Question

Calculate the surface plasmon energy of a metal with free electron density of equation. 

19 Jan 2026
Answer :
Word Count : 166
The surface plasmon energy is obtained from the surface plasmon angular frequency, which for a metal–vacuum interface is [ \omega_{sp}=\frac{\omega_p}{\sqrt{2}}, ] where the bulk plasma frequency is [ \omega_p=\sqrt{\frac{n e^2}{\varepsilon_0 m_e}}. ] Given the free electron density [ n = 8\times10^{27},\text{m}^{-3}, ] electron charge [ e = 1.6\times10^{-19},\text{C}, ] electron
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