Abstract
The optical electric-dipole polarizability of a small (diameter less than 100 Å) metallic sphere is calculated in the case where the optical diamagnetic response dominates the particle-field interaction. The smallness of the particle makes it feasible to retain only the transverse self-field part of the electromagnetic propagator where determining the local field inside the particle. By assuming the conduction electrons to be confined in the constant potential of a spherical quantum well with infinitely high barriers the height and halfwidth of the particle frequency resonance peak is calculated for different particle radii, taking Au as an example. Quantum-size effects are clearly displayed and qualitative agreement is obtained with the available experimental data of Kreibig [J. Physique 38 (1977) C2-97].
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