Show that the resonance of the polarizability of colloidal metal nanoparticles occurs at an angular frequency ᵣ() =1-²ₚ/².Show that the resonance of the polarizability of colloidal metal nanoparticles that obey the above eqaution occurs at an angular frequency given by
ₚ/√1+2² in a medium with a refractive index of .Evaluate this frequency for the case where the dielectric is air.



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