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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}, ___ ___ ___ __________ ______ _______ ____ _____.
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