'm trying to figure out why the absorption spectrum peaks at 420nm for silver nanoparticles. I know that this is expected for silver--I understand conceptually what's going on... but am trying to show it mathematically.

I'm trying to mathematically show why light of a given frequency (which matches the resonance frequency of the material) causes an increase in absorbance, and why/how this absorbance band broadens with nanoparticle size... I know the plasmon resonant frequency, Mie theory, and polarization all have something to do with it, but can't make the jump to modeling.

Does anyone know a good resource that I can check out to better understand how to model this? (forgive me--I'm an experimentalist-in-training)

Thanks!

-Physgirl