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Electronic Raman scattering from spherical particles.

The Raman scattering from electrons in a small metallic particle is studied theoretically. The spectrum is found to be radically different from that produced by a planar surface. The difference stems from quantum size effects. The spectrum is shown to be very sensitive to the size of the particle. We find that the spectrum is strongly influenced by resonant Raman scattering and this makes the observed spectrum much simpler than a naive density-of-states argument would suggest. In our theory we compute the matrix elements exactly using a simple free-electron-like model for metals. Possible experimental tests are proposed. Astrophysical implications for Raman scattering from interstellar dust are considered.